Answer:
I think it is 5 + 2x
Step-by-step explanation:
Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
Answer:
(y+2) = (1/3)(x-1)
Answer in point-slope form, you can rearrange this into the form which you need.
Step-by-step explanation:
recall that the general point-slope form of a linear equation looks like :
(y - y₁) = m(x - x₁)
where m is the slope and (x₁,y₁) is any point on the line
here we are given m = 1/3 and (x₁,y₁)=(1,-2)
simply substitute this info into the general equation above
(y - y₁) = m(x - x₁)
(y - (-2) ) = (1/3)(x - 1)
(y+2) = (1/3)(x-1) Answer in point-slope form, you can rearrange this into the form which you need.
4c
4(18)
72 is the score for 18 correct problems
I attached an image with the complete question.
Answer:volume of attic = 1526.04 ft³
Explanation:Volume of cone can be calculated using the following rule:
Volume =
* area of base * height
Volume =
* π * radius² * height
We are given that:
π = 3.14
radius = 18/2 = 9 ft
height = 18 ft
Substitute in the equation to get the volume as follows:
Volume =
* 3.14 * (9)^2 * (18) = 1526.04 ft³
Hope this helps :)
