Which of the following could be a helpful first step in solving this equation for q?

p2q+2q=11
Question 5 options:

Combine p2q+2q

Divide the whole equation by 11.


Divide the first term by p2

Factor a q out of p2q+2q

Answers

Answer 1

Answer:

D: Factor a q out of p^2 q+ 2q

Step-by-step explanation:

I took the test. Hope it was helpful! :)

Answer 2

The first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the equation is,

p²q+2q=11

Take q common from the L.H.S as

q(p²+2)=11

The value of q is obtained by rearranging the equation as,

q=11/(p²+2)

The value of q obtained after solving the equation p²q+2q=11 will be q=11/(p²+2).

Thus, the first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.

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Related Questions

Integrate :
[tex]\red{\footnotesize\displaystyle\bf \int cos^3 4x\:\:dx}[/tex]


Answers

Recall the half-angle identity for cosine:

cos²(x) = 1/2 (1 + cos(2x))

Then we can rewrite the integrand as

cos³(4x) = cos(4x) cos²(4x) = 1/2 cos(4x) (1 + cos(8x))

So we have

[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int (\cos(4x) + \cos(4x)\cos(8x)) \, dx[/tex]

Next, recall the cosine product identity,

cos(a) cos(b) = 1/2 (cos(a - b) + cos(a + b))

so that the integral is equivalent to

[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int \cos(4x) \, dx + \frac14 \int (\cos(4x - 8x) + \cos(4x + 8x)) \, dx[/tex]

[tex]\displaystyle \int \cos^3(4x) \, dx = \frac34 \int \cos(4x) \, dx + \frac14 \int \cos(12x) \, dx[/tex]

Computing the rest is trivial:

[tex]\displaystyle \int \cos^3(4x) \, dx = \boxed{\frac3{16} \sin(4x) + \frac1{48} \sin(4x) + C}[/tex]


Which table represents a linear function?

Answers

The table that represents a linear function, having a slope value of 2 is: Table 4 (see image attached below)

Recall:

A function that is linear has a dependent and independent variable, such that y = mx + b.The "m" represents the slope which is the same all through the points given.m = change in y / change in x

Thus, the fourth table has the following slope (m) that is the same across all points.

Using two pairs of points, (0, 1) and (1, 3):

Slope = 3 - 1/1 - 0 = 2/1

Slope (m) = 2

Any two pairs of points we use will give us the same slope (m) of 2.

Table 1, 2 and 3 will give us different slopes across the points on each table, meaning they do not represent a linear function.

Therefore, the table that represents a linear function, having a slope value of 2 is: Table 4 (see image attached below).

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Use the function g(x)=11 to find the following values
g(-3)

Answers

Answer: https://www.bing.com/search?q=https%3A%2F%2Fwww.chegg.com%2Fhomework-help%2Fquestions-and...%0A&form=IPRV10

Step-by-step explanation: There you will find your answer

The value of g(-3) comes to be 11 because g(x) is a constant function.

Given function is:

g(x) =11

Function g(x) is a constant function because g(x) is independent of x.

How graph of a constant function look like?

The graph of a constant function is parallel to the y-axis and gives the same output for any input given to the function.

So, The value of g(-3) will be the same as the value of g(x) i.e. 11

So, value of g(-3) = 11

Therefore, The value of g(-3) comes to be 11 because g(x) is a constant function.

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What is the numerical answer?
length = inches

Answers

Answer:

31.5 inches

Step-by-step explanation:

If 2 centimeters is 9 inches, then 1 centimeter is 4.5 inches. Then, just multiply by 7.

1. In the expression at aⁿ,n is called
a. exponent
b.base
c. variable
d.number​

Answers

a. exponent that is a short answer but i need more words hope u have a good day :)

What is the volume of a cylinder in cubic feet of a cylinder with a height of 3ft and a base diameter of 18ft, round to the nearest tenths place

Answers

Answer:

763.4 ft^3 to the nearest tenth.

Step-by-step explanation:

The base radius = 1/2 * 18 = 9 ft.

