A furniture company currently produces 7900 chairs per month. If production decreases 66​%, find the amount of the decrease and the new number of chairs produced each month.

To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, substitute the x and y values of each ordered pair into the inequality and check if it is satisfied.

To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, we substitute the x and y values of each ordered pair into the inequality and check if the inequality is satisfied:

Therefore, the correct answers are (6, 1), (0, -3), and (2, -2).

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D, Each x value has one and only one y value.; This is because if an x-value repeats itself then it is not a function. You can test this on a graph by drawing a vertical line on it. If the vertical line intercepts the line more than once anywhere on the graph, then it is not a function.

Answer:

Each x value has one and only one y value.

Step-by-step explanation:

y = f(x) can be called a function if, and only if

f(a) = f(b) means that a = b.

That is, each x value has one and only one y value.

y = 4 - 6x

f(a) = f(b)

4 - 6a = 4 - 6b

6b = 6a

b = a

So the correct answer is:

Each x value has one and only one y value.

In order for the data set to represent a function, there can be no duplicates of the first value.

A. 1 is used as the first value more than once       it is NOT a function

B. 3 is used as the first value more than once       it is NOT a function

C. no first number is used more than once            it IS a function

D. 3 is used as the first value more than once       it is NOT a function

Answer: C

Answer:

The coefficient of the squared expression in the parabolas equation will be 5.

Step-by-step explanation:

The vertex form of parabola is:  [tex]y=a(x-h)^2 +k[/tex] , where [tex](h,k)[/tex] is the vertex point and [tex]a[/tex] is the coefficient of [tex]x^2[/tex] term.

The vertex is given as [tex](3,-2)[/tex]. That means, [tex]h=3[/tex] and [tex]k=-2[/tex]

So, the vertex form will be:  [tex]y=a(x-3)^2-2[/tex]

Given that, when the x-value is 4, the y-value is 3. So, plugging these values into the above equation, we will get.....

[tex]3=a(4-3)^2-2\\ \\ 3=a(1)^2-2\\ \\ a=3+2=5[/tex]

Thus, the coefficient of the squared expression in the parabolas equation will be 5.

3/100, 5/100, 5/100 75/100

"Less than" means subtraction

The order they appear in tells me to subtract 9 from N.

n - 9

Final answer:

To solve the word problem, subtract 3 from 8 to find the number of Dalmatians Sarah has, then add that number to Joe's 8 Dalmatians to determine the total number of Dalmatians they have together, which is 13.

Explanation:

To solve the word problem presented, we need to perform two primary operations: subtraction and addition. Joe has 8 Dalmatians, and Sarah has 3 fewer Dalmatians than Joe.

First, we determine how many Dalmatians Sarah has by subtracting 3 from 8. Once we know how many Dalmatians Sarah has, we add that number to Joe's 8 Dalmatians to find out the total number they have together.

Step 1: Calculate the number of Dalmatians Sarah has.
Sarah's Dalmatians = Joe's Dalmatians - 3
Sarah's Dalmatians = 8 - 3
Sarah's Dalmatians = 5

Step 2: Calculate the total number of Dalmatians they have together.
Total Dalmatians = Joe's Dalmatians + Sarah's Dalmatians
Total Dalmatians = 8 + 5
Total Dalmatians = 13

Therefore, Joe and Sarah have a total of 13 Dalmatians together.

Answer:

Infinitely many.

Step-by-step explanation:

y = 3x + 4

2y = 6x + 8

Basically you would fill in the variable for y into the second equation.

2 (3x + 4) = 6x + 8

Multiply 2 by the part in the parenthesis.

2 * 3x = 6x

2 * 4 = 8

Set up the equation and solve

6x + 8 = 6x + 8

Because the sides are the same, they cancel each other out. When two sides equal the same variable they have infinitely many solutions.

48 children and 96 adults

let x be the number of children then number of adults = 2x and

x + 2x = 144

3x = 144 ( divide both sides by 3 )

x = [tex]\frac{144}{3}[/tex] = 48

There are 48 children and ( 2 × 48 ) = 96 adults

There are 48 children and 96 adults in line.

To find how many children and adults are in line, we can use algebraic equations and solve for each variable. Let's assume the number of children in line is x. Since there are twice as many adults as children, the number of adults in line would be 2x. According to the given information, the total number of people in line is 144. Therefore, we can set up the equation x + 2x = 144. Simplifying the equation, we get 3x = 144. Dividing both sides by 3, we find x = 48. So, there are 48 children and 2 * 48 = 96 adults in line.

Answer:

B is the correct answer.

The function that passes through the points (2, 15) and (3, 26) is B) y = 11x - 7.

The function that passes through the given points is B) y = 11x - 7.

