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Rom4ik [11]
2 years ago
5

Determine the number of solutions for the equation 1 - 3(x - 2) = 7 - 3x

Mathematics
2 answers:
faltersainse [42]2 years ago
8 0
I would say you have an infinite number of solutions for this equation. This is because when you expand the bracket on the left, you get 1 - 3x + 6 which is 7 - 3x, which is the same as on the right. The reason the solutions would be infinite is because they're multiplied by the same thing and added to the same thing, so they're always gonna be the same.

I hope this helps!
VMariaS [17]2 years ago
7 0

Answer:

 

infinite solutions

Step-by-step explanation:

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bx^2+32x=4x(x-a)\\ bx^2+32x=4x^2-4ax\\\\ b=4\\\\ -4a=32\\ a=-8\\\\ \boxed{ab=-8\cdot4=-32}

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1/2x=5/4 solve the equation and inequalities
aivan3 [116]

The equation is simplified to x = 3/2

<h3>What are linear equations?</h3>

Linear equations are equations with the highest power of a variable as 1

Given the equation;

1/ 2x = 5/ 4

cross multiply

4 × x = 2 × 5

4x = 10

Make 'x' the subject

x = 10/ 4

Reduce to simplest term

x = 3/ 2

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Complete the equivalent ratio. How many ounces are in 2 cups?
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2 years ago
Solve: 3 x (8 + 2) ÷ 2
kobusy [5.1K]

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8 0
3 years ago
1. What is the area of a circle with a diameter of 12.6 in.?
Rudik [331]

Answer:

Part 1) A=124.63\ in^{2}

Part 2) Option b

Part 3)  As n increases,  ns get closer to 2\pi r  

Part 4) Option c 16\pi\ ft^{2}

Part 5) Option b. 12.25\pi\ m^{2}

Step-by-step explanation:

Part 1) What is the area of a circle with a diameter of 12.6 in.?

we know that

the area of a circle is equal to

A=\pi r^{2}    

we have

r=12.6/2=6.3\ in -----> the radius is half the diameter

substitute the values

A=(3.14)(6.3^{2})=124.63\ in^{2}  

Part 2) Which explanation can be used to derive the formula for the circumference of a circle?

First find the relationship of the circumference to its diameter by finding that the length of the diameter wraps around the length of the circumference approximately ​ π ​ times.

Use this relationship to write an equation showing the ratio of circumference to diameter equaling ​ π

so

\frac{C}{D}=\pi

Rearrange the equation to solve for the circumference

C=\pi D

Substitute the diameter for 2 times the radius

D=2r

C=2\pi r                      

Part 3)  we know that

If n increases

then

the product ns get closer to the circumference of the circle

so

the circumference of a circle is equal to C=2\pi r  

therefore

As n increases,  ns get closer to 2\pi r        

Part 4) What is the area of a circle whose radius is 4 ft?

we know that

the area of a circle is equal to

A=\pi r^{2}

we have

r=4\ ft

substitute the values

A=(\pi)(4^{2})=16\pi\ ft^{2}

Part 5) The circumference of a circle is 7π m.

What is the area of the circle?

we know that

The circumference of a circle is equal to

C=2\pi r

we have

C=7\pi\ m

substitute and solve for r

7\pi=2\pi r

r=3.5\ m

Find the area of the circle

the area of a circle is equal to

A=\pi r^{2}

substitute

the area of a circle is equal to

A=\pi (3.5^{2})=12.25\pi\ m^{2}

3 0
2 years ago
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