Answer:
y=(2x^2+24x)+25
y=2x(x^2+12x)+25
y=2x(x^2+12x+36)+25-2x(36)
Y=2x(x+6)^2+25-72
Y=2x(X+6)^2-47
Step-by-step explanation:
sorry it was late
Answer: y=2(x+6)²-5
Step-by-step explanation: First you find the coefficient of x^2, which is 2, then take out 2 as a factor, 24/2 which will equal to 12. After that do 47 divided by 2 if you calculate that it will equal to 23.5. y=2(x²-12+23.5) y =2(x²-12x+23.5)
Next Step: Figure out the coefficient of x. To make it easier,look what is in front of x as you can see it is 12. Then you divide 12/2 which is 6. Then square 6, which is 36. Then you add and subtract 36. To write the first three terms as a square, you do ( x+6)^2. Then do -36 + 23.5 if you calculate that it will get you wil get -12.5 . Now that you have calculated that distribute 2, then do 2 times -12.5 which is -12.5. This is how it shoud look like y=2(x+6)² -12.5.
70 > 4y - 10 Solve the inequality for y.
Simplify your answer as much as possible.
Answer:
y < 20
Step-by-step explanation:
70 > 4y - 10
80 > 4y
20 > y
y < 20
50 POINTS PLEASE HELP Based on this data, you could expect a skate blade with a radius of hollow of 19 mm to have a stopping distance of
4 1/2 m
5 m
5 1/2 m
6 m
Answer:
5 m
Step-by-step explanation:
Find the greatest common factor of 24, 40 and 60.
Answer:
GCF of numbers 24, 40, 60 is 4
GCF(24, 40, 60) = 4
PLEASEE HELP ASAP!! 50 POINTS!
Select the correct answer. The graph of function f is shown. If g(x) = -2f(x), which graph is the graph of function g?
The graph of function f is shown. If g(x) = -2f(x), which graph is the graph of function g is show on the attachment
What is a graph?Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x). That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).
See the attached image. The table shows how the values of y change for each value of x used in the respective function. Plot those new values to produce the graph.
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Solve the equation for x.
(x - 4) - (x + 7) = 8x
11
Answer:
-11 is the answer. I think
which answer lists only angles that are supplements of angle 1
Answer:
joe mama
Step-by-step explanation:
2 Points
If f(x) = 3x - 2 and g(x) = 2x + 1, find (f- g)(x).
O A. 5x-1
O B. 5x - 3
O C. X-3
O D. 3 - x
SUBN
Answer:
x-3
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1,
(f- g)(x) = 3x - 2 - ( 2x+1)
Distribute
= 3x -2 -2x-1
Combine like terms
x-3
(PLS HURRY!) On Melissa's 6th birthday, she gets a 2000$ CD that earns 6% interest, compounded. If the CD matures on her 14th birthday, how much money will be available?
Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.
What is Compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -
\(A = P(1 + r/n)^(nt)\)
Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).
It is not given how many times per year the interest is compounded, so assume it is compounded annually.
Using these values in the formula -
\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)
Therefore, the value is obtained as $3187.69.
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what does the height of each bar in the histogram represen
The height of each bar in a histogram represents the frequency or count of the data values that fall within the range specified by that bar.
For example, if a histogram has a bar that ranges from 0-10 and the height of that bar is 5, it means that there are 5 data values that fall within the 0-10 range. Each bar in a histogram represents a different range of data values, and the height of the bar indicates how many data values fall within that range.
In other words, the height of each bar in a histogram represents the number of times that a certain range of data values occurs in the data set.
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what does parallelepiped focus on
Answer:
A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length. Parallelepipeds result from linear transformations of a cube (for the non-degenerate cases: the bijective linear transformations).
Step-by-step explanation:
A parallelepiped focuses on three-dimensional figures formed by six parallelograms.
How to explain the parallelepiped?A parallelepiped shape has the following features
They are three-dimensional figuresThey are formed by 6 parallelogramsOpposite parallelograms are congruentThink of a cube or a cuboid.
Notice that they contain squares and rectangles
A parallelepiped is to a parallelogram as a square is to a cube and a rectangle to a cuboid
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n open rectangular box is formed by cutting congruent squares from the corners of a piece of cardboard and folding the sides up. if the original piece of cardboard was 24 inches by 45 inches, what are the dimensions of the box with maximum volume?
