If you have a rectangle that is 2 by 2 and you dilate it by 2, the sides are now 4 x 4. So:
If you dilate it by a factor of 2, the area is 2^2 (4) times as great
A factor of 3 would have an area of 9 times as much.
Conclusion: square the scale factor to get how much greater the area would be.
Lets factor this quadratic function
the factors are (tan x + cos x)(tan x + cos x)
So the answer is choice A.
Answer:
-3x - 18
Step-by-step explanation:
Use the distributive property.
-3(x + 6) = (-3)(x) + (-3)(6) = -3x - 18
1.
18.98 per 1000
320,000 / 1000 = 320
18.98 x 320 = $6073.60
2. smoker: 9.36 * 100 = 936
non smoker: 7.85 * 100 = 785
936 - 785 = $151
We have by the intermediate value theorem that if a continuous function takes values both above and below zero at 2 points, there is a zero of the function in-between. We have that polynomials are continues. Let's calculate f(-6) and f(-5). f(-6)=-36 while f(-5)=-1. Thus, we cannot conclude that there is a root between them.
F(-2)=8, f(-1)=-1, so there is a flip; a zero must exist between them.
F(1)=-1, f(2)=20, so again there is a change of signs.
f(-5)=-1, f(-4)=14 so there is a root still.
We have that the only choice that does not have a root between the integers is choice a.
