George is the calmest gorilla in the zoo. He weighs 9 pounds more than three times the weight of the shortest adult gorilla. The
1 answer:
You might be interested in
Answer: See below
Step-by-step explanation:
For this problem, we are given four functions, and their domains. All we have to do is figure out which equation we want to plug x into and solve.
f(-20)
For this first problem, we have x=-20. Then we can eliminate equations 1, 2, 4. We know equation 3 is the correct one because it says x<-12. -20 is less than -12. Therefore we plug in x=-20 to the third equation.
f(-20)=3(-20)-7 [multiply]
f(-20)=-60-7 [subtract]
f(-20)=-67
--------------------------------------------------------------------------------------------
f(0)
For this problem, we have x=0. Then we can eliminate equations 1, 2, 3. We know equation 4 is the correct one because it says x∈{-15, -12, 0, 10}. This means x has to be either one of the four numbers listed in the parentheses. We see that x=0 is in there. Therefore we plug in x=0 to the fourth equation.
f(0)=11-|-0-1| [subtract]
f(0)=11-|-1| [absolute value]
f(0)=11-1 [subtract]
f(0)=10
--------------------------------------------------------------------------------------------
f(15)
For this problem, we have x=15. Then we can eliminate equations 2, 3, 4. We know equation 1 is the correct one because it says x>10. This means x has to be greater than 10. 15 is greater than 10. Therefore we plug in x=15 to the first equation.
[add]
[absolute value]
[subtract]
Answer:
Step-by-step explanation:
In order to find the slope of this equation, we can convert it into slope-intercept form, where we can find the slope more easily.
Slope intercept form is usually in the form , where m is the slope and b is the y-intercept.
Let's algebraically manipulate this problem so we solve for y.
<em>(Subtract 7x from both sides)</em>
<em>(Divide both sides by -2)</em>
<em>(Rearrange the equation</em>)
From here, we can now see our equation is , in the form
. Since m is the slope, and
is m, our slope is
.
Hope this helped!
Answer:
<h2> y = 0.25x + 2</h2>Step-by-step explanation:
(0, 2) ⇒ x₁ = 0, y₁ = 2
(-4, 1) ⇒ x₂ = -4, y₂ = 1
So the slope:
The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is: y - y₀ = m(x - x₀)
m = 0.25
(0, 2) ⇒ x₀ = 0, y₀ = 2
Therefore:
y - 2 = 0.25(x - 0)
y - 2 = 0.25x {add 2 to both sides}
y = 0.5x + 2 ← the slope-intercept form of the equation