Answer:
slope = 35; y-intercept = -45
Step-by-step explanation:
Function f(x) is written in the slope-intercept form, y = mx + b.
f(x) = -7x + 9
You compare it with
f(x) = mx + b, and you see that m, the slope, is -7, and b, the y-intercept is 9.
Now we deal with function h(x).
h(x) = -5(-7x + 9)
This is not written in the y = mx + b form, but we can put it in that form by distributing the -5.
h(x) = 35x - 45
Now, h(x) is written in the y = mx + b form. We see clearly that m = 35, so the slope of function h is 35. We also see that b, the y-intercept is -45.
Answer: slope = 35; y-intercept = -45
Answer:
-3 1/2 > -4.5
Step-by-step explanation:
1.5 > 2 1/2 False
1/2 > 0.5 False
-2.5 > -1.5 False
-3 1/2 > -4.5 True
1.5 > 2 1/2
1/2 = 0.5
2 + 0.5 = 2.5
1.5 is not > 2.5
1.5 < 2.5
1/2 > 0.5
1/2 = 0.5
0.5 is not > 0.5
0.5 = 0.5
-2.5 > -1.5
Negative numbers are oposite of positive numbers when using inequalities. Just as 0 < 1, -1 < 0.
-2.5 is not > -1.5
-2.5 < -1.5
-3 1/2 > -4.5
1/2 = 0.5
3 + 0.5 = 3.5
-3.5 > -4.5
- Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.
(Make sure to set f(x) to zero)
So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 
Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 
Now you can rewrite the equation as: 
Now apply zero product property to the factors to solve for x:

<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>
Answer:
angles 3 and 4 both equal a 90 degree angle or bisect a 90 degree angle.
angle 5 is 44-degrees because it is complementary or vertical to the 44 degree angle.
x=32 because it is on the same line as the 44-degree angle and a line is 180 so 180-44=136 and to get the rest of x you would do the equation backwards so 136 divided by 4 is 34 and 36-2=32
angle a is 136 described above.
angle b, because it is on the same line as the 46 degree angle is 180-46=134
now im pooped :(