All categories

2 years ago

-2(4x+4)-3x-2=34 what's the answer

Mathematics

1 answer:

Julli [10]2 years ago

4 0

Answer:

x = -4

Step-by-step explanation:

Given: -2(4x + 4) - 3x - 2 = 34

To solve this equation, we have to isolate the variable. (Get x by itself).

We'll follow the PEMDAS rule as far as parentheses.

So, -2(4x + 4) - 3x - 2 = 34

= -8x - 8 - 3x - 2 = 34

Now, we have to get x by itself. To do this, we'll move the numbers without variables to the other side.

Hence:

-8x - 8 - 3x - 2 = 34

+8 +2 +8 +2

-8x - 3x = 34 + 8 + 2

Now, we'll simplify.

-11x = 44

Lastly, to rid the negative eleven from the x, we have to divide negative eleven by the rest of the equation.

-11x = 44

-------------

-11

x = -4

You might be interested in

How do I find the slope of a line from a table graph

Nataly_w [17]

Step-by-step explanation:

slope is the rise over run

rise= X

run= Y

X/Y = slope

6 0

3 years ago

Without multiplying, determine the sign of the product (−468,256)(−183,758).

madreJ [45]

It is the first answer choice because a negative times a negative is a positive.

3 0

2 years ago

Read 2 more answers

If an original statement is represented by p>q which represents the contrapositive?

ad-work [718]

An implication of p→ q, its contrapositive will be:
Not q→ Not p:
In our example the implication p→ q is p>q and is contrapositive is:
Not q > Not p

5 0

2 years ago

Terri will replace the tile and carpet in her apartment. How many total square feet of tile and carpet must Terri purchase in or

lana66690 [7]

Answer:Terry need to purchase $195\ ft^{2}$ of tile and $663\ ft^{2}$ of carpet for a total area of $858\ ft^{2}$

Step-by-step explanation:

step 1

Find the square feet of tile

The area of the tile is equal to

$A=(15)(26-13)=195\ ft^{2}$

step 2

Find the square feet of carpet

Remember that

$38\frac{1}{2}\ ft=38.5\ ft$

The area of the carpet is equal to

$A=(38.5)(26)-195-(11)(13)\\A= 1,001-195-143\\A=663\ ft^{2}$

8 0

2 years ago

One water quality standard for water that is discharged into a particular type of stream or pond is that the average daily water

musickatia [10]

Answer:

$t=\frac{18.15-18}{\frac{3.134}{\sqrt{6}}}=0.117$

$p_v =P(t_{5}>0.117)=0.456$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the mean is not significantly higher than 18 at 10% of signficance.

Step-by-step explanation:

Data given and notation

16.8 21.5 19.1 12.8 18.0 20.7

We can calculate the mean and deviation with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And the results are:

$\bar X=18.15$ represent the sample mean

$s=3.134$ represent the sample standard deviation

$n=6$ sample size

$\mu_o =18$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

z 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 is higher than 18, the system of hypothesis would be:

Null hypothesis: $\mu \leq 18$

Alternative hypothesis: $\mu > 18$

Since we don't know the population deviation, 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".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{18.15-18}{\frac{3.134}{\sqrt{6}}}=0.117$

P-value

The degrees of freedom are given by:

$df = n-1 = 6-1= 5$

Since is a right tailed test the p value would be:

$p_v =P(t_{5}>0.117)=0.456$

Conclusion

3 0

2 years ago