Step-by-step explanation:
right answer
...... y= 1/2x²
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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BRAH HELP PLEASEEEEEEEE
Answer:
IM DOING THE SANE THING AND IDFK
A parabola has a vertex at (-6, 6) and roots at 10 and m. Find the value of m.
Answer:
m = -22
Step-by-step explanation:
Formula for parabola in it's vertex form is given by;
y = a(x - h)² + k
Where (h, k) is the coordinate of the vertex.
We are told that vertex is at (-6, 6) and the roots are at 10 and m.
Thus;
y = a(x - (-6))² + 6
y = a(x + 6)² + 6
Since 10 is a root, thus;
0 = a(10 + 6)² + 6
-6 = 256a
a = -6/256
a = -3/128
Thus,the equation is;
y = (-3/128)(x + 6)² + 6
Since m is a root, then;
0 = (-3/128)(m + 6)² + 6
-6 = (-3/128)(m + 6)²
Rearranging, we have;
128 × 6/3 = (m + 6)²
256 = m² + 12m + 36
m² + 12m - 256 + 36 = 0
m² + 12m - 220 = 0
Using quadratic formula, we have;
m = 10 or -22
The solutions to a quadratic equation are x = 2 and x = 7. If k is a nonzero constant, which of the following must be equal to the quadratic equation?
Answer:
\( k(x - 2)(x - 7) = 0 \)
Step-by-step explanation:
Since x = 2, and x = 7 are both solutions to a quadratic equation, it implies that:
\( (x - 2) and (x - 7) \) are factors of the equation where k is included as a constant multiplying both factors.
Therefore, the equation would be as follows:
\( k(x - 2)(x - 7) = 0 \)
Answer:
k(x-2)(x-7)=0
Step-by-step explanation:
Triangle LMIN with vertices L(2, -8), M(12, 8),
and N(14,-4): * = ½
The vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).
Given that, triangle LMIN with vertices L(2, -8), M(12, 8) and N(14,-4).
Here, scale factor k=1/2
Now, by applying scale factor to the vertices, we get
L(2, -8)→1/2 (2, -8)→L'(1, -4)
M(12, 8)→1/2 (12, 8)→M'(6, 4)
N(14,-4)→1/2 (14, -4)→N'(7, -2)
Therefore, the vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).
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"Your question is incomplete, probably the complete question/missing part is:"
Triangle LMIN with vertices L(2, -8), M(12, 8), and N(14,-4): k = ½.
Which of the following correctly defines a population parameter?
A. a characteristic of the population
B. the difference between the maximum and minimum value of a sample
C. the difference between the maximum and minimum value of the population
D. a characteristic of a sample
The correct answer is A. a characteristic of the population.
A population parameter refers to a specific characteristic
A population parameter refers to a specific characteristic or numerical value that describes the entire population being studied. It is a fixed value that is typically unknown and estimated using sample data. Examples of population parameters include the population mean, population standard deviation, population proportion, etc.
NEED YOUR HELP
An e-book regularly costs $30.99. How much does it cost if it's on sale for 68% of the regular cost?
___dollars
Tilda buys a shirt for d dollars. She uses a $50 gift card and receives $22.50 in change Write an equation for this.
Answer:
$50 - d = $22.50
Step-by-step explanation:
Since she's receiving a change, it means that d is smaller than $50, therefore, it will be deducted from it to give the change.
Find the horizontal and vertical asymptotes of the curve. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
y =
7x2 + x − 1/
x2 + x − 20
A) horizontal y=
B) vertical x=
A) horizontal asymptote: y = 7 B) vertical asymptote: x = -4, 5 is the required answers for horizontal and vertical asymptotes of the curve.
