Perform the indicated operation by removing the parentheses and combining like terms.(-2x2 + 5) + (6x2 + 7)

Answers

Answer 1

Given the expression:

[tex]\mleft(-2x^2+5\mright)+(6x^2+7)[/tex]

Removing the parentheses and combining like terms.

[tex]\begin{gathered} =-2x^2+5+6x^2+7 \\ =-2x^2+6x^2+5+7 \\ \\ =4x^2+12 \end{gathered}[/tex]

so, the answer will be:

[tex]4x^2+12[/tex]

Answer 2

Answer 733

Step-by-step explanation:


Related Questions

Define an exponential function, h(x), which passes through the points (1,16) and(5, 1296). Enter your answer in the form a*b^xh(x) =

Answers

We want the answer in exponential form:

[tex]h(x)=a\cdot b^x[/tex]

where a and b are the constants to be determined. We can find a and b by substituting the given points and construct a system of equatons, that is, by replacing point (1,16) we have

[tex]\begin{gathered} 16=a\cdot b^1 \\ so \\ 16=a\cdot b \end{gathered}[/tex]

and by substituting point (5,1296), we get

[tex]1296=a\cdot b^5[/tex]

Then, we have 2 equations in 2 unknonws:

[tex]\begin{gathered} a\mathrm{}b=16 \\ a\mathrm{}b^5=1296 \end{gathered}[/tex]

By isolating a from the first equation and substituting this result into the second one, we get

[tex]\begin{gathered} (\frac{16}{b})b^5=1296 \\ \end{gathered}[/tex]

which gives

[tex]\begin{gathered} 16b^4=1296 \\ b^4=\frac{1296}{16} \\ b^4=81 \\ b=\sqrt[4]{81} \\ b=3 \end{gathered}[/tex]

Then, by substituting this result into the first equation of our system, we obtain

[tex]\begin{gathered} a\cdot3=16 \\ \text{then} \\ a=\frac{16}{3} \end{gathered}[/tex]

Therefore, the answer is

[tex]h(x)=\frac{16}{3}\cdot(3)^x[/tex]

If y varies jointly as x and z when x = 5, y = 80, and z = 8. what is y when x = 16 and z = 2?

Answers

We are given that y varies jointly as x and z

Mathematically,

[tex]y=kxz[/tex]

Where k is the constant of proportionality.

When x = 5, y = 80, and z = 8

[tex]\begin{gathered} y=kxz \\ 80=k\cdot5\cdot8 \\ k=\frac{80}{5\cdot8} \\ k=2 \end{gathered}[/tex]

So, the relationship becomes

[tex]y=2xz[/tex]

What is y when x = 16 and z = 2?

[tex]\begin{gathered} y=2xz \\ y=2\cdot16\cdot2 \\ y=64 \end{gathered}[/tex]

Therefore, the value of y is 64

Which choice is equivalent to the fraction below? (Hint: Rationalize the denominator and simplify.)A.B.C.2D.

Answers

Given: A fraction

[tex]\frac{2-\sqrt{2}}{2+\sqrt{2}}[/tex]

Required: To simplify the given fraction.

Explanation: The given fraction can be simplified by rationalizing the denominator of the fraction. The rationalizing factor is

[tex]2-\sqrt{2}[/tex]

Hence,

[tex]\begin{gathered} \frac{(2-\sqrt{2})}{2+\sqrt{2}}\times\frac{(2-\sqrt{2})}{(2-\sqrt{2})} \\ \frac{(2-\sqrt{2})^2}{(2)^2-(\sqrt{2}^{)2}} \end{gathered}[/tex]

Which gives

[tex]\begin{gathered} \frac{4+2-4\sqrt{2}}{4-2} \\ \frac{2(3-2\sqrt{2})}{2} \\ 3-2\sqrt{2} \end{gathered}[/tex]

Final Answer: Option A is correct.

Which expressions are equal to 10^5? ☐ (10^4)¹ 10³x10² 1/10^5 (10³) ² 10x10x10x10x10​

Answers

Using the rule of exponents, the only expressions that are equal to 10⁵ are; 10³x10² and 10x10x10x10x10​

How to use Laws of Exponents?

