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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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A person noted that the angle of elevation to the top of a tree was 65 degrees at a distance of 11 feet from the tree. Using the

sashaice [31]

Answer:

approximate 23.590 feet

Step-by-step explanation:

tan 65° = x / 11 = 2.145

x = 11 x 2.145 = 23.595

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3 years ago

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HELP PLEASE!!! I don’t understand these math questions at all and it’s due in 2 hours, I’m freaking out

nataly862011 [7]

Answer:

1. The top and bottom lines (-5,3) (8,3) is parallel to line (-2,-2) (11,-2). The sides Lines (-5,3) (-2,-2) is parallel to line (8,3) (11,-2).

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3 years ago

What is the product of 3x+4 and 6x^{2} −5x+7?

LUCKY_DIMON [66]

$(3x + 4)(6 {x}^{2} - 5x + 7) \\ = 18 {x}^{3} - 15 {x}^{2} + 21x + 24 {x}^{2} - 20x + 28 \\ = 18 {x}^{3} + 9 {x}^{2} + x + 28$

I hope I helped you^_^

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3 years ago

A cereal box filling machine is designed to release an amount of 16 ounces of cereal into each box, and the machine’s manufactur

Paraphin [41]

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

$H_0: \mu = 16$

At the alternative hypothesis, it is tested if the mean is different, hence:

$H_1: \mu \neq 16$

<h3>What is the test statistic?</h3>

The test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the population.

n is the sample size.

The parameters for this problem are:

$\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150$ .

Hence:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}$

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

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2 years ago

!HELP ASAP WOULD BE APPRECIATED! The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter

Andrews [41]

Answer:

ok im not sure this is the right answer to your specific question, because i dont understand the wording to well, but here...

for 1/7 and 1/2 it would be 2/7 and 1 (whole)

for 1 and 1/7 it would be 2(whole) and 2/7

for 1 and 2/7 it would be 2(whole) and 4/7

for 4/9 it would be 8/9 and x

and for 2/9 it would be 4/9 and x

sorry if thats not the question :)

EDIT: its the second one because

2*1/7= 2/7

and 1/2*2=1

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3 years ago

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