The horizontal asymptote of a curve is a horizontal line that the curve approaches as x approaches infinity or negative infinity. The vertical asymptote of a curve is a vertical line that the curve approaches but never crosses as x approaches a certain value. In this case, the horizontal asymptote is found by letting x approach infinity in the fraction and observing what the value of y approaches. In the limit as x approaches infinity, the x^2 term dominates and thus y approaches 7, which is the horizontal asymptote. To find the vertical asymptote, we find the values of x where the denominator equals 0 and the numerator is not equal to 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5. Thus, the vertical asymptotes are x = -4 and x = 5. To find the vertical asymptotes, we look for the values of x where the denominator of the function equals 0 and the numerator does not equal 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5, which means that x = -4 and x = 5 are the vertical asymptotes of the function. These values of x represent the values at which the function is undefined, and as x approaches these values from either side, the value of the function approaches positive or negative infinity.
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anyone out here play fn or 2k? cause when i get my game bck im trynna run 10-15 only
Answer:
I do but I only play fn not 2k
In an hyperbola, the fixed points that have a constant difference in distance from the center are called _
A. Asymptotes
B. Centers
C. Foci
D. Vertices
Please select the best answer from the choices provided
OA
OB
OC
OD
The correct answer is C. Foci.
A hyperbola is defined as the flat open curve resulting from the intersection of a right circular cone from a plane not parallel to any of its origins. The line joining the foci of the hyperbola is called the base line.
The perpendicular to the middle of the baseline is called the center line. It becomes apparent that all points of the center line are equidistant from the foci.
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NO LINKS!!
The length of a rectangle is 5 less than twice the width. What values of the width will make the area less than 150 square feet? Define your variable(s). Write inequalities that could be used to solve this problem. Then solve the problem.
Answer: Anything between 0 and 10, excluding both endpoints.
In terms of symbols we can say 0 < w < 10 where w is the width.
===================================================
Explanation:
You could do this with two variables, but I think it's easier to instead use one variable only. This is because the length is dependent on what you pick for the width.
w = width
2w = twice the width
2w-5 = five less than twice the width = length
So,
width = wlength = 2w-5which lead to
area = length*width
area = (2w-5)*w
area = 2w^2-5w
area < 150
2w^2 - 5w < 150
2w^2 - 5w - 150 < 0
To solve this inequality, we will solve the equation 2w^2-5w-150 = 0
Use the quadratic formula. Plug in a = 2, b = -5, c = -150
\(w = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\w = \frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-150)}}{2(2)}\\\\w = \frac{5\pm\sqrt{1225}}{4}\\\\w = \frac{5\pm35}{4}\\\\w = \frac{5+35}{4} \ \text{ or } \ w = \frac{5-35}{4}\\\\w = \frac{40}{4} \ \text{ or } \ w = \frac{-30}{4}\\\\w = 10 \ \text{ or } \ w = -7.5\\\\\)
Ignore the negative solution as it makes no sense to have a negative width.
The only practical root is w = 10.
If w = 10 feet, then the area = 2w^2-5w results in 150 square feet.
----------------------
Based on that root, we need to try a sample value that is to the left of it.
Let's say we try w = 5.
2w^2 - 5w < 150
2*5^2 - 5*5 < 150
25 < 150 ... which is true
This shows that if 0 < w < 10, then 2w^2-5w < 150 is true.
Now try something to the right of 10. I'll pick w = 15
2w^2 - 5w < 150
2*15^2 - 5*15 < 150
375 < 150 ... which is false
It means w > 10 leads to 2w^2-5w < 150 being false.
Therefore w > 10 isn't allowed if we want 2w^2-5w < 150 to be true.
50 Points! Multiple choice algebra question. Transform both sides of each equation to determine which is a polynomial identity. Photo attached. Thank you!
The only equation that is a polynomial identity is (A), (c+d)³ = c³ - d³ + 3cd(c + d).
How to express the valueIt should be noted that to determine which equation is a polynomial identity, we need to simplify both sides of each equation and see if they are equal for all values of c and d.
(A) (c+d)³ = c³ + 3c²d + 3cd² + d³
= c³ - d³ + 3cd(c + d)
The left-hand side can be expanded using the binomial formula. The right-hand side is a polynomial of degree 3, so we can see that equation (A) is a polynomial identity.
