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3 years ago

Need help understanding this problem please

Mathematics

1 answer:

faust18 [17]3 years ago

7 0

f(g(x)) is a composite function:

$f(g(x))=f(\sqrt{x+5})=2\sqrt{x+5}-1$

Plug in <em>x</em> = 4:

$f(g(4)) = 2\sqrt{4+5}-1=2\sqrt9-1=2\cdot3-1=\boxed{5}$

so the answer is C.

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3 years ago

How do write this problem out?

KATRIN_1 [288]

(x^2-3x)-(x-3)
x(x-3)-1(x-3)
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3 years ago

The area of a rectangular wall of a barn is 153 square feet. Its length is 8 feet longer than the width. Find the length and wid

r-ruslan [8.4K]

Answer and Step-by-step explanation:

Area (A) = 153

Length (l) = 8 + w

Width (w) = w

A = lw

153 = (8 + w)(w)

153 = $w^{2} + 8w$

0 = $w^{2} + 8w$ - 153

$w^{2} -9w + 17w - 153$

(w - 9)(w + 17)

w = 9

w = -17

We can't have a negative length, so we only use 9.

w equals 9.

That means l equals 17 (9 + 8 = 17).

Length = 17

Width = 9

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3 years ago

↔ ↔

MrRissso [65]

Answer:

1. $\dfrac{4}{3}$

2. $y=6x-11$

3. $4$

Step-by-step explanation:

The equation of the line that passes trough the points A(14,-1) and B(2,1) is

$\dfrac{x-14}{2-14}=\dfrac{y-(-1)}{1-(-1)},\\ \\\dfrac{x-14}{-12}=\dfrac{y+1}{2},\\ \\y+1=-\dfrac{1}{6}(x-14),\\ \\y=-\dfrac{1}{6}x+\dfrac{7}{3}-1,\\ \\y=-\dfrac{1}{6}x+\dfrac{4}{3}.$