The laws of exponents are as follows;

1) The Product Rule for Exponents: To get the product of two numbers that have the same base, ensure you add the exponents.

2) The Quotient Rule for Exponents: To get the quotient of two numbers that have the same base, ensure that you subtract the exponent of the denominator from the exponent of the numerator.

3) The Power Rule for Exponents: To raise a number with an exponent to a power, ensure that you multiply the exponent times the power.

4) Negative Exponent Rule: Make sure to Invert the base in order to change a negative exponent into a positive.

5) Any non-zero number that is raised to the zeroth power is 1.

We want to find an expression that is equivalent to 10⁵. Thus, applying the rules of exponents above, the only one that is correct is 10 ³x 10² or 10x10x10x10x10​

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What is the slope of the line that contains the points (9,-4) and (1,-5)?O A. -B. 1C. -1D. /718

Answers

Answer: D. 1/8

Explanation

The slope of the line can be calculated with:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the two points given. Then:

• x₁ = 9

,

• y₁ = –4

,

• x₂ = 1

,

• y₂ = –5

Thus, replacing the values and simplifying:

[tex]m=\frac{-5-(-4)}{1-9}[/tex][tex]m=\frac{-5+4}{-8}[/tex][tex]m=\frac{1}{8}[/tex]

Please help with math problem FAST

Answers

it is A because you just add the 3y over
The answer is A because you just need to use the move over method

Convert the following point from polar to Cartesian coordinates. Write the exact answer as an ordered pair. Do not round.(s. - 2)5.2.3

Answers

Answer::

[tex](-2.5,-2.5\sqrt{3})[/tex]

Explanation:

Given the point in polar coordinate:

[tex]\left(5,-\frac{2\pi}{3}\right)[/tex]

To convert to Cartesian coordinates, use the formula below:

[tex](x,y)=(r\cos\theta,r\sin\theta)[/tex]

Thus:

[tex]\begin{gathered} (x,y)=\left(5\cos\left(-\frac{2\pi}{3}\right),5\sin\left(-\frac{2\pi}{3}\right)\right) \\ =\left(5\times-\frac{1}{2},5\times-\frac{\sqrt{3}}{2}\right) \\ =(-2.5,-2.5\sqrt{3}) \end{gathered}[/tex]

The Cartesian coordinates are:

[tex](-2.5,-2.5\sqrt{3})[/tex]

Usqqe format HTH to mean that the first toss is heads, the second is tails and the third is heads more than one element in the set, separate them with commas

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: State the number of outcomes possible for three tossing of a coin

Since a coin has two possible outcomes and is tossed three times, the total outcomes will be:

[tex]\begin{gathered} 2^3=8 \\ 8\text{ outcomes} \end{gathered}[/tex]

STEP 2: Find the number of sample spaces for the three tosses

STEP 3: Get the outcomes of the events for which the second toss is tails

Hence, the answers are given as:

Sample Space:

[tex]\lbrace HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\rbrace[/tex]

The event that the second toss is tails:

[tex]\lbrace HTH,HTT,TTH,TTT\rbrace[/tex]

At an aquarium, researchers are preparing a mixture of salt water. The desired ratio is 90 grams of salt per liter of water.1 ounce= 28.35 grams1 gallon= 3.8 literswhat is the ratio in ounces per gallon

Answers

Based on the question, the ratio of the salt mixture is:

[tex]\frac{90grams}{1\text{liter}}[/tex]

So, if we have 3.8 liters in 1 gallon, we would need 90grams x 3.8 = 342 grams of salt in 1 gallon.

[tex]\frac{90grams}{1\text{liter}}\times\frac{3.8liters}{1\text{gal}}=\frac{342grams\text{ }}{1gal}[/tex]

The next step is to determine how many ounces are there in 342 grams. If 1 ounce = 28.35 grams, then 342 grams divide 28.35 grams = 12.06. Hence, in 342 grams, there are 12.06 ounces.

Thus, we can say that:

[tex]\frac{342\text{grams}}{1\text{gal}}=\frac{12.06\text{ounces}}{1\text{gal}}[/tex]

The ratio of the salt mixture is 12.06 ounces per gallon.

g+3 1/2=10 answer to g

Answers

Answer:  

Exact form: G = 12/2

decimal form: G = 6.5

How many units can be obtained from f(x) =|x+7|−6 if the graph has been shifted down and left?