The volume = π r^2 h

=  π * 9^2 * 3

= 763.407 f^3.

Vhich number line represents the solution of 4x - 9> -21?

Answers

Answer:4x -9 >= -21

4x >= -12

x >= -12/4

x >= -3  

so this number line started with -3 and go away till + infinity  

hope this will help you

Step-by-step explanation:

HELP ASAP
In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there?
A
20
B
30
C
18
D
16

Answers

Answer:

C, 18.

Step-by-step explanation:

Since 24 divided by 8 is 3, which means that

8x3 = 24, then the amount of boys must be solved using the equation 6x3 which equals 18.

The answer is c just believe me

there are 350,000 in a warehouse predict the number of light bulbs that are likely to have no defects

Answers

Answer:

175000.(or around that number)

Step-by-step explanation:

half of 350,000 is 175000.

You need to purchase supplies for an employee appreciation picnic. Your boss gives you the shopping list below and asks that you get the best deal by buying from one grocer, either Quality Groceries or Fresh Market. You call both grocers, and they provide the price information that you put into the table. Which grocer will provide all these picnic supplies for the lowest cost, and what is that cost without sales tax?

Answers

Answer:

Hi there, this is what I got but sorry if it is incorrect.

Hamburger Patties Package of 10 $15.50 Package of 8 $12.40

Hot Dogs Package of 12 $6.23 Package of 10 $4.99

Hamburger Buns Package of 8 $3.79 Package of 8 $3.55

Hot Dog Buns Package of 12 $2.75 Package of 8 $2.55

Potato Salad Gallon $4.33 Gallon $5.55

Ice Cream Gallon $7.55 Gallon $6.99

Answer:

its )B

Step-by-step explanation:

7x+3y=m, solve for y

Answers

Y= (m-7x)/3

We need to subtract 7x on both sides
Then divide the entire thing by 3

Write the equation of the line in y=mx + b form

Answers

Answer:

y=-4x+2

Step-by-step explanation:

all you need to do is find the x-axis and y-axis. That information is already there, so put It together

Which graph represents a proportional relationship?

Answers

Answer: The first graph

Step-by-step explanation:

A proportional graph always goes through the origin

Answer:

The first graph

Step-by-step explanation:

The length of a rectangle is 10 times its width. If the area of the rectangle is 52yd^2, find its approximate width.

Answers

Answer:

76377/9338912

Step-by-step explanation:

150-5r is greater than or equal to 87.5
Find the value of r?

Answers

Answer:

R=12.5

Step-by-step explanation:

In the xy-plane, a line crosses the y-axis at the point (2, 2) and passes through
the paint (-3, -13). Which of the following is an equation of the line?

Answers

I would say the 2 one and for that one it’s 3

Please find the correct answer will give high points, mark brainliest, give 4 stars, and hearts. PLS


Answers

Answer d is correct.
|0.35| is equal to 0.35, |-0.81| is equal to 0.81.
-|0.81| is equal to -0.81.
Answer d is correct because -|0.81| is equal to a negative number and is less than 0, and d is the only answer that states that

3|x + 7| + 6 = 18 How many solutions are there to the equation?

Answers

Answer:

There are two solutions.

Step-by-step explanation:

x = -3

x = -11

3x|x+7| +6 =18
Answer: 3x|x+7| = 18-6
3x|x+7|=12
|x+7|=4
x+7=4
x+7=-4
x=-3
x= -11
Solution or final answer:
x (put 1 under the x lower right of x)
x1 = -11, x2 = -3

the bottom the range has the same numbers so I just need the domain and range help plz!!

Answers

How to identify domain and range from co-ordinate pairs?

If a pair be (x,y)

Domain=x

Range=y

Hence.

In the graph here

[tex]\\ \sf\longmapsto D_f=0\leqslant x\leqslant y[/tex]

[tex]\\ \sf\longmapsto R_f=0\leqslant y\leqslant 14[/tex]

Which of the following statements are correct?
Please help

Answers

Answer:

True A. angles one and five are corresponding angles.

