Answer: Solving for f. Want to solve for x instead?
1 Remove parentheses.
f\times -2fx=3{x}^{2}-8x+7f×−2fx=3x
2
−8x+7
2 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
-{f}^{2}\times 2x=3{x}^{2}-8x+7−f
2
×2x=3x
2
−8x+7
3 Regroup terms.
-2{f}^{2}x=3{x}^{2}-8x+7−2f
2
x=3x
2
−8x+7
4 Divide both sides by -2−2.
{f}^{2}x=-\frac{3{x}^{2}-8x+7}{2}f
2
x=−
2
3x
2
−8x+7
5 Divide both sides by xx.
{f}^{2}=-\frac{\frac{3{x}^{2}-8x+7}{2}}{x}f
2
=−
x
2
3x
2
−8x+7
6 Simplify \frac{\frac{3{x}^{2}-8x+7}{2}}{x}
x
2
3x
2
−8x+7
to \frac{3{x}^{2}-8x+7}{2x}
2x
3x
2
−8x+7
.
{f}^{2}=-\frac{3{x}^{2}-8x+7}{2x}f
2
=−
2x
3x
2
−8x+7
7 Take the square root of both sides.
f=\pm \sqrt{-\frac{3{x}^{2}-8x+7}{2x}}f=±√
−
2x
3x
2
−8x+7
8 Simplify \sqrt{-\frac{3{x}^{2}-8x+7}{2x}}√
−
2x
3x
2
−8x+7
to \sqrt{\frac{3{x}^{2}-8x+7}{2x}}\imath√
2x
3x
2
−8x+7
ı.
f=\pm \sqrt{\frac{3{x}^{2}-8x+7}{2x}}\imathf=±√
2x
3x
2
−8x+7
ı
9 Regroup terms.
f=\pm \imath \sqrt{\frac{3{x}^{2}-8x+7}{2x}}f=±ı√
2x
3x
2
−8x+7
Done- :)
f=±ı√ 2x 3x 2 −8x+7
Step-by-step explanation
<h3>
Answer: Choice D. 12,600 feet</h3>
============================================================
Explanation:
We have two similar triangles here, so we can set up the proportion below to solve for x
5200/(5200+6500) = 5600/x
5200/11700 = 5600/x
5200x = 11700*5600 .... cross multiply
5200x = 65,520,000
x = (65,520,000)/(5200)
x = 12,600 which shows why the answer is choice D
side note: 12,600 ft = 2.386 miles approximately
Answer:
Required inequality is 
.
Step-by-step explanation:
Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.
Calculation is given by:
Salary per year = $4,800
Average price of a policy = $6,100.
commission on her sales = 3%
Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183
Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x
then total commission on x policies = 183x
Total income using x policies = 4800+183x
Since she wants to make an annual income of at least $8,000. so we can write inequality as:
Hence required inequality is .
Answer:
y = 5 - 3x
Step-by-step explanation:
3x + y = 5 ( subtract 3x from both sides )
y = 5 - 3x
Answer:
0.636
Step-by-step explanation:
First off, we'll interpret the fraction bar to mean "divided by." This means that 7/11 is the same as 7 divided by 11.
Second, you have requested to see 2 decimal places in your answer, so we'll write the 7 as 7.00 instead (a 7 with 2 zeros after the decimal point).
Now, we'll just do what the fraction bar says: divide 7.00 by 11:
And that's about it! 7/11 written as a decimal to 3 decimal places is 0.636.