1080 inches² are the dimensions of the box with maximum volume .
What is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.rectangular box length = 24 inches
width = 45 inches
maximum volume = 24 * 45
= 1080 inches²
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formula for determining the nth term in a sequence of approximations to a solution of a polynomial equation
The formula for determining the nth term in a sequence of approximations to a solution of a polynomial equation is known as Newton's method or Newton-Raphson method. It is an iterative process that involves using the derivative of the polynomial to refine the approximation.
1. Start with an initial guess for the solution, denoted as x0.
2. Use the polynomial equation and its derivative to calculate the next approximation using the formula:
x1 = x0 - (f(x0) / f'(x0))
where f(x0) is the value of the polynomial at x0 and f'(x0) is the derivative of the polynomial evaluated at x0.
3. Repeat step 2 until the desired level of accuracy is achieved or until a maximum number of iterations is reached.
Therefore, Newton's method is an iterative approach that uses the derivative of the polynomial to refine the approximation to the solution of a polynomial equation.
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The price of an item yesterday was $140. Today, the price fell to $119. Find the percentage decrease.
Answer:
-15%
Step-by-step explanation:
Find g(f(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.
Answer: 12x^3 + 19x^2 -27x -40
Step-by-step explanation:
Finding f(x) times g(x) is multiply the two polynomials
(4x+5)(3x^2 + 1x -8) Apply the distributive property twice to solve
4x ( 3x^2 + 1x -8)
12x^3 + 4x^2 - 32x
5(3x^2 + 1x -8)
15x^2 + 5x - 40
12x^3 + 4x^2 - 32x + 15x^2 + 5x -40 now combine like terms
12x^3 + 19x^2 -27x -40
The function g(f(x)) will be written as g(f(x)) = 12x² + 4x - 27.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 3x² + x - 8 and g(x) = 4x + 5
The function g(f(x)) is written as,
g(f(x)) = 4(3x² + x - 8) + 5
Simplify the function, then we have
g(f(x)) = 4(3x² + x - 8) + 5
g(f(x)) = 12x² + 4x - 32 + 5
g(f(x)) = 12x² + 4x - 27
The capability g(f(x)) will be composed as g(f(x)) = 12x² + 4x - 27.
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hailey is using the distributive property to mentally compute the product 7(18). if she rewrites 18 as 10 8, and then multiplies using the distributive property, what two products will she add together to get the final product?
To answer your question, Hailey is using the distributive property to simplify the calculation of 7(18). The distributive property allows us to break up a multiplication problem into smaller, more manageable parts.
Hailey has rewritten 18 as 10 + 8, and she will now use the distributive property to calculate 7 times each of these two numbers separately.
So, the two products that Hailey will add together to get the final product are 7 times 10 (which is 70) and 7 times 8 (which is 56).
To check her work, she can add these two products together:
70 + 56 = 126
So, using the distributive property and breaking up 18 into 10 and 8, Hailey can mentally compute the product of 7(18) as 126.
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Lamont has 30 books to pack in boxes . Each box holds 7 books. If he fills each box, how much books are left over ?
Answer:
B. 2
Step-by-step explanation:
To solve this, we need to divide 30 by 7. 30/7=4 R2
The remainder is 2, so there are 2 books left over.
Hope his helps and have an amazing day *^____^*
Answer:
2
Step-by-step explanation:
If 1 box holds 7 books...
2 boxes hold 14 books.
3 boxes hold 21 books.
4 boxes hold 28 books.
5 boxes hold 35 books.
However, since there are only 30 books, the 5th box won't be completely filled up. This gives us the answer: If Lamont fills up each box he would have 30-28, or 2 books left over.
Hope this helps!
which is the distance between 1, -4 and 1, 18
Answer:
22
Step-by-step explanation:
cancel the 1 and add 18+4=22
You are shopping for a new pair of jeans and
can only spend $35.00. You have found a pair
you like that is on sale for $32.99. If sales tax
is 7%, do you have enough money to purchase
the jeans? Explain your answer.
Answer:
7% percent off of $33.00 would be $30.69 cents
Hope helps
water flows into an empty reservoir at a rate of gal/hour . what is the quantity of water in the reservoir after 9 hours?
