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2 years ago

5

Given the slope a slope of 2 and a y-intercept of 7, write the equation in slope intercept form

1 answer:

MariettaO [177]2 years ago

4 0

Answer:

$y = 2x + 7$

Step-by-step explanation:

$y = mx + b$

m = slope

b = y-intercept

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___(x – 2)2 − 4 = -3x2 + 12x − 16

fiasKO [112]

The answer is x= 1/5 or 0.2

8 0

2 years ago

a cylindrical water tank has a radius of 14.5 feet and the is filled with approximately 4950 cubic feet of water which of the fo

d1i1m1o1n [39]

Volume of Cylinder = πr²h
Radius r = 14.5 feet
Volume, V = 4950 cubic feet

4950 = π*14.5²*h

π*14.5²*h = 4950

h = 4950 / (π*14.5²) Use your calculator with π function

h = 7.494

Therefore height ≈ 7.50 feet to the nearest tenth of a foot.

7 0

2 years ago

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

charle [14.2K]

ANSWER

See below

EXPLANATION

Given

$f(x) = \frac{ {x}- 9 }{x + 5}$

and

$g(x) = \frac{ - 5x - 9}{x - 1}$

$(f \circ \: g)(x)= \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }$

Expand:

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9x + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9x + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }$

Since the denominators are the same, they will cancel out,

$(f \circ \: g)(x)= \frac{ - 14x}{ - 14} = x$

8 0

2 years ago

What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?

svlad2 [7]

Answer:

11,8,5

Step-by-step explanation:

an=11-3(n-1)

Let n=1

a1 = 11 - 3(1-1)

= 11 -0

=11

Let n=2

a2 = 11-3(2-1)

= 11 -3(1)

= 8

Let n=3

a3 = 11-3(3-1)

= 11 -3(2)

= 11 -6

=5

5 0

2 years ago

I need help please help me13=w-14/2

Brilliant_brown [7]

13=w-14/2
divide 14 by 2
13=w-7
add 7 to the other side (inverse)
20=w
OPTIONAL: switch the equation around
w=20

3 0

2 years ago