Step-by-step explanation:
7a
x2 + 4x + ax + 4a
x2 + ax + 4x + 4a
x (x + a) + 4 (x + a)
:(x + 4)(x+a)
7d
x2+2x-ax-2a
x2-ax+2x-2a
x (x-a)+2 (x-a)
:(x+2)(x-a)
7h
x2-2bx-5x+10b
x2-5x-2bx+10b
x (x-5)-2b(x-5)
:(x-2b)(x-5)
Answer:
y = 0.5x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 1, y = 0.5, then
k =
=
= 0.5, hence
y = 0.5x ← equation of variation
Answer:
$2,341.27.
Step-by-step explanation:
Let x represent realized income for month.
It has been given that your housing and fixed expenses are 702.38 month. We are asked to find your realized income for the month if your fixed expenses are account for 30%.
This means that 30% of x is equal to $702.38. We can represent this information in an equation as:
![30\%\text{ of }x=\$702.38](https://tex.z-dn.net/?f=30%5C%25%5Ctext%7B%20of%20%7Dx%3D%5C%24702.38)
![\frac{30}{100}*x=\$702.38](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B100%7D%2Ax%3D%5C%24702.38)
![0.30x=\$702.38](https://tex.z-dn.net/?f=0.30x%3D%5C%24702.38)
![\frac{0.30x}{0.30}=\frac{\$702.38}{0.30}](https://tex.z-dn.net/?f=%5Cfrac%7B0.30x%7D%7B0.30%7D%3D%5Cfrac%7B%5C%24702.38%7D%7B0.30%7D)
![x=\$2,341.2666](https://tex.z-dn.net/?f=x%3D%5C%242%2C341.2666)
![x\approx \$2,341.27](https://tex.z-dn.net/?f=x%5Capprox%20%5C%242%2C341.27)
Therefore, your realized income for the month would be approximately $2,341.27.
When converted to a household measurement, 9 kilograms is approximately equal to a
Answer:
r = 4
Step-by-step explanation:
Volume of a cone:
V = πr²(h/3)
Given:
V = 100.48
h = 6
π = 3.14
Work:
V = πr²(h/3)
100.48 = r²(3.14)(6/3)
100.48 = r²(3.14)(2)
100.48 = r²6.28
r² = 100.48/6.28
r² = 16
![\sqrt{r^2} =\sqrt{16}](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%7D%20%3D%5Csqrt%7B16%7D)
r = 4