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Mandarinka [93]
2 years ago
9

( 7x + 1/2) + ( 7x - 7 and 1/2) Simplify

Mathematics
1 answer:
pishuonlain [190]2 years ago
7 0

Answer:

The answer will be 7(2x - 1)

Step-by-step explanation:

1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

7x +  \frac{1}{2}  + 7x -  \frac{7 \times 2 + 1}{2}

2) Simplify 7 × 2 to 14 .

7x +  \frac{1}{2}  + 7x  -  \frac{14 + 1}{2}

3) Simplify 14 + 1 to 15.

7x +  \frac{1}{2}  + 7x -  \frac{15}{2}

4) Collect like terms.

(7x + 7x) + ( \frac{1}{2}  -  \frac{15}{2} )

5) simplify.

14x - 7

6) Factor out the common term 7.

7(2x - 1)

Therefor, the answer is 7( 2x - 1 ).

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lisov135 [29]

Answer:

80 square units

536.6 cm^{2}

Step-by-step explanation:

First one.

2 Trapezoids

A = \frac{(base_{1} +base_{2}) }{2} x h

A = \frac{10 + 6}{2} x 2

A = 16

One rectangle

A = b x h

A = 6 x 8

A = 48

Total Area = 16 + 16 + 48 = 80

Second one:

Two triangles:

A = \frac{(b)(h)}{2}

A = \frac{10(8.66)}{2}

A = \frac{86.6}{2}

A = 43.3

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A = 30 x 15

A = 450

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8 0
2 years ago
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Which term is a word for an initial amount of money that is borrowed or invested?
ozzi

Answer:

principal is the correct answer

Step-by-step explanation:

principal is the correct answer

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2 years ago
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Graph the equation <br><br>2x + 3y = 9
jeka57 [31]

2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3

Look at the graph picture I attached

y = mx + c

c is the intercept, which is why the graph crosses the y-axis at +3

to find where it crosses the x-axis, we make y = 0

y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)

8 0
2 years ago
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Tanya [424]

Answer:

2.50

Step-by-step explanation:

Given

(x_1,y_1) = (-1,0.8)

(x_2,y_2) = (0,2)

(x_3,y_3) = (1,5)

(x_4,y_4) = (2,12.5)

Required

The rate of change (b)

The above graph is represented as:

y = ab^x

For: (x_2,y_2) = (0,2);

We have:

y = ab^x

2 = a * b^0

2 = a *1

2 = a

a = 2

For (x_3,y_3) = (1,5),

We have:

y = ab^x

5 = a * b^1

5 = a * b

Substitute a = 2

5 = 2 * b

Divide by 2

2.5 = b

b = 2.5

<em>Hence, the rate of change is 2.50</em>

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3 years ago
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