3x^2 - 9 x = -2
Substitution
3(-2)^2 - 9
Expanding
3(4) - 9
Simplify
12 - 9
Result
3
The value is 3
Please help me solve this fast!
Answer:
1) 7/8 8/7
2) 4.4
3) 3.7
4) 2.8
Step-by-step explanation:
Length of bottom side of Figure A: 8 cm
Length of bottom side of Figure B: 7 cm
From Figure A to Figure B, the scale factor is 7/8.
7/8
8/7
5 × 7/8 = 35/8 = 4.375
4.4
3.2 × 8/7 = 3.657...
3.7
3.2 × 7/8 = 2.8
2.8
Prove whether the following inferences are valid using the long or short truth table method. If they are invalid, give the counterexample.
A > -B |= B > -A
Answer:
6
Step-by-step explanation:
Select the graph of the equation below.
A.
B.
C.
D.
y= 1/2x^2 + 2x -6
The graph of the equation above include the following: D. graph D.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first graph of a quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0).
Since the leading coefficient (value of a) in the given quadratic function y= 1/2x² + 2x -6 is positive 1/2, we can logically deduce that the parabola would open upward and the solution would be on the x-intercepts. Also, the value of the quadratic function f(x) would be minimum at -8.
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The points (8.1) and (8, 11) lie on a circle with a radius of 5. Find the center of the circle
Answer:
(8, 6)
Step-by-step explanation:
First, we find the distance between the two points.
Both have the same x-coordinate, 8, so the distance is simply the difference in y.
|11 - 1| = 10
The distance between the points is 10.
Since the radius of the circle is 5, the greatest distance between two points on the circle is 10, and the two points must be the endpoints of a diameter.
The midpoint of a diameter is the center of the circle.
(1 + 11)/2 = 12/2 = 6
The center o the circle is (8, 6).
Harper is starting a printing business. She purchases plain t-shirts for $5 dollars each and spends $150 for printing equipment She decides to sell printed shirts for $10 each. How many t-shirts does Harper need to sell so that the amount of money she spends to start her business and the amount of money she earns are the same.
Answer:
30
Step-by-step explanation:
150/5 = 30
30+30+30+30+30 = 150
Jerry poured water to a height of 1 feet into a
new aquarium with dimensions shown below.
2 ft.
1 ft.
Water
2
3 ft.
One cubic foot of water weighs approximately
62 pounds. What is the weight of the water that
Jerry put in the aquarium?
B. 465 pounds
A. 403 pounds
C. 558 pounds
D. 744 pounds
Since 1 cubic feet = 62 pounds, the weight of the water that Jerry put in the aquarium is 558 pounds
How to calculate the volume/weight of waterWe have to find the volume of water in the aquarium.
Recall the shape of the aquarium is a rectangular prism. Therefore,
volume = lwh
where
l = lengthw = widthh = heightTherefore,
l = 3 ft
w = 2 ft
h = 1.5 ft
volume = 3 × 2 × 1.5
volume of water = 9 ft³
Therefore,
1 ft³= 62 pounds
9 ft³ = ?
cross multiply
weight of water = 9 × 62
weight of water = 558 pounds
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Find the value of x in each case:
9514 1404 393
Answer:
x = 14°
Step-by-step explanation:
The triangle's interior angle at C is the supplement of the exterior angle marked 124°.
C = 180° -124° = 56°
The exterior angle at B is the sum of the remote interior angles:
6x = 56° +2x
4x = 56° . . . . . . subtract 2x
x = 14° . . . . . . . . divide by 4
Draw 9:10 on a clock
Answer:
put the short hand at nine
Step-by-step explanation:
put the long hand and 10 minutes
Answer:
you can draw on your notebook and draw the clock
QUESTION 3
Solve the following using the correct order of operations
70+(3-11)/6+8x42
Answer:
≈ 404.6666667
Step-by-step explanation:
70 - 8 ÷ 6 + 8 x 42
70 - 1.33333333 + 8 x 42
70 - 1.33333333 + 336
68.6666667 + 336
404.6666667
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The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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-4 is greater than of equal to x - 11
Using the inequality rule we know that 11 is greater than -11, (11 > -11).
What is an Inequality Equation?Mathematical expressions with inequalities are those in which the two sides are not equal.
Contrary to equations, we compare two values in inequality.
Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.
So, let's say the inequality equation looks like this: A
Right now, A is valued at
Let p be used to representing the initial number.
P equals 11, so
Let q be used to representing the second number.
Q has a value of -11.
-11 and 11 are both numbers that are greater than zero.
Then, 11 > -11 ... (1)
A has a value of 11 > -11.
Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).
