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Mekhanik [1.2K]
3 years ago
8

Find the unit rate for the following. REMEMBER, UNIT RATE IS HOW MUCH IS ONE OF SOMETHING.

Mathematics
1 answer:
NISA [10]3 years ago
5 0
PPG: 140/5 = 28 or 28:1 game
MPG: 504/12 = 42 or 42:1 gallon
$ per bag: 8.97/3 = $2.99:1 bag
Good luck to you!
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Please help simplify 5y + 3 + 8y - 2
expeople1 [14]

Answer:

13y + 1

Step-by-step explanation:

8y + 5y = 13y

3 - 2 = 1

13y + 1

4 0
3 years ago
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Find the value of x<br> need help asap pls<br> will give brainliest
Ahat [919]

Answer: 10

Step-by-step explanation:

5 0
2 years ago
X^{2} - 8x + 7 = 0<br> Solve by completing the square. Also can you include steps?
iren [92.7K]

Answer:

{1, 7}

Step-by-step explanation:

Start with x^2 - 8x + 7 = 0.

We want to modify the first two terms to resemble x^2 - ax + b - b, where a is the coefficient (here -8) of the x term and b is the square of half of a.

Here, a = -8.  Half of that is -4.  The square of -4 is 16, and this is the value of b.

Write out x^2 - 8x     as    x^2 - 8x + 16 - 16.  This is the perfect square of -4, added to x^2 - 8x and then subtracted from the result

Then the original equation, x^2 - 8x + 7 = 0, can be rewritten as:

x^2 - 8x + 16 - 16 + 7 = 0, and then as (x - 4)^2 - 9, or (x - 4)^2 = 9.

We want to solve this result for x.  To do this, take the square root of both sides:

x - 4 = ±√9, or x - 4 = ±3.

Adding 4 to both sides, we get:

x = 4 ± 3.  Thus, the solutions are x = 4 + 3 = 7 and x = 4 - 3 = 1.

6 0
4 years ago
Read 2 more answers
What is the difference of the polynomials?
olya-2409 [2.1K]

Answer:

2x³ + 2x

Step-by-step explanation:

(x² + x³ + x² + x) - (x² - x³ + x² - x)

= x² + x³ + x² + x - x² + x³ - x² + x

Gathering like terms...

x³ + x³ +x² + x² -x² - x² + x + x

= 2x³ + 2x

6 0
2 years ago
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Graph the linear function p(x)=4x .
Law Incorporation [45]

Answer:

Please find attached the required graph

Step-by-step explanation:

The given equation of the linear function is p(x) = 4·x

Comparing the above equation with the general equation for a straight line, y = m·x + c, we have;

The slope, m = 4, and the y-intercept c = 0

Therefore, the graph can be constructed by drawing a straight line passing through the origin which is inclined to the horizontal axis such that the ratio of the vertical distance of a point on the line from the x-axis to the distance of the point from the y-axis is 4 to 1

However, in order to  graph the given function, such that the values of the x and y coordinates of the points on the line representing the equation of the graph are clearly defined, we generate a table of values  using Microsoft Excel as follows;

x            {}                p(x)

0            {}                0

1            {}                 4

2            {}                8

3            {}                12

4            {}                16

5            {}                20

6            {}                24

7            {}                28

8            {}                32

9            {}                36

10            {}                40

11            {}                44

12            {}                48

13            {}                52

14            {}                56

15            {}                60

16            {}                64

From which the required graph is constructed using the insert function in Microsoft Excel

8 0
3 years ago
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