HELP!!!
write the linear equation of the given table

Answer:

Step-by-step explanation:

[tex]\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6[/tex]

Answer:

We expect 900 students to borrow library books

Step-by-step explanation:

Proportions

If two variables are proportional, then one of them can be obtained as the other times a fixed number.

If x and y are proportional, then:

y=k.x

Where k is the constant of proportionality

The value of k can be obtained by dividing y/x.

That division, also called ratio gives us the proportion to be applied to future calculations.

In Sophia's class, 3 out of 4 students borrowed library books.

This gives us a proportion ratio of 3/4.

If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have

3 / 4 * 1200 = 900 students borrowing library books.

We expect 900 students to borrow library books

Answer:

118 r0

Step-by-step explanation:

590/5=118

there is no remainder

hope this helps :3

if it did pls mark brainliest

Answer:

1. x is greater than -1

2. x is less than or equal to -1

3. x greater than or equal to -1

4. x is less than -1

Step-by-step explanation:

The filled in dots means it could be equal to, non-filled dots mean it can only be greater or less. When the variable is first, look at the direction of the line

You should join my zoom call

Answer:

(0,-2) and (1,1)

Step-by-step explanation:

The solution points at the intersection of what is above the orange line and belothe blue line.

(-5, 5) is only in the orange zone so X

(0,3) is on the blue line that is doted so X

(0,-2) is on the orange line that is solid so ✅

(1,1) is in the orange and blue so ✅

(3,-4) is in the blue zone only so X

Answer:

hoi

Step-by-step explanation:

Answer:

a = 11 , b = 2

Step-by-step explanation:

[tex]\frac{(4-\sqrt{5})(4+\sqrt{5}) }{2\sqrt{11}} = \frac{ \sqrt{a}}{y} \\Hence,\\\frac{4^2-(\sqrt{5})^2 }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{16-5}{2\sqrt{11} } = \frac{ \sqrt{a}}{y}\\\frac{11}{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11}*\sqrt{11} }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11} }{2} = \frac{ \sqrt{a}}{y}\\a=11,b =2[/tex]

Answer:he would miss three times

Step-by-step explanation:because he missed once every 3 times so which would equal 2.5 which i will round up to 3 to get my answer.

Answer:

x-intercept= ( 0.9, 0)

y-intercept= (0,-3)

Step-by-step explanation:

Graph out the equation and look for the x and y intercept.

Given :

Greg earns a salary of $300 per week plus an additional  6% commission on his sales.

To Find :

If his weekly salary  increases by $50 and his commission increases to 7%  how much will Greg earn if his weekly sales are  $4,000.

Solution :

New weekly salary, S = $( 300 + 50 ) = $350 .

New commission on $4000 sales :

[tex]C=\dfrac{4000\times 7}{100}= \$280[/tex] .

Therefore, total earning T = S + C = $( 350 + 280 ) = $630 .

Hence, this is the required solution.

Answer:

Associative Property

Step-by-step explanation:Because it includes grouping of three numbers and the parentheses group around two different numbers

Answer:

a,b,c,f

Step-by-step explanation:

The data described on the dot plot will be spread, gap, peak, and cluster. Then the correct options are A, B, C, and F.

A statistical chart called a dot chart or dot plot is made up of data points that are represented on a very basic scale, usually using filled-in circles. The dot chart comes in two widely used but quite different forms.

A statistical chart made up of data points drawn on a relatively basic scale is known as a dot diagram, sometimes known as a dot plot. One of the simplest statistical plots is the dot plot, which is typically applied to tiny data sets. They can be used to draw attention to outliers, gaps skew in the distribution and clusters.

The data described on the dot plot will be spread, gap, peak, and cluster. Then the correct options are A, B, C, and F.

More about the dot plot link is given below.

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Answer:

3

Step-by-step explanation:

The linear function or equation in the slope-intercept form will be y = -4x - 5.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

The linear function is given as,

y = mx + c

Here, m is the slope while c is the y-intercept.

Slope m = (-13 + 9)/(2 - 1)

m = -4

Put m = -4, (1,-9)

-9 = -4(1) + c

c = -5

y = -4x - 5

Hence "The linear function or equation in the slope-intercept form will be y = -4x - 5".

For more about the linear function,

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Answer:

top graph

Step-by-step explanation:

The graph of a proportional relationship is a straight line passing through the origin.

The only straight line graph passing through the origin is the top one

The graph on option A displays a proportional relationship.

Option A is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line on the graph is given as:

y = mx + c ____(1)

The graph on option A.

If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.

We will select two points on the graph.

i.e

(2, 2) = (a, b) and (3.3) = (c, d)

Slope:

m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1

Let (2, 2) = (x, y) and putting in (1) we get,

2 = 1 x 2 + c

2 = 2 + c

c = 2 - 2 = 0

c = 0

The slope of the line is 1

The equation of the line is y = x

Thus,

The graph displays a proportional relationship.