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Correct question:
Is 11 greater than, equal to, or less than -11?
Pls help! Step by step:)
Answer:
tan30° = \(\frac{5}{12}\)
Step-by-step explanation:
tan30° = \(\frac{opposite}{adjacent}\) = \(\frac{5}{12}\)
Answer:
\(\dfrac{5}{12}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
From inspection of the given right triangle:
θ = 30°O = 5A = 12H = 13Substitute the values into the tan trigonometric ratio:
\(\implies \tan(30^{\circ})=\dfrac{5}{12}\)
Three brothers share some money. The oldest 5/11 of the money. The next boy gets gets 7/12 of the remainder. What fraction of the money does the youngest boy get?
The fraction of the money the youngest boy does get is 5x/22.
Given that, three brothers share some money. The oldest 5/11 of the money.
Let the total money be x.
Share of oldest boy = 5/11 ×x
= 5x/11
Remainder = x-5x/11
Remainder = 6x/11
The next boy gets 7/12 of the remainder.
Share of next boy = 7/12 × 6x/11
= 7x/22
Share of youngest boy = 6x/11 - 7x/22
= (12x-7x)/22
= 5x/22
Therefore, the fraction of the money the youngest boy does get is 5x/22.
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Solve for the portion. Round to hundredths when necessary.
14.5% of 1,800 is
The value of 14.5% of 1,800 is 261 by using the concept of percentage.
What is meant by percentage?In mathematics, a percentage is a value or ratio expressed as a fraction of 100.
The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.
A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.
Given,
14.5% of 1,800
=(14.5/100)×1800
=261
Therefore, the answer is 261.
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Retro Rides is a club for owners of vintage cars and motorcycles. Every year the club gets together for a ride. This year, 50 vehicles
participated in the ride. The total number of tires of all the vehicles was 148. Assuming each car has 4 tires and each motorcycle has
2 tires, how many each of cars and motorcycles participated in the ride?
Answer:
24 cars, 26 motorcycles
Step-by-step explanation:
x = number of motorcycles
y = number of cars
x + y = 50
x = 50 - y
2x + 4y = 148
2(50 - y) + 4y = 148
100 - 2y + 4y = 148
100 + 2y = 148
2y = 48
y = 24 cars
x = 50 - 24
x = 26 motorcycles
I need help with this question please with details
The dimensions of the rectangular box are given as follows:
All the dimensions.
A. 6 inches long, 3 inches wide, 3 inches tallB. 9 inches long, 2 inches wide, 3 inches tallC. 18 inches long, 3 inches wide, 1 inch tallD. 27 inches long, 2 inches wide, 1 inches tallHow to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The box's volume is obtained as follows:
54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)
Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.
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Select all the equations that represent a line passing through the point (-2, 5) with a slope
of 4.
□A) y 5= 4(x+2)
B) 4x=y=
J=-13
Cy+5=4(x 2)
D) 4x - y = 13
By+2=4(x - 5)
□F) 2x - 5y = 4
All the equations that represent a line passing through the point (-2, 5) with a slope of 4 are:
A. y - 5 = 4(x + 2)
B) 4x – y = –13
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
x and y represents the data points.m represents the slope of a line.c represents the y-intercept of a line.From the information provided above, we have the following slope and data points on the line:
Points = (-2, 5).Slope, m = 4At data point (-2, 5), a linear equation of this line can be calculated in point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = 4(x + 2)
y - 5 = 4x + 8
y = 4x + 8 + 5
y = 4x + 13
4x - y = -13
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Complete Question:
Select all the equations that represent a line passing through the point (–2, 5) with a slope of 4. Multiple select question.
A) y − 5=4(x+2)
B) 4x – y = –13
C) y+5=4(x – 2)
D) 4x – y=13
E) y+2=4(x – 5)
F) 2x – 5y=4
Зл
Given that tan a=-1, what is the value of
sece, for
2
- 2
O2
0 0
O 1
Answer:I think i remember this i think is A.
Step-by-step explanation:
The value of sec θ is -√2 in the interval 3π/2 < θ < 2π, where θ is the angle whose tangent is -1.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We are given that tan θ = -1, and we need to find the value of sec θ in the interval 3π/2 < θ < 2π.
Since tan θ = -1, we know that θ is in the third quadrant, where both x and y coordinates are negative. In the third quadrant, the reference angle for θ is π - θ, so we have:
tan θ = -1 = tan(-π/4)
π/4 = π - θ
θ = 3π/4
Now, we can use the fact that sec θ is the reciprocal of cos θ, and find cos θ in the third quadrant.
