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natta225 [31]
4 years ago
5

Write −1/2x+y=10 in slope-intercept form.

Mathematics
1 answer:
Varvara68 [4.7K]4 years ago
6 0

Answer:

y=\frac{1}{2} x+10

Step-by-step explanation:

-\frac{1}{2} x+y=10\\

<em>Add </em>\frac{1}{2} x<em> to both sides</em>

y=10+\frac{1}{2} x\\\\y=\frac{1}{2} x+10

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What is the volume of a rectangular prism that is 3 cm by 7 cm by by 7 cm?
natali 33 [55]

Answer:

147 cm^{3}

Step-by-step explanation:

7*7*3 = 147

volume of a rectangular prism = length*width*height, in this case, 7*7*3

hope this helps :)

3 0
3 years ago
Mr. Hartman, the school librarian, is ordering new keyboards and mice for all of the school's computer labs. Each keyboard costs
mario62 [17]

Answer:

3 * 20s

Step-by-step explanation:

In order to find out how much Mr. Hartman will spend in total we first need to multiply the price of the keyboard and mouse by the number of computers in a single computer station. Once we have these products we add them together. Finally, we multiply this new value by 3 since there are a total of 3 computer stations. If we turn this into an expression it would be the following...

3 * (13.50s + 6.50s)

We can even simplify this by first adding the cost of the keyboard and mouse and then multiplying by s

3 * 20s

6 0
3 years ago
A two-factor study with two levels of factor A and three levels of factor B uses a separate group of n = 5 participants in each
Mashcka [7]

Answer: There are 30 participants are needed for the entire study.

Step-by-step explanation:

Since we have given that

Number of levels of factor A = 2

Number of levels of factor B = 3

Number of participants in each treatment condition = 5

So, the number of participants are needed for the entire study is given by

2\times 3\times 5\\\\=6\times 5\\\\=30

Hence, there are 30 participants are needed for the entire study.

7 0
3 years ago
What is the domain and range of f(x)=2|x+2|-8
RideAnS [48]

Answer:

The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}

Step-by-step explanation:

- The domain of the function is the values of x which make the

  function defined

- The rang is the corresponding values of y with the domain

- The parent function of f(x) is g(x) = IxI

- The graph of this function represented by 2 lines starting from  

  the origin, one of them with positive slope and the other with negative

  slope and both of them over the x-axis

- The Domain of g(x) is {x : x ∈ R} where R is the set of real numbers

- That mean the domain of g(x) is all real numbers

- The range of g(x) is {y : y ≥ 0}

- That mean the range is all real numbers greater than or equal to zero

- f(x) is the image of g(x) after some transformations

- g(x) multiplied by 2 that mean vertical stretch.

- Then x add by 2 that mean horizontal translation to the left by 2 units

- Then subtract 8 from it means vertical translation down by 8 units

- The figure of f(x) is the same lines but stretched vertically away from

   x-axis and moved to the left 2 units and down 8 units

- That means the image of the origin is (-2 , -8)

- So the domain does not change it is the all real numbers

- The domain of f(x) is {x : x ∈ R}

- But the range changes is because the graph of the function starts

 from -8 not from 0

- Then the range of f(x) is {y : y ≥ -8}

* The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}

- <em>Look to the attached graph for more understand</em>

7 0
3 years ago
The graph shows the savings in Andre’s bank account.
Vadim26 [7]

Answer:

The slope is 1/5

Andre is saving 4 dollars per week.

Step-by-step explanation:

5 0
3 years ago
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