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AveGali [126]
3 years ago
9

Solve the equation-84= 6(p-8)​

Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

p=-6

Step-by-step explanation:

-84/6=p-8

-14=p-8

p=-6

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3a+11=7a-13 with shown work​
DaniilM [7]

3a+11=7a-13

move 7a to the other side

sign changes from +7a to -7a

3a-7a+11= 7a-7a-13( combine like terms)

3a-7a+11= -13

-4a+11= -13

move 11 to the other side

sign changes from +11 to -11

-4a+11-11= -13-11

-4a= -13-11

-4a= -24

divide both sides by -4 to get a by itself

-4a/-4= -24/-4

Answer: a= 6

4 0
3 years ago
Describe the features of the Free-market system
meriva

Answer:People often use the terms free enterprise, free market, or capitalism to describe the economic system of the United States. A free enterprise economy has five important characteristics. They are: economic freedom, voluntary (willing) exchange, private property rights, the profit motive, and competition.

Step-by-step explanation:

5 0
2 years ago
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Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the mathema
Shkiper50 [21]
<span>Aiko incorrectly used the associative property by changing the order of the two complex numbers.</span>
4 0
3 years ago
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The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city
Tresset [83]

The quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

<h3>What is the general form of a quadratic equation?</h3>

The general form of the quadratic equation is given by;

\rm ax^2+bx+c=0

Where; a, b, and c are the constants.

x;   0       1         2        3          4         5

y;  2.82  3. 29  3. 46  3. 33   2. 88  2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82

From the table when the value of x = 3 the value of y is 3.33.

\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\

From the table when the value of x = 5 the value of y is 2.24.

\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143

And the value of b is;

\rm b=3a\\\\b=3(-0.14)\\\\b=0.59

Therefore,

The quadratic regression equation for this data set is;

\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\

Hence, the quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

To know more about the Quadratic equation click the link given below.

brainly.com/question/14935613

8 0
2 years ago
What is the quotient?
Zigmanuir [339]

Answer:

B. Negative two-fifths (-2/5)

Step-by-step explanation:

1. Change the second number into a fraction if it isn't already.

2. Find the reciprocal of the divisor, or second fraction.

3. Multiply the numerators together.

4. Multiply the denominators together.

5. Simplify the answer if possible.

6. Determine if the answer is positive or negative using the sign rules.

Show your work:

-4/5 divided by 2/1

-4/5 divided 1/2

-4 * 1 = -4

5 *  2 = 10

Simplify:

-4/10 = -2/5

8 0
3 years ago
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