Answer:
1) x < 1, x > 9
2) 2 < x ≤ 6, -4 ≤ x < 0
Step-by-step explanation:
1) lx - 5l > 4
x - 5 = 4
x = 9
-(x - 5) = 4
x = -4 + 5 = 1
x < 1, x > 9
3) 1 < lx-1l ≤ 5
1 < x-1 ≤ 5
2 < x ≤ 6
1 < -(x-1) ≤ 5
-5 ≤ x-1 < -1
-4 ≤ x < 0
Answer:
9
Step-by-step explanation:
Sean and Greg share a 24-ounce bucket of clay
Sean uses 3/8 of the bucket
= 3/8 ×24
= 9 ounce
Greg uses 1/4 if the bucket
= 1/4 ×24
= 6 ounce
= 9+6
= 15 ounce
Therefore the quantity left in the bucket can be calculated as follows
= 24-15
= 9
Hence 9 ounces are left in the bucket
There is no answer to this question.
Answer:
34
Step-by-step explanation:
We start by working out the slope. The slope is change in y over change in x, so (66-58)/(-56)-(-42) is the slope here. 66-58 is 8, and -56-(-42) is -14. -8/14=-4/7. The equation of a line in slope-intercept form is y=mx+b where b is the y intercept and m is the slope. Since the slope is -4/7, then y=-4/7x+b. We then insert any x and y pair into this equation and solve for b, the y intercept to get it. (We can do ANY pair) So, 50=(-4/7)(-28)+b.
: 50=16+b
: 50-16=b
: 34=b
So, in conclusion, the y intercept is 34. Hope this helps!
2(3x +x)=30
8x = 30
x =3.75 = width
3x = 11.25 = length
