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3 years ago

What are the values of x in the equation 4x2 + 4x - 3 = 0?

Mathematics

1 answer:

9966 [12]3 years ago

5 0

Answer:

x= 0.5

or x= -1.5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x2+4x−3=0

Step 1: Factor left side of equation.

(2x−1)(2x+3)=0

Step 2: Set factors equal to 0.

2x−1=0 or 2x+3=0

x= 1/2 or x= −3/2

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Multiply (5a+7)(5a-7)

vovikov84 [41]

Answer:

25a^2-49

Step-by-step explanation:

1)use FOIL

F=first

O=out

I=inside

L=last

5a*5a+5a*-7+7*5a*7*-7

25a^2-35a+35a-49

25a^2-49

Hope this helps!

5 0

3 years ago

Read 2 more answers

in Oklahoma the states sales tax is 7%.if James purchases a lawn mower then how much will James pay in states sales tax

Nimfa-mama [501]

Answer:

Step-by-step explanation:

7% converts into 0.07

the price of the lawn mower × 0.07

you should get your answer

7 0

3 years ago

Corey needs 24 boards that are 47 1/2 inches long. B. If you can only buy 8-foot boards, how many should he buy? Explain.

dimulka [17.4K]

A. 95 feet

<span>B. 12, because that would get you 96 feet of board, and if you only got 11, then you would only have 88 feet of boards which is not enough.

Hope this helped!</span>

4 0

3 years ago

Which choice is equivalent to the expression shown below? -3(3y-2x) +2(5x-4y)

kap26 [50]

Answer:

-17y + 16x

Step-by-step explanation:

-3(3y - 2x) + 2(5x - 4y) = -9y + 6x + 10x - 8y = -17Y + 16X.

If it is helpful, plz give me Brainliest.

7 0

3 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago