(A)
Vertex:(0,4)
Focus : (0, -7/2)
Axis of symmetry: x = 0
Directrix : y = - 9/2
(B)
Vertex:(-3,-4)
Focus : (-3,-31/8)
Axis of symmetry: x = -3
Directrix: y = - 33/8
1.)
Old Number:35
New Number:45
Now, subract the new number(45) from the old number. (35)
45-35 is 10. Now divide the old number (35) by 10.
You'll get 3.5. 3.5%, increase is the answer for #1.
2.) Old: s (students)
New: 36,750
Do 100+5 (Addition because we do not know what the old number is.) 100+5 is 105. Move decimal over twice and you get 1.05. Multiply 36,750 by 1.05.
There were 38,587.5 kids last year.
3.)Since the discount is 15% off, do 100-15=85. Now, move the decimal over from the percent, and that makes that .85. Now multiply 50x.85. You get 42.5, or $42.50. Now the coupon is 10%, So subtract 100-10, giving you 90. Now move the decimal over. .90. Multiply 42.5 (or 42.50) by .90. You get 38.25. You do have enough money.
4.) Subtract 100-15, giving you 85. Move decimal over from percent. .85.
Now you would multiply .85 times k. B should be the answer.
Answer:
B) 
Step-by-step explanation:
We want to simplify ![\sqrt[3]{-125n^{12}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-125n%5E%7B12%7D%7D)
![\sqrt[3]{-125n^{12}} = \sqrt[3]{-1 * - 1 * -1 * 5 * 5 * 5 * n^4 * n^4 * n^4} \\\\= \sqrt[3]{(-1)^3 * 5^3 * (n^4)^3}\\\\= -1 * 5 * n^4\\\\= -5n^4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-125n%5E%7B12%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B-1%20%2A%20-%201%20%2A%20-1%20%2A%205%20%2A%205%20%2A%205%20%2A%20n%5E4%20%2A%20n%5E4%20%2A%20n%5E4%7D%20%5C%5C%5C%5C%3D%20%5Csqrt%5B3%5D%7B%28-1%29%5E3%20%2A%205%5E3%20%2A%20%28n%5E4%29%5E3%7D%5C%5C%5C%5C%3D%20-1%20%2A%205%20%2A%20n%5E4%5C%5C%5C%5C%3D%20-5n%5E4)
The answer is
Answer:
No
Step-by-step explanation:
Apply the distributive property to 5(2x - 3y):
Multiply 5 by each term inside the parentheses.
5(2x - 3y) = 10x - 15y
The other expression is 10x - 10y.
The terms 10x in both expressions are equal.
Since the term -15y is not equal to the term -10y, the expressions are not equivalent.
19-(-2)=21
1+15=16
(-6)-(-17)=-11
5-14=-9
just remember when ur subtracting a number from a bigger number, it becomes negative
and two negatives equal a positive
