What is the y-intercept of function f?

Answer:

Step-by-step explanation:

let the age of mother be x

according to the question ,

x+x-23=35

2x=35+23

x=58/2

x=29

since daughter is 23 years younger than mother

daughter age=29-23

=6

therefore the age of mother is 29 and daughter is 6 years

number 7 is as follows Answer: C18.9

Step-by-step explanation:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. so  (5.65x2)+(3.8x2)=18.9 cm

Answer:

2 is F. 768 because all you have to do is mulltiply base times height oh and 7 is C

Step-by-step explanation:

Answer:

90°+90°+64°+x=360°{sum of angle of quadrilateral is 360°}

244°+x=360°

x=360°-244

x=116°

hope it helps.

Answer:

x=9 since 2x9=18 and 18-8=10

Answer:

9 + 35x = 310

Step-by-step explanation:

Answer:

7 Glasses

Step-by-step explanation:

One glass of orange juice needs 1/7 of a bag, she brought 7 bags which all adds up to a full 7 glasses

Answer:

7

Step-by-step explanation:

if it takes 1/7 of a bag to make a glass and there are 7 oranges in a bag you can assume you can make 7 glasses

Answer:

50

Step-by-step explanation:

Add up all the numbers

Answer:

The correct answer is 2100.

(60% of 3,500 = 2,100)

Step-by-step explanation:

Answer:

The distance between the two points is [tex]\sqrt 53[/tex]

Step-by-step explanation:

First you find the distance between the x values which is 2 units and then you find the distance between the two y values which is 7 units. Then you use the pythagorean theorem to find the distance between the two points. Since the distance between the x values is 2 and the distance between the y values is 7 then you do 2²+7² and you get the square root of 53 since the pythagorean theorem equation is a²+b²=c².

Answer: 504

Step-by-step explanation:

Area: 4 triangles + square

Triangle area = 1/2 x b x h

Square = side x side

4(1/2 x 12x 15) + 12x12

= 504

Answer:

135 - 25 = 110

Step-by-step explanation:

Answer:

m∠ABC = 110°

Step-by-step explanation:

There is an exterior angle given, at about point C. This can be utilized to find the interior angle, as they form a linear pair and ergo are supplementary. So,

180° - 135° = 45°

∠C = 45°

Now, you know that a triangle contains 180°. So, use ∠A + ∠B + ∠C = 180° to find the missing angle.

25° + ∠B + 45° = 180°

70° + ∠B = 180°

∠B = 110°

∠B in this case can also be written as ∠ABC.

Answer:

Below is the solution to the given points:

Step-by-step explanation:

Please find the complete question in the attached file.

For point a:

[tex]H_0 : p \geq 0.90[/tex]

For point b:

[tex]z=\frac{\frac{x}{n}-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{\frac{215}{250}-0.90}{\sqrt{\frac{0.9 \times 0.10 }{250}}}= -2.11\\\\[/tex]

For point c:

[tex]Z_{critical} =z_{\alpha}=-1.28[/tex]

since the test statistics [tex]< Z_{critical}\\\\[/tex]

Reject [tex]H_o[/tex]

For point d:

[tex]P(|z \leq -2.11|)=0.0174[/tex]

Answer:

C

Step-by-step explanation:

because The graph of which quadratic function has roots of 7 and 3 and passes through (2, 10), so therefore its C

The equation f(x) = 2x² -20x +42 and the function has minimum at x=5 which is f(5) = -8 option (C) is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

Part A)

The quadratic function has roots of 7 and 3

f(x) = (x - 7)(x - 3)

f(x) = x² -3x -7x +21

f(x) = x² -10x +21

Multiply by:

f(x) = 2x² -20x +42

Plug (2, 10)

10 = 8 - 40 +42 = 10

Part B) From the graph, the function has minimum at x = 5

f(5) = -8

Thus, the equation f(x) = 2x² -20x +42 and the function has minimum at x=5 which is f(5) = -8

Learn more about quadratic equations here:

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Answer:

[tex] \displaystyle \frac{1}{12} \ln( |{4x}^{ 3} + 9|) + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following indefinite integral:

[tex] \displaystyle \int \frac{ {x}^{2} }{4 {x}^{3} + 9} dx[/tex]

in order to integrate it we can consider using u-substitution also known as the reverse chain rule and integration by substitution as well

we know that we can use u-substitution if the integral is in the following form

[tex] \displaystyle \int f(g(x))g'(x)dx[/tex]

since our Integral is very close to the form we can use it

let our u and du be 4x³+9 and 12x²dx so that we can transform the Integral

as we don't have 12x² we need a little bit rearrangement

multiply both Integral and integrand by 1/12 and 12:

[tex] \displaystyle \frac{1}{12} \int \frac{ 12{x}^{2} }{4 {x}^{3} + 9} dx[/tex]

apply substitution:

[tex] \displaystyle \frac{1}{12} \int \frac{ 1}{u} du[/tex]

recall Integration rule:

[tex] \displaystyle \frac{1}{12} \ln(|u|) [/tex]

back-substitute:

[tex] \displaystyle \frac{1}{12} \ln( |{4x}^{ 3} + 9|) [/tex]

finally we of course have to add constant of integration:

[tex] \displaystyle \frac{1}{12} \ln( |{4x}^{ 3} + 9|) + \rm C[/tex]

and we are done!

