1. Try It # 1 A company sells doughnuts. They incur a fixed cost of $25,000 for rent, insurance, and other expenses. It costs $0.25 to produce each doughnut.
b. Find and interpret the y-intercept.

Answer: 0,11

Step-by-step explanation:

to solve this absolute value equation, you can remove the absolute value symbols and set 2 separate equations:
6-x=5

6-x=-5

solve them and you get the answers

The ratio that compares the men to the women who work at the warehouse is 4 : 1.

A ratio is a value that shows the proportional relationship between two quantities.

A ratio indicates how many times one number is contained in another.

For example, in the above task, there is 4x the number of men when compared with the number of women who work at the warehouse.

Men working at the warehouse = 1,200

Women working at the warehouse = 300

Ratio of men to women = 4 : 1 (1,200 : 300)

Thus, the ratio that compares the men to the women who work at the warehouse is 4 : 1.

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Answer: 4:1

i just took a test

Step-by-step explanation:

alison, beatrice and chole each of them have at first 56, 8, 32 books.

alison, beatrice and chole each had some books. alison gave beatrice and chole some books that doubled the number of books they had, lastly chole gave alison and beatrice some books that doubled the number of books they had. each of them had 32 books at the end.

Working backward is process in which calculation done in reverse direction.

let alison, beatrice and chole has x,y and z books initially,

alison gave beatrice and chole some books that doubled the number of books they had
alison, beatrice and chole has (96-2y-2z), (2y) , (2z)
chole gave alison and beatrice some books that doubled the number of books they had. each of them had 32 books at the end.

alison, beatrice and chole has 2(96-2y-2z), 2(2y) , (96-2(96-2y-2z)-4y)

at the end,
beatrice = 32

4y=32

y = 8

chole =32

96-2(96-2y-2z)-4y)=32
z=32

alison = 96-y-z

x=96-8-32
x=56

Thus the required alison, beatrice and chole each of them have at first 56, 8, 32 books.

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Hello,

   3x - 11 > 7x + 9

⇔ -11 - 9 > 7x - 3x

⇔ - 20 > 4x

⇔ -20/4 > 4x/4

⇔ - 5 > x

⇔ x < - 5

The solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is:

3x - 11 > 7x + 9

After simplification:

3x - 7x > 9 + 11

-4x > 20

-x > 5

Multiplying by a negative sign on both sides:

x < -5

The number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.

After plotting on the number line:

x ∈ (-∞, -5)

Thus, the solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.

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Answer:

The building is around 47 meters tall

Step-by-step explanation:

Pole:

tall/long

2.8/1.79

Building:

tall/long

x/42.25

Solve for x:

2.8/1.79 = x/42.25

1.79x = 84.5

x ≈ 47

Answer:

Step-by-step explanation:

Comment and answer

ABC is similar to XBY           The triangles are similar because

BX = 2                                             Given

XA = 3                                             Given

BY = 3                                              Given

YC = x                                              Object of question

BX/(BX + XA) = BY / (BY + YC)       Parts of two similar triangles

2/(2 + 3) = 3/(3+ x)                           Combine the left

2/5 = 3/(3 + x)                                  Cross Multiply

2*(3 + x) = 3*5                                  Remove the brackets

6 + 2x = 15                                       Subtract 6 from both sides

6-6+2x = 15 - 6                                Combine

2x = 9                                               Divide by 2

2x/2 = 9/2

x = 4.5

Answer

x = 4.5 or D

Answer:

[tex]y=\frac{-2}{3} x-15[/tex]

Step-by-step explanation:

First draw a line. I will put it in an attachment so you can see the line.

Now choose to points on the line to use the slope formula.

(0,15) and (3,13).

Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in the information needed using the two points chosen.

[tex]\frac{13-15}{3-0}=\frac{-2}{3}[/tex]

The slope is [tex]\frac{-2}{3}[/tex].

Now use point-slope formula.

Point-slope formula: y-y1=m(x-x1)

y-15=[tex]\frac{-2}{3}[/tex](x-0)

y-15=[tex]\frac{-2}{3}[/tex]x-0

Subtract 15 from both sides.

y=[tex]\frac{-2}{3}[/tex]x-15

Hope this helps!

If not, I am sorry.

