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2 years ago

Quick Math Problems Plz Help Solve For X (Show Ur Work If U Can)

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

5 0

Answer:

5. $6x^2 - x - 2$

6. $9x^2 - 15x + 6\frac{1}{4}$

Step-by-step explanation:

$(x+ \frac{1}{2}) (6x-4)$
$(x)(6x) + (x)(-4) + (\frac{1}{2})(6x)+(\frac{1}{2})(-4)$
$6x^2 - 4x + 3x - 2$
$6x^2 - x - 2$

$(3x-\frac{5}{2})^2$
$(3x - \frac{5}{2})(3x - \frac{5}{2})$
$(3x)(3x) + (3x)(\frac{-5}{2}) + (\frac{-5}{2})(3x) + (\frac{-5}{2})(\frac{-5}{2})$
$9x^2 - \frac{15}{2}x - \frac{15}{2}x + \frac{25}{4}$
$9x^2 - 15x + \frac{25}{4}$
$9x^2 - 15x + 6\frac{1}{4}$

You might be interested in

Two angles of a triangle have the same measure and the third one is 18 degrees greater than the measure of each of the other two

kvv77 [185]

Answer:

72°

Step-by-step explanation:

Let the 2 equal angles be x then the third angle is x + 18

The sum of the 3 angles in a triangle = 180°, thus

x + x + x + 18 = 180, that is

3x + 18 = 180 ( subtract 18 from both sides )

3x = 162 ( divide both sides by 3 )

x = 54

Hence

the largest angle = x + 18 = 54 + 18 = 72°

4 0

2 years ago

The Nuthouse offers a mixture of soy nuts and almonds, Almonds

elena55 [62]

Answer:

14 pounds

Step-by-step explanation:

The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.

<h3>Solution</h3>

x = 20 -y . . . . . . . subtract y from the first equation

7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation

140 -1.5y = 119 . . . . . . . . simplify

21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides

14 = y . . . . . . . . . . . .divide by 1.5

14 pounds of soy nuts should be used in the mixture.

<em>Additional comment</em>

There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.

6 0

2 years ago

A coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers

Cerrena [4.2K]

Answer:

Null hypothesis: $\mu = 65$

Alternative hypothesis: $\mu \neq 65$

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

For this case the value of $\mu$ represent the parameter associated to the population (True average of cofee temperature)

Step-by-step explanation:

Data given and notation

$\bar X=70.2$ represent the mean height for the sample

$s$ represent the sample standard deviation for the sample

$n=20$ sample size

$\mu_o =765$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean i equal to 70.2, the system of hypothesis would be:

Null hypothesis: $\mu = 65$

Alternative hypothesis: $\mu \neq 65$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

For this case the value of $\mu$ represent the parameter associated to the population (True average of cofee temperature)

3 0

3 years ago

Leokris [45]

416.25

375*.11=41.25

41.25+375=416.25

5 0

3 years ago

Read 2 more answers

The times for 5 runners in a 30-meter dash were 6.44 seconds, 6.2 seconds, 6.04 seconds, 7.14 seconds, and 6.48 seconds. Wr

Scorpion4ik [409]

Answer:

329842384097

Step-by-step explanation:

4 0

2 years ago