Answers

The translation we need to get f(x) is a translation of 7 units to the left and 6 units down.

Which shift do we have here?

I assume we want to identify the transformation that we need to apply to the parent absolute value function |x| in order to get f(x).

Remember that a horizontal translation of N units and a vertical translation of M units is written as:

y = |x - N| + M

In this case we have:

f(x) = |x + 7| - 6

Comparing it with the formula above, we get:

N = -7

M = -6

This means that we have a translation of 7 units to the left, and 6 units down.

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subtract P - 2 q + r from the sum of 10 P - R and 5 p + q​

Answers

Answer:

14p +4q-2r

Step-by-step explanation:

Sum of (10p-r+5p+2q)

10p+5p+2q-r

15p+2q-r

Now subtract( p-2q+r) from (15p+2q-r)

(15p+2q-r) - (p-2q+r)

15p+2q-r-p+2q-r

15p-p+2q+2q-r-r

14p +4q-2r

The answer is 14p +4q-2r

A clock takes 12 seconds to strike 4. How long does it take to strike 12?

Answers

•answer:
36 seconds

working out:
•4= 12 seconds
and 4x3=12
so if you do 12x3 it’s 36

Answer If the answer is not 36 you have to look at the way the sentence is structured . Time is taken between hours not on them The answer should be 44. To go on 4 it takes four strikes on three spots that take a total of 12 secs and four per space

So the answer should be 44

Which expression simplifies to 5? 7 points A. 27/3 -- 14 B. 27/3 + 4 C. --27/3 -- 4 D. --27/3 + 4

Answers

The expression simplifies to 5 is  -27/3 +14 .

The option D is correct.

What is Simplification?

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter.

Given,

Which expression simplifies to 5?

Here, Options are

A. 27/3 - 14

= 9 - 14 = -5

B. 27/3 + 4

= 9 + 4 = 13

C. --27/3 - 4

= -9 - 4 = -13

D. -27/3 +14

= -9 + 14 = 5

Hence, The expression simplifies to 5 is  -27/3 +14 .

The option D is correct.

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Mai works a total of 31 hours per week at two jobs. The number of hours she works at a coffee stand is 5 less than 2 times the number of hours she works at the animal shelter. How many hours does Mai work at the animal shelter?

Show the equation you use and your work solving the equation.

Answers

Answer:

12

Step-by-step explanation:

Let x = number of hours at the shelter

"The number of hours she works at a coffee stand is 5 less than 2 times the number of hours she works at the animal shelter."

The number of hours at the coffee stand is

2x - 5

The total number of hours is 31, so x added to 2x - 5 must equal 31.

2x - 5 + x = 31

3x - 5 = 31

3x = 36

x = 12

She works 12 hours at the shelter.

You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a nine the first time and a heart the second time

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

You draw one card from a​ 52-card deck.

Then the card is replaced in the deck and the deck is​ shuffled, and you draw again.

Find the probability of drawing a nine the first time and a heart the second time​

Step 2:

From the question, we can see that the probability of drawing a nine the first time and a heart the second time​ is:

[tex]\frac{4}{52\text{ }}\text{ x }\frac{13}{52}=\text{ }\frac{52}{52\text{ x 52}}=\frac{1}{52}[/tex]

CONCLUSION:

The probability of drawing a nine the first time and a heart the second time​ is:

[tex]\frac{1}{52}[/tex]



Slope: -1
Point 3,-5

Answers

If the answer is asking for slope-intercept form, answer is:
y=-x-2
Slope is -1
y intercept is -2

A pancake recipe for Christ 3 1/3 cups of milk to 1 cup of flour. At 3 3/4 cups of milk is used, what quantity of flour will be needed, according to the recipe?

