1. This must be greater than or equal to 0 (there can't be any negatives!)
8 - .5t ≥ 0.
8 ≥ .5t
t ≤ 16
D.
2. 4(2x-1) = 2x + 35
8x - 4 = 2x + 35
6x = 39
x = 6.5
H.
3. c = .8(x-15) = .8x-12
A.
4. m = number of marble cupcakes
s = number of strawberry shortcake cupcakes
6m + 8.5s = 391
m = 1/2s
6(.5s)+8.5s = 391
11.5s = 391
s = 34
m = 17
F.
5. B
6. Use substitution
2x + 3x = 10
5x = 10
x = 2
7. (sorry I'm not sure!)
8. G
9. L = number of balls
B = number of bats
L + B = 100
B = 100 - L
4.5L+20B = 822
4.5L + 20(100-L) = 822
4.5L -20L + 2000 = 822
1178 = 15.5L
L = 76
10. J
Answer:
a). 8(x + a)
b). 8(h + 2x)
Step-by-step explanation:
a). Given function is, f(x) = 8x²
For x = a,
f(a) = 8a²
Now substitute these values in the expression,
= 
= 
= 
= 8(x + a)
b). 
= 
= 
= 
= (8h + 16x)
= 8(h + 2x)
<em>24p² + pq - 23q² = </em>
<em>= 24p² + 24pq - 23pq - 23q²</em>
<em>= 24p(p + q) - 23q(p + q)</em>
<em>= (p + q)(24p - 23q)</em>
<em />
<em />
1) m - 7 < 6
Add 7 to the both sides,
m - 7 + 7 < 6 + 7
m < 13
So, Option C is your answer for this part.
2) x+4.5 ≥ 5.5
Subtract 4.5 from both sides,
x ≥ 1
So, Option B is your answer for this part.
3) p +12 > 9
Subtract 12 from the both sides,
p > -3
So, Option D is your answer for this part.
4) x - 5 ≥ 9
So, Option A is your answer for this part
Hope this helps!
Answer:
Factors are: 3x+8 & 4x-1
Step-by-step explanation:
12x² + 29x - 8
12x² + 32x - 3x - 8
4x(3x + 8) -1(3x + 8)
(3x + 8)(4x-1)
