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2 years ago

Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?

Mathematics

1 answer:

Svetlanka [38]2 years ago

7 0

Answer:

Step-by-step explanation:

The first equation has a y-intercept of -3. Only one line does.

The second equation has a y-intercept of +1. Only one line does.

The point of intersection of those two lines is the point labeled C. That has coordinates that satisfy both equations. (The point is on both lines.)

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How many centimeters are in 8 meters?

Law Incorporation [45]

Answer:

800 centimeters.......

3 0

2 years ago

The flow rate for a water pump is 87.4 gallons in 15 minutes. At that rate, how much water will be pumped into a swimming pool p

Savatey [412]

Answer: 349.6 gallons

Step-by-step explanation:

This is a simple proportion problems.

The flow rate = 87 . 4 gallons was dispensed in 15 minutes

That is 15 minutes = 87.4 gallons

Therefore 1 minute = ( 87.4/15 ) gallons

Recall 60 minutes = 1 hour

Now in 60 minute = (87.4/15 ×60/1 ) gallons

= 87.4 × 4

= 349.6 gallons

(Invariably) , Alternative method

15 minutes. = 1/4 of an hour 1/4 = 87 .4 gallons. A gallon. = 87.4/1/4

Recall that reciprocal of 1/4 = 4

Now = 87 .4/1/4

=87.4 × 4

Therefore 1 hour = 87.4 × 4 × 1

= 349 . 6 gallons

7 0

3 years ago

Thirty is 150% of what number?

attashe74 [19]

Answer

thirty is 150% of 20 :)

5 0

3 years ago

Read 2 more answers

Find the surface area of this rectangular prism.

Alexeev081 [22]

Answer:

Surface area of the rectangular prism= $168 yards^2$

Step-by-step explanation:

Given Dimensions of the rectangular prism are:

$Length(L)= 9 yards\\\\Width(w)=2 yards \\\\Height(H)= 6 yards$

Surface Area of a rectangular prism=

$2(L*W+W*H+H*L)\\\\ =2(9*2+2*6+6*9)\\\\ =2(18+12+54)\\\\ = 2(84)\\\\$

= $168 yards^2$

The surface area of the rectangular prism is $168 yards^2$

5 0

3 years ago

Use the graph to write the explicit rule of the arithmetic sequence.

Igoryamba

Answer:

$f_n=7+\left(-2\right)\left(n-1\right)$

Therefore, option C is true.

Step-by-step explanation:

From the graph, we get the sequence

7, 5, 3, 1, ...

Here,

a₁ = 7 is the first element.

An arithmetic sequence has a constant difference 'd' and is defined by

$f_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$5-7=-2,\:\quad \:3-5=-2,\:\quad \:1-3=-2$

The difference between all the adjacent terms is the same and equal to

$d=-2$

substituting a₁ = 7 and d = -2 in the nth term of the sequence

$f_n=a_1+\left(n-1\right)d$

$f_n=7+\left(-2\right)\left(n-1\right)$

Therefore, option C is true.

6 0

3 years ago