Answer:
P = 8
Step-by-step explanation:
Given that P varies inversely with x then the equation relating them is
P = ← k is the constant of variation
To find k use the condition P = 7 when x = 8 , then
7 = ( multiply both sides by 8 )
56 = k
P = ← equation of variation
When x = 7 , then
P = = 8
Answer:
B. g(x)=(x+7)^2-3
Step-by-step explanation:
Vertex form is F(x)= a(x-h)^2+k
a is the reflection
h and k are the vertex (x,y) = (h,k)
in this case there is no shrink or stretch (a)
if it is translating left or right it is "h". In this case it is translated left so its -7. However if you look at vertex form it is "x-h" so -7-7= +7
If it translating up or down it is "K". In this case it is translated down so its -3.
If it was translated up or right then its positive. If it was translated down or left its negative.
After you figure out what h and k are then you just plug it in. h=-7, k=-3
so the answer in vertex form is, g(x)=(x+7)^2-3
Answer:
10+2x=4x
-2x -2x
10=2x
10/2 2/2
5=x
Step-by-step explanation:
So when you simplify an expression with two or more variables you always go for the lowest variable first. Then you can do your normal inverse steps.
Answer:
x = 5.5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define</u>
31 = x + 25.5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 25.5 on both sides: 5.5 = x
- Rewrite: x = 5.5
Hi there!
For any 45 45 90 right triangle, the length of the hypotenuse is always the square root of 2 times one of the legs.
To get the lengths of the leg, let's divide the length of the hypotenuse by the square root of 2.
We get the following:
When simplifying fractions like this, we want to avoid having radicals on the bottom. In order to remove the radical from the denominator, let's multiply the numerator and the denominator by the square root of 2.
We get the following:
That's your answer.
Have an awesome day! :)
- collinjun0827, Junior Moderator