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Gnom [1K]
3 years ago
7

Given g(x)=-5x+2,find g(4)

Mathematics
2 answers:
zhannawk [14.2K]3 years ago
5 0
G(4)=-5(4)+2
=-20+2
g(4)=-18
kakasveta [241]3 years ago
4 0

Answer: -18

Step-by-step explanation:

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Detections for the last 2/3 : whirred the equation in point-slope form and slope-intercept form for each line
Lilit [14]

slope intercept form

y = mx + b

Find the slope

slope = (y₂ - y₁)/(x₂ - x₁)

let (-2, 5) = (x₁, y₁), and (3, 9) = (x₂, y₂)

Plug in the corresponding numbers to the variables.

slope = (9 - 5)/(3 - (-2))

Simplify

slope = 4/(3 + 2)

slope = 4/5

Plug in 4/5 for m

y = mx + b

y = (4/5)x + b

Solve for b. Plug in a coordinate for x and y: I am using (3,9) in this case

x = 3, y = 9

9 = (4/5)3 + b

Simplify

9 = 12/5 + b

Isolate the b. Note the equal sign. What you do to one side, you do to the other.

9 (-12/5) = 12/5 (-12/5) + b

9 - 12/5 = b

9 - 2 2/5 = b

b = 6 3/5 or 6.6

y = 4/5x + 6.6  is your slope intercept form

--------------------------------------------------------------------------------------------------------------

Point slope form: (y - y₁) = m(x - x₁)

(x, y) = (-2, 5), (x₁, y₁) = (3, 9)

Plug in the corresponding number to the corresponding variable

(5 - 9) = m(-2 - 3)

Simplify

-4 = m(-5)

Note the equal sign. What you do to one side, you do to the other. Isolate the m.

Divide -5 from both sides

(-4)/-5 = (-5m)/-5

-4/-5 = m

m = 4/5

you're slope = 4/5 (as seen in the equation above).

--------------------------------------------------------------------------------------------------------------

hope this helps

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Y^2+9y+20=0
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3 years ago
The sum of two-fifths of a number and<br> three-tenths of the number.
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Step-by-step explanation:

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vagabundo [1.1K]
15. The formula is a^2+b^2=c^2. So you just plug in the 9 and 12 in the a and b. You get 225. You then take the square root of that and get 15.

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Need answer quick please! Thank you
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