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strojnjashka [21]
3 years ago
8

Solve the two step equation 8x+38=60

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

x = 2.75

Step-by-step explanation:

The goal here is to isolate the variable, or to get x by itself. We can do this by using simple math. The first step is to move every thing to the opposite side of x. We do this by subtracting 38 from 60, which leaves us with 22. Now we want divide 22 by 8. After doing this we are left with the equation x = 2.75. I know that at first fractions and decimals seem annoying and they feel like a lot of work. But if you take a second to really look at them, you will realize they are not that bad. As in most cases with math, looks can be deceiving

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What is the value of n in the relationship 8n+9=-n+5
vitfil [10]
Subtract 5 from both sides.

8n + 4 = -n

Subtract 8n from both sides.

4 = -9n

Divide both sides by -9 to solve for n.

- \frac{4}{9} = n

The value of n is -4/9.
8 0
3 years ago
Can somebody find the solution to this question
AleksAgata [21]
<h3>Answer: Solution is x = -2</h3>

You have two equations with y1 = f(x) and y2 = g(x).

We're looking for the values of x such that f(x) = g(x). This is the same as trying to solve y1 = y2.

The first row of the table shows y1 and y2 having the same value 5. So we just record the x value that goes with these y values.

5 0
3 years ago
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Lapatulllka [165]

Answer:

A - is the best answer...

4 0
2 years ago
Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int
melisa1 [442]

Answer:

Vertex form: f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}

The vertex is (-\frac{7}{2},-\frac{53}{4})

Step-by-step explanation:

For a general quadratic function the form is:

ax ^ 2 + bx + c

For the function

f(x) = x ^ 2+ 7x -1

The values of the coefficients for the function are the following: a = 1, b =7, c = -1

Take the value of b and divide it by 2. Then, the result obtained squares it.

\frac{b}{2}= \frac{7}{2}

(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}

Add and subtract \frac{49}{4}

f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1

Write the expression of the form

f(x) = (x+\frac{b}{2})^2 +k

f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}

The vertex is (-\frac{7}{2},-\frac{53}{4})

6 0
3 years ago
A rectangular swimming pool is 25 ft long and 20 1/2 ft wide, and it must be filled to a depth of 4 1/2 ft. One cubic foot of wa
bazaltina [42]

ANSWER

307½ gallons of water

EXPLANATION

The volume of the rectangular swimming pool is

V = l \times w \times h

where l=25ft and w=20½ ft.

when it is filled to a depth of 4½ ft ,then the height is , h=4½ ft.

We substitute these values into the formula to get:

V = 25\times 20.5\times 4.5

V = 2306.25 {ft}^{3}

If one cubic foot of water is 7½ gallons, then 2306.25 cubic feet will be

\frac{2306.25}{7.5}  = 307.5gallons

We need 307.5 gallons of water to fill the pool.

4 0
3 years ago
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