Nolvia sells copy machines, and her salary is $21,000 plus a 4% commission on sales. the equation s=21,000+ 0.04x
represents her salary s in dollars in terms of her total sales x in dollars.
part: 0/3
part 1 of 3
(a) how much money in sales does nolvia need to earn a salary that exceeds $40,000?
she needs to sell in excess of $
please help im getting timed

The values of the composite functions are (f.g)(x) = 2x^3 - 19x^2 + 40x + 25 and (f/g)(x) = 2x + 1

The functions are given as:

f(x) = 2x^2 - 9x - 5

g(x) = x - 5

The composite function (f.g)(x) is calculated as

(f.g)(x) = f(x) * g(x)

This gives

(f.g)(x) = (2x^2 - 9x - 5) * (x - 5)

Evaluate the product

(f.g)(x) = 2x^3 - 9x^2 - 5x - 10x^2 + 45x + 25

Evaluate the like terms

(f.g)(x) = 2x^3 - 19x^2 + 40x + 25

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

This gives

(f/g)(x) = (2x^2 - 9x - 5)/(x - 5)

Factorize the numerator

(f/g)(x) = (2x + 1)(x - 5)/(x - 5)

Evaluate the quotient

(f/g)(x) = 2x + 1

Hence, the values of the composite functions are (f.g)(x) = 2x^3 - 19x^2 + 40x + 25 and (f/g)(x) = 2x + 1

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The length of the rectangle is 8 feet, width 1 is 7 feet and width 2 is 3.

A rectangle of area 80 square feet is broken and forms two square rectangles of area 56 square feet and 24 square feet, which has a common length.

Area of the rectangle = length × width

Now suppose the length is x feet, and let width 1 be a and width 2 be b.

Therefore we get that

            rectangle first is of area = x a

            rectangle second is of area = x b

Therefore original rectangle area = area of first rectangle + area of the second rectangle

80= x a + x b

80  = x( a + b)

As it is given that the length is common and is greater than both the width of the rectangle

56 = 8 × 7

24 = 8 × 3

So we will take x = 8 and a =7, b= 3

Now put these numbers in the equation to see if they fulfill the criteria

80 = 8( 7 + 3)

80 = 80

Therefore we get a length is 8, a width of 1 is 7, and a width of 2 is 3.

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The reminder by dividing f(x)= x⁴ + 7x³ + 17x² + 20x is divided by x² + 4 is x² + 7x + (-13x² - 8x)/(x² + 4) so none of the given option is correct.

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the dividend f(x)= x⁴ + 7x³ + 17x² + 20x and diviser x² + 4

The first time it will go to x²

Then,

Quotient = x²

Remainder = 7x³ - 13x²

The second time goes to 7x

Quotient = 7x

Remainder = -13x² - 28x

The third time it is not divisible so  (-13x² - 8x)/(x² + 4) will be the reminder.

Together it is  x² + 7x + (-13x² - 8x)/(x² + 4).

Hence "The reminder by dividing f(x)= x⁴ + 7x³ + 17x² + 20x is divided by x² + 4 is x² + 7x + (-13x² - 8x)/(x² + 4)".

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Answer:

irrational number

Step-by-step explanation:

because it has no repeating pattern

The number x = 90.790170  is rational number as it is a finite decimal and can be represented as a fraction.

Given data:

Let the number be represented as x.

Now, the value of x = 90.790170

Rational numbers can be positive, negative, or zero, and they can be written in the form a/b, where a is the numerator and b is the denominator, with b not equal to zero.

The number 90.790170 is a rational number. A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero.

Since 90.790170 is a finite decimal (it doesn't repeat or go on forever), it can be represented as a fraction of two integers.

Hence, 90.790170 is rational.

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Answer:

5(3n - 4)(3n - 10)

Step-by-step explanation:

15n² - 110n + 200 ← factor out 5 from each term

= 5(3n² - 22n + 40) ← factor the quadratic

consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × 40 = 120 and sum = - 22

the factors are - 12 and - 10

use these factors to split the n- term

3n² - 12n - 10n + 40 ( factor the first/second and third/fourth terms )

3n(n - 4) - 10(n - 4) ← factor out (n - 4) from each term

(n - 4)(3n - 10)

then

15n² - 110n + 200 = 5(n - 4)(3n - 10)

Answer:

Hello,

Step-by-step explanation:

[tex]15n^2-110n+200=15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )\\[/tex]

1. I am thinking about 2 numbers with sum=22/3 and product=40/3.

Those numbers are 4 and 10/3 since 4*10/3=40/3 and 4+10/3=22/3

[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n-\dfrac{10}{3} )(n-4)=5*(3n-10)(n-4)[/tex]

2.

