Answer:
x = 16
Step-by-step explanation:
3(x+2)-x=38
Distribute
3x+6 -x = 38
Combine like terms
2x+6 = 38
Subtract 6 from each side
2x+6-6 = 38-6
2x = 32
Divide each side by 2
2x/2 = 32/2
x = 16
Answer: |5x+1|-7
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
First, find the total number of vehicles sold.
15 SUVs were sold, and 80 others were sold
15+80
95
So, 95 vehicles were sold in total.
Now we can make a proportion
15 out of 95 vehicles were SUVs, and we can expect x out of 76 vehicles to be SUVs
15/95=x/76
Cross multiply
95*x=15*76
95x=1140
To solve for x, we need to get x by itself. Since x is being multiplied by 95, divide both sides by 95. This will cancel out the 95, and leave x isolated.
95x/95=1140/95
x=12
So, 12 out 76 vehicles should be SUVs
F(x) = a(x-h)²<span> + k
</span><span><u>Given that the vertex is (-3 -6):</u>
</span>f(x) = a(x + 3)² -6
<span>
<u>Given that it passes through (0.0), find a:</u>
a(0 + 3)</span>² - 6 = 0
<span>
9a - 6 = 0
9a = 6
a = 6/9 =2/3
<u>So the equation is :</u>
</span>f(x) = 2/3(x + 3)² -6
<span>
<u>Write the equation in standard form:</u>
</span>f(x) = 2/3(x² + 6x + 9) - 6
f(x) = 2/3x² + 4x + 6 - 6
f(x) = 2/3x² + 4x
<span>
Answer: </span>f(x) = 2/3x² + 4x<span>
</span>