(B) (c+d) = c + d³ + 3cd(c + d)
= d³ + c³ + 3cd(c + d) + c + d - c³
= d³ + c³ + 3cd(c + d) + c + d
The right-hand side can be simplified, but it is not equal to the left-hand side for all values of c and d. Therefore, equation (B) is not a polynomial identity.
(C) (c+d)³ = c³ + 3c²d + 3cd² + d³
= c³ + d³ + 3cd(c + d) + cd(c - d)
The right-hand side is not equal to the left-hand side for all values of c and d, so equation (C) is not a polynomial identity.
(D) (c+d)³ = c³ + 3c²d + 3cd² + d³
= c³ - d³ + 3cd(c - d) + c³ + d³
= 2c³ + 3cd(c - d)
The right-hand side is not equal to the left-hand side for all values of c and d, so equation (D) is not a polynomial identity.
Therefore, the only equation that is a polynomial identity is (A), (c+d)³ = c³ - d³ + 3cd(c + d).
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Grandma decides to pay for her new granddaughter's education. She gives
her one penny on her first birthday, and doubles the gift every year. Round
to the nearest hundredth. Do not use a dollar sign, numerical values only.
What will be the total of all the gifts on the girl's 18th birthday?
Answer:
Around 0.40
Step-by-step explanation
If she doubles the gift every year, do 18x2=36, 36 rounds to 40 or 0.40.
The total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is evaluated as 2621.43 dollars
What is the sum of the terms of a geometric series till nth term?Lets suppose the geometric sequence has its initial term is \(a\), multiplication factor is r, then, its sum is given as:
\(S_n = \dfrac{a(r^n-1)}{r-1}\)
(sum till nth term)
The sequence would look like \(a, ar, \cdots, ar^{n-1},\cdots\)
For this case, we are specified that:
Grandma gives 1 penny on first birthday of her granddaughterGrandma increases the gift by doubling the previous birthday gift.That shows that the gift amounts each year will form a geometric sequence where a = 1, and r = 2 (as amounts are doubled).
The gift amounts would look like:
\(\\1, 2, 4, \cdots\\or\\1, 2\times 1, 2^2 \times 1, \cdots\)
We have to find these terms' sum till 18th term(18th term is the gift of her 18th birthday).
Thus, we have: n = 18, a = 1, and r = 2.
The sum will be:
\(S_n = \dfrac{a(r^n-1)}{r-1} = \dfrac{1(2^{18}-1)}{2-1} = 2^{18} - 1 = 262143 \: \rm cents\)
There are 100 cents in 1 dollars,
Thus, 1 cent = 0.01 dollars,
and thus, 262143 cents form 2621.43 dollars.
Thus, the total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is evaluated as 2621.43 dollars
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Asked has saved $27 in bills to buy a bicycle helmet. Which set of bills represent the $27 Aksel has saved?
Answer:
A $20
A $5
And 2 ones.
add them up it =27
Step-by-step explanation:
pls help me!!! i can’t get it right
Answer:
24√3 square units
Step-by-step explanation:
The side length of a regular hexagon is 2/√3 times the length of the apothem. For an apothem of 2√3, the side length is ...
s = (2/√3)(2√3) = 4
The perimeter P of the hexagon is 6 times the side length, so is 6×4 = 24.
The area is given by ...
A = 1/2Pa
where P is the perimeter and 'a' is the apothem.
A = 1/2(24)(2√3) = 24√3
The area of the hexagon is 24√3 square units.
_____
A hexagon can be divided into 6 congruent equilateral triangles. The apothem will be the altitude of one of those, so will divide the triangle into two triangles with angles 30°, 60°, and 90°. The ratios of the side lengths of such a triangle is something you might want to remember: 1 : √3 : 2. The altitude corresponds to the "√3" side, and the side length of the equilateral triangle corresponds to the "2" side. That is, we have the proportion ...
apothem : hexagon side = √3 : 2
Multiplying by 2 gives the actual values in the hexagon of this problem:
apothem : hexagon side = 2√3 : 4
Solve by completing the square.
j² + 14j + 5 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.
