Answer:
8x + 2y = 7
2y = -8x + 7
y = -4x + 7/2; this line has slope equal -4
Parallel lines, slope is the same so slope of parallel line is also -4
A. y − 1 = 4(x + 8); slope m = 4....FALSE
B. y = −4x + 15; slope m = - 4....TRUE
C. 16x + 4y = 9; 4y = -16x + 9 so y = -4x + 9/4; slope m = - 4....TRUE
D. y = −4x; slope m = - 4....TRUE
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
It would be equalto 2.4 * 10^6
Answer:
(c) H0 should be rejected
Step-by-step explanation:
Null hypothesis (H0): population mean is equal to 5
Alternate hypothesis (Ha): population mean is greater than 5
Z = (sample mean - population mean) ÷ (sd/√n)
sample mean = 5.3, population mean = 5, sd = 1, n = 500
Z = (5.3 - 5) ÷ (1/√500) = 0.3 ÷ 0.045 = 6.67
Using the normal distribution table, for a one tailed test at 0.01 significance level, the critical value is 2.326
Conclusion:
Since 6.67 is greater than 2.326, reject the null hypothesis (H0)
Answer:
Step-by-step explanation:
Given
Required
Get equivalent expression using completing the square
<em>Follow these steps:</em>
- <em>Take the coefficient of y; That is -12</em>
- <em>Divide it by 2; That is (-12/2)</em>
- <em>Square it: (-12/2)^2</em>
<em />
Add to both sides of the equation
Expand the right-hand side
Factorize:
