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gayaneshka [121]
2 years ago
9

-3(2x+2)<10 thank you in advance

Mathematics
1 answer:
pshichka [43]2 years ago
6 0

-3(2x+2) < 10\\\\\implies -6x -6 < 10\\\\\implies -6x < 10 +6\\\\\implies -6x < 16  \\\\\implies x > -\dfrac{16}6\\\\\implies x > -\dfrac{8}3

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Which line has a slope of 1, and which has a slope of 2?
aleksley [76]

Answer:

Line "L" has the slope of 1 and line "K" has the slope of 2.

In order to graph a line with the slope of \frac{1}{3} think of the numerator as the "rise" (how much you move up/down on the y-intercept) and the denominator as the "run" (how much you move to the side on the x-intercept)

Step-by-step explanation:

A slope of "1" is simply \frac{1}{1} so you rise up one and move to the right once. This clearly demonstrated on line "L".

A slope of "2" is \frac{2}{1} so you rise up two and move to the right once, as is demonstrated on line "K".

For the 2nd question, line "A" will have a slope of \frac{1}{3} therefore it will move up once and then to the side three times. It will look like the image attached to this answer.

I hope this helped! Feel free to ask questions if needed!

6 0
3 years ago
for each babysitting job anna charges 2.50 for bus fare plus $8 per hours she worked. She charged 3.50 for her last babysitting
julsineya [31]
8x+2.50=3.50
-2.50 -2.50 subtract both sides by -2.50
8x=1
8. 8 divide both sides by 8
x=1/8
5 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.​
Aneli [31]

Answer:

y = -\frac{1}{5}x -1

Step-by-step explanation:

Given

The attached graph

Required

Determine the line equation

First, list out two points from the graph

(x_1,y_1) = (-5,0)

(x_2,y_2) = (0,-1)

Next, calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-1-0}{0 -(-5)}

m = \frac{-1}{0 +5}

m = -\frac{1}{5}

The equation in slope intercept form is:

y = m(x - x_1) + y_1

This gives:

y = -\frac{1}{5}(x - (-5)) + 0

y = -\frac{1}{5}(x +5)

Open bracket

y = -\frac{1}{5}x -1

4 0
3 years ago
The dimensions of a rectangle can be given by x+7 and x+2. If the area of the rectangle is 66 square inches, what are the dimens
Nadusha1986 [10]

to solve  for the dimensions (x+7)(x+2)=66,

we can first use the foiling method to simplify the left side.

x^2 + 2x + 7x + 14 = 66

x^2 + 9x + 14 = 66

now, subtract 66 from both sides.

x^2 + 9x - 52 = 0

now, split this into two parentheses.

(x + 13)(x - 4)

since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.

7 0
3 years ago
Use the Distributive Property to find the product.
tigry1 [53]
1) 4 divided by 7 = 0.57
2) 4 times 5 = 20 and 4 times 8 = 32
3) 20 plus 32 = 52
4) 0.57 times 52 = 29.64

5) answer : 29.64

i hope this is correct. i tried to break it down.
5 0
3 years ago
Read 2 more answers
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