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3 years ago

How many dimes do you have if you have 80 nickels

2 answers:

7 0

Dimes are worth twice as much as a nickel, therefore you would divide the amount of nickels by half:

80 / 2 = 40

Therefore you have 40 dimes.

Another way to do this is to find your current amount of money, since dimes are worth 10 cents and nickels are worth 5 cents:

80 * 5 = 400 cents
400 / 10 = 40 dimes

Alik [6]3 years ago

5 0

You would have 40 dimes..

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In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the function with its graph

MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

$f(x)=(x-2)^{2}+1$

45)

The function g(x) is given by:

$g(x)=f(x-1)$

using f(x) we can find f(x-1)

$g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1$

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

$g(x)'=2(x-3)$

$2(x-3)=0$

$x=3$

Puting it on g(x) we will get y value.

$y=g(3)=(3-3)^{2}+1$

$y=g(3)=1$

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

$g(x)=f(x+2)$

$g(x)=((x+2)-2)^{2}+1$

$g(x)=(x)^{2}+1$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2x$

$0=2x$

$x=0$

Evaluatinf g(x) at this value of x we have:

$g(0)=(x)^{2}+1$

$g(0)=1$

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

$g(x)=f(x)+2$

$g(x)=(x-2)^{2}+1+2$

$g(x)=(x-2)^{2}+3$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}+3$

$g(2)=3$

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

$g(x)=f(x)-3$

$g(x)=(x-2)^{2}+1-3$

$g(x)=(x-2)^{2}-2$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}-2$

$g(2)=-2$

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

8 0

3 years ago

A new cell phone was $625 but it was reduced to $500. What was the percent of decrease?

zepelin [54]

Answer:

80%

Step-by-step explanation:

To find percent decrease (new amount/original amount)*100

(500/625)*100

=80

to check

625*.80

=500

625*80%

=500

4 0

3 years ago

Read 2 more answers

The Table Shows The Number Of Rows Of Bricks A Worker Can Lay In Different Numbers Of Hours

klemol [59]

The answer is 3. If you set it up in a T table and label x as the number of hours and y as the number of rows. Then use rise over run (y over x) the fractions simplify to 3 over 1.

4 0

3 years ago

If Jon needs to find the value of cos P in △PQR , which of the following ratios should he use?

viva [34]

Answer:

Pr/ok

Step-by-step explanation:

4 0

3 years ago

Sasha’s daily tips this work week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately r

Marizza181 [45]

B is your answer !!!