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median = 35

the median is the middle entry of the data arranged in ascending order

rearranging the data in ascending order

3 5 23 27 35 37 45 48 49

the middle value = 35 ← median

You have 3 $5s and 4 $1 bills. Hope this helps :)

You have 3 $5s and 4 $1 bills.

Hope this helps you, if it does, please mark brain! <3

-SHOBE-

Answer:

Distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh

Explanation:

Distance traveled by a body = Velocity of the body * Time taken by the body

Here velocity of Sierra =  2x miles per hour

Time taken by Sierra = h hours.

Distance traveled by Sierra = 2x * h = 2xh

So distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh

We are given traingle ABC and Triangle DEF.

Angle <A is congruent to Angle <D

Angle <B is congruent to Angle <E

Angle <C is congruent to Angle <F.

If two pairs of corresponding angles are congruent to each other, then the triangles are similar by Angle-Angle Similarity.

By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.

Therefore, option C is correct option.

Answer:

Similar AA

Step-by-step explanation:

We are given

a cubic polynomial function has the same zeroes

Let's assume that zeros as 'a'

so, we can write it as

[tex]f(x)=(x-a)^3[/tex]

now, we are given y-intercept

(0,-5)

at x=0 , y=-5

we can use it and then find 'a'

[tex]-5=(0-a)^3[/tex]

[tex]a=\sqrt[3]{5}[/tex]

now, we can plug it

and we get

[tex]f(x)=(x-\sqrt[3]{5})^3[/tex]..................Answer

Answer:

Use the zeroes to determine the roots.

Write the polynomial as a product of the leading coefficient, a, and the factors, where each factor is x minus a root.

Use the y-intercept (0, –5) to solve for the leading coefficient.

Substitute the leading coefficient into the polynomial function for a and simplify.

Step-by-step explanation:

The selling price of the jacket, after the store increases its purchasing price by 80%, is $36.

The subject of this question is mathematics, specifically a practical application of percentages. The store buys the jacket for $20 and then increases the sale price by 80% for its customers. First, to calculate the 80% of the cost price, you multiply 20 (the cost price) by 0.80 (the percentage increase represented as a decimal). This results in $16. The selling price is then calculated by adding this calculated value to the original cost price which gives us $20 + $16 = $36. So, the store sells the jacket for $36.

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Answer:

The roots are [tex]-3,-2,3[/tex]

Step-by-step explanation:

Let [tex]f(x)=x^3-2x^2+5x-6[/tex] and [tex]g(x)=-4x^2+14x+12[/tex].

The graph of the two functions are in the attachment.

The x-values of the points of intersection are the roots of the polynomial equation.

[tex]x^3-2x^2+5x-6=-4x^2+14x+12[/tex]

The roots are

[tex]-3,-2,3[/tex]

Answer:

-3,-2,3

Step-by-step explanation:

edge

Answer:

Present age of john= 24 years

Let Shane's age= x years

 Two years ago

John's age = 24-2= 22 years

Shane's age = (x-2) years

  Writing in terms of equation,to the above statements

⇒22= 2(x-2)

⇒22= 2 x- 4

⇒22+4 = 2 x

⇒ 2 x= 26

⇒ x= 26÷2

⇒ x =13

Present age of son = 13 years

answer B or 1/6  should be right.

Answer:  The correct option is

(B) [tex]\dfrac{1}{6}.[/tex]

Step-by-step explanation:  We are given to find the slope of the straight line shown in the graph.

From the graph, we see that the line passes through the points (-6, 3) and (12, 6).

The SLOPE of a line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

Therefore, the slope of the given line is

[tex]m=\dfrac{6-3}{12-(-6)}=\dfrac{3}{12+6}=\dfrac{3}{18}=\dfrac{1}{6}.[/tex]

Thus, the slope of the given line is [tex]\dfrac{1}{6}.[/tex]

Option (B) is CORRECT.

Answer:

Option C is the correct answer.

Explanation:

  Boxes collected by Mohammed = [tex]7\frac{1}{2}[/tex]

  Boxes collected by Isaac = [tex]8\frac{1}{3}[/tex]

  Boxes collected by Noah = [tex]4\frac{3}{4}[/tex]

  Boxes collected by Felix = [tex]3\frac{2}{3}[/tex]

 Total boxes collected = [tex]7\frac{1}{2}+8\frac{1}{3}+4\frac{3}{4}+3\frac{2}{3}[/tex]

                = [tex]\frac{15}{2}+\frac{25}{3}+\frac{19}{4}+\frac{11}{3}=\frac{36}{3} +\frac{49}{4} =\frac{97}{4}[/tex]

                = [tex]24\frac{1}{4}[/tex]

   Option C is the correct answer.

Since the amount of coworkers would be the variable in this expression, the equation would be 48-8x  

(X= number of coworkers)