If 32(2)c = 8c+7, what is the value of c? o 1 o 2 o 3 o 5

Which graph shows a line with a slope of 2 and a y-intercept of 0?

Vikki [24]

Answer: C

Step-by-step explanation: graph C’s slope is 2x and has a y intercept of 0. This is the only right answer because A does not have a y intercept of 0, B’s slope is -2x, and D is not a function.

7 0

2 years ago

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Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.

DerKrebs [107]

Answer:

The answer to your question is below

Step-by-step explanation:

1) Given

2) Subtraction property of equality (because we are subtracting the same quantity on both sides).

3) Simplification

4) Subtraction property of equality ( because we are subtracting the same quantity on both sides).

5) Simplification

6) Multiplication property of equality (because we are multiplying the same quantity on both sides).

7) Simplification

7 0

3 years ago

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Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.

larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

Step-by-step explanation:

Given expression:

$f(x)=x^{2}-8 x+24$

To find:

The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

$y=a x^{2}+b x+c$

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is $x=\frac{-b}{2 a}$

By applying the values, the axis of symmetry of given equation is

$x=\frac{-(-8)}{2(1)}=4$

The vertex form of quadratic equation is $f(x)=a(x-h)^{2}+k$

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

$f(x)=x^{2}-8 x+24$

$f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24$

$f(x)=(x-4)^{2}+8$

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0

3 years ago

Estimate the difference of the decimals below by rounding to the nearest whole number. 23.827

iragen [17]

Step-by-step explanation:

The key rule is: to round up the number one digit to the left has to be the number 5 or more, else it rounds down.

23.827 rounds up because the 8 is more than 5.

1.218 rounds down because 2 is less than 5.

24-1= 23

6 0

2 years ago

Suppose a computer technical support representative can answer calls from 8 customers in an hour. What is the probability that a

Ganezh [65]

Answer:

Option d

Step-by-step explanation:

We need 2 fundamental data to solve this problem.

1.- Average number of clients attended in 1 hour.

2.- Time in which it is expected that a client will be attended.

They tell us that the average number of clients served in an hour is m = 8

They tell us to calculate the probability that the client will be seen in less than 15 minutes.

But the time t in the formula is given in hours.

Therefore we must write 15 minutes according to hours.

We know that $1\ hour = 60 minutes$ .

So:

$15\ minutes[\frac{1\ hour}{60\ minutes}] = 0.25\ hours$ .

Now we substitute in the formula $m = 8$ and $t = 0.25$ to find P.

$P = 1 -e^{-mt}\\\\P = 1- e^{-(8)(0.25)}\\\\P = 1 - e^{-2}\\\\P = 0.8646\\\\P= 86\%$

4 0

3 years ago

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