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qaws [65]
4 years ago
5

The table shows the steps for solving the given inequality for x.

Mathematics
1 answer:
miv72 [106K]4 years ago
3 0
Step                                      justification

- 3 (4 - 6x) < x + 5            

- 12 + 18x < x + 5                 distributive property (to solve the left side)

-12 + 17x < 5                        subtraction property of equality (to transpose x
                                             from right to left side)

                                              subtraction of like terms (18x - x = 17x)

17x < 17                                addition property of equality (to tranpose - 12
                                              from left to right side)

                                              addition of like terms (12 + 5 =17)

x < 1                                      division property of equality



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If b=a-c are supplementary angle find the value of a​
leonid [27]

Answer:

a=b+c

Step-by-step explanation:

Dunno if that's what you're looking for, but that's what I got from what you gave

3 0
3 years ago
Negative 5 is fewer than 6 less than a number k
lara [203]

Answer:

k > 1 is the solution.

Step-by-step explanation:

We are given that 'Negative 5 is fewer than 6 less than a number k', so algebraically it means that - 5 < k - 6.

Then this is a linear inequality of single variable k and we have to solve it.

Now, we have

- 5 < k - 6

⇒ - 5 + 6 < k - 6 + 6 {Adding 6 to both sides}

⇒ 1 < k

⇒ k > 1

This is the solution of the given inequality. (Answer)

7 0
4 years ago
Contains the point (-1, 2) and is parallel to<br> x – 2y = -3
ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = \frac{1}{2} x + \frac{3}{2} ← in slope- intercept form

with m = \frac{1}{2}

• Parallel lines have equal slopes, thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - \frac{1}{2} + c ⇒ c = 2 + \frac{1}{2} = \frac{5}{2}

y = \frac{1}{2} x + \frac{5}{2} ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

4 0
3 years ago
How do you find an absolute value equation from a table? ​
Rina8888 [55]
X. 0,2,6,4,8,10
Y. 2,0,2,4,6,8

It’s how far the number is from zero
7 0
3 years ago
A cell phone package charges $39 even if 0 minutes are used during the month. Each additional minute of talk time adds $0.07.
Orlov [11]

Answer: the slope intercept form for this situation is y = 0.07x + 39

Step-by-step explanation:

The cell phone package charges $39 even if 0 minutes are used during the month. This means that the package has a constant charge of $39.

Each additional minute of talk time adds $0.07. Assuming x additional minutes of talk time is made, the total cost of x additional minutes of talk time would be

0.07x + 39

Let y represent the total cost of x additional minutes, then

y = 0.07x + 39

The equation for the slope intercept form is expressed as

y = mx + c

Where

m = slope

c = intercept.

Comparing with our equation,

The slope is 0.07 and the intercept is 39

7 0
3 years ago
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