All categories

3 years ago

Simplify (4x^2 + 12x - 9) + (7x^2 - x + 3)

Mathematics

2 answers:

AVprozaik [17]3 years ago

5 0

Answer:

11x^2 + 11x - 6

Step-by-step explanation:

Remove the parenthesese.
Add like terms, 4x^2 and 7x^2.
After that, subtract x from 12x, that's 11x.
then add -9 and 3, and that's -6.

Then you're left with 11x^2 + 11x - 6

I hope this helps!

jasenka [17]3 years ago

3 0

Answer:

The correct answer is 11x² + 11x - 6

Step-by-step explanation:

The given expression is,

(4x² + 12x - 9) + (7x² - x + 3)

Simplify the given expression

(4x² + 12x - 9) + (7x² - x + 3) = 4x² + 12x - 9 + 7x² - x + 3

= 4x² + 7x² + 12x - x - 9 + 3

= 11x² + 11x - 6

Therefore the simplified form of given expression is 11x² + 11x - 6

You might be interested in

Add the sum of (−5.4) and 8.2 to the opposite of (−2 3/4 ).

mash [69]

Answer:2

Step-by-step explanation:

-5.4+8.2=14/5 and then opposite of -2 3/4 is 2.

4 0

3 years ago

Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a

Vikki [24]

Answer:

$0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730$

$0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890$

And the confidence interval would be:

$0.730 \leq \p \leq 0.890$

Step-by-step explanation:

Information given:

$n=131$ represent the sample size

$\hat p=0.81$ represent the estimated proportion

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.326$

And replacing into the confidence interval formula we got:

$0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730$

$0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890$

And the confidence interval would be:

$0.730 \leq \p \leq 0.890$

6 0

3 years ago

In a particular lottery, 5 winning numbers are drawn from a set of 37 numbers. What is the probability of picking exactly 2 of t

anygoal [31]

Since 5 winning numbers are draw and there are exactly 2 winning numbers, the other 3 numbers chosen have to be incorrect.

The 2 numbers picked right, there are 5C2=10 different possibilities.

The other 3 numbers are just picked from the rest of the 32 numbers. Getting there are 32C3=4960 different possibilities.

For each set of 2 correct winning numbers, you could have the 4960 different losing numbers to match up to make a unique set. This meant that there are 4690*10=46900 different total possibilities.

Now the total different outcomes of how you can choose the numbers are 37C5=435897 outcomes.

Now the way to find probabilities is want/total

The want is 46900 and the total is 435897

Doing the division you get the number rounded to the nearest thousandths as 0.107 or in percent form as

10.759% chance of picking exactly 2 winning numbers.

This seems like a competition problem of some sort therefore I assume that you already know what combinations in form nCk and permutation in form nPk means.

8 0

2 years ago

If the line above is translated 5 units up and 8 units left, what is the slope of the new line?

vazorg [7]

The slope is 5/-8

Since rise/run...

Rise = +5 and Run = -8

3 0

3 years ago

Alexandra is scuba diving. A diving computer automatically records her depth every five minutes. The depth readings from her fir

I am Lyosha [343]

Answer:

16.38 meters represents the greatest amount of change in her depth over a single 5-minute period

Step-by-step explanation:

From time = 0 to time = 5 the amount of change in her depth was -12.45 - 0 = -12.45 meters

From time = 5 to time = 10 the amount of change in her depth was -9.7 - (-12.45) = -2.75 meters

From time = 10 to time = 15 the amount of change in her depth was -22.98 - (-9.7) = -13.28 meters

From time = 15 to time = 20 the amount of change in her depth was -6.6 - (-22.98) = 16.38 meters

7 0

3 years ago