The quantity of water in the reservoir after 9 hours be, 2835 gallons.
Given, water flows into an empty reservoir at a rate of 2800 + 15t gal/hour.
we have to find the quantity of water in the reservoir after 9 hours.
at the rate of 2800 + 15t
put t = 9
So, the quantity of water in the reservoir after 9 hours be,
2800 + 15(9)
2800 + 135
= 2835
So, the quantity of water in the reservoir after 9 hours be, 2835 gallons.
Hence, the quantity of water in the reservoir after 9 hours be, 2835 gallons.
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PLEASE HELP QUICK AHHHH <333
Answer:
=> ( -6,-10 )Step-by-step explanation:
Given :
x = -6
-7x + 6y = -18 ... i)
Putting the value of x in equation ...i)
=> -7 (-6) + 6y = -18
=> 42 + 6y = -18
=> 6y = -18 -42
=> 6y = - 60
=> y = -60/6
=> y = -10
The value of y = -10 and x = -6
Answer:
x= 4, y=6
Step-by-step explanation:
9x-9y = -18
9x=-18+9y
x=-2+y
-6(-2+y) + 9y = 6
-12-6y+9y=6
3y=18
y=6
9x -9(6)=-18
9x-54=-16
9x=36
x=4
find f(-10) f(x)=7x-5
Answer:
f(-10) = -75Step-by-step explanation:
F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.
f(-10) = 7(-10) - 5
f(-10) = -70 - 5
f(-10) = -75
Answer:
Rewrite the equation in term of
x
and
y
.
f
(
x
)
=
2
x
2
−
7
x
+
5
Rewrite the equation in vertex form.
Tap for fewer steps...
Complete the square for
2
x
2
−
7
x
+
5
.
Tap for more steps...
2
(
x
−
7
4
)
2
−
9
8
Set
y
equal to the new right side.
y
=
2
(
x
−
7
4
)
2
−
9
8
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
2
h
=
7
4
k
=
−
9
8
Find the vertex
(
h
,
k
)
.
(
7
4
,
−
9
8
)
Step-by-step explanation:
which of the following best describes the lines y - 3 = 4x and 6 - 2y = 8x?
coincident
intersecting
perpendicular
skew
Thank you for helping me I really appreciate it!
Answer:
intersecting
Step-by-step explanation:
Un tipo de tela cuesta $31.25 por 5 yardas cuadradas. Otro tipo de tela cuesta $71.50 por 11 yardas cuadradas. ¿La relación entre el número de yardas cuadradas y el costo es proporcional entre los dos tipos de tela?
Answer:
como proporción de dos tipos de tela es diferente.
por lo tanto, la relación entre el número de yardas cuadradas y el costo
no es proporcional entre los dos tipos de tejido
Explicación paso a paso:
Para que una relacion sea proporcional
a:b = c:d
en otra forma
a/b = c/d
______________________________________________
Proporción para el primer tipo de tejido
costo de tela/ área de tela = 31.25/5 = 6.25
Ratio para otro tipo de tejido
costo de tela/ área de tela = 71.50/11 = 6.5
como proporción de dos tipos de tela es diferente.
por lo tanto, la relación entre el número de yardas cuadradas y el costo
no es proporcional entre los dos tipos de tejido
Step-by-step explanation:
21.
Ada Mae bought a pen for $1.50 and 3 DVDs that each cost the same amount. She spent $22.50
in all. Which equation models the situation?
A, 1.5+3d=22.5
B. 3(1.5) +d=22.5
C. 3d-1.5=22.5
D. 1.5=22.5+3d
Items: 1 Pen: 1.50
3 DVDS: ???
Total : 22.50
It is A, 1.5+3d=22.5.
Hope this helps!!!
It is not B because you are not multiplying the number and cost of 3 DVDS by the cost of one pen.
It is not C because you are not subtracting to find the total cost. You are adding.
It is not D because 3d is part of the total cost so that option just doesn't make sense.
Melinda will roll two standard six-sided dice and make a two-digit number with the two numbers she rolls. For example, if she rolls a 6 and a 3, she can either form 36 or 63. What is the probability that she will be able to make an integer between 10 and 20, inclusive
The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.