Answers

Given:

3 1/3 cups of milk to 1 cup of flour

3 3/4 cups of milk

So:

[tex]\frac{3\frac{1}{3}}{3\frac{3}{4}}=\frac{1}{x}[/tex]

Simplify:

[tex]\begin{gathered} \frac{\frac{10}{3}}{\frac{15}{4}}=\frac{1}{x} \\ \frac{10\times4}{3\times15}=\frac{1}{x} \\ \frac{40}{45}=\frac{1}{x} \\ \frac{8}{9}=\frac{1}{x} \end{gathered}[/tex]

Solve for x:

[tex]\begin{gathered} 8\cdot x=1\cdot9 \\ 8x=9 \\ \frac{8x}{8}=\frac{9}{8} \\ x=\frac{9}{8}=1\frac{1}{8} \end{gathered}[/tex]

Answer:

[tex]1\frac{1}{8}[/tex]

Please help and provide explanation I want to understand this!

Answers

We will have to find the equation that follows the form:

[tex]a+bx=y[/tex]

That is:

*The value of a is:

[tex]a=547.4666667[/tex]

*The value of b is:

[tex]b=29.91428571[/tex]

So, the linear regression is:

[tex]y=29.91428571x+547.4666667[/tex]

We can see it graphically as follows:

Here we can see the linear regression line and the points used.

***How to manually determine linear regressions***

We will start as follows:

We will have to use the following expressions in order to manually find the linear regression:

[tex]b=\frac{n(\sum^{}_{}xy)-(\sum^{}_{}x)(\sum^{}_{}y)}{n(\sum^{}_{}x^2)-(\sum^{}_{}x)^2}[/tex]

And:

[tex]a=\frac{\sum ^{}_{}y-b(\sum ^{}_{}x)}{n}[/tex]

Here we have that n is the number of values on the dataset. So, we solve for b as follows [Based on the problem given]:

*We will determine the values of n, the sum of x, the sum of y, xy, x^2 & y^2 as follows:

Sum of x:

[tex]\sum ^{}_{}x=1+2+3+4+5+6\Rightarrow\sum ^{}_{}x=21[/tex]

Sum of y:

[tex]\sum ^{}_{}y=588+298+640+650+707+730\Rightarrow\sum ^{}_{}y=3913[/tex]

Value of n: We have that the number of datasets given is 6 [6 pairs of values on the table].

[tex]n=6[/tex]

*The sum of xy:

[tex]\sum ^{}_{}xy=(1)(588)+(2)(598)+(3)(640)+(4)(650)+(5)(707)+(6)(730)\Rightarrow\sum ^{}_{}xy=14219[/tex]

*The sum of X^2:

[tex]\sum ^{}_{}x^2=1^2+2^2+3^2+4^2+5^2+6^2\Rightarrow\sum ^{}_{}x^2=91[/tex]

*The square of the sum of x:

[tex](\sum ^{}_{}x)^2=21^2\Rightarrow(\sum ^{}_{}x)^2=441[/tex]

Now that we have all the values, we replace in the first equation and solve for b:

[tex]b=\frac{(6)(14219)-(21)(3913)}{(6)(91)-(441)}\Rightarrow b=29.91428571[/tex]

And we solve now for a:

[tex]a=\frac{(3913)-(29.91428571)(21)}{(6)}\Rightarrow a=548.4666667[/tex]

And then we simply replace on the expression:

[tex]y=bx+a[/tex]

And the expression after the replacement of a & b is the linear regression.

Tyler’s monthly allowance is $42 dollars and Jeremiah’s allowance is $63. How many times Jeremiah’s monthly allowance is Tyler’s monthly allowance?

Answers

They are the same allowance when Tyler is on his 3rd month and Jeremiah is on his 2nd month. This is because 63-42=21 so every month Jeremiah is gaining $21 more every month so after the second month he gains exactly his monthly allowance more allowing for them to have the same amount of money when Tyler is on his 3rd month and Jeremiah is on his 2nd month.

The Rodriguez family has a fixed incomeof $4,000 a month. Their fixed expensesare $1,800 a month. They save at leastone fourth of the remaining income eachmonth. What is the minimum amountsaved by the Rodriguez family in a year?

Answers

we know that

The Rodriguez family has a fixed income of $4,000 a month.