Option A is the correct answer.

Learn more about equation of a line here:

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Answer:

y = 1/4 x - 31/4

Step-by-step explanation:

Slope (m) = 1/4

Point A (-1, -8)

y = mx + b

-8 = 1/4 (-1) + b

-8 + 1/4 = b

b = -32/4 + 1/4

b = -31/4

y = mx + b <-- this is a linear equation, continuing line, so there are infinite values for x and y. Therefore we don't have to plug the values of x and y in

y = 1/4 x + - 31/4

y = 1/4 x - 31/4

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)[/tex]

To make this easier, to get ride of the fractions, we can multiply both sides by 4

[tex]2(x+15) = 8 + 3(x-4)[/tex]

now use the distributive property

[tex]2x + 30 = 8 + 3x - 12\\[/tex]

now we want to isolate x to one side and isolate all the constants to the other

[tex]2x - 3x = 8 - 12 - 30\\[/tex]

now simplify

[tex]-x = -34\\x = 34[/tex]

to test, we can plug in back to the original

[tex]\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}[/tex]

it works

Answer:

2 and - 1

Step-by-step explanation:

Calculate the gradients using the slope formula

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

with (x₁, y₁ ) = (- 2, -3) and (x₂, y₂ ) = (3, 7) ← 2 points on line A

[tex]m_{A}[/tex] = [tex]\frac{7+3}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (7, - 2) ← 2 points on line B

[tex]m_{B}[/tex] = [tex]\frac{-2-7}{7+2}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1

Answer:

653

Step-by-step explanation:

Answer:

I believe its A. 7/16 inches per hour

Step-by-step explanation:

This is wrong don't put this

Answer: 6/9

Step-by-step explanation:

1) 2/3 + 3/4=5/7

2) 1/2+5/7=6/9

3) Did this help

Answer:

$2.69

Step-by-step explanation:

here is with distribution...

1. add all the original prices together

2.50+4.95+6.00=13.45

2. multiply that sum(13.45) by 0.2(0.2 IS THE 20% OFF)

13.45x0.2=2.69

FINAL ANSWER: $2.69

See attachment for math work and answer.

Answer:If you’re doing edge I can give you tips.

Step-by-step explanation:

Answer:

what do u need help with

Step-by-step explanation:

calm down! its gonna be all good

Answer:

The amount of water leaking per hour is 3/4 of the bucket volume

Step-by-step explanation:

The given parameters are;

The volume of water in the bucket = 3/10 of the bucket volume

The time duration of the leak = 2/5 hour

Therefore;

The leak rate = Volume/Time

The amount of water leaking per hour = (3/10 of the bucket volume)/(2/5 hour)

The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume/hour.

The amount of water leaking per hour is  [tex]\frac{3}{4}[/tex] of the bucket volume.

Given ;

The volume of water in the bucket =  [tex]\frac{3}{10}[/tex] of the bucket volume

The time duration of the leak =  [tex]\frac{2}{5}[/tex] hour

Therefore;

The leak rate = [tex]\frac{volume }{time}[/tex]

The amount of water leaking per hour = ( [tex]\frac{3}{10}[/tex] 0f the bucket volume)/([tex]\frac{2}{5}[/tex] hour)

                                                                =  ( [tex]\frac{3}{10} . \frac{5}{2}[/tex] ) volume per hour

The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume per hour.

For more details about volume and rate change click the link given below.

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Answer:

nonlinear

Step-by-step explanation:

sorry if im wrong

Answer:

Linear

Have a great day! :)

Answer:

The probability that the next customer will pay with credit card is approximately 0.33

Step-by-step explanation:

The given parameters are;

The number of customers that paid cash = 80 customers

The number of customers that used a debit card = 7 customers

The number of customers that used a credit card = 42 customers

The total number of different payments made = 80 + 7 + 42 = 129 payment

Probability = The number of desired outcome/(The number of possible outcome)

The probability that the next customer will pay with credit card = (The number of customers that used a credit card)/(The total number of different payments made)

∴ The probability that the next customer will pay with credit card = 42/129 ≈ 0.33 to the nearest hundredth.

Step-by-step explanation:

3+5=8

40÷8=5

5x5=25 girls

5x3=15

Answer:

the number of girls are 16

Answer:8x^2-4x-5

Step-by-step explanation:just subtract

Answer:

I got 8x^2-4x-5 but I'm not super sure

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

22.00*0.08=1.76

22.00+1.76 = 23.76

Answer:

c

Step-by-step explanation:

22*0.08=1.76

the total would be the cost plus tax

22+1.76=23.76

hope this helps :3