The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) with the two numbers she rolls can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.
To find the number of favorable outcomes, we need to identify the combinations of two numbers that will result in a two-digit number between 10 and 20. We can list these combinations as follows:
11, 12, 13, 14, 15, 16
Notice that we only have six favorable outcomes.
Now, let's determine the total number of possible outcomes when rolling two six-sided dice. Each die has six possible outcomes (1, 2, 3, 4, 5, 6), so the total number of outcomes is 6 multiplied by 6, which equals 36.
To calculate the probability, we divide the number of favorable outcomes (6) by the total number of possible outcomes (36):
Probability = Favorable outcomes / Total outcomes
Probability = 6 / 36
Probability = 1 / 6
Therefore, the probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.
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Ethan swam 3.6 miles on Monday and 2.75 miles on Tuesday. How many total miles did Ethan swim on both days?
Answer:
6.35
Step-by-step explanation:
you have to add 3.6 + 2.75
Answer:
6.35 miles (give brainliest)
Step-by-step explanation:
the round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.8 mm. round values to 4 decimal places when possible.
The round-off errors when measuring the distance that a long jumper has jumped are uniformly distributed between 0 and 5.8 mm.
To round values to 4 decimal places, we need to consider the range of possible values between 0 and 5.8 mm.
When rounding a measurement, we look at the digit in the fifth decimal place. If it is 5 or greater, we round up the fourth decimal place. If it is less than 5, we keep the fourth decimal place as it is.
Let's consider some examples to better understand this process:
1. If the measured distance is 2.3457 mm, the digit in the fifth decimal place is 7, which is greater than 5. Therefore, we round up the fourth decimal place to 2.3458 mm.
2. If the measured distance is 4.9999 mm, the digit in the fifth decimal place is 9, which is greater than 5. Again, we round up the fourth decimal place to 5.0000 mm.
3. If the measured distance is 3.2142 mm, the digit in the fifth decimal place is 2, which is less than 5. In this case, we keep the fourth decimal place as it is, resulting in 3.2142 mm.
By following this rounding process, we can round off the measured distances to 4 decimal places, taking into account the uniformly distributed round-off errors between 0 and 5.8 mm.
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solve number 1 and don't forget to use chain rule
To use the chain rule, we first identify the outer function and the inner function. We then take the derivative of the outer function, leaving the inner function untouched. Finally, we multiply the result by the derivative of the inner function.In summary, the chain rule is an important tool in calculus used to find the derivative of composite functions.
However, I can give an explanation of the chain rule. The chain rule is a rule in calculus used to find the derivative of a composite function. A composite function is a function that is made up of two or more functions, where the output of one function is the input of another. To use the chain rule, we first identify the outer function and the inner function. We then take the derivative of the outer function, leaving the inner function untouched. Finally, we multiply the result by the derivative of the inner function. For example, let's say we have the function f(x) = sin(3x). The outer function is sin(x) and the inner function is 3x. Using the chain rule, we take the derivative of the outer function, which is cos(3x), and leave the inner function untouched, which is 3. We then multiply the two together to get the derivative of f(x), which is f'(x) = 3cos(3x).
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how many different ways are there to seat five people around a circular table, where two seatings are considered to be the same if each person has the same neighbor to the left and the same neighbor to the right?
If the person has same neighbor to the left and right , Seating is considered same. By using circular permutation, the answer is 2.
What do you mean by permutation?A conceivable order or arrangement for a group of items, especially one among several alternatives.
What is the formula to calculate permutation?The formula for permutation is:
\(P(n,r)= \frac {n!}{(n-r)!}\) (Permutation)
\(P(n)=(n-1)!\) (Circular permutation)
Total number of people=5
Since the orientation with same neighbor to left and right is considered same. We consider 3 people as 1 which represent a person with neighbors.
Total people used in circular permutation=3
P(3)= (3-1)!
=2!
=2.
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2c-8 = -18
c = ?
...
Answer:
c = -5
Step-by-step explanation:
Now we have to,
→ find the required value of c.
The equation is,
→ 2c - 8 = -18
Then the value of c will be,
→ 2c - 8 = -18
→ 2c = -18 + 8
→ c = -10/2
→ [ c = -5 ]
Hence, the value of c is -5.