Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
OA. 1
OB
2.
O C.
6
D.
15

The correct statement is: Both expressions are equivalent to 264 when t = 9.

To determine whether the two expressions are equivalent, we can substitute the given values of t and compare the results.

Let's evaluate the expressions for t = 5 and t = 9.

Expression 1: 8(4t - 3)

Substituting t = 5:

8(4(5) - 3) = 8(20 - 3) = 8(17) = 136

Substituting t = 9:

8(4(9) - 3) = 8(36 - 3) = 8(33) = 264

Expression 2: 32t - 24

Substituting t = 5:

32(5) - 24 = 160 - 24 = 136

Substituting t = 9:

32(9) - 24 = 288 - 24 = 264

Comparing the results, we find that:

When t = 5, both expressions evaluate to 136.

When t = 9, both expressions evaluate to 264.

Therefore, the correct statement is: Both expressions are equivalent to 264 when t = 9.

It's important to note that neither of the other statements (Both expressions are equivalent to 157 when t = 5 or Both expressions are equivalent to 46 when t = 5) is true based on the calculations above.

For similar question on expressions.

https://brainly.com/question/1852123  

#SPJ8

Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

This question is taken from the continuity and discontinuity in which we have to check whether a given function is continuous at the given point or not continuous, so we can write the given function below

at x=4 is continuous or not.

First, we are written the given function and check whether it is continuous at a given point or not, so we have to check the left hand and right-hand limit (LHL and RHL)are equal or not, Given a function

so formula we write it below at the given point

LHL=limx→−4−k(x)

RHL=limx→−4+k(x)

and applicable only limits are exist otherwise discontinuous.

RHL=LHL=k(4)

if the above formula is satisfy then the given function is continuous

now we calculate the L.H.L

LHL=limx→−4−k(x)

Now change the limit, x=-4-h and h=0.

For RHL,

For x=4,

So RHL is not equal to LHL but RHL = for the function at x=4.

Then it is not satisfied the continuous property so the function is discontinuous at x=4.

So its function value is discontinuous at x= 4.

Answer:

See proof below

Step-by-step explanation:

If B is the midpoint of AC, then AB = BC

If C is the midpoint of BD then BC = CD

Using the transitive property of equality, if a = b and  b = c  then a =c

We apply this to the above line segments and get

If AB = BC and BC = CD then AB=CD
For two line segments to be congruent they must have the same length

So AB is congruent to CD

Answer:

It should be -1

Step-by-step explanation:

I can't think of a way to put it into words, but it should be -1.

Step-by-step explanation:

wait i try to aolve this sum.

Answer:

x+115=180 x=65

90+65+y=180 y=25

Step-by-step explanation:

Answer: y=\(\frac{1}{2}\)x - 2

Step-by-step explanation:

No graphs were shown to choose from but it would look like a line that has a positive slope, goes throuh y-axis at -2 and slope of 1/2

Answer:

\(6\frac{13}{28}\)

Step-by-step explanation:

Add:

-Chetan K

Answer: 15

Step-by-step explanation:

-15 is 15 units to zero (answer should always be positive)

Answer:

( 2,2) is the midpoint

Step-by-step explanation:

To find the x coordinates of the midpoint add the x coordinates of the endpoints and divide by 2

( 8+-4)/2 = 4/2 =2

To find the y coordinates of the midpoint add the y coordinates of the endpoints and divide by 2

( -4+8)/2 = 4/2 =2

( 2,2) is the midpoint

Answer:

each hot dog is $1.75

Step-by-step explanation:

let 'h' = # of hot dogs

let 'p' = $ of pretzel

let 'p-2' = $ of hot dog

therefore we can create this equation:

5h + 3p = 20

substitute 'p-2' for 'h' to create this equation:

5(p-2) + 3p = 20

5p-10 + 3p = 20

8p - 10 = 20

8p = 30

p = 30/8 or 3.75

how we can use 3.75 for 'p' in this equation:

5h + 3(3.75) = 20

5h + 11.25 = 20

5h = 8.75

h = $1.75

Answer:

domain: all real numbers (-∞,∞)

range: y ≤ 64

Step-by-step explanation:

since the domain is arn,

and range is the coordinates

coordniate (top or bottom-most point)

downward facing so the top

(2, 64)

since it is downward facing we use ≤ instead of ≥

y value is 64 (just as x is 2)

your answer is y ≤ 64

hope this helps:)

Answer:

\(D=[x E R | {x = \infty} ]\)

\(R = [yER| y\leq 64]\)

Step-by-step explanation:

1) Identify whether the \(x\) and \(y\) values are continuous

2) Since \(x\) will continue below the \(x\)-axis, it will approach infinity.

   Therefore \(D=[x E R | {x = \infty} ]\)

3) Since \(y\) ONLY continues below 64, \(R = [yER| y\leq 64]\)

Answer:

i will try to help you....

Answer:

65 i believe

Step-by-step explanation:

130/2    

= 65

and

65 x 65 = 130

The area of the rectangular pasture is found to be 80,000 ft².

Given:

Let the pasture's rectangular length be l feet.

