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3 years ago

Solve the following equations below by showing all the steps. - 1. 9(4 - 2x) – 3 = 4 - 6(3x – 5)

Mathematics

1 answer:

In-s [12.5K]3 years ago

6 0

Answer:

No real solution

Step-by-step explanation:

First off I'm assuming that the 1 or -1 at the begging is just the problem number:

First you distribute on both sides

36 - 18x - 3 = 4 - 18x + 30

Then combine like terms

33 - 18x = 34 - 18x

Then rearrange the terms by adding 18x to both sides and subtracting both sides by 33. You should get:

0 = 1

When you add positive 18x it cancels the -18x out. And 34 - 33 is 1. Obviously, zero cannot equal 1 so there is no real solution

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Simplify the expression: 4(x + 3) = 40

diamong [38]

Answer:

x=7

Step-by-step explanation:

4x+12=40

-12

4x=28/4

8 0

2 years ago

Read 2 more answers

An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number

vovikov84 [41]

Answer:

The number of key rings sold on a particular day when the total profit is $5,000 is 4,000 rings.

Step-by-step explanation:

The question is incomplete.

An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number of key rings is given by

$P=n^2-2n-3$

where n is the number of key rings in thousands.

Find the number of key rings sold on a particular day when the total profit is $5,000.

We have the profit defined by a quadratic function.

We have to calculate n, for which the profit is $5,000.

$P=n^2-2n-3=5\\\\n^2-2n-8=0$

We have to calculate the roots of the polynomial we use the quadratic equation:

$n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\n= \frac{-2\pm\sqrt{4-4*1*(-8)}}{2}= \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{36}}{2} =\frac{-2\pm6}{2} \\\\n_1=(-2-6)/2=-8/2=-4\\\\n_2=(-2+6)/2=4/2=2$

n1 is not valid, as the amount of rings sold can not be negative.

Then, the solution is n=4 or 4,000 rings sold.

7 0

3 years ago

Solve each system of equations using matrices. -2x = -6y + 8 2y = x + 1

Elden [556K]

Answer: 1.) x - 2y = 4 , add 2y to both sides. ---> answer is, X = 2y + 4

2.) 2x - 6y = 8, Add 6y to both sides, then divide both sides by 2. --> answer is, X = 3y + 4

6 0

2 years ago

The measures of two supplementary angles are (2x – 8)° and (3x - 2)°. What is the measure of the

saw5 [17]

Answer:

68°

Step-by-step explanation:

Here,

Two supplementary angles are (2x – 8)° and (3x - 2)°.

As we know that the sum of two supplementary angles are 180°. So,

→ (2x – 8)° + (3x – 2)° = 180°

→ 2x° – 8° + 3x° – 2° = 180°

→ 5x° – 10° = 180°

→ 5x° = 180° + 10°

→ 5x° = 190°

→ x = 190° ÷ 5°

→ x = 38°

Supplementary angles are,

1st angle = (2x – 8)°

→ 2(38°) – 8

→ (76 – 8)°

→ 68°

2nd angle = (3x – 2)°

→ 3(38°) – 2

→ (114 – 2)°

→ 112°

Therefore, the measure of the smaller angle is 68°.

4 0

2 years ago

Evaluate 6 - 2(-1) +1-51 = 09 01 13

Elenna [48]

Answer might be 9 due to my algebra teacher

7 0

3 years ago