Submit
or j =
=
Answer:
\(j = 7 \pm \sqrt{44}\)
Step-by-step explanation:
First, move the constant term to the other side of the equation.
\(j\² + 14j + 5 = 0\)
\(j\² + 14j = -5\)
Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.
\(j^2 + 14j + (14/2)^2 = -5 + (14/2)^2\)
\(j^2 + 14j + (7)^2 = -5 + (7)^2\)
\(j^2 + 14j + 49 = -5 + 49\)
\(j^2 + 14j + 49 = 44\)
Now, we can factor the left side as a square.
\((j+7)(j+7) = 44\)
\((j+7)^2 = 44\)
Finally, we can take the square root of both sides to solve for j.
\(\sqrt{(j+7)^2} = \sqrt{44\)
\(j+7=\pm\sqrt{44}\)
\(\boxed{j = 7 \pm \sqrt{44}}\)
Note that there are two solutions, as \(\sqrt{44\) could be positive OR negative because of the even root property:
if \(x^2 = a^2\),
then \(x = \pm a\)
because both \((+a)^2\) and \((-a)^2\) equal \(a^2\).
Consider the parabola given by the equation:
f
(
x
)
=
−
2
x
2
−
8
x
+
14
Find the following for this parabola:
A) The value of
f
(
−
5
)
:
B) The vertex = (
,
)
C) The
y
intercept is the point (0,
)
D) Find the two values of
x
that make
f
(
x
)
=
0
. Round your answers to two decimal places. Write the values as a list, separated by commas:
x
=
Answer:
Sure, here are the answers to your questions:
**A) The value of $f(-5)$ is $-2$.**
To find the value of $f(-5)$, we can simply substitute $x=-5$ into the equation $f(x)=-2x^2-8x+14$. This gives us:
$$f(-5)=-2(-5)^2-8(-5)+14=-2(25)+40+14=-50+54=4$$
**B) The vertex of the parabola is $(2,6)$.**
To find the vertex of the parabola, we can complete the square. This involves adding and subtracting $\left(\dfrac{{b}}{2}\right)^2$ to both sides of the equation, where $b$ is the coefficient of the $x$ term. In this case, $b=-8$, so we have:
$$\begin{aligned}f(x)&=-2x^2-8x+14\\\\ f(x)+20&=-2x^2-8x+14+20\\\\ f(x)+20&=-2(x^2+4x)\\\\ f(x)+20&=-2(x^2+4x+4)\\\\ f(x)+20&=-2(x+2)^2\end{aligned}$$
Now, if we subtract 20 from both sides, we get the equation of the parabola in vertex form:
$$f(x)=-2(x+2)^2-20$$
The vertex of a parabola in vertex form is always the point $(h,k)$, where $h$ is the coefficient of the $x$ term and $k$ is the constant term. In this case, $h=-2$ and $k=-20$, so the vertex of the parabola is $(-2,-20)$. We can also see this by graphing the parabola.
[Image of a parabola with vertex at (-2, -20)]
**C) The $y$-intercept is the point $(0,14)$.**
The $y$-intercept of a parabola is the point where the parabola crosses the $y$-axis. This happens when $x=0$, so we can simply substitute $x=0$ into the equation $f(x)=-2x^2-8x+14$ to find the $y$-intercept:
$$f(0)=-2(0)^2-8(0)+14=14$$
Therefore, the $y$-intercept is the point $(0,14)$.
