Answer:
2.4m+1.8b−32.6
Step-by-step explanation:
Group like terms together
1. 2.4 m + \left( - 125 + 92.4 \right) + 1.8 b2.4m+(−125+92.4)+1.8b
2
. Add or subtract the numbers
2.4 m- 32.6 + 1.8 b2.4m−32.6+1.8b
3
. Rearrange the expression
2.4 m + 1.8 b- 32.62.4m+1.8b−32.6
2.30 + 0.40(x - 1) < = 5.10
2.30 + 0.40x - 0.40 < = 5.10
1.90 + 0.40x < = 5.10
0.40x < = 5.10 - 1.90
0.40x < = 3.20
x < = 3.20 / 0.40
x < = 8 <=== 8 pages, at the most, can be faxed
Answer:
y = 1/9 x z^3
Step-by-step explanation:
y is jointly proportional to x and z^3
y = k * x * z^3 where k is the constant of proportionality
y =12, x = 4 and z =3
12 = k * 4 * 3^3
12 = k * 4 * 27
12 = k * 108
12/108 = k
1/9 = k
y = 1/9 x z^3
Multiply base times height and your answer should be without decimals it would be 1,056 with decimals it would be 1.56. Hope this helps!
Answer: y = (x +2)² + 5
<u>Step-by-step explanation:</u>
y = a(x - h)² + k <em>where "a" is the leading coefficient and (h, k) is the vertex</em>
Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a": (x, y) = (0, 9) and (h, k) = (-2, 5)
y = a(x - h)² + k
9 = a(0 - (-2))² + 5
9 = a(0 + 2)² + 5
9 = a(2)² + 5
<u>-5 </u> <u> -5 </u>
4 = a(4)
<u>÷4 </u> <u> ÷4 </u>
1 = a
Next, plug in "a" and the vertex (h, k):
y = a(x - h)² + k
y = 1(x +2)² + 5
y = (x +2)² + 5