True B. angles three and six are alternate interior angles.

False C. angles two and seven are alternate interior angles.

Angles two and seven are alternate exterior angles.

False D. angles five and eight are alternate exterior angles.

Angles five and Eight are verticle angles.

False E. angles two and four are same-sided consecutive angles.

Angles two and four are supplementary angles

True F. angles four and six are same side consecutive angles.

True G. angles one and eight are alternate exterior angles.

Frame a linear equation for each of the following statements.
1. [tex]b[/tex]47 is 23 more than two times p.
2.[tex]b[/tex]One-fourth of p decreased by 3 gives −12
3.[tex]b[/tex]2 times p exceeds 15 by 3.
4. [tex]b[/tex]One-fifth of p decreased by 4 gives 6

Answers

Answer: chopstick

Step-by-step explanatio

SOMEONE PLEASE HELP ME

Answers

Answer:

D

Step-by-step explanation:

0.4 = 4/10 = 2/5

What is 59.56 rounded to the nearest whole number?​

Answers

Answer:

60

Step-by-step explanation:

10) Bernice recived the followine scores
on 5 Science test : 96, 7, 82, 96
and 89. Which of the following statements
is true
a) The mean and median of the set of
Scores are the same t to sonho
b) The mode of the set score is 96
of The median of the set score is 82
do the mean of the set is greater
than the median

Answers

The mode of the set score is 96

The correct answer is b) The mode of the set score is 96.

What is mean, median and mode?

The "mean" is the "average" of the set of values.

The "median" is the "middle" value in the list of numbers.

The "mode" is the value that occurs most often.

Now the given scores on 5 Science test are,

96, 7, 82, 96 and 89

So, Sum of all the scores = 96+7+82+96+89= 370

Mean :

Mean = Sum of all the scores / Number of tests

Mean = 370 / 5

Mean = 74

Median :

Median is the middle value after rearrangement

So, rearranging the scores we get,

7, 82,) 89,( 96, 96

Hence the median of the scores is 89

Mode :

Mode is the number occurring the most. Since 96 occurs the most, hence the mode is 96.

Thus, from the given option, the correct option is b) The mode of the set score is 96

Hence, the correct answer is b) The mode of the set score is 96.

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A department store sells a pair of shoes with a 15% discount. The original price of the shoes is $75. What is the sale price?

Answers

Answer:

$63.75

Step-by-step explanation:

10% = 7.5

5% = 3.75

15% = 11.25

75.00

-11.25

63.75

Use your work from above to find the sum of 501+502+503+…+800

Answers

Answer:

Step-by-step explanation:

Gauss n(n+1)/2

which is n? the last number of the sum

500(500 + 1)/2 = 125,250

800(800+1)/2 = 320,400

uh oh forgot to read the last one, give me a minute. done

(800 - 501 + 1)(800 + 501)/2

300(1301)/2 = 195,150

or

320,400 - 125,250 = 195,150

If an object's position over time is given by the function d(t)=(t^2 +3)e^-1/2 for greater than 0 , on what interval is the object's position increasing and concave down ?

Answers

Answer:

Step-by-step explanation:

[tex]d(t)=(t^2+3)e^\frac{-1}{2} \\d'(t)=2t e^{-\frac{1}{2} }\\it~ is~ increasing ~if~d'(t)>0\\e^{-\frac{1}{2} } =\frac{1}{e^\frac{1}{2} } >0\\so~t>0\\and~decreasing~if~t<0\\[/tex]

so it is concave upward at t=0

I DONT KNOW THIS QUESTION

Answers

**Answer**

11/4z + 6/20

**EXPLANATION**

Umm how to do rates

Answers

The definition of a rate in math is, the speed of something being gained in a problem, let's say we have a hot pipe that can full up a pool in 6 hours, our rate would be 1/6 of the pool per hour.

What is the image of the point (-3, 4) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

-3 ,-4

Step-by-step explanation:

Answer: ( 3 , -4)

Step-by-step explanation:

i got it wrong at first and it told me the right answer

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