**D) The two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.**
To find the values of $x$ that make $f(x)=0$, we can set the equation $f(x)=-2x^2-8x+14$ equal to zero and solve for $x$. This gives us:
$$-2x^2-8x+14=0$$
We can factor the left-hand side of the equation as follows:
$$-2(x-2)(x-3)=0$$
This means that either $x-2=0$ or $x-3=0$. Solving for $x$ in each case gives us the following values:
$$x=2\text{ or }x=3$$
However, we need to round our answers to two decimal places. To do this, we can use the calculator. Rounding $x=2$ and $x=3$ to two decimal places gives us the following values:
$$x=2.5\text{ and }x=-3.5$$
Therefore, the two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.
Please please please help me
I really need to pass this I will give brainliest and a lot of points please just help me solve this correctly
The length of side AB is about 5.87 units.
How to find the side of a right triangle?The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.
Therefore, let's find the length AB in the right triangle.
Using trigonometric ratios,
cos 33 = adjacent / hypotenuse
Therefore,
Adjacent side = AB
hypotenuse side = 7 units
cos 33° = AB / 7
cross multiply
AB = 7 cos 33
AB = 7 × 0.83867056794
AB = 5.87069397562
AB = 5.87 units
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An auto body shop repaired 22 cars and trucks. There were 8 fewer cars than trucks. How many trucks were repaired. URGENT PLEASE HELP
If an auto body shop repaired 22 cars and trucks and there were 8 fewer cars than trucks, 15 trucks were repaired.
Let's assume the number of trucks repaired is "x". We know that the total number of cars and trucks repaired is 22. Since there were 8 fewer cars than trucks, the number of cars repaired must be x-8. Therefore, we can set up the following equation:
x + (x-8) = 22
Simplifying, we get:
2x - 8 = 22
Adding 8 to both sides:
2x = 30
Dividing by 2:
x = 15
We can check this by plugging x back into the equation and verifying that the number of cars repaired is 7, which is 8 fewer than 15.
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someone pls help! will give brainliest
Find (ƒ • g)(x) where ƒ(x) = x^2 + 2, g(x) = x – 3.
(ƒ • g)(x) = x3 – 3x2 + 2x – 6
(ƒ • g)(x) = x2 – x + 5
(ƒ • g)(x) = x3 – 6
(ƒ • g)(x) = x2 + x – 1
Answer:
x^3-3x^2+2x-6
Step-by-step explanation:
ƒ(x) = x^2 + 2
g(x) = x – 3
(ƒ • g)(x) = ( x^2 + 2) * (x – 3)
FOIL
= x^3 -3x^2 +2x -6
Dan received image off a pair of dress shoes that originally cost $54.00 and 20% off a pair of tennis shoes that originally cost $44.00. How much more did he pay for his dress shoes than for his tennis shoes, before taxes?
A$4.70
B$5.30
C$10.00
D:$13.50
Answer:
hey preston im watching ur 7thgrade butt
Step-by-step explanation:
find the third, fourth, and fifth terms of the sequence defined by
a1 = 1, a2 = 3,
and
an = (−1)nan − 1 + an − 2
for
n ≥ 3.
The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.
The sequence is defined by the following formula:
a1 = 1, a2 = 3,
and
an = (-1)nan - 1 + an - 2 for n ≥ 3.
To find the third term (a3), we substitute n = 3 into the formula:
a3 = (-1)(3)(a3 - 1) + a3 - 2.
Next, we simplify the equation:
a3 = -3(a2) + a1.
Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:
a3 = -3(3) + 1.
Simplifying further:
a3 = -9 + 1.
Therefore, the third term (a3) is equal to -8.
To find the fourth term (a4), we substitute n = 4 into the formula:
a4 = (-1)(4)(a4 - 1) + a4 - 2.
Simplifying the equation:
a4 = -4(a3) + a2.
Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:
a4 = -4(-8) + 3.
Simplifying further:
a4 = 32 + 3.
Therefore, the fourth term (a4) is equal to 35.
To find the fifth term (a5), we substitute n = 5 into the formula:
a5 = (-1)(5)(a5 - 1) + a5 - 2.
Simplifying the equation:
a5 = -5(a4) + a3.
Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:
a5 = -5(35) + (-8).
Simplifying further:
a5 = -175 - 8.
