Mathematics : asked on mackenziemelton26

02.04.2023

This table gives a few (x, y) pairs of a line in the coordinate plane -38 40 - 23 30 20 What is the intercept of the line?

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Mathematics

This table gives a few (x,y) pairs of a line on the coordinate plane x y -38 40 -23 30 -8 20 find the x intercept

Step-by-step answer

P Answered by PhD

The x-intercept is the point (22,0)

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take the points

(-38,40) and (-23,30)

substitute the given values

$m=\frac{30-40}{-23+38}$

$m=\frac{-10}{15}$

$m=-\frac{2}{3}$

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

$m=-\frac{2}{3}$

$point\ (-8,20)$

substitute

$y-20=-\frac{2}{3}(x+8)$

step 3

Find the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

For y=0

$0-20=-\frac{2}{3}(x+8)$

solve for x

$-20=-\frac{2}{3}x-\frac{16}{3}$

Multiply by 3 both sides

-60=-2x-16

$2x=60-16\\2x=44\\x=22$

therefore

The x-intercept is the point (22,0)

Mathematics

This table gives a few (x,y) pairs of a line on the coordinate plane x y -38 40 -23 30 -8 20 find the x intercept

Step-by-step answer

P Answered by PhD

The x-intercept is the point (22,0)

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take the points

(-38,40) and (-23,30)

substitute the given values

$m=\frac{30-40}{-23+38}$

$m=\frac{-10}{15}$

$m=-\frac{2}{3}$

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

$m=-\frac{2}{3}$

$point\ (-8,20)$

substitute

$y-20=-\frac{2}{3}(x+8)$

step 3

Find the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

For y=0

$0-20=-\frac{2}{3}(x+8)$

solve for x

$-20=-\frac{2}{3}x-\frac{16}{3}$

Multiply by 3 both sides

-60=-2x-16

$2x=60-16\\2x=44\\x=22$

therefore

The x-intercept is the point (22,0)

Mathematics

HELP PLS TIMED This table gives a few (x,y) pairs of a line in the coordinate plane. x y -38 40 -23 30 -8 20 What is the x intercept of the line? (*blank* , *blank*)

Step-by-step answer

P Answered by PhD

The x intercept of the line is (22,0)

Mathematics

This table gives a few ( x , y ) (x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane. (-38,40) (-23,30) (-8,20)

Step-by-step answer

P Answered by PhD

The given points are A(-38,40) B(-23,30) and C(-8,20)

Equation of the line AB can be calculated as

y - y1 = (y2-y1)/(x2-x1) (x-x1)

y - 40 = -10/15 (x+38)

3y - 120 = -2x - 76

3y+2x = 44

x-intercept = 44/2 = 22

y-intercept = 44/3

slope = -2/3

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

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Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

Step-by-step answer

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A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?

Step-by-step answer

P Answered by PhD

The total nom of code that can be used is equal to 5+3 = 8

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

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