Answer:
Step-by-step explanation:
Point-slope form: 
where a given point is 
and the slope is 
<u>1) Find the slope of the line (m)</u>
Slope = 
where the given points are and 
Plug in the points (-7,1) and (-3,9)
Therefore, the slope of the line is 2. Plug 2 into the equation as m:
<u>2) Plug one of the given points into the equation</u>
We plan either plug in (-7,1) or (-3,9) and it would work either way. Below you can see the equation plugging in the point (-7,1):
I hope this helps!
Answer:
Step-by-step explanation:
Use synthetic division to answer this. If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.
We use -7 as the divisor in synth. div. This comes from the factor (x + 7):
-7 / 1 3 2 -8
-7 28 -210
-------------------------
1 -4 30 -218
Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.
Answer:
7) 7<x<17
8 2.1<x<4.1
9) 0<x<54
10) 7.9<x<35.9
Step-by-step explanation:
you solve by finding the smallest side lengrh which will be the longer length- the shorter, as if the triangle were extremely tiny and all the sides were touching but the third would only be able to be as short as the difference, then for the maximum length as if the triangle were stretches out as much as possible, you add together the lengths because that's the furthest the third could stretch out, remember they will always be less then or greater then, never equal too as well, they can't reach that length other wise it would just be a line
The answer should be D because whenever x is bigger than 5 then the left side would be bigger than 2.
