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Reika [66]
3 years ago
11

Can some help me with this problem

Mathematics
1 answer:
nasty-shy [4]3 years ago
3 0

Answer:

The range is \{-9,-8,-7,-6,-5\}

The graph in the attached figure

Step-by-step explanation:

we have

y=x-7

The domain is the interval \{-2,-1,0,1,2\} ----> given problem

Remember that

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

To find out the range of the function , find the value of y for each value of x

so

For x=-2 ----> y=-2-7=-9

For x=-1 ----> y=-1-7=-8

For x=0 ----> y=0-7=-7

For x=1 ----> y=1-7=-6

For x=2 ----> y=2-7=-5

therefore

The range is \{-9,-8,-7,-6,-5\}

The graph in the attached figure

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What is an equation of the line that passes through the points (-6, -2) and
den301095 [7]

Answer:

The equation of line is: \mathbf{4x-3y=-18}

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and  (-3, 2)?

The equation of line in slope-intercept form is: y=mx+b

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=-6,y_1=-2, x_2=-3, y_2=2

Putting values and finding slope

Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}

So, we get slope: m=\frac{4}{3}

Finding y-intercept

Using point (-6,-2) and slope m=\frac{4}{3} we can find y-intercept

y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope m=\frac{4}{3} and y-intercept b = 6 is

y=mx+b\\y=\frac{4}{3}x+6

Now transforming in fully reduced form:

y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18

So, the equation of line is: \mathbf{4x-3y=-18}

6 0
3 years ago
Find the length of the missing side. 1. a = 16, b = 63 2. b = 2.1, c = 2.9
gayaneshka [121]
This problems needs an image!!
4 0
3 years ago
I am doing online class and I am looking for a little help please
kati45 [8]
The domain is about how far left-to-right the graph goes.
In relation to the x-axis, the graph starts at x = –3 (with an open circle at –3) and then continues over to the right forever.
This is the shown in the picture with the red markup.
In interval notation, this is (-3, infinity).

Remember to use that left-to-right orientation for interval notation!

The range is in turn about how low to how high the graph goes.
On the graph, I’d do the same thing I did on the red marked up graph and compare the graph to the y-axis.
The graph starts down at y = –5 (with an open circle at –5) and then continues on up forever.
In interval notation, this is (-5, infinity).

4 0
3 years ago
a store is having a clearance sale where merchandise on the sales racks is reduced by 80% from the original. if a jacket was ori
posledela

The sales price is $15.2

Step-by-step explanation:

Given,

Discount = 80%

Original price = $76

Discount price = 80% of original price

Discount\ price=\frac{80}{100}*76\\Discount\ price=\frac{6080}{100}\\Discount\ price=\$60.8

Sale's price = Original price - Discount price

Sale\ price= 76-60.8\\Sale\ price= \$15.2

The sales price is $15.2

Keywords: Subtraction, percentage

Learn more about subtraction at:

  • brainly.com/question/8280736
  • brainly.com/question/8301701

#LearnwithBrainly

8 0
4 years ago
The length of one side of a square field is represented by the expression 3-7x.
Juliette [100K]

They give us the length of side of the square which is 3-7x.

To get an expression for the perimeter that is expressed as a product we have to multiply the expression 3-7x by four since every square has four sides. This will give us an expression of 4(3-7x). We than can use the distributive property to multiply everything inside the parenthesis by 4. This will give us an expression of 12-28x.

7 0
3 years ago
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