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andrey2020 [161]

2 years ago

11

HELP PLEASE Ahmet and Avril are playing in a seesaw. Ahmet weighs 78 Lbs. and Avril weighs 65 Lbs. If Avril is seated 5 ft from

the center of balance, how far is Ahmet seated from the center?

1 answer:

horsena [70]2 years ago

7 0

Answer:

For a balanced seesaw, we have the following proportion:

r1/r2 = W2/W1

r1 = distance Jo is seated from center

W1 = Jo's weight = 65 lb

r2 = distance Tim is seated from center = 6 ft

W2 = Tim's weight = 78 lb

Plug in the numbers and solve for r1.

Step-by-step explanation:

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3 years ago

Read 2 more answers

Answer this question

andreyandreev [35.5K]

Answer: OPTION B.

Step-by-step explanation:

We have the following functions f(x) and g(x):

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

In order to find for which values of "x" $f(x)=g(x)$ , we can check each option given:

<u>OPTION A</u>

Substitute $x=-1.75$ into the function f(x) and evaluate:

$f(-1.75)=(-1.75)^2-2(-1.75)-8=-1.4375$

Substitute $x=-1.75$ into the function g(x) and evaluate:

$g(-1.75)=\frac{1}{4}(-1.75)-1=-1.4375$

Substitute $x=-1.438$ into the function f(x) and evaluate:

$f(-1.438)=(-1.438)^2-2(-1.438)-8=-3.0561$

Substitute $x=-1.438$ into the function g(x) and evaluate:

$g(-1.438)=\frac{1}{4}(-1.438)-1=-1.3595$

This is not the correct option.

<u>OPTION B</u>

We already know that:

$f(-1.75)=-1.4375$

$g(-1.75)=-1.4375$

Substitute $x=4$ into the function f(x) and evaluate:

$f(4)=(4)^2-2(4)-8=0$

Substitute $x=4$ into the function g(x) and evaluate:

$g(4)=\frac{1}{4}(4)-1=0$

<em> This is the correct option.</em>

<u>OPTION C</u>

We already know that:

$f(-1.438)=-3.0561$

$g(-1.438)=-1.3595$

Therefore, this is not the correct option.

<u>OPTION D</u>

We already know that:

$f(4)=0$

$g(4)=0$

Substitute $x=0$ into the function f(x) and evaluate:

$f(0)=(0)^2-2(0)-8=-8$

Substitute $x=0$ into the function g(x) and evaluate:

$g(0)=\frac{1}{4}(0)-1=-1$

This is not the correct option.

7 0

4 years ago