Answer:
true
Step-by-step explanation:
See the attachment for an example.
<h3>Slope = 10</h3><h3>y intercept at (0,750)</h3><h3>x intercept at (-75, 0)</h3>
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Explanation:
The function f(x) = 10x+750 is the same as y = 10x+750
It is in the form y = mx+b where m = 10 is the slope and b = 750 is the y intercept. So that covers the first two parts of the answer.
The x intercept is found by replacing y with 0, then solving for x like shown below
y = 10x + 750
0 = 10x + 750
10x + 750 = 0
10x = -750 ....... subtract 750 from both sides
x = -750/10 .... divide both sides by 10
x = -75
So x = -75 plugged into the function leads to y = 0
Meaning that x = -75 and y = 0 pair up together to get the point (-75,0) which is the x intercept. This is the location where the line crosses the x axis.
Answer:
(p+2)(p-2)(p²+4)
Step-by-step explanation:
The binomial p⁴-16 is a difference of squares. This is because p⁴ is a perfect square, as is 16. This means we can write it as the sum of the square roots multiplied by the difference of the square roots:
(p²+4)(p²-4)
The first binomial, p²+4, cannot be factored any further.
The second binomial, p²-4, is another difference of squares, since p² is a perfect square, as is 4:
(p+2)(p-2)
This gives us
(p²+4)(p+2)(p-2)