Answer:
z = -4
Step-by-step explanation:
I'm going to assume you mean solve for z.
5z - 8 = -28
add 8 to both sides.
5z = -28 + 8
5z = -20
divide both sides by 5
z = -4
Answer:
0 < t <= 4
Step-by-step explanation:
<h2>
ONLY FLIP THE INEQUALITY SIGN WHEN MULTIPLYING OR DIVIDING BY A NEGATIVE NUMBER</h2>
-2 < 3t - 2 <= 10
-2 + 2 < 3t - 2 + 2 <= 10 + 2
0 < 3t <= 12
0/3 < 3t/3 <= 12/3
0 < t <= 4
<h2>
ONLY FLIP THE INEQUALITY SIGN WHEN MULTIPLYING OR DIVIDING BY A NEGATIVE NUMBER</h2>
Answer:
A. 2⅓ and D.1
Step-by-step explanation:
We are required to select the values of x that makes the inequality x>½ true.
A. 2⅓
B. 0
C.-1½
D. 1
E.-¾
Options C and E are negative numbers and are therefore less than the positive number ½.
Option B(i.e. 0) is also less than ½ or 0.5 and therefore do not satisfy the inequality given.
Options A and D are greater than ½ and therefore satisfies the inequality given.
Answer:
Probability from Urban Area = 
Probability NOT from Rural Area = 
Step-by-step explanation:
Total 178
Urban 110
Suburban 56
Rural 12
Hence, probability of x is number of x divided by total.
So, probability that she is from an urban area = 110/178 = 55/89
And
probability NOT a rural area (means urban and suburban which is 110+56=166) = 166/178 = 83/89
Answer:

Step-by-step explanation:
![y=-x^2-12x-4\\\\y=-(x^2+12x)-4\\\\y=-(\underline{x^2+2\cdot x\cdot6+6^2}-6^2)-4\\\\y=-\left[(x+6)^2-36\right]-4\\\\y=-(x+6)^2+36-4\\\\\bold{\underline{y=-(x+6)^2+32}}](https://tex.z-dn.net/?f=y%3D-x%5E2-12x-4%5C%5C%5C%5Cy%3D-%28x%5E2%2B12x%29-4%5C%5C%5C%5Cy%3D-%28%5Cunderline%7Bx%5E2%2B2%5Ccdot%20x%5Ccdot6%2B6%5E2%7D-6%5E2%29-4%5C%5C%5C%5Cy%3D-%5Cleft%5B%28x%2B6%29%5E2-36%5Cright%5D-4%5C%5C%5C%5Cy%3D-%28x%2B6%29%5E2%2B36-4%5C%5C%5C%5C%5Cbold%7B%5Cunderline%7By%3D-%28x%2B6%29%5E2%2B32%7D%7D)