A company uses the formula below to determine the salary offered to a potential employee, where s is the salary and y is the number of years of experience the potential employee has.

Answer:

E(m) = 2,000 + 0.15(m + 20,000)

Step-by-step explanation:

The function calculates his monthly earnings E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

Given that, Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000.

We need to calculate his monthly earnings (E) as a function of m, his monthly sales.

The composition of a function is an operation in which two functions say f and g generate a new function say h in the sort of manner that h(x) = g(f(x)). It method right here characteristic g is carried out to the characteristic of x. So, basically, a feature is implemented to the end result of another feature.

Now, the function for the given situation is E(m) = 2,000 + 15(m - 20,000).

The function is E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

Learn more about composition functions here: brainly.com/question/10687170

#SPJ6

Answer:

The time, t it will take LA and San Francisco to be next to each other is 8,245,614.04 years which is over 8 million years

Step-by-step explanation:

The given parameters are;

The speed with which the pacific plate moved northward relative to the North American plate = 5.7 cm/year = 5.7 × 10⁻⁵ km/year

The distance between current LA and San Francisco = 470 km

From the formula for speed, s, we have

Speed = Distance/Time

Therefore, Time, t = Distance/Speed

The time, t it will take LA and San Francisco to be next to each other is given as follows;

t = (Distance between LA and San Francisco)/(The speed with which the pacific plate)

t = (470 km)/(5.7 cm/year) = 470/(5.7 × 10⁽⁻⁵⁾) = 8245614.04 years

Therefore, the time, t it will take LA and San Francisco to be next to each other is 8245614.04 years.

Answer:

(no solutions exist)

Step-by-step explanation:

Answer:

2q

Step-by-step explanation:

The product of multiple quantities is basically multiplying them together so our answer is 2 * q or 2q.

Answer:

x=-3

Step-by-step explanation:

5x+7+3x=-8+3x

Combine like terms

8x+7 = 3x-8

Subtract 3x from each side

8x+7-3x = 3x-8-3x

5x+7 = -8

Subtract 7 from each side

5x+7-7 = -8-7

5x = -15

Divide each side by 5

5x/5 = -15/5

x = -3

Answer:

Step-by-step explanation:

5). y = 4 - x²

   Table for the points on this function will be,

   x          -2          -1          0           1           2

   y           0          3          4           3           0

  Therefore, Domain of the function will be: (-∞, ∞)

  And Range of the function will be : (-∞, 2]

7). [tex]y=2+\sqrt{x-1}[/tex]

    This function is defined from the values of x ≥ 1

   Table for the input-output values of this function is,

   x        1          2         5         10          17  

   y        2         3         4          5           6  

   Therefore, Domain of the function will be: [1, ∞)

   And Range of the function : [2, ∞)

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Alternate exterior angles are congruent so we know that ∠2 ≅ ∠ 7. Vertical angles are also congruent so ∠7 ≅ ∠6. Consecutive interior angles are supplementary so we know that ∠6 and ∠4 are supplementary. Now, we can use the Transitive Property (this states that if a = b and b = c then a = c) to compare ∠2 and ∠4. In this case, a = ∠2, b = ∠7 and c = ∠6 so we know that ∠2 ≅ ∠6 and since ∠6 is supplementary to ∠4, we can use the Transitive Property again to conclude that ∠2 and ∠4 are supplementary.

Answer:

Step-by-step explanation:

Multiply by x^2 on both sides

9x^2+27x+8=0

Factor.

The answers are -1/3, -8/3

Answer:

640

Step-by-step explanation:

we turn the 80% into decimal so:

80÷100= 0.8

Then we multiply to find the discounted amount:

800×0.8= 640

Answer:

24.24, 24.304, 24.4, 24.54

Step-by-step explanation:

Answer:

The y-intercept is (0, 5).

Step-by-step explanation:

We find the equation of the line in slope-intercept form:

y - y1 = m(x - x1)

y - 13 = 2(x - 4)

y = 2x - 8 + 13

y = 2x + 5  -  This is slope-intercept form where the graph passes through the y-axis at y = 5.

Answer:

Root 37

Step-by-step explanation:

All of the others are square numbers so they have no decimal numbers. Root 37 = 6.08...... making it an irrational number.

Greetings from Brasil...

We will pass the - 2 to the 1st member

2 + [1/(X + 7)] = 15/(5(X + 7))

simplifying the numerator and denominator of the 2nd member

2 + [1/(X + 7)] = 3/(X + 7)

solving the sum of the 1st member

(2X + 15)/(X + 7) = 3/(X + 7)

product of the means by extremes

(2X + 15) · (X + 7) = 3 · (X + 7)

2X² + 15X + 14X + 105 = 3X + 21

2X² + 29X - 3X + 105 - 21 = 0

solving this 2nd degree equation

Δ = b² - 4.a.c

Δ = 26² -  4 . 2 . 84

Δ = 676 - 4. 2 . 84

Δ = 4

X' = (-26 + √4)/2.2     X'' = (-26 - √4)/2.2

X' = -24 / 4     X'' = -28 / 4

Answer:

to what?

