We can use the equation: y=mx+b
x represents the x-value, y represents the y-value, m represents slope, and b represent the y-intercept.
We must plug in what we know in order to find the value of b.
32 = 1.5*21 + b
32 = 31.5 + b
So b = 0.5
Now we know our equation is y = 1.5x + 0.5
We can find any other point on the line by plugging in any x-value. Let's try 5.
y = 1.5*5 + 0.5
So y =8 and our point is (5,8)
Answer:
(12x²+4)(x-5)
Step-by-step explanation:
To factor the expression factor by grouping.
(12x³ - 60x²) + (4x - 20)
12x²(x - 5) 4(x-5)
(12x²+4)(x-5)
Answer:
(fog)(-2)=-5
Step-by-step explanation:
Given
f(x)= -7x+2
and
g(x)= √(x+3)
For finding (fog)(-2), we have to find (fog)(x) first
In order to find (fog)(x) we will put the value of g(x) in f(x) in place of x.
(fog)(x)= -7g(x)+2
Putting the value of g(x)
(fog)(x)= -7√(x+3)+2
We have to find (fog)(-2), so we have to put at the place of x in the composition
(fog)(-2)= -7√(-2+3)+2
(fog)(-2)= -7√1+2
= -7(1)+2
= -7+2
=-5
So,
(fog)(-2)=-5
First: You add 3 to each side. Second: You multiply each side by 3. Third: You gaze in wondrous amazement at the answer, which lies revealed before you on the page.
Answer:
v = 63
Step-by-step explanation:
v = 1/2(7)(6)(3)
v = 63