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2 years ago

Write a real-world problem that can be modeled by the equation 1.25x=0.75x+50

1 answer:

7 0

We have such equation
1.25x=0.75x+50 /-0.75x (subtract 0.75 both sides)
1.25x-0.75x=0.75x-0.75x+50
0.5x=50 /*2 (multiply both sides times 2)
0.5x*2=50*2
x=100 - its the answer

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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

2 years ago

Don gets $25 for whitewashing a fence. How many fences would he have to whitewash to earn a trip to camp that costs $165.00

Mademuasel [1]

The answer is 6.6 or if you wanted it rounded 7 hope that helped have a good day and always good luck

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2 years ago

Which transformations could have occurred to map ABC

antoniya [11.8K]

A translation and dilation

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2 years ago

The answer to the question please

son4ous [18]

10 flute players
the ratio will be 6:5 on both

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3 years ago

Mr. Loza had to stop at 7-Eleven for gas on his way to school. He bought four gallons of gasoline for $16.80. How much is the pr

mihalych1998 [28]

Answer:

Every gallon costs $4.20

Step-by-step explanation:

If you divide the money he spent and the gallons he needed, you come up with a total price of $4.20 a gallon. For the amounts of gallons he could get with $40 bucks, he would have 9.5 gallons, as you just need to divide 40 by 4.2. I hope this helps :)

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2 years ago

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