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2 years ago

Solve each quadratic equation. Show your work. 14. (2x – 1)(x + 7) = 0

Mathematics

2 answers:

melisa1 [442]2 years ago

5 0

ahrayia [7]2 years ago

5 0

Solve your equation step-by-step.

(2x−1)(x+7)=0

Simplify both sides of the equation.

2x2+13x−7=0

Factor left side of equation.

(2x−1)(x+7)=0

Set factors equal to 0.

2x−1=0 or x+7=0

x=1/2 or x=−7

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2x³-8=0<br> How do I solve this problem ?

wlad13 [49]

Answer:

$x=2^{\frac{2}{3}}$

Step-by-step explanation:

1) Add 8 to both sides.

<em /> $2x^3=8$

2) Divide both sides by 2.

$x^3=\frac{8}{2}$

3) Simplify $\frac{8}{2}$ to 4.

$x^3=4$

4) Take the cube root of both sides.

$x=\sqrt[3]{4}$

5) Rewrite 4 as 2².

$x=\sqrt[3]{2^2}$

6) Use this rule: ${({x}^{a})}^{b}={x}^{ab}$ .

$x=2^{\frac{2}{3}}$

Decimal Form: 1.587401

__________________________________________

Check the answer:

$2x^3-8=0$

1) Let $x=2^\frac{2}{3}$ .

$2(2^{\frac{2}{3} })-8=0$

2) Use this rule: $(x^a)^b=x^{ab}$ .

$2\times2^{\frac{2\times3}{3} } -8=0$

3) Simplify 2 * 3 to 6.

$2\times2^{\frac{6}{3} } - 8 =0$

4) Simplify 6/3 to 2.

$2\times2^2-8=0$

5) Use Product Rule: $x^ax^b=x^{a+b}$ .

$2^3-8=0$

6) Simplify 2^3 to 8.

8 - 8 = 0

7) Simplify 8 - 8 to 0.

0 = 0

Thank you,

Eddie

5 0

1 year ago

FIND THE AREA AND PERIMETER PLEASE

baherus [9]

Answer:

Area = 70 Perimeter = 50

Step-by-step explanation:

I will begin with area. I can find the area of each figure, then add the areas.

3 • 18 = 54

4 • 4 = 16

Area = 70

For perimeter, I will add the given lengths.

3 + 18 + 7 + 4 + 4 + 14

Perimeter = 50

8 0

3 years ago

Read 2 more answers

I really dont get this please help just A, B, and C

alexandr402 [8]

The pic is kinda blurry so I can’t read it

4 0

3 years ago

a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat 7 hours, while the outlet pipe can empty it in

raketka [301]

Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers.

Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)

For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour.

So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added.

Now just divide the size of the vat by that number, and you find your answer.

70 gallons / 3 gallons per hour = 23 1/3 hours.

6 0

3 years ago

9x + 26 + 7x - 17 = 2x + (-3x) + 5x

slega [8]

9x + 26 + 7x - 17 = 2x + (-3x) + 5x =
16x + 9 = 2x - 3x + 5x =
16x + 9 = 4x
9 = 4x - 16x
9 = - 12x
-9/12 = x
- 3/4 = x

4 0

2 years ago