Answer:
2x − 9 and x + 6
Step-by-step explanation:
2x² + 3x − 54
Factor using the AC method.
2 × -54 = -108
Factors of -108 that add up to 3 are +12 and -9.
Divide by 2 and reduce: 12/2 = 6/1, -9/2 = -9/2.
Therefore, the factors are x + 6 and 2x − 9.
Answer:
L=A÷w
Step-by-step explanation:
take the area and ÷ it by the width and yoj have your length
Step-by-step explanation:
We observe the line graph.
For every 1 block across, the line goes up by 2 blocks. Therefore Slope = Rise/Run = (2)/(1) = 2.
Also, the y-intercept when x = 0 is 2.
Slope-intercept form: y = mx + c
Hence we have y = 2x + 2. (C)
Answer:
x = 45 when y = 20 and z = 6
Step-by-step explanation:
The general formula here is y = kx/z²
If x = 24 and y = 6, z = 8, so:
y = kx/z² becomes 6 = k(24)/8², and:
6 1
k = ---------------- = -------------- = 16
24/64 4/64
Then y = 16x/z², and so, if y = 20 and z = 6 (check this!), then:
20 = 16x/36, or 16x = 720, or x = 45
x = 45 when y = 20 and z = 6
