You work for an electric company and make a base pay of $200 every two weeks. You earn and extra $15 for each hour you work. Write a function to model this scenario using f(h) for the amount of money made and h for the hours of worked

Answer:

Step-by-step explanation:

1) 3(x + 2 ) +4  = 31

3*x + 2*3 + 4 = 31

3x + 6 + 4 = 31

  3x + 10   = 31           {Subtract 10 from both sides}

          3x = 31 - 10

         3x = 21        {divide both sides by 3}

          x = 21/3

x = 7

This equation has one solution

2) 3x + 1 = 3x + 9

Subtract 3x form both sides

3x + 1 -3x = 3x + 9 - 3x

1 ≠ 9

There is no solution for this equation.

3) 2x - 4 = 2x -4

This equation has many solution

Answer:

I think we need a graph to figure out this problem; the points need to be graphed. Otherwise, I do understand!

it should be 140 if not I'm srry

Answer:

okokookokokokjfdgugv

Answer:

13√2 or 18.38478

Step-by-step explanation:

i hope this helps :)

Let us first resolve the given numbers into prime factors.

By prime factorization,

[tex] \longmapsto [/tex] √8 = √( 2 × 2 × 2)

[tex] \longmapsto [/tex] √8 = 2√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \longmapsto [/tex] √98 = √( 2 × 7 × 7)

[tex] \longmapsto [/tex] √98 = 7√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \longmapsto [/tex] √32 = √( 2 × 2 × 2 × 2 × 2)

[tex] \longmapsto [/tex] √32 = 2 × 2√2

[tex] \longmapsto [/tex] √32 = 4√2

According to the question,

[tex] \longmapsto [/tex] √8+√98+√32

[tex] \longmapsto [/tex] 2√2 + 7√2 + 4√2

[tex] \longmapsto [/tex] √2(2 + 7 + 4)

[tex] \longmapsto [/tex] √2(13)

[tex] \longmapsto [/tex] 13√2

So, we get that :

Answer:

G(-4,6)

Step-by-step explanation:

Here, we want to write a translation

moving left means we are to subtract the number of units from the original

So we have this as -4

Moving up means we are to add the number of units to the original

So we have this as +6 = + 6 units

So the answer here will be;

(-4,6)

G.  (-4, 6).

Given translation is 4 units left and 6 units up.

For left we use negative sign. And for up was use plus sign.

So the translation vector is (-4, 6).

Find out more information about the translation here: https://brainly.com/question/12861087

Answer: “Do you remember”, he said, the day in the winter of 1898, the day that petroleum ship exploded?

“I pictured that awful canopy of sooty, fatty matter suddenly shut down over a great city by a fog….”

Answer:

arc EI = 103°

arc EGI = 257°

Step-by-step explanation:

arc HI = 77° because they are alternate angles

arc EI = (360° - 77° - 77°)/2 = 103°

arc EGI = 360° - 103° = 257°

Answer:

8 blocks

Step-by-step explanation:

As the north direction is upwards and the south direction is downwards the total distance between the two people 's (Megan and Jake)  houses will be obtained by adding their distances from the library which is in the middle as shown in the diagram.

Hence total distance between the two houses= 3.5 + 4.5= 8 blocks

Jake and Meagan live 8 blocks apart.

Answer:

Other root of equation, [tex]\frac{8}{3}[/tex]

Value of ([tex]b[/tex]), [tex]-17[/tex]

Step-by-step explanation:

The given quadratic equation is in standard form. Standard form is the basic format of representing a quadratic equation, a quadratic equation in standard form would use the following format,

[tex]y=ax^2+bx+c[/tex]

To solve this problem, one could use Vieta's theorems. Vieta's theorems state the following, let ([tex]x_1[/tex]) and ([tex]x_2[/tex]) represent the roots of the equation,

[tex](x_1)+(x_2)=-\frac{b}{a}[/tex]

[tex](x_1)(x_2)=\frac{c}{a}[/tex]

Substitute the given values into the equation,

[tex]3+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=\frac{24}{3}[/tex]