Given that the rectangular pasture's length being 200 feet longer than its breadth, its width must be w = l200 feet.

The pasture's boundary is;

2(l + w) = 1200

2(l + l - 200) = 1200

2l - 200 = 600

l = 400 feet

Width; w = l - 200

w = 400 - 200 = 200 feet

Rectangular area;

A = l x w

A = 400 x 200

A = 80,000 ft²

Thus, the area of the rectangular pasture is found to be 80,000 ft².

To know more about the Rectangle, here

https://brainly.com/question/25292087

#SPJ4

Answer:

It depends on the cost of grapes.

Step-by-step explanation:

Half of 12 is 6, so if each pack of grapes cost 6 or less, she can buy a pack of green and red grapes.

The equation that Deondra can use to graph the line showing different amounts of green and red grapes she can buy for $12 is :

ax   +   by    =    12

Let the number of green grapes be a

Let the cost of one green grape be x

Let the number of red grapes be b

Let the cost of one red grape be y

The total cost of green and red grapes = $12

The equation representing the illustration will be of the form:

(Number of green grapes)(Cost of 1 green grape) +

(Number of red grapes)(cost of 1 red grape)  =  Total cost

The equation that Deondra can use to graph the line showing different amounts of green and red grapes she can buy for $12 is therefore:

ax   +   by    =    12

Learn more here: https://brainly.com/question/17896524

Answer:

€ 231.88

Step-by-step explanation:

The total amount Tu's family paid for the 10 nights without the coupon = 200 × 10 = € 2000

With a Tu's mum's coupon of 6.5 % off the total room charges, the amount off = 6.5/100 × 2000 = € 130

The total amount Tu's family paid for the 10 nights with the coupon = € 2000 - € 130 = € 1870

The total room tax = 12.4 % × € 1870 = € 231.88

my answer:

8x

Step by Step:

Answer:

-1.3f-22

please mark brainliest :))))))

Step-by-step explanation:

Answer:

-1.3 - 6

Step-by-step explanation:

combine -2.2 and 0.9, since 0.9 is positive and -2.2 is negative the answer is -1.3, then simply subtract 14-8.

First you will get 4dz

Answer:

V =134.4 ft^3

Step-by-step explanation:

Volume is

V = l*w*h

V = 7*4*4.8

V =134.4 ft^3

Sum of two number = 95

Let the first number be x, then another number be x + 15.

According to the question, x + x + 15 = 95

=>2x+15=95

=>2x+15-15=95-15

=>2x=80

=>x=40

Hence, the first number = 40

And another number = 40 + 15 = 55.

Step-by-step explanation:

Now, According to our assumption we can set up an equation :

➵ (180 - x) - 3(90 - x) = 10

➵ 180 - x - 270 + 3x = 10

➵ 2x - 270 = 10 - 180

➵ 2x - 270 = -170

➵ 2x = -170 + 270

➵ 2x = 100

➵ x = 100/2

➵ x = 50

Answer: true

Step-by-step explanation:

true

Answer:

x^3y^2

there are 3 X multiplied together and 2 y multiplied together

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

Bernie gets 270, Eddy gets 135, and Gery gets 45.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation

Given,

Total amount of money = 450

Let B bernie's amoutn, E is eddy's And G is gery's

B = 2E

E = 3G

G = 3/E

B+E+G =450

2E+3G+G=450

2(3G)+3G+G = 450

10 G = 450

G = 45

E = 135

B = 270

To know more about linear equation, visit:

https://brainly.com/question/14495936

#SPJ9

Answer:

25

Step-by-step explanation:

The correct option is (B) the isometric transformation was possible due to the vertices' uniform 2 units to the right and 2 units downward displacement.

The process of turning a graph into a new graph using rotation, reflection, translation, and dilation is known as transformation.

An object is said to be rotated when it is turned by a specific amount in either the clockwise or counterclockwise directions on an x-y plane.

Reflection turns an object into a mirror image that is identical in terms of size and shape with just the coordinates altered.

Moving an item up, down, left, or right on a coordinate axis is known as translation.

Dilation is the process of modifying an object's size; the original object is either compressed or enlarged by a specific scale factor.

So, the coordinates for the object ABC in the image are A (-2, 5), B (-5, 3), C(1, 3), and.

The picture's coordinates are A'(0,3), B'(-5,-3), and C' (3, -5).

The coordinates have undergone a translational transformation.

The vertices all shifted 2 units to the right and 2 units down, allowing an isometric transformation to be applied.

Therefore, the correct option is (B) the isometric transformation was possible due to the vertices' uniform 2 units to the right and 2 units downward displacement.

Know more about Transformation here:

https://brainly.com/question/4289712

#SPJ1

Complete question:

Which describes the transformation that could have been applied to triangle ABC?

a. A dilation could have been applied because all of the vertices decreased by 2 units.

b. An isometric transformation could have been applied because all of the vertices moved 2 units right and 2 units down.

c. A dilation could have been applied because all of the vertices increased 2 units.

d. An isometric transformation could have been applied because all of the vertices moved 2 units left and 2 units up.

Answer:

4 muffins to each friend

Step-by-step explanation:

72-60=3x

12=3x

4=x