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1 year ago

Twice the difference of a number and 6 equals 7

Mathematics

1 answer:

Pavlova-9 [17]1 year ago

8 0

Answer: 9.5

Step-by-step explanation:

First, we set up the equation. Let the number = x.

2(x-6) = 7

Divide by 2 on both sides:

x-6 = 3.5

Add 6 on both sides:

x = 9.5

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Help please!!!

katovenus [111]

Answer:

x = $\frac{7+\sqrt{47}\times i }{4}$

Step-by-step explanation:

To solve quadratic systems,we always substitute one variable in terms if the other and then solve the equation.

x + 2y = 6 ---------------(1)

y - 5 = $(x-2)^{2}$ ---------------(2)

y = $(x-2)^{2}$ + 5 ---------------(3)

Substitute (3) in (1) ,

x + 2( $(x-2)^{2}$ + 5 ) = 6

$(a + b)^{2}$ = $a^{2} + 2ab + b^{2}$

x + 2( $x^{2} - 4x + 4$ + 5 ) = 6

$2x^{2} - 7x + 12=0$ --------------(4)

The roots of the quadratic equation $ax^{2} +bx+c$ is

x = $\frac{(-b) + \sqrt{(-b)^{2}-4 \times ac } }{2 \times a}$ -----------(5)

According to equation (5),solution of (4) is

x = $\frac{7 + \sqrt{(-7)^{2}-4 \times 24 } }{2 \times 2}$

x = $\frac{7+\sqrt{49-96}}{4}$

x = $\frac{7+\sqrt{47}\times i }{4}$

4 0

3 years ago

What is C=6/6+12*180

frozen [14]

C=2161
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6 0

2 years ago

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calculate the loan for $10,000, at an annual percentage rate of 5%, for a term of 5 years. what is the amount of accrued interes

navik [9.2K]

2500$ it the interest amount for 5 years

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3 years ago

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twice a number plus three times another number equals 4. three times the first number plus four times the other number is 7. wha

Drupady [299]

Answer:

x=5, y=-2. (5, -2).

Step-by-step explanation:

2x+3y=4

3x+4y=7

----------------

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-2(3x+4y)=-2(7)

----------------------

6x+9y=12

-6x-8y=-14

-----------------

y=-2

2x+3(-2)=4

2x-6=4

2x=4+6

2x=10

x=10/2

x=5

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2 years ago

HEEEELP ABC m a-58 b-42 c-55 d-41

Savatey [412]

Your answer is going to be C

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2 years ago