Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
Answer: The answer would be B
<u>Write out the equation in slope-intercept form: </u>
y=-5/3x+6 (Once we know that, it'll be easier to convert it into standard form.)
<u>Subtract -5/3 from both sides of the equation:</u>
y+5/3x=6
<u>Subtract 6 from both sides:</u>
y+5/3x-6=0
<u>Multiply both sides by 3 to get rid of the fraction:</u>
3y+5x-18=0
<u>Then arrange the numbers to x and y are on one side by itself:</u>
3y+5x=18
<em>And that's your answer!</em>
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Hope this helped you!
Answer:

Step-by-step explanation:
Let the time for which i bike is = x hours
Let the distance traveled in x hours = y miles
Ratio of distance and time will be = x : y
I travel 11.2 miles in 1.4 hours then the ratio of time and the distance traveled will be 1.4 : 11.2 Or 14 : 112
then the ratio of distance and time will be same in both the cases
So equation will be


Therefore, equation representing the proportional relationship will be

Answer:
m = -5
Step-by-step explanation:
1/5 m = -1
Multiply each side by 5
5*1/5 m = -1*5
m = -5
Answer:
7
Step-by-step explanation:
that answer isnt real do u know the answer yet