[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n^2-2*\dfrac{11}{3} x+(\dfrac{11}{3})^2 -\dfrac{121}{9} +\dfrac{120}{9})\\\\=15((n-\dfrac{11}{3})^2 -\dfrac{1}{9})\\\\=15( n-\dfrac{11}{3} -\dfrac{1}{3})*(n-\dfrac{11}{3} +\dfrac{1}{3})\\=15(n-\dfrac{10}{3})(n-4)\\\\=5(3n-10)(n-4)\\[/tex]

3.

Using discriminant ...

The measure of angle is 52, 128 and 132

A  figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Given:

one angle = 52

So,

<2 = 52 (vertically opposite angle)

<1 + <2 = 180 ( linear pair)

<1 + 52 = 180

<1  = 128

and, <1 = < 3 ( vertically opposite angle)

<3 = 132

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x+2x+x=d is solution set of a linear system whose augmented matrix.

What does matrix mean?

First statement

[ 1 2 3 | d][x]

[ 1 2 3]x=d

x+2x+3x=d

Second statement

Ax=d

Given that A = [ 1 2 3]

[ 1 2 3]x=d

x+2x+3x=d

x+2x+x=d

Then, they are going to have the same solution

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Answer:

-2

Step-by-step explanation:

g(x) = -x-4

g(-2) = -(-2)-4

           2 - 4

              -2

Answer:

g(-2) = -2

Step-by-step explanation:

Hello!

To evaluate for -2, we can substitute -2 for x in the equation.

g(-2) is -2.

The proportion of individuals who purchased organic products is 24.77%.

The target variable is the variable whose values are modeled and predicted by other variables. A predictor variable is a variable whose values will be used to predict the value of the target variable

The target variable (also called the dependent variable) used in the analysis for this tutorial is a categorical variable that differentiates clinicians in the study that indicated that they would be Highly Likely to Use Product X from those that had a Low Likelihood to Use the new product

Organic food is grown without the use of synthetic chemicals, such as human-made pesticides and fertilizers, and does not contain genetically modified organisms (GMOs). Organic foods include fresh produce, meats, and dairy products as well as processed foods such as crackers, drinks, and frozen meals.

According to the plot the distribution of target variable is as follows

0’s: 167181’s

5505

The proportion of individuals who purchased organic products are: 5505/22223

= 0.2477

=24.77%

That is around 24.77% people have purchased organic products.

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The total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

Given that, principal=$2000, rate of interest=5% and time period=3 years.

The compound interest formula is used to calculate compound interest, sometimes known as "interest on interest". The formula for compound interest is [tex]A = P(1 + \frac{r}{100})^{nt}[/tex], where P= principal balance, r= interest rate, n= number of times interest is compounded per time period and t= number of time periods.

Now, A=2000(1+5/100)³

=2000(1+0.05)³

=2000(1.05)³

=$2,315.25

Therefore, the total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

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The scientist that made a more concentrated salt solution is scientist A.

Since Scientist A dissolved 1.0 kilogram of salt in 3.0 liters of water. The concentration will be:

= 1/3 = 0.33

Scientist B dissolved 2.0 pounds of salt into 7.0 pints of water. The concentration will be:

= 2/7

= 0.285

Therefore, the scientist that made a more concentrated salt solution is scientist A.

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Answer:

Step-by-step explanation:

 a : b

 9 : 6

 2 : x

Cross multiply

6*2 = 9x

12 = 9x

12/9 = x

4/3 = x

All real numbers x more than 2 units from 0 will be |x - 2| ≤ 0.

What does "real number" mean?

All real numbers x at most 2 units from 0

This means if x is centered at 2 then it can move at the max 2 units on either side (i.e. 4 units after 2 and 0 units before 2)

This will be |x - 2| ≤ 0

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5% of votes were for Tom: 27

2/9 of the votes were for Rebecca: 114

213 votes are for Wendy

She make 5 apple pie and 2 peach pie.

In the given statement is:

Bonnie made 7 pies. there were 6 slices in each apple pie and 7 slices in each peach pie. if Bonnie made 44 slices of pie in total.