Therefore, the fifth term (a5) is equal to -183.
In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.
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Dimitri has let out 40m of his kite string, which makes an angle of 72° with the horizontal ground. If the kite flies directly over Sarah's head, what is the distance between Dimitri and Sarah?
Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.
How to Apply the Cosine Ratio?The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
Using the cosine ratio, we have:
Reference angle (∅) = 72 degrees
Hypotenuse length = 40 m
Adjacent length = distance between Dimitri and Sarah = x
Plug in the values:
cos 72 = x/40
x = cos 72 * 40
x ≈ 12.4 [to one decimal place]
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Solve the quadratic equation by using the square root property.
(2x + 3)2 = 81
Answer: x = 3 and x = -6
Step-by-step explanation:
the first step is to square root both sides of the equation to get rid of the exponent (2) on the left side of the equation, however lets break it down:
\((2x + 3)^2 = 81\\\\\)
81 can be rewritten as 9^2
\((2x + 3)^2= 9^2\)
and now lets square root both sides:
\(\sqrt{(2x+3)^2} =\sqrt{9^2}\)
The squares (the exponent 2) cancels out with the square root:
2x + 3 = +/- 9
now lets isolate x by subtracting 3 from both sides:
2x + 3 = +/- 9
-3 -3
2x = -3 +/- 9
2x = -3 + 9
2x = 6
2x = -3 - 9
2x = 12
And after simplifying, you can divide two on both sides:
2x = 6
/2 /2
x = 3
2x = -12
/2 /2
x = -6
x = 3 and x = -6
WILL
GIVE
BRAINLIST
...
.
2. Stephanie will be sending 2 parcels of personal items to her niece. The big parcel weighs 12
lbs 11 oz and the smaller parcel is 3 lbs 1 oz lighter than the big parcel. What is the combined
weight of the two parcels?
Weight of the two parcels 22lbs 5oz.
What is Weight?
The force exerted on an object by gravity is known as its weight. The gravitational force acting on the item is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.
Given,
The weight of big parcel = 12lbs 11oz
The weight of small parcel = 12lbs 11oz - 3lbs 1oz
= 9lbs 10oz
The weight of total parcel = big parcel + small parcel
= 12lbs 11oz + 9lbs 10oz
= 21lbs 21oz = 22lbs 5oz
Hence, The weight of the 2 parcels is 22lbs 5oz.
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the function h is defined by the following rule. h(x)=4x+5 complete the function table
For the function h(x) the values of h(x) when x=0,1,2,3,4,5 are 5, 9, 13,17,21,25 respectively
The given function is h(x) 4x+5
h of x equal to four times of x plus five
We have to find the values of h(x) for different values of x
x=0, h(x) = 5
x=1, h(x)=9
x=2, h(x)=13
x=3, h(x)=17
x=4, h(x)=21
x=5, h(x)=25
Hence, for the function h(x) the values of h(x) when x=0,1,2,3,4,5 are 5, 9, 13,17,21,25 respectively
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Determine whether 548 is greater than or less than 373. Then write the expression showing this using < or >.
Answer:
548 > 373
Step-by-step explanation:
548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.
The ">" symbol is used to represent "greater than" in mathematical comparisons.
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Find the missing side length of each right triangle. 5.) 60 m 63 m (a) 19.2 m (b) 87 m (c) 11 m (d) 85 m
To find the missing side length we need to use the Pythagorean theorem:
\(c^2=a^2+b^2\)Where a and b are the legs of the triangle:
\(\begin{gathered} a=60 \\ b=63 \end{gathered}\)We substitute this to find the hypotenuse c (the missing side)
\(\begin{gathered} c^2=60^2+63^2 \\ c^2=3600+3969 \\ c^2=7,569 \end{gathered}\)Now, we take the square root of both sides of the equation:
\(\begin{gathered} \sqrt[]{c^2}=\sqrt[]{7,569} \\ c=87 \end{gathered}\)Answer: 87m