Simplify,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=8[/tex]

Inverse operations,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex]x_2=\frac{8}{3}[/tex]

Substitute in the value of ([tex]x_2[/tex]),

[tex](3)+(\frac{8}{3})=-\frac{b}{3}[/tex]

Simplify, convert to improper fractions and combine like terms,

[tex]\frac{9}{3}+\frac{8}{3}=-\frac{b}{3}[/tex]

[tex]\frac{17}{3}=-\frac{b}{3}[/tex]

Multiply both sides of the equation by ([tex]3[/tex]) to remove the denominator,

[tex]17=-b[/tex]

Answer:

120

Step-by-step explanation:

Answer:I would say 12 I think

Step-by-step explanation:

Answer: 21.5 inches is the correct answer.

يريدون منك استخدام النقاط لتساعد نفسك في رسم صورة المكعبات. هذا ليس سؤالًا حقًا يمكن لأي شخص مساعدتك في الإجابة عليه حيث عليك فقط رسم الصورة. النقاط هي فقط للمساعدة في جعل الأمر أسهل من مجرد الرسم باليد.

Answer:

(0,-7)

Step-by-step explanation:

4x - y = 7

-y = -4x + 7

y = 4x - 7

-4x + (4x - 7) = -7

-4x + 4x - 7 = -7

x = 0

4(0) - y = 7

-y = 7

y = -7

Answer:

x = -70

Step-by-step explanation:

-x/10 = 7

=> -x = 7 x 10

=> -x = 70

=> x = -70

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544

so

Total balance=S.I.+P=$544+$850=$1394.

option b.$1,394.00 is your answer

Answer:

45°

Step-by-step explanation:

three angles in a triangle sum up to 180

90° + a + a = 180°

90° + 2a = 180°

2a = 180°-90°

2a = 90°

a = 45°

Answer:

need a image to answer this

Answer:

x= 45

I hope it's helps you

Answer: .4

Step-by-step explanation:

The median means the middle of a list of numbers so rearrange the numbers from smaller to greatest:

0, 0, .02, .4, 1.25, 2, 10.75

Thus the middle of this list is .4.

Hope this helps

Answer:

0.40

Step-by-step explanation:

Here is a list of the data in order from least to greatest:

$0.00, $0.00, $0.02, $0.40, $1.25, $2.00, $10.75.

There are seven numbers in the list, so the median is the fourth number, which is $0.40.

3 feet 6 inches is equal to 3.5 feet

3.5*5=17.5 feet

or 17 feet and 6 inches

Answer:

Equation: 5x = 90

x = 18

<LNM = 54degrees

Step-by-step explanation:

From the diagram shown;

<JNK + <KNL + <LNM = 90

x + x + 3x = 90

5x = 90

x = 90/5

x = 18

The equation 5x = 90 can be used to solve for x

Get <LNM = 3x

<LNM = 3(18)

<LNM = 54 degrees

Answer:

1.  True.

2. True.

3. True.

4. False.

5. True.

Answer:

about 236.715 ft²

Step-by-step explanation:

area of a circle = πr²

so π7.5² = 176.7145868

area of a rectangle is b × h

so 15 × 4 = 60

60 +  176.7145868 = 236.7145868 ft² ≈ 236.715 ft² (for the nearest thousandths)

Answer:

90 [tex]cm^{2}[/tex] of blue paint

Step-by-step explanation:

From the given diagram, the sides have the same dimensions and the shape of a triangle.

Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height

Given that, the base of each side = 6 cm, and the height = 10 cm.

Then,

Area of each side of the shape = [tex]\frac{1}{2}[/tex] x 6 x 10

                                              = 30 [tex]cm^{2}[/tex]

Since Leonard wish to paint only the 3 sides and not the bottom part of the shape, the amount of paint required can be determined as;

3 x area of each side = 3 x 30

                                   = 90 [tex]cm^{2}[/tex]

Leonard would need 90 [tex]cm^{2}[/tex] of paint to paint the sides of the shape.