To find the how many of each pie did she make

Now, According to the question :

Let start the solution

Total number of slices made by Bonnie is 44

Let Number of apple pies be x

and, number of peach pies is (7 - x) ............(1)

Pieces of an apple pie is 6x

Pieces of peach pie = 7 (7 - x)

Calculation

6x + 7(7 - x) = 44

6x + 49 -7x = 44

-x = 44 - 49

-x = -5

x = 5

Put the value of x in equation (1)

7 - x = 7 - 5 = 2

She make 5 apple pie and 2 peach pie.

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The digits that make the given statement true are 3 or 7.

So, 5,156,9_6 to be divisible by 4:

Therefore, the digit that makes the given statement true is 3 or 7.

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The correct question is given below:
Type a digit that makes this statement true.

5,156,9_6 is divisible by 4.

If the polynomial function f(x)=(x+1)(x+3)9x-4) is rewritten in standard form, the degree would be  3  and the constant term would be 12 .

What is  polynomial function?

f(x)=(x+1)(x+3)9x-4)

f(x ) = 3x³ + 36x² + 27x - 4x² - 16x - 12

f(x) =  3x³ + 32 x² + 11x - 12

in above function highest degree would be 3 and constant -12 .

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.

Answer:

expression d is your right answer

The set of points (A) P, T, and Y are collinear.

In response to the question -

Therefore, the set of points (A) P, T, and Y are collinear.

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The correct question is given below:
Which set of points is collinear?

(A) P, T, Y

(B) D, S, Y

(C) H, T, S

(D) Y, D, H

The quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

The graph clearly is the graph of a quadratic equation, there we can see that:

The y-intercept is y = 1.

The vertex is (2, -3)

Remember that if we know that a quadratic equation has a vertex (h, k), then the equation can be written as:

y = a*(x - h)^2 + k

In this case, the vertex is (2, -3), replacing that we get:

y = a*(x - 2)^2 - 3

Now, we can find the value of a, the leading coefficient, by using the fact that the y-intercept is y = 1, evaluating in zero we should get:

1 = a*(0 - 2)^2 - 3

1 = a*4 - 3

1 + 3 = a*4

4/4 = a = 1

Then we conclude that the quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

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The coordinate of point c is such that point c is 7/8 of m to j is [ 7/8(x₂ - x₁),  7/8(y₂ - y₁) ].

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

For example (5,3) here 5 will be for the x and 3 will be for the y.

Another example is (9,0) here 9 is for x and 0 is for y.

Let's say the coordinate of m → (x₁,y₁)

j → (x₂ ,y₂)

Now since point c is proportion with 7/8

So,

It will be 7/8 times of difference between of x and y coordinate of points m and j

So,

x = 7/8(x₂ - x₁) and y = 7/8(y₂ - y₁)

Hence "The coordinate of point c is such that point c is 7/8 of m to j is [ 7/8(x₂ - x₁),  7/8(y₂ - y₁) ]".

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Linear equation: a, b, c, and r are real numbers (and if a, b, and c are not all equal to 0)

then ax + by + cz = r is called a linear equation in three variables. (The

“three variables” are the x, the y, and the z.)

The numbers a, b, and c are called the coefficient of the equation. The

number r is called the constant of the equation

y(a-b)=c(y+a)

ya-yb=cy+ca

ya-yb-cy=ca

y(a-b-c)=ca

[tex]y=\frac{ca}{a-b-c}[/tex]

case 1:

if either C and a are zero the y is zero,

case 2:

if

[tex]c\neq 0 \\a\neq 0\\y\neq 0[/tex]

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Answer:

angle 11 is an obtuse angle

Step-by-step explanation:

93           <        90

⬆️                     ⬆️

obtuse               right

The ounces of onions is 5 ounces.

Let the onions be represented by x.

The recipe uses 4 times more carrots than onions. The carrots will be 4 × x = 4x.

Therefore, the equation will be:

4x + x = 25

5x = 25

Divide by 5

x = 25/5

x = 5

Therefore, the ounces of onions is 5 ounces.

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Answer:

Step-by-step explanation:

The ounces of onions is 5 ounces.

The recipe uses 4 times more carrots than onions. The carrots will be 4 × x = 4x.

Therefore, the equation will be:

4x + x = 25

5x = 25

Divide by 5

x = 25/5

x = 5

Therefore, the ounces of onions are 5 ounces.

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

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