Answer:
x=2, y=-4
Step-by-step explanation:
Answer:
1. Subtract 18 from both sides to get the equation set to 0:
x2 + 7x - 18 = 0
Now factor. Given the negative sign in front of the 18, you will have (x + ) (x - ) as your factors, with the larger one being positive. Now, which factors of 18 can be combined to get a result of 7? I'll leave that for you.
2- 2.3 Solve : p-7 = 0
Add 7 to both sides of the equation :
p = 7
3-Final result :
(m - 1) • (m - 8)
4-Step by step solution :
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring x2-16x+63
The first term is, x2 its coefficient is 1 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is +63
Step-1 : Multiply the coefficient of the first term by the constant 1 • 63 = 63
Step-2 : Find two factors of 63 whose sum equals the coefficient of the middle term, which is -16 .
-63 + -1 = -64
-21 + -3 = -24
-9 + -7 = -16 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -7
x2 - 9x - 7x - 63
Answer:
120
Step-by-step explanation:
The LCM of 24 and 30 is 120. To find the least common multiple (LCM) of 24 and 30, we need to find the multiples of 24 and 30 (multiples of 24 = 24, 48, 72, 96 . . . 120; multiples of 30 = 30, 60, 90, 120) and choose the smallest multiple that is exactly divisible by 24 and 30, i.e., 120.
Answer: proportionate
Step-by-step explanation:
Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.
Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.
