Ask question

Ask question

All categories

PilotLPTM [1.2K]

2 years ago

13

The given bar graph shows the percentage of U.S. women in the labor force from 1960 through 2010. The function f left parenthesi

s x right parenthesis equals 3.5 square root of x plus 38 models the percentage of U.S. women in the labor force, f left parenthesis x right parenthesis , x years after 1960. Use this formula to solve the following questions.
US women in Labor Force

According to the model, when will 70% of the U.S. women participate in the work force? Show all work and explain your answer in the context of the problem.

1 answer:

ipn [44]2 years ago

3 0

Answer:

Half of year 2043

Step-by-step explanation:

The function is: f(x) = 3.5√x + 38

where f(x) represents the percentage of U.S. women in the labor force x years after 1960.

Replacing f(x) = 70 and isolating x, we get:

70 = 3.5√x + 38

3.5√x = 70 - 38

√x = 32/3.5

x = 9.14²

x = 83.5

This means, in year 1960 + 83.5 = 2043.5, that is, at half of year 2043

You might be interested in

For a class trip, 114 students are put on for buses. At this rate, how many students would be on eight buses?

balu736 [363]

The answer is 228 students

7 0

2 years ago

Read 2 more answers

anton needs to buy 3.5 meters of cloth for their project in TLE. If 1 meter of cloth costs P35.00 how much will he spend for 3.5

ElenaW [278]

Answer:

122.5

Step-by-step explanation:

3 0

2 years ago

Find 3 consecutive odd integers whose sum is 225, explain please

aleksklad [387]

3 odd integers have a property that they average up to the middle large one. Let's say we have 3, 5, and 7. 3 is 2 less than 5 and 7 is 2 more than 5. so when you add them it equals 2 times 5.
After we know that, the sum of 3 odd integers is just 3 times the middle number. ex. 3+5+7 = 3 times 5 = 15
Then we know the some number times three = 225. we find out that the middle number is 75, so the other two are 73 and 77

5 0

3 years ago

Y=-x^2+2x+10<br> y=x+2<br><br> Substitution <br> Please show your work<br> Need ASAP

erik [133]

Answer:

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

Step-by-step explanation:

we have

$y=-x^{2} +2x+10$ ----> equation A

$y=x+2$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$x+2=-x^{2} +2x+10$

solve for x

$-x^{2} +2x+10-x-2=0$

$-x^{2} +x+8=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2} +x+8=0$

so

$a=-1\\b=1\\c=8$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}$

$x=\frac{-1\pm\sqrt{33}} {-2}$

$x=\frac{-1+\sqrt{33}} {-2}$ -----> $x=\frac{1-\sqrt{33}} {2}$

$x=\frac{-1-\sqrt{33}} {-2}$ -----> $x=\frac{1+\sqrt{33}} {2}$

<em>Find the values of y</em>

For $x=\frac{1-\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1-\sqrt{33}} {2}+2$ ----> $y=\frac{5-\sqrt{33}} {2}$

For $x=\frac{1+\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1+\sqrt{33}} {2}+2$ ----> $y=\frac{5+\sqrt{33}} {2}$

therefore

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

5 0

2 years ago

The image of (2, -1) under the transformation T -5, 3 is _____.

LiRa [457]

Answer: probably (b) because negative x positive or plus equals negative

\

Step-by-step explanation:

3 0

2 years ago