In the third quadrant, cos θ is negative. We can use the Pythagorean identity to find cos θ:
sin²θ + cos²θ = 1
Since sin θ is positive and we know that θ is in the third quadrant, we have:
sin θ = -√(1 - cos²θ)
tan θ = sin θ/cos θ = -1
Substituting sin θ and simplifying, we get:
-√(1 - cos² θ)/cos θ = -1
√(1 - cos² θ) = cos θ
Squaring both sides:
1 - cos²θ = cos²θ
2cos²θ = 1
cos²θ = 1/2
cos θ = -√2/2 (since θ is in the third quadrant)
Finally, we can find sec θ:
sec θ = 1/cos θ = -√2
Therefore, the value of sec θ is -√2 in the interval 3π/2 < θ < 2π, where θ is the angle whose tangent is -1.
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WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
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What is the completely factored form of x2 - 64/?
Answer:
(x-8)(x+8)
Step-by-step explanation:
Answer:
(x + 8)(x − 8)
Step-by-step explanation:
A driver starts a trip with 30 gallons of gasoline in the tank of his car. The car
burns 4 gallons for every 80 miles. Assuming that the amount of gasoline in the tank decreases linearly, write a linear function that relates the number of gallons G left in the tank after a journey of "d" miles.
Answer:
Step-by-step explanation:
We have to look at this as something as basic as combining like terms. We know that the driver starts with 30 GALLONS of gas and loses x GALLONS while driving, giving us an equation that says
Gallons of gas used = Gallons in car - gallons used; in other words, if everything is in the same label, you can subtract. We start off with 30 gallons, thus:
Gallons of gas used = 30 G
That's a start, at least. Now we need to figure out how much is burned. Remember, in order to do any subtraction at all we have to have like labels, so we need what goes after that subtraction sign to also be a label in gallons, G. The driver burns 4 gallons per 80 miles times how many miles he drives, so the expression for that is
\(\frac{4G}{80mi}*dmi\) and what happens here is that the label of miles cancels out, leaving us with just G, which is what we're after. The whole equation then is
\(G=30-\frac{4}{80}d\), choice 1
A farmer earns $___ for each orange she sells. She had to pay $___ for fertilizer. Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money the farmer could earn selling any number of oranges, n. Make sure the values you choose make sense for this situation. (6 points) Part B: Write an algebraic expression from your written description used in Part A. Let n stand for the number of oranges. (6 points)
3 and 2/4 as a percent
3 and 2/4 converted as a percent is 3.50%.
What is a percentage?
Percent means 'out of 100'. Think of any measurement or object split into one hundred equal bits. Each bit is one percent of the whole thing.
Given the question above, we need to convert 3 and 2/4 as a percent.
So,
\(\sf \dfrac{2}{4} =0.50\)
\(3+0.50\)
\(=3.50\%\)
Hence 3 and 2/4 converted as a percent is 3.50%.
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Rumus suatu fungsi di nyatakan dengan f (x) = 2x + 5. Jika f(a) = 7, nilai a adalah
Step-by-step explanation:
As my previous answer got deleted for being wrong (in which it was right), I will answer again.
The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.
This is proof that it is right, and that there are some corrupt admins on brainly.
How to get to this solution?
Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).
If we do so, we get 2a + 5 = 7.
Solving this equation, we get a = 1.
When renting a limo for prom, the number of people varies inversely with the cost per person. Originally
there were 6 people and the cost per person was $34. If the number of people changed to 12, what would be
the new cost per person?
*variations and square roots*
Answer:
.68???
Step-by-step explanation:
When renting a limo for prom, the number of people varies inversely with the cost per person. Originally
there were 6 people and the cost per person was $34. If the number of people changed to 12, what would be
the new cost per person?
*variations and square roots*
What is the sum of the fractions? Use the number line to help find the answer.
3/5 plus -7/5
Answer:
-4/5
Step-by-step explanation:
Answer:
The answer is -4/5
Step-by-step explanation:
Hope this helps!:)
The commutative property does not work for which operations?check all that applys.
Answer: The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.
Step-by-step explanation:
Hope this is right!!!!
-10(-2)
Please show work!!
Answer:
20
Step-by-step explanation:
a negative times anegative is a postive
-10× -2= +20
F(x)=2x^2+7 what is the value f(-2)
Answer:
f(x)=2(x+7/4)^2-49/8
Step-by-step explanation:
6. Rewrite y = √√4x+16 +5 to make it easy to graph using a translation. Describe the graph.
Answer:
~
Step-by-step explanation:
To make it easier to graph using a translation, we can rewrite the given equation as:
y - 5 = √√4x + 16
This is obtained by subtracting 5 from both sides of the equation.
The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.