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.
Answer: 169.52
Step-by-step explanation
%increase which is 5% =100 x final - initial
---------------------
initial
the initial is $169.52
and the final $178
Answer:
Theme: Understanding integers (5th grade)
Which integer represents this scenario?
........
Question 1: scenario: 8-point penalty
A. -8 B. 8
Answer: A
Question 2: scenario: adding 4 new pictures to an album
A. -4 B. 4
Answer: B
Question 3: scenario: 10-dollar profit
A. -10 B. 10
Answer: B
Question 4: scenario: 3 fewer centimeters of rain this year
A. -3 B. 3
Answer: A
Question 5: scenario: going down 10 flights of stairs
A. -10 B. 10
Answer: A
Step-by-step explanation:
A positive number can represent a gain or an increase.
A negative number can represent a loss or a decrease.
For Question 5:
This scenario involves a loss or a decrease. Use a negative integer to represent this scenario.
The integer -10 represents this scenario.
Answer:
y=2.5x+5 or f(x)=2.5x+5
Step-by-step explanation:
We know 2 given points. (-2, 0) and (0,5)
With these two points we can calculate the slope:
0-5/-2-0+
-5/-2=
5/2 = 2.5
Because the y-intercept is given at 5, we can put these numbers into y=mx+b and get y=2.5x+5 or f(x)=2.5x+5
Answer:
98
Step-by-step explanation:
Z as Zach; W as Wendy; L as Lee; C as Chen
We know that average score of Z,W, and L is 91, so:
(z + w + l)/3 = 91
z + w + l = 273
Average score W, L, C = 89, so:
(w + l + c)/3 = 89
w + l + c = 267
We take both:
(z + w + l) – (w + l + c) = 273 – 267
z – c = 6
Average score Z and C = 95
(z + c)/2 = 95
z + c = 190
(z + c) – (z – c) = 184
2c = 184
c = 92
z + c = 190
z + 92 = 190
z = 98
So, Zachs score is 98
