Answer:
(- 1, 5 )
Step-by-step explanation:
Using the method of substitution.
Given the 2 equations
3x + 2y = 7 → (1)
x - 4y = - 21 → (2)
Rearrange (2) expressing x in terms of y by adding 4y to both sides.
x = 4y - 21 → (3)
Substitute x = 4y - 21 into (1)
3(4y - 21) + 2y = 7 ← distribute and simplify left side
12y - 63 + 2y = 7
14y - 63 = 7 ( add 63 to both sides )
14y = 70 ( divide both sides by 14 )
y = 5
Substitute y = 5 into (3)
x = (4 × 5) - 21 = 20 - 21 = - 1
Solution is (- 1, 5 )
6²/2(3) +4
6²=36
2(3)=6
So now we have
36/6 + 4 which is 6 + 4 which is 10.
Answer:
A
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 
( multiply both sides by x³ )
x³y = 19 ( divide both sides by y )
x³ = 
( take the cube root of both sides )
x = ![\sqrt[3]{\frac{19}{y} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B19%7D%7By%7D%20%7D)
Change y back into terms of x, then
(x) = ![\sqrt[3]{\frac{19}{x} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B19%7D%7Bx%7D%20%7D)
= ![\frac{\sqrt[3]{19} }{\sqrt[3]{x} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B19%7D%20%7D%7B%5Csqrt%5B3%5D%7Bx%7D%20%7D)
→ A
Answer:
Step-by-step explanation:
a1 = 7
a2 = 4(7) = 28
a3 = 4(28) = 112
a4 = 4(112) = 448
a5 = 4(448) = 1792
a6 = 4(1792) = 7168
Answer:
Step-by-step explanation:
Set ratios and solve for x
<u>Corresponding sides are AC with A'C' and CB with C'B'</u>
- AC/A'C' = CB/C'B'
- (x - 1)/2 = (x + 4)/3
- 3(x - 1) = 2(x + 4)
- 3x - 3 = 2x + 8
- 3x - 2x = 8 + 3
- x = 11
<u>Find the values of AC and CB:</u>
- AC = x - 1 = 11 - 1 = 10 cm
- CB = x + 4 = 11 + 4 = 15 cm