Step-by-step explanation:

Answer:

please mark my answer brainliest

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=8x-5\text{ and } g(x)=9-2x[/tex]

And we want to find:

[tex](f\circ g)(x)\text{ and } (g\circ f)(x)[/tex]

1)

Recall that:

[tex](f\circ g)(x)[/tex]

is the same as:

[tex]=f(g(x))[/tex]

Thus, we can substitute g(x):

[tex]=f(9-2x)[/tex]

And substitute that into f(x):

[tex]f(x)=8x-5\\f(9-2x)=8(9-2x)-5[/tex]

Distribute:

[tex]=72-16x-5[/tex]

Subtract and simplify:

[tex]=67-16x\\=-16x+67[/tex]

Thus:

[tex](f\circ g)(x)=-16x+67[/tex]

2)

Similarly:

[tex](g\circ f)(x)=g(f(x))[/tex]

Substitute f(x):

[tex]g(f(x))=g(8x-5)[/tex]

Substitute:

[tex]g(8x-5)=9-2(8x-5)[/tex]

Distribute:

[tex]=9-16x+10[/tex]

Simplify:

[tex]=-16x+19[/tex]

Therefore:

[tex](g\circ f)(x)=-16x+19[/tex]

Answer: C

Step-by-step explanation: the equation on the opposite side is the same

Step-by-step explanation:

[tex]3x + 5 = 26[/tex]

[tex]3x = 26 - 5[/tex]

[tex]3x = 21[/tex]

[tex]x = 7[/tex]

Hope it helps u

leave a like

plz mark it as brainlist

The solution for the linear equation is x = 7.

To find the value of x in the equation 3x + 5 = 26, we can follow these steps:

Step 1: Subtract 5 from both sides of the equation to isolate the term with x on one side.

3x + 5 - 5 = 26 - 5

3x = 21

Step 2: Divide both sides of the equation by 3 to solve for x.

(3x)/3 = 21/3

x = 7

Therefore, the value of x in the equation 3x + 5 = 26 is x = 7.

Learn more about  linear equations at:

https://brainly.com/question/1884491

#SPJ6

Answer:

A set of all positive integers between 7 and 43.

Step-by-step explanation:

If a triangle is given with the sides a, b, c, triangle is possible when,

a + b > c

a + c > b

b + c > a

Following the same rule in a triangle having side lengths 18, 25 and l unit.

18 + 25 > l    ⇒ l < 43

18 + l > 25    ⇒ l > 7

25 + l > 18    ⇒ l > -7

Therefore, length of the third side of the triangle will be,

7 < l < 43  (A set of positive integers between 7 and 43)

Answer:

y = 1.5x

Step-by-step explanation:

Cost of pineapples:

x pounds of pineapple will cost:

This function is represented as:

Answer:

I thought it would be 24

Answer:

r = 0

Step-by-step explanation:

Therefore, r = 0.

Check to see if it works:

Therefore, we know 0 is the right answer because as it says in the last step,

0 + 28 is indeed equal to 28, which the problem says is the answer.

Answer: [tex]x=0[/tex]

Flip the equation

[tex]4r+28=28[/tex]

Subtract 28 from both sides

[tex]4r+28-28=28-28\\4r=0[/tex]

Divide both sides by 4

[tex]4r/4=0/4\\x=0[/tex]

Answer:

6

Step-by-step explanation:

This is calculated in order from left to right. This is same as: (36/2)/3

Note:

It would be calculated as below if the parenthesis was differently applied:

Answer:

6

Step-by-step explanation:

Answer:

6x3−2x2−11x+4

Step-by-step explanation:

the numbers after the x are squared

Answer:

q = 5/3

Step-by-step explanation:

-4q=2q-10

Subtract 2q from each side

-4q-2q=2q-2q-10

-6q = -10

Divide each side by -6

-6q/-6 = -10/-6

q = 5/3

Answer:

q = 3/5 or 0.6

Step-by-step explanation:

-4q = 2q - 10

0 = 6q - 10

6q = 10

q = 6/10

q = 3/5

Hey, your question is incomplete so, plz write complete question to get the required answer

    [tex]x^2-5x+6=0[/tex]

    [tex]x=\frac{-(-5)\pm\sqrt{(-5)^2-4\times1\times6}}{2\times1}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm\sqrt{25-4\times6}}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm\sqrt{25-24}}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm\sqrt{1}}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm1}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5-1}{2}\;\;\;\vee\;\;\;x=\frac{5+1}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{4}{2}\;\;\;\vee\;\;\;x=\frac{6}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=2\;\;\;\vee\;\;\;x=3[/tex]

Answer:  [tex]x\in\{2\;;\;3\}[/tex]

[tex]\sf\dfrac{-(-5)\pm\sqrt{\sf (-5)^2-4\cdot1\cdot6}}{2\cdot1}[/tex]

[tex]\sf\dfrac{5\pm\sqrt{\sf 25-24}}{2}[/tex]

[tex]\sf\dfrac{5\pm\sqrt{\sf 1}}{2}[/tex]

[tex]\sf\dfrac{5\pm1}{2}[/tex]

[tex]\sf x'=\dfrac{5-1}{2}~~~~~~x''=\dfrac{5+1}{2}[/tex]

[tex]\sf x'=\dfrac{4}{2}~~~~~~~~~~~~x''=\dfrac{6}{2}[/tex]

[tex]\sf x'=2~~~~~~~~~~~~~x''=3[/tex]

⠀⠀

Solutions = {2, 3}

⠀⠀

⠀⠀

I hope that helps !!

Answer:

The answer is [tex](\frac{5}{2} , \frac{3}{2} )[/tex]

Step-by-step explanation:

(3,-1) (2,4)

Plug into the midpoint formula:

[tex](\frac{x_{2}_+x_{1}}{2}} ,(\frac{y_{2}_+y_{1}}{2}})[/tex]

[tex](\frac{2+3}{2}}), (\frac{4-1}{2}})[/tex]

Solve:

[tex](\frac{5}{2}}), (\frac{3}{2}})[/tex]

Pls mark brainliest!

Hope this helps! :)

Answer:

to find the x-intercept, set y to 0.

0 = 1/5x - 7

7 = 1/5x

35 = x

(35, 0)

to find the y-intercept, set x to 0.

y = 1/5(0) - 7

y = 0 - 7

y = -7

(0, -7)