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3 years ago

Simplify. 2x + 6x2 10 + 4x2 – 3x + (-6) =

Mathematics

2 answers:

Anika [276]3 years ago

6 0

Answer: 14x,4+4x ^2-3x

Step-by-step explanation:

1. Simplify 6x\times 26x×2 to 12x12x.

2x+12x,10+4{x}^{2}-3x-6

2x+12x,10+4x

−3x−6

2 Simplify 2x+12x2x+12x to 14x14x.

14x,10+4{x}^{2}-3x-6

14x,10+4x

−3x−6

3 Collect like terms.

14x,((10-6)+4{x}^{2}-3x)

14x,((10−6)+4x

−3x)

4 Simplify (10-6)+4{x}^{2}-3x(10−6)+4x

−3x to 4+4{x}^{2}-3x4+4x

−3x) Hope that helps

Blizzard [7]3 years ago

4 0

God bless you ma’am/sir!!

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Solve each quadratic equation by completing the square. Give exact answers--no decimals.

Sholpan [36]

Answer:

$x_1 = -2 + 2i\\\\x_2 = -2 -2i$

Step-by-step explanation:

In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:

$7x ^ 2 + 28x +56 = 0$

The steps are shown below:

For any equation of the form: $ax ^ 2 + bx + c = 0$

1. If the coefficient a is different from 1, then take a as a common factor.

In this case $a = 7$ . Then:

$7(x ^ 2 + 4x) = -56$

2. Take the coefficient b that accompanies the variable x. In this case the coefficient is 4. Then, divide by 2 and the result squared it.

We have:

$\frac{4}{2} = 2\\\\(\frac{4}{2})^2 = 4$

3. Add the term obtained in the previous step on both sides of equality, remember to multiply by the common factor $a = 7$ :

$7(x ^ 2 + 4x + 4) = -56 + 7(4)$

4. Factor the resulting expression, and you will get:

$7(x + 2) ^ 2 = -28$

Now solve the equation:

Note that the term $7(x + 2) ^ 2$ is always $> 0$ therefore it can not be equal to -28.

The equation has no solution in real numbers.

In the same way we can find the complex roots:

$7(x+2)^2 = -28\\\\(x+2)^2 = -\frac{28}{7}\\\\x+2 = \sqrt{-\frac{28}{7}}\\\\x = -2 + \sqrt{-4}\\\\x = -2 + 2\sqrt{-1}\\\\x_1 = -2 + 2i\\\\x_2 = -2 -2i$

4 0

4 years ago

Read 2 more answers

Kate is at a T-shirt sale where she can buy one and get a second one for 30% off. She wants to buy two T-shirts listed at $19 ea

gladu [14]

So in this problem we can state that each T-shirt costs S19 each. And if Kate buys two she gets a 30% off with the second shirt she buys. And how much will she pay?

Solution: 
1. 19 for each t-shirt 
2. Total of $38 if not provided with 30% off
3. 19 x 0.3 = 5.7
4. Hence 30% of $19 is $5.7
5. Next is we deduct $5.7 which is 30% of $19. 
6. 19 – 5.7 = $13.3 
7. Therefore we add one shirt for $19 and the second, less 30% off which now only costs for $13.3. 
8. 19 + 13.3 = 32.3
9. Conclusively, she will pay $32.3 for the shirts.

3 0

4 years ago

I need help finding this answer ASAP

Darya [45]

Answer:

First & Third options

Step-by-step explanation:

$\bigg( {5}^{ \frac{3}{8}} \: . {5}^{ \frac{1}{8}} \bigg)^{3} \\ \\ = \bigg( {5}^{ \frac{3}{8} + \frac{1}{8}} \bigg)^{3} \\ \\ = \bigg( {5}^{ \frac{4}{8}} \bigg)^{3} \\ \\ = \bigg( {5}^{ \frac{1}{2}} \bigg)^{3} \\ \\ = {5}^{ \frac{3}{2}} \\ \\ = \sqrt{ {5}^{3} } \\ \\ \huge\red{ \boxed{\therefore \bigg( {5}^{ \frac{3}{8}} \: . {5}^{ \frac{1}{8}} \bigg)^{3}= \sqrt{ {5}^{3} } }}$

8 0

4 years ago

5. Solve for x: 1/x-1/3=-1/3x

leva [86]

Answer:

(x-3)/9

Step-by-step explanation:

STEP

-x

Simplify ——

Equation at the end of step

(3 - x) -x

——————— • ——

3x 3

STEP

3 - x

Simplify —————

Equation at the end of step

(3 - x) -x

——————— • ——

3x 3

STEP

Canceling Out :

3.1 Canceling out x as it appears on both sides of the fraction line

Final result :

x - 3

—————

hope this helps!!

4 0

3 years ago

Y=4x+4 -8x+3y=5 With work

Ad libitum [116K]

Y = 4x + 4
-8x + 3y = 5

-8x + 3(4x + 4) = 5
-8x + 12x + 12 = 5
-8x + 12x = 5 - 12
4x = -7
x = -7/4

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

solution is (-7/4,-3)

3 0

3 years ago