Find the slope of through the two points (3,4) and (-2,3).

Answer:

A. Y = 144/x

Step-by-step explanation:

Inversely means y = 1/x

If y = 48, when x = 3

so 144/3 = 48

Therefore the answer is A

If the  value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3

A relation is a function if it has only One y-value for each x-value.

If y varies inversely with x, it means that y is inversely proportional to x, or y=k/x, where k is a constant of proportionality.

To find k, we can use the given values of y and x:

y = k/x

48 = k/3

k = 144

Now that we know k, we can write the function that represents the relationship between x and y:

y = 144/x

Therefore, if the  value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3

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Answer:

EZ Excavation: y = 24.5x

Happy Hauling Service: y = 25x

Step-by-step explanation:

✔️Equation for EZ Excavation:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using any given pair of values from the table, say, (8, 196),

k = 196/8

k = 24.5

To write the equation, substitute k = 24.5 into y = kx

Thus:

y = 24.5x

✔️Equation for Happy Hauling Service:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using the coordinate of any point on the line, say (1, 25),

k = 25/1

k = 25

To write the equation, substitute k = 25 into y = kx

Thus:

y = 25x

Answer:

[tex]8*12[/tex]

Step-by-step explanation:

First, the problem asks for an expression; this means that there should be no equal sign. Also, the keyword "product" means that both the terms must be multiplied. So, [tex]8*12[/tex] is the final expression; this equals 96.

Answer:

9x+6

Step-by-step explanation:

Answer:

401(k) plan

Step-by-step explanation:

The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $

Answer:

43

Step-by-step explanation:

g(x)=4x+3

plug in 10

g(10)= 4(10)+3

      = 40+3

      = 43

Answer:

Sorry I just needed points

Step-by-step explanation:

Answer:

volume is equal to ratio

Answer:

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

C, you can use rotations to describe a change in the position of a figure.

Answer:

d

Step-by-step explanation:

Answer:

13.9

Step-by-step explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

Answer:

Step-by-step explanation:

Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)

-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k

                                        = -4k² + 13k + 12 +5k² - 8k

Combine like terms,

                                        = -4k² + 5k² + 13k - 8k + 12

                                       = k² + 5k + 12

Like terms are the terms with same variable with same exponent.

(-4k² ) and 5k² are like terms

13k and (-8k) are like terms

Answer:

50/100 x X = 1.5

x 100       x100

50x = 150

÷50   ÷50

X = 3

X = 3 liters I am pretty sure

Hey there,

Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].

x² + y² + 4x + 8y = -11

(x² + 4x) + (y² + 8y) = -11

(x + 2)² + (y + 4)² = 9

If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.

(x - (-2))² + (y - (-4))² = 3²

Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.

Best of Luck!

Answer:

[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]

[tex] \text{redius} : 3[/tex]

Step-by-step explanation:

we are given a circle equation

[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]

we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by

[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]

general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:

[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]

where:

notice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious

indentifying centre and redious:

rearrange:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]

cancel 11 from both sides:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]

add 4 to the both sides so that the equality don't affect:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]

simplify addition:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]

once again to complete the square add 16 to both sides which yields:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]

complete the squares by using (a+b)²=a²+2ab+b² pattern:

[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]

we can still rewrite it to figure out the redious and the centre:

[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]

therefore we obtain:

and we are done!

Answer:

I hope you got an answer dude

Answer:

p/rn to the third root of 1^rnt

Step-by-step explanation:

I just this on my edmentum/ plato course so its right

Answer:

Step-by-step explanation:

The first is 2, the second is 6 and the third is 14.

Answer:

y=3x+1

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept

the formula for slope (m) is given as (y2-y1)/(x2-x1)

we can pick any 2 points to use to find the slope. For example, let's use (2,7) and (3,10)

label the points:

x1=2

y1=7

x2=3

y2=10

now substitute into the formula:

m=(y2-y1)/(x2-x1)

m=(10-7)/(3-2)

m=3/1

m=3

the slope of the line is 3

here's our equation so far:

y=3x+b

now we need to find b (y intercept)

because the line will pass through any of the points given on the table, we can use any one of the given points to solve for b

Let's take (2,7) though since it's the first point

substitute 2 as x and 7 as y in the equation

7=3(2)+b

7=6+b

1=b

so our equation is y=3x+1

Hope this helps! :)

Answer: y = 10x + 30 is the correct answer

Answer:

arc RS = 116°

Step-by-step explanation:

Since the 2 chords are congruent then their minor arcs are congruent, that is

SR = TU, substitute values

6x - 28 = 4x + 20 ( subtract 4x from both sides )

2x - 28 = 20 ( add 28 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°

x² + 8² = 10²

x² + 64 = 100

x² = 100 - 64

x² = 36

x = 6

Answer:

The car is worth $4250 now and it decreased by $750

Step-by-step explanation:

5000* .85 is 4250

Answer:

15

Step-by-step explanation:

Tuesdays interquartile range is 45, and monday's is 30. 45 - 30 = 15. Hope this helps!

Answer:

314

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

4

Squiggles

Step-by-step explanation:

steps

1 feet = 12 inches

2 feet = 2 x 12 = 24 inches

length of squiggles = 24 + 10 = 34 inches

squiggles is longer because 34 is greater than 30

difference = 34 - 30 = 4

Answer:

B is the correct answer I believe..

Step-by-step explanation:

Answer: I strongly believe it is B

Step-by-step explanation: