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3 years ago

What is x in the problem 1/9 (x - 7) = 4

Mathematics

1 answer:

stich3 [128]3 years ago

3 0

Answer:

Step-by-step explanation:

open the brackeet

X-7/9=4

X-7=4×9

X-7=36

X=36+7

X=43

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100 Points! What are the classifications of each system?

alexdok [17]

Answer:

Part 1) Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .

If a consistent system has exactly one solution, it is independent .

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

$x+5y=-2\\x+5y=4$

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

The lines don't intersect

The system has no solution

therefore

Is a inconsistent system

Part 2) we have

$y=3x+4\\-2x+y=4$

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes (m=3 and m=2)

The lines intersect at one point

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

$3x+y=4$ ----> equation A

$-6x-2y=-8$ ----> equation B

Multiply equation A by -2 both sides

$-2(3x+y)=-2(4)$

$-6x-2y=-8$ ----> equation C

Compare equation B and equation C

Are identical lines

The system has infinity solutions

therefore

Is a consistent dependent system

4 0

3 years ago

Given a rectangle with an area of 20 square units, if the width is x units and the length is x + 1 units, what is the difference

ollegr [7]

Answer: 1unit.

Step-by-step explanation:

Area of the rectangle

A = length × width

Since the area = 20 and the width is x and the length is x + 1.

We now substitute for the values in the above formula and solve for x

20 = x × x + 1

20 = x( x + 1 ), we now open

20 = x² + x , then re arrange.

x² + x - 20 = 0, this is a quadratic equation.we solve for x using quadratic means

Here, I am going to solve using factorization by grouping

x² + x - 20 = 0

x² + 5x - 4x - 20 = 0

x( x + 5 ) - 4( x + 5 ) = 0

( x + 5 )( x - 4 ). = 0

Therefore, the solution for x will be

x = -5 or 4, but x can not be -5 ( negative), so x = 4.

Now the difference between width and the length can easily be calculated from the above,

Width = 4 (x) , and length = 5 (4 + 1),

Now difference will be

5 - 4 = 1unit.

5 0

3 years ago

What is the interest you will pay if you borrowed $1,250 at 4% interest for 4 years?

AleksAgata [21]

Answer:

$200

Step-by-step explanation:

The formula for calculating interest = principal x interest rate x time

principal is the amount borrowed = $1250

interest rate = 4%

Time = amount of years the money is borrowed for

$1250 x 0.04 x 4 = $200

8 0

3 years ago

Read 2 more answers

This graph represents

hram777 [196]

It is C (2, 1) I think it is because they intersect

8 0

3 years ago

5x^2 -15x-140 what method should be use?

elena55 [62]

5x^2 -15x-140

5(x² -(3x) -28)

5(x² +(4x-7x)-28)

5(x(x+4) -7(x+4)

5(x-7)*(x-4)

8 0

3 years ago