Their fixed expenses are $1,800 a month

so

The remaining amount in a month is

4,000-1,800=$2,200

The one fourth of the remaining income is

(1/4)(2,200)=$550

To find out the minimum amount in a year, multiply $550 by 12

550*(12)=$6,600

therefore

the answer is$6,600

help me please !!!




thank youuu

Answers

Answer:

Step-by-step explanation:

I am not entirely sure that this is correct, but I believe the interval notation of your point is (∞,-4). I hope this helps you!

For a standard normal distribution, given:

P(z < c) = 0.9663

Find c.

Answers

The value of c for a standard normal distribution, P(z < c) = 0. 9663 is 0.47.

What is standard normal distribution?

The standard normal distribution table gives the probability of a regularly distributed random variable Z, whose mean is equivalent to 0 and difference equal to 1, is not exactly or equal to z. The normal distribution is a persistent probability distribution.

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Given that P(z < c) = 0. 9663; hence:

From the normal distribution table, c = 0.47

The value of c for a standard normal distribution, P(z < c) = 0. 9663 is 0.47.

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State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.A No; it is a ratioBYes; degree 1CNo; x is a negative termDYes; degree 4

Answers

Given:

The function is,

[tex]\frac{8-x^4}{9}[/tex]

It can be written as,

[tex]\frac{8}{9}-\frac{x^4}{9}[/tex]

Polynomial is a combination of terms seperated using + and - sign which does not contain,

1) Variable in demominator

2) Variables under radical

3) special features like trigonometric function, absolute values etc.

So, it shows that the given function is polynomial with degree 4.

Answer: option D)

help me please


thank you

Answers

Answer:

Domain: [tex](-\infty, \infty)[/tex]

Range: [tex](-\infty, 4][/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

what is the greatest common factor of 18 and 24 with 18/24 in the simplest form i do not understand how to do this

Answers

Answer:

Greatest common factor: 6

The simplest form of 18/24 = 3/4

Explanation:

First, we need to identify the factors of 18 and 24. The factors are the numbers that divide 18 and 24.

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.

Then, the common factors are: 1, 2, 3, and 6

Finally, the greatest common factor is 6.

On the other hand, if we want to write 18/24 in the simplest form, we need to divide both numbers by the greatest common factor, so:

[tex]\frac{18\div6}{24\div6}=\frac{3}{4}[/tex]

So, 18/24 in the simplest form is 3/4

First Drop down: Yes or NOSend drop down: is or is not

Answers

Looking at the number line, the length between 0 and 1 is not divided into 3 equal parts. Hence, the answer is no. Victoria is not correct.

First drop-down: No

Second drop-down: is not

If sin 0
=
40/41 and lies in Quadrant I, what does tan theta equal to?

Answers

answer of this trigonometric function is 4.49

what is trigonometric function?

The trigonometric functions are real functions that connect the angle of a right-angled triangle to the ratios of its two side lengths. They are also known as circular functions, angle functions, or goniometric functions.

LETS ASSUME Given  sinθ= 40/41

tan(θ)= sinθ/[tex]\sqrt{1-sin^{2} (theta) }[/tex]....(1)

putting sin theta value in  (1)

⇒tan(θ)= 4.49

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Find the value for k given the line through (-1, k) and (-7, -2) is parallel to the line y = x + 1.

Answers

The value of k is 4 , the line through (-1,k) and (-7, -2).

Given,

The line through (-1, k) and (-7, -2) is parallel to the line y = x + 1.

To find the value of k

Now, According to the question is:

For Parallel lines, We know that

It has same slope as y = x + 1

Also, We know y = x +1 has slope of 1.

Using the formula for the slope :

m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Now, For value k

We have, 1 = (-2-k)/(-7-1)

=> 1 = (-2-k)/(-6)

=> -6 = -2 -k

=> -6+2 = -k

=> k = 4

Hence, The value of k is 4.

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3.5.3 Test (CST): Functions Does this graph show a function? Explain how you know. 66 PE -2 E C N 6 8 A. No; there are y-values that have more than one x-value. B. Yes; the graph passes the vertical line test. C. Yes; there are no y-values that have more than one x-value. D. No; the graph fails the vertical line test. here is the answer for the people who need it​

Answers

B yes the graph passes the vertical línea text
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