Answer:
x = - 7
Step-by-step explanation:
Express the diagrams in equation form with output y
A y = 5x - 4
B y = 3x + 8
Equate the right sides so that A is 3 times B
5x - 4 = 3(3x + 8) ← distribute parenthesis
5x - 4 = 9x + 24 ( subtract 9x from both sides )
- 4x - 4 = 24 ( add 4 to both sides )
- 4x = 28 ( divide both sides by - 4 )
x = - 7
As a check
A y = 5(- 7) - 4 = - 35 - 4 = - 39
B y = 3(- 7) + 8 = - 21 + 8 = - 13
then - 13 × 3 = - 39
The required input is x = - 7
<span>25.4
2.54 * 10^-1
...............</span>
Answer: -6 +/- 
= x
<u>Step-by-step explanation:</u>
y = x² + 12x - 5
<u> +5 </u> <u> +5 </u>
y + 5 = x² + 12x
<u> + 36 </u> <u> +36 </u> <em>added (12 ÷ 2)² to both sides</em>
y + 41 = (x + 6)²
To find the zeros, let y = 0:
0 + 41 = (x + 6)²
= x + 6
<u>-6 </u> <u> -6 </u>
-6 +/- = x
Answer:
x = 4 ; y = 8
Step-by-step explanation:
we can use a system of two equation
x+1 = y-3
y-5 = 2x-5
we can find x in the first equation
x = y -4
we can now substitute x with this value in the second equation
y-5 = 2(y-4)-5
y = 2y-8
y = 8
we can now find x
x = 8-4 = 4
verify
2(4)-5 = 3
8-5 = 3
8-3 = 5
4 + 1 = 5
