Point slope formula is y-y1=m(x-x1)
The slope is -3. So you just plug in what you know which is the (x1,y1). So the point slope form is y+1=-3(x-4).
The slope intercept form is y=mx+b. So you plug in the m,x, and y to solve for b. B is 11. So the slope intercept form is y=-3x+11.
Answer:
y=-x +7 is the slope-intercept form and the graph is shown in the attachment.
Step-by-step explanation:
The given equation is

We solve for y to get:

This is now of the form, y=mx+c
This is called the slope-intercept form.
Since the slope is negative, the graph slopes backwards. Also the y-intercept is 7, so the graph will intersect the y-axis at 7
Answer:
41
Step-by-step explanation:
=(-24)-(-65)
= -24 + 65
= 65-24
= 41
Answer:
There are 2450 ways.
Step-by-step explanation:
We can pick first the 4 man, and then the 4 women. The configuration of men and women are independant with each other, so the total of possibilities is obtained by multiplying the total possibilities to pick 4 men and the total possibilities of picking 4 women.
To pick 4 men from a group of 8, the total number of possibilities is the amount of ways to pick 4 elements from a group of 8. This number is represented by the combinatorial number of 8 with 4

To pick 4 women from a group of 7, we need to count the total amount of ways to pick 4 elements from a group of 7. This is the combinatorial number of 8 with 7

Hence, the total amount of ways to pick 4 men and 4 women from a group of 8 men and 7 women is 70*35 = 2450.
Answer: 30x⁴
Step-by-step explanation:
2x⁴ + (-3x²)² + 10(x²)² + (-3x²)²
2x⁴ + (9x⁴) + 10 (x⁴) + (9x⁴)
2x⁴ + 9x⁴ + 10x⁴ + 9x⁴
2x⁴ + 10x⁴ 9x⁴ + 9x⁴
12x⁴ + 18x⁴
30x⁴
(-x)² = x²
(xᵃ)ᵇ = xᵃᵇ
Hope I helped!