Answer:

Step-by-step explanation:

Answer:

f(-2)=36 , f(-1)=12 ,f(0)=2, f(1)=6,f(2)=24

Answer:

j fingertip was not an easy choice but

The option that represents the answers for 6, 8, 10, and 14 is the second option-   31, 41, 51, 71

From the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14

In the given diagram,

The first picture requires 6 matches

The 2nd picture requires additional 5 matches

the 3rd  picture requires additional 5 matches

and so on

That is

1 → 6

2 → 6 + 5 = 11

3 → 11 + 5 = 16

4 → 16 + 5 = 21

5 → 21 + 5 = 26

6 → 26 + 5 = 31

7 → 31 + 5 = 36

8 → 36 + 5 = 41

9 → 41 + 5 = 46

10 → 46 + 5 = 51

11 → 51 + 5 = 56

12 → 56 + 5 = 61

13 → 61 + 5 = 66

14 → 66 + 5 = 71

Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option-   31, 41, 51, 71

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Answer:

y = - 2x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3 ) and (x₂, y₂ ) = (1, 1 )

m = [tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 2x + 3 ← equation of line

The pairs of rectangles are similar polygons; Option C and Option D.

A polygon is a closed figure made up of three or more line segments connected end to end.

Similar polygon beings their sides have equivalent ratios to each other.

Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional.

C. 1.89/2.1 = 81/0.9 = 90

D. 120 / 24 = 60 / 12 = 5

Hence, Option C and Option D are similar polygons only.

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Using the mid-point concept, the set of points that has midpoint B(-41,23) is: G(10,10) and H(-92,36).

The mid-point between two points is the halfway point between them, and is found using the mean of the coordinates.

In this problem, we have that:

Hence the coordinates of H are found as follows:

[tex]-41 = \frac{10 + x}{2}[/tex]

10 + x = -82.

x = -92.

[tex]23 = \frac{10 + y}{2}[/tex]

10 + y = 46.

y = 46.

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An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].Option A is correct from the drop-down menu.

Fraction simplification is a method of fraction reduction that entails making a fraction as simple as possible.

This is accomplished by dividing the numerator and denominator by the biggest integer that divides both integers exactly.

A fraction is consist of the form p/q

Where,

P is the numerator and q is denominator

An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].

Hence option A is correct.

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Hello !

Answer:

Step-by-step explanation:

Pythagorean Theorem : a² + b² = c² ⇔ b² = c² - a²

Here, we have a = 4 and c = 6 so :

    b² = 6² - 4²

⇔ b² = 36 - 16

⇔b² = 20

⇔ b = √20  (and not b= -√20 because b ≥ 0)

Answer:

b = [tex]\sqrt{20}[/tex]

Step-by-step explanation:

Using the Pythagorean Theorem:

6² = 4² + b²

⇒ b² = 6² - 4²

⇒ b = [tex]\sqrt{6^2 - 4^2}[/tex]

⇒ b = [tex]\sqrt{36 - 16}[/tex]

⇒ b = [tex]\sqrt{20}[/tex]

Answer:

see explanation

Step-by-step explanation:

the equation of parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier.

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute any other point on the graph into the equation.

using (0, 7 )

7 = a(0 - 3)² + 1 ( subtract 1 from both sides )

6 = a(- 3)² = 9a ( divide both sides by 9 )

[tex]\frac{6}{9}[/tex] = [tex]\frac{2}{3}[/tex] = a

y = [tex]\frac{2}{3}[/tex] (x - 3)² + 1 ← in vertex form

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

the equation of a parabola in factored form is

y = a(x - a)(x - b)

where a, b are the zeros and a is a multiplier

here zeros are - 1 and 3 , the factors are

(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)

y = a(x + 1)(x - 3)

to find a substitute any other point that lies on the graph into the equation.

using (0, - 3 )

- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

1 = a

y = (x + 1)(x - 3) ← in factored form

The rectangle's area decreased by 19%.

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 + 25%) x B x (1 - 25%)

A = L x B x 0.25 x 0.75 = L x B x 1.05

Therefore the area of the rectangle has decreased by 19%.

To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.

The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.

