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Ostrovityanka [42]
3 years ago
13

(2x + 3) - (-8 - 2x)

Mathematics
1 answer:
masha68 [24]3 years ago
7 0

Answer: 4x+11

Step-by-step explanation: Distribute the negative to the -8 and -2x. This will make 2x+3+8+2x. Combine like terms and you will get 4x+11. Hope this helps!

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State the range of possible values for x if (3x+5)(x-1) < 2x+7
lara31 [8.8K]

we are given with the inequality

(3x+5)(x-1) < 2x+7\\ \\

Open the parenthesis we get on left side we get

(3x+5)(x-1) < 2x+7 =3x^2-3x+5x-5

8 0
3 years ago
Consider the line 7x+9y=5
alisha [4.7K]

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

Step-by-step explanation:

We know the slope-intercept form

y=mx+b

Here,

  • m is the slope
  • b is the y-intercept

Given the equation

7x+9y=5

simplifying to write in the lope-intercept form

y=-\frac{7}{9}x+\frac{5}{9}

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

  • We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

4 0
3 years ago
Which of the following is the graph of f(x) = 3 sin (2x)? (2 points)
TEA [102]

Answer:

Step-by-step explanation:

4 0
3 years ago
suppose Tomas buys a total of 30 baseball and football cards in week 5 . how many of each would he have to buy to keep the same
Charra [1.4K]

Answer:

  • 18 baseball cards
  • 12 football cards

Step-by-step explanation:

The only relationship shown in the table is in week 1, where the ratio of baseball to football cards is ...

  baseball : football = 9 : 6

In week 1, the total of these numbers is 15. You want the total in week 5 to be 30, double the total in week 1. So, Thomas needs to purchase double the numbers he purchased in week 1:

  • 18 baseball cards
  • 12 football cards

_____

<em>Comment on the attachment</em>

This table came from another question you posted, a question with no content other than the table. The blue numbers are blanks in the original table that have been filled in so as to keep the same 3:2 proportion in each week. They appear to have no bearing on this question.

7 0
3 years ago
Write an equation of the line passing through points (5, -4) and (2, 8) and has a y-intercept of -2.
Anvisha [2.4K]

Answer:

The slope would be 4/-3

Step-by-step explanation:

8-(-4)

= 4/-3

2-5

3 0
2 years ago
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