I’m confused as to what the question is? if knew the question i could potentially help.
Your answer is x = 3.
-3(x + 5) = 6 - 3(2x + 4)
-3x - 15 = 6 -6x - 12
-3x - 15 = -6 - 6x
-3x + 6x = -6 + 15
3x = -6 + 15
3x = 9
x = 3
ANSWER: 2484
(Alternative forms): 2.484 × 10³
Answer:
Number of 12$ Shares? 25
Number of 14$ Shares? 57
Step-by-step explanation:
Let x = number of $12 shares.
Let y = number of $14 shares.
"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098
The number of $14 shares is seven more than twice the number of $12 shares.
y = 2x + 7
We have a system of equations.
12x + 14y = 1098
y = 2x + 7
We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.
12x + 14(2x + 7) = 1098
12x + 28x + 98 = 1098
40x = 1000
x = 25
There are 25 $12 shares.
y = 2x + 7 = 2(25) + 7 = 57
There are 57 $14 shares.
Check:
25 × $12 + 57 × $1`4 = $300 + $798 = $1098
The total value is correct, so the answer is correct.
Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12
After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3
The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25
Answer: The scale factor is 0.25