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Answer:-

DIY(do it yourself)

Step-by-step explanation:

y = 1/x^2 => g

y = x^2 => a

y = (x)^1/3 => f

y = 1/x => b

Answer:

x = 1

Explanation:

[tex]\sf \rightarrow log(3x) + log(x + 4) = log(15)[/tex]

Rule: log(a) + log(b) = log(ab)

[tex]\sf \rightarrow log(3x(x + 4)) = log(15)[/tex]

cancel out log on both sides

[tex]\sf \rightarrow 3x(x + 4) = 15[/tex]

relocate constant variable

[tex]\sf \rightarrow 3x^2 + 12x -15 = 0[/tex]

take 3 as a common factor

[tex]\sf \rightarrow 3(x^2 + 4x -5) = 0[/tex]

divide both sides by 3

[tex]\sf \rightarrow x^2 + 4x -5 = 0[/tex]

middle term split

[tex]\sf \rightarrow x^2 + 5x -x-5 = 0[/tex]

factor common terms

[tex]\sf \rightarrow x(x + 5) -1(x+5)= 0[/tex]

collect into groups

[tex]\sf \rightarrow (x-1)(x+5)= 0[/tex]

set to zero

[tex]\sf \rightarrow x-1 = 0 , \ x+5= 0[/tex]

relocate variables

[tex]\sf \rightarrow x = 1, \ x = -5[/tex]

There must be a positive solution for log, so the solution is only x = 1

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Given:

[tex]\log (3x)+\log(x+4)=\log (15)[/tex]

As the logs have no base, assume that the base is 10.

[tex]\textsf{Apply log Product law}: \quad \log_ax + \log_ay=\log_axy[/tex]

[tex]\implies \log_{10} (3x)+\log_{10}(x+4)=\log_{10} (15)[/tex]

[tex]\implies \log_{10} \left(3x(x+4)\right)=\log_{10} (15)[/tex]

Expand the brackets:

[tex]\implies \log_{10} \left(3x^2+12x\right)=\log_{10} (15)[/tex]

[tex]\textsf{Apply the log Equality law}: \quad \textsf{if }\: \log_ax=\log_ay\:\textsf{ then }\:x=y[/tex]

[tex]\implies 3x^2+12x=15[/tex]

Subtract 15 from both sides:

[tex]\implies 3x^2+12x-15=0[/tex]

Factor out the common term 3:

[tex]\implies 3(x^2+4x-5)=0[/tex]

Divide both sides by 3:

[tex]\implies x^2+4x-5=0[/tex]

Split the middle term:

[tex]\implies x^2+5x-x-5=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x+5)-1(x+5)=0[/tex]

Factor out the common term (x + 5):

[tex]\implies (x-1)(x+5)=0[/tex]

Therefore:

[tex]x-1=0 \implies x=1[/tex]

[tex]x+5=0 \implies x=-5[/tex]

As logs cannot be taken of negative numbers, [tex]x=-5[/tex] is an extraneous solution.  Therefore, the only valid solution is:  [tex]x=1[/tex]

Answer:

x>-42

Step-by-step explanation:

I dont have time to explain de but thats the answer

Answer: 2(7x + 3y + 4) [unsimplified] or 14x + 6y + 8 [simplified]

Step-by-step explanation: The perimeter of a parallelogram is 2 * (the two sides.)

Adding 5x + 4 and 2x + 3y, we get 7x + 3y + 4 by combining like terms in the x terms.

Now, we multiply by 2. This is 2(7x + 3y + 4) or 14x + 6y + 8

The value on the table above will be $30.6. Then the correct option is D.

The quantity of anything is stated as though it were a fraction of a hundred.

Raj was friends with his waitress, so he left her a 90 percent tip.

If his tip was $27.54.

Then the value in the table above will be

⇒ $27.54 / 0.90

⇒ $30.6

Then the correct option is D.

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Answer:

Step-by-step explanation:

_____+29 ÷4 = 16

Fill in the blank, Please

we can solve with an equation

x + 29 : 4 = 16

x + 7.25 = 16

x = 16 - 7.25

x = 8.75

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

check

8.75 + 29 : 4 = 16

8.75 + 7.25 = 16

16 = 16

the answer is good

Answer:

35

Step-by-step explanation:

first u multiply by 4 to get 64

then subtract 29 to get

Answer:

-ab^2

Step-by-step explanation:

7b^2a - 5b^2a - 3ab^2

= 2b^2a - 3ab^2

= (2 × b^2 × a) - (3 × a × b^2)

= -ab^2

b^2a and ab^2 is the same thing. hope it helps!

Answer:

48 cm is the answer

Step-by-step explanation:

Using Perimeter of rectangle = 2(l+b)

=> 2(4+2)

=> 2(6)

=> 12

As 4 rectangles multiply by 4

so, 12 × 4

= 48

Any questions you may ask.

Answer:

B. Linear increasing

Step-by-step explanation:

decay means decreasing

exponential graph would have a curve