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andre [41]
2 years ago
10

Suppose f(x)=2x-5 and g(x)=|-3x-1|. Find the following value. G(2)-f(0)=

Mathematics
1 answer:
Misha Larkins [42]2 years ago
4 0

Hello!

To find the value of of g(2) - f(0), we need to substitute "2" into g(x), and "0" into f(x).

This is how it would look after substituting: f(0) = 2(0) - 5 and g(2) = |-3(2) - 1|. Also, since the expression says we are subtracting f(x), the entire equation becomes negative: -f(0) = -(2(0) - 5).

With that, we can solve for the final value.

|-3(2) - 1| + -(2(0) - 5) (multiply)

|-6 - 1| + -(0 - 5) (use the distributive property)

|-6 - 1| + 5 (simplify)

|-7| + 5 (simplify the absolute value of -7)

7 + 5 = 12

Therefore, g(2) - f(0) is equal to 12.

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HELPPP ASAP PLEASEEE THANK YOU
ahrayia [7]

Step 1: Find the slope

Slope formula = (y2 - y1) / (x2 - x1)

---You can choose any two points when finding the slope!

Point 1 = (-2,-10)

Point 2 = (-1,-3)

Slope = (-3 - - 10) / (-1 - - 2)

Slope = 7 / 1

Slope = 7

Step 2: Find the y-intercept

Now that we have the slope, we'll plug that and one point into slope-intercept form. Then, we'll solve for b.

Slope-Intercept Form: y = mx + b

---m is the slope, b is the y-intercept

Point = (-1, -3)

Slope = 7

-3 = 7(-1) + b

-3 = -7 + b

b = 4

Step 3: Put it all together

Now that we know the slope and y-intercept, all that's left to do is plug them into slope-intercept form.

Slope-Intercept Form: y = mx + b

Slope = 7

Y-Intercept = 4

Line: y = 7x + 4

Correct Answer: A

Hope this helps!

5 0
2 years ago
During his shift, Damion filled 8 orders in 30 minutes. If he keeps up that rate, how many orders will he fill in 7 hours?
Veronika [31]
The answer is 28
30 minutes is half of an hour so you have to divide 7 by 2 which is 3.5 and then multiply 3.5 by 8 to get 28
3 0
2 years ago
PLEASE HELP WILL MARK BRAINEIST
klemol [59]
12.195+9.13=21.325 is the answer
5 0
3 years ago
Read 2 more answers
I am learning about estimating quotients using multiples. 188 divided by 5 =
Dmitriy789 [7]

Answer:

37.6

Step-by-step explanation:

8 0
2 years ago
Five-sixths of the distance from 1 to −13
Finger [1]

The distance of 1 to -13 is 14.

Five sixths of this is (.8333*14), which equals 11.6667.

8 0
3 years ago
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