Part A: The slope of f(x) is three times as great as the slope of g(x).
Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).
In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.
slope (m) = (y2 - y1)/(x2 - x1)
In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)
slope (m) = (-6 - 0)/(0 - 1)
m = -6/-1
m = 6
Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.
y = mx + b
0 = 6(1) + b
0 = 6 + b
-6 = b
So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).
Answer:
27 gallons
Step-by-step explanation:
If for every 41 miles, 3 gallons are needed. Using what we know, 369 ÷ 41 = 9. This means, to get 369 miles, we need to times the first amoiyng of gallons needed to drive 41 miles, which is 3, and times it by 9. (3×9=27) Therefore, 27 gallons of gas is needed.
Answer:
Step-by-step explanation:
for the first one it's (x + 5) x (x - 7)
second one it's (x + 5) x (x + 7)
third one is (x - 5) x ( x + 7)
fourth one is (x -5) x (x - 7)
thats the answer
Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.
<h3>What is the leading coefficient of a polynomial?</h3>
The leading coefficient of a polynomial is the <u>term that multiplies the highest exponent</u>.
In this problem, the expression is given by:
7m² + 19.
The highest exponent is of 2, in m², hence the leading coefficient is of 7.
More can be learned about the coefficient of a mathematical expression at brainly.com/question/24380382
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Sq root (54) =
sq root (9*5) =
3 * sq root (5)