MATHEMATICS MIDDLE SCHOOL

This table gives a few (x,y) pairs of a line in the coordinate plane what is the y-intercept of of the line?

Answers

Answer 1

Answer:

Answer:

y intercept is -23

Step-by-step explanation:

Here we are given three coordinates and are asked to find y intercept of the line passing through these points.

We thus find the equation of this line by two point form

the form says

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

Here (x1,y1) = ( -36 , 1 )

and (x2,y2) = ( 13,-54)

Substituting the values we get

(y-1)(x+36)=(1-13)/(-36-(-54))

(y-1)(x+36)=(-12)/(-36+54)

(y-1)(x+36)=(-12)/(18)

y-1=-2/3 ( x+36)

In order to determine the y intercept we are required to leep x = 0 in above equation and solve for y

y-1 = -2/3 (0+36 )

y-1= (-2/3) x (36 )

y-1 = -2 x 12

y-1 = -24

adding 1 on both hand sides

y = -24 +1

y=-23

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Please help quickly!!! Which equation shows the correct use of the Power of Products Property?
A. (2x^5y^2)^3=6x^5y^2
B. (2x^5y^2)^3=6x^15y^6
C. (2x^5y^2)^3=8x^8y^5
D. (2x^5y^2)^3=8x^15y^6

Answers

Answer:

Option D is correct.

$(2x^5y^2)^3= 8x^(15)y^6$

Step-by-step explanation:

Power of product property:

$(x^m)^n = x^(mn)$

$(ax)^m = a^m \cdot x^m$

Let the equation: $(2x^5y^2)^3$

Using power of products Property on given equation:

$(2x^5y^2)^3$ = $2^3 \cdot (x^5)^3 \cdot (y^2)^3 = 8 \cdot x^(15) \cdot y^6 = 8x^(15)y^6$

Therefore, the only option D of an equation which shows the correct use of power of Products property is, $(2x^5y^2)^3= 8x^(15)y^6$

$(2x^5y^2)^3=2^3 * (x^5)^3 * (y^2)^3=8 * x^(5 * 3) * y^(2 * 3)=8x^(15)y^6$

The answer is D.

Rupert drove home at an average rate of 58 miles per hour. Find his rate in feet per second.

Answers

To find this, you must first multiply 58 by the number of feet in a mile, 5280, to get a total number of feet. This comes out to 306,240 feet per hour. Next, you divide this by 60, since there are 60 minutes per hour, to find the rate of feet per minute, which comes out to 5,104 feet per minute. Finally, you divide this number by 60 again, since there are 60 seconds per minute, to get the final answer of a rate of about 85.0666... feet per second.

What is the answer to 453 divided by 8.

Answers

the answer of 453 divided by 8 is 56,625.

The answer is 453 divide by 56.625...

The average number of moves a person makes in his or her lifetime is 12. If the standard deviation is 3.2, find the probability that the mean of a sample of 36 people is less than 10.

Answers

Answer:

0.0001

Step-by-step explanation:

The average number of moves a person makes in his or her lifetime is 12.

We want to find the probability that the mean of a sample of 36 people is less than 10, if the standard deviation is 3.2.

We calculate the z-score using the formula:

$z=( \bar \: X-\mu)/((\sigma)/(√(n)))$

We substitute the values to get:

$z=(10-12)/((3.2)/(√(36)))$

We simplify to get;

$z=( - 2)/((3.2)/(6)) = - 3.75$

From the standard normal distribution table we read -3.7 under 5 to obtain the area to the left of -3.75 as 0.0001

Write an algebraic expression for 15 decreased by twice a number

Answers

15-2x= that would be the algebraic equation. Remember that decrease usually means minus. A number is always represented by a variable, and then anything that by is usually a multiplication or division depending on how its stated.

An algebraic expression is, obviously, an expression with a variable.

"A number" would represent a variable, which, in this case, we'll use y.

So, 15 decreased by twice x.
15 - y x 2 =

I hope this helped :)

Rectangle has an area of 30 sq. meters and a perimeter of 34 meters

Answers

the side are 15,15,2,2 because if one side is 30 the other side should be 30 not one so that os wrong this is the correct answer.
area=15×2=30 sq. meters
perimeter=15+15+2+2=34

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