Answer:

63

Step-by-step explanation:

smallest is 38

biggest is 63

Answer:

The Table Answer are

-2=-1

-1=3

0=7

1=11

2=15

Second Table is

-3=-5

-1=3

1=11

3=19

5=27

Step-by-step explanation:

I did the math

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

64  - 16 = 48

49 = 16 x 3

Answer:

Start A-E-I-J-F-K-G-C-H-Escape

Step-by-step explanation:

Start A-E-I-J-F-K-G-C-H-Escape

Answer:

Step-by-step explanation:

Problem 1

g(-23) = 3

g(0) = 5

2 = g(10)

1 = g(34)

Problem 2

No, because g(x) = f(-x).  For g(x) to inverse of f(x), g(f(x)) = x

Problem 3

tan(50) = 1.19

Height of statue = 250*1.19 - 150

= 147.9 ft

Problem 4

cosθ = 9/12

θ = 41.41 deg.

Answer:

Step-by-step explanation:

g(x) is inverse of f(x)

so g(f(x))=x

g(-23)=3

g(0)=5

g(10)=2

g((34)=1

no, it is an inverse

4 inverse fn, g(r(x))=x

but here g(x)=r(-x)

so g(r(x))=r(-r(x)) n NOT =x

pedestal + statue = 250*tan(50degree) = 297.94

statue ht = 297.94-150 = 147.94 ft

cos(theta) = 9/12

theta = 41.41 deg.

Answer:

7. D. Obtuse

8. D. 5

9. C. 117°

Step-by-step explanation:

Step 1: Define.

-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Step 2: Solve.

7. The angle presented is an obtuse angle because it is more than 90°, but less than 180°.

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Step 2 continued: Solve.

8. 140° and 8x° are supplementary angles; this means both angles have a sum of 180°.

[tex]140 + 8x = 180[/tex]

The first step to finding 'x' is to subtract 140 from 140 and 180.

[tex]140 - 140 = 0[/tex] (cancels itself out)

[tex]180 - 140 = 40.[/tex]

Now we are left with:

[tex]8x=40.\\[/tex]

The last step to solving this is dividing 40 by by the coefficient.

[tex]40/8=5[/tex]

[tex]x=5.[/tex]

------------------------------------------------------------------------------------------------------------

Step 2 continued: Solve.

9. As I mentioned before, supplementary angles are two angles that have a sum of 180°.

If angle 1 is 63, then angle 2 is..

[tex]180 - 63 = 117[/tex]

Angle 2 is 117°.

Here is an attachment to make number 8 easier to understand.

Answer:

400 - 2 (24 months) = $352

Step-by-step explanation:

The balance in Maas account after two years will be $352.

Mass has a bank account with less than $ 400 in it. He pays charges of $ 2 per month if account has less balance than $500.

We have to find out that if he doesn't deposit or withdraws any amount , what will be balance of his account after 2 years ?

What will be the value if 2 times of 400 is added to 2 times of 400 ?

The value will be 1600.

We know that no. of months in 1 year = 12 months

No. of months in 2 years = 24 months

As , bank charges $2 per month if the balance is less than $500.

⇒ for 24 months the charges will be ;

    = 24 × 2 = $48

The balance in Maas account after 2 years will be

  $ 400 - $ 48 = $ 352.

Thus, the balance in Maas account after two years will be $352.

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Answer:

Total amount Omar earn = $120

Step-by-step explanation:

Given:

Total amount Omar, Hala and Lujain got paid = $240

Ratio of money Omar, Hala and Lujain got paid = 5:9:10

Find:

Total amount Omar earn

Computation:

Total amount Omar earn = [Total amount Omar, Hala and Lujain got paid][Omar'ratio / Total ratio]

Total amount Omar earn = [240][5 / (5+9+10)]

Total amount Omar earn = [240][5 / (24)]

Total amount Omar earn = [24][5]

Total amount Omar earn = $120

Answer:

1 10/17

Step-by-step explanation:

make 45 a fraction by putting a denominator of 1

3/85 * 45/1

3*45 = 135

85*1 = 85

Simplify 135/85 = 1 10/17

Answer:

ŷ = -0.47876X + 11.17724

$6.4

Step-by-step explanation:

Given the data :

Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)

1 9 8.1 7 8 7.6

2 7 6 8 11 8

3 11 3.6 9 10 8

4 12 4 10 12 6

5 8 5 11 6 8.6

6 7 10 12 6 8

The estimated regression equation using a linear regression calculator is :

y = -0.47876X + 11.17724

With - 0.47876 being the slope ; and 11.17724 being the intercept

y = predicted variable (price of car) ; x = predictor variable (Age of car)

Selling price of a 10 year old car : x = 10

ŷ = -0.47876(10) + 11.17724

Price = 6.38964

About 6.4(000) dollars ($6,400)

According to the regression equation : The starting price of cars is about $11.18 (intercept) with the proved of cars declining by a value of $0.479(negative slope value) each year.

Answer:

The missing value in shirts is 28, and the missing value in jackets is 14.

Step-by-step explanation:

Answer:

D) $0.15/hr

Step-by-step explanation:

Divide 1.5 by 10 and you get 0.15, check your work by dividing 3 by 20=0.15, you divide the numbers in which are a line, for example look at the cost 3 and hours used 20, (if that makes sense)

Answer:

volume of hemisphere=2/3πr³

hope it helps.

Answer:

Step-by-step explanation:

sin(110°) / AC  = sin(40°) / 12

now use algebra skillz to solve for AC

12*sin(110°) / sin(40°) = AC

17.5 =AC