Which of the following are solutions to the equation below?


4x^2 + 4x + 1 = 9


Check all that apply

Answer:

B.

Step-by-step explanation:

if x is 3 then you just substitue every instance of x as 3. 2(x-4) + 3x - x^2 =

2(3 - 4) + 3(3) - 3^2 =

6-8 + 9 - 9 =

-2

Answer:

Step-by-step explanation:

there is no root in denominator so I think it is rationalised

negative number taken to an odd power gives a negative result (because, after cancelling, there will be one minus sign left over).

the answer is always. negative numbers raised to odd powers remain negative. negative numbers raised to even powers become positive.

Answer:

equate two simultaneous equations for r and solve

Using it's concept, it is found that the probabilities are given as follows:

a) 0.0527 = 5.27%.

b) 0.0088 = 0.88%.

c) 0.0098 = 0.98%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

6 out of 16 songs are of the Beatles, hence the probability of a single music being from the Beatles is:

[tex]pB = \frac{6}{16} = \frac{3}{8}[/tex]

Of three musics, the probability is:

[tex]p = \left(\frac{3}{8}\right)^3 = 0.0527[/tex]

Item b:

For the Rolling stones, the probability is:

[tex]pR = \frac{4}{16} = \frac{1}{4}[/tex]

For the four musics, the probability is:

[tex]p = \left(\frac{1}{4}\right)^2 \times \left(\frac{3}{8}\right)^2 = 0.0088[/tex]

Item c:

For the doors, the probability is:

[tex]pD = \frac{2}{16} = \frac{1}{8}[/tex].

For Beatles or Rolling stones, the probability is:

[tex]pBR = \frac{10}{16} = \frac{5}{8}[/tex]

For the three musics, the probability is:

[tex]p = \left(\frac{1}{8}\right)^2 \times \frac{5}{8} = 0.0098[/tex]

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Answer:

The sum of the polynomials is a 7th degree polynomial.

The difference of the polynomials is a 7th degree polynomial.

Step-by-step explanation:

Janie's polynomial is a 3rd degree with only x terms. Maybe she wrote:

f(x) = x^3

or maybe she was fancy and wrote:

f(x) =

x^3 + 2x^2 - 7x + 4

could be anything really, but the biggest exponent is 3.

Then Max does like:

g(x) = x^7

or

g(x) = x^7-x^4-3x+2

Whatever he made up, but the biggest exponent is 7.

So if they add or subtract their two polynomials, there's no x^7 in Janie's to add with the x^7 in Max's. MAYBE Max put some x^3 or x^2 or x or constants that might combine with the terms in Janie's.

Either way, anything that Max put in his polynomial that is a bigger power than 3 (4th, 5th, 6th, or 7th power) is just going to end up in the sum or difference.

Step-by-step explanation:

Answer:

14a+2

Step-by-step explanation:

Perimeter of a rectangle: P=2(l+w) where l=length and w=width.

So P=2[(4a-1)+(3a+2)]=2(4a-1+3a+2)=2(4a+3a-1+2)=2(7a+1)=14a+2.

The expression to find the perimeter of the rectangle is 14a + 2.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

Given that,

Sides of a rectangle is represented as 4a - 1 and 3a + 2.

Perimeter of a rectangle is represented as,

Perimeter = 2 (l + w)

Here l is the length and w is the width.

Substituting,

Perimeter = 2 (4a - 1 + 3a + 2)

                = 2(7a + 1)

                = 14a + 2

Hence the expression to find the perimeter is 14a + 2.

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Answer: No answer

Step-by-step explanation:

You can calculate for x, because the equation isn't equal to anything.

The area of the octagon having an apothem of 6 meters and a side length of 7 meters is 168 meter square

Using the formula:

Area of an octagon = perimeter * apothem / 2

Note that perimeter of an octagon = 8 a

where a is the length of it's side

Perimeter = 8 * 7

Perimeter = 56 meters

Apothem = 6 meters

Substitute into the formula

Area = 56 * 6/ 2

Area = 336 / 2

Area = 168 meter square

Thus, the area of the octagon is 168 meter square

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Answer:

60

Step-by-step explanation:

2hrs = 120

120/30= 4

4×15=60

Answer:

60 pages :)

Step-by-step explanation:

First we turn the hours into minutes to make it easier :)

1 hr = 60 minutes

2 hrs = 120 minutes

Now that we have done that, we divide :)

120/30 =4

And now we multiply 1 more time :)

4 x 15 = 60

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex]a+b=-5[/tex]

[tex]-(a+b)=-a-b=5[/tex]

[tex]\frac{|-5| + 5}{|5|}[/tex]

[tex]\frac{5+5}{5}[/tex]

[tex]2[/tex]

Answer:

2

Step-by-step explanation:

Given:

To find -a - b  

Factor out the common term -1:

⇒ -a - b = -(a + b)

Substitute a + b = -5:

⇒ -a - b = -(-5)

Apply rule -(-x) = x:

⇒ -a - b = 5

Therefore:

[tex]\begin{aligned}\implies \sf \dfrac{|a+b|+5}{|-a-b|} & = \sf \dfrac{|-5|+5}{|5|}\\\\& = \sf \dfrac{5+5}{5}\\\\& = \sf \dfrac{10}{5}\\\\& = \sf 2\end{aligned}[/tex]

Note:  |-x| = x

Answer:

He says the answer is 40°

Step-by-step explanation:

Answer is on brainly, here is the link to the answer. Hope it helps with your question!

https://brainly.com/question/4354055?referrer=searchResults

Hope this helps!

If not, I am sorry.

Answer:

5^20

Step-by-step explanation:

since you have brackets around (5^5) you can multiply the exponents. if you think about it what you're essentially doing is

(5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) *

(5 * 5 * 5 * 5 * 5)

which is why you can multiply the exponents to simplify

Answer:

3x^2 + 6x + 4

Step-by-step explanation:

6x + 7 + x^2 + 2x^2 - 3 = 3x^2 + 6x + 4

Answer:

3x²+6x+4

Step-by-step explanation:

Given:

(6x+7+x²) + (2x²-3)

Aim:

To add the polynomials

Solution:

Removing brackets first:

Collecting like terms to each other,

Simplifying,

Rewriting it as,

Second choice is accurate.

The scale factor of the enlargement will be 3. Then the center of enlargement is marked in the diagram.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

Shape A is enlarged to give shape B.

Then the scale factor of the enlargement will be

⇒ 3 / 1

Then the center of enlargement is marked in the diagram.

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Answer:

d) 150%

Step-by-step explanation:

[tex]x=25*300\%=25*3=75\\[/tex]

[tex]y=25\%*40+40=50[/tex]

[tex]x/y*100\%=75\div50*100\%=150\%[/tex]

Answer:d

150%

Step-by-step explanation:

Answer:

putting the values of coordinates in equation to check for the solution.

For A

2x + y < 10

2(-5) + 4 < 10.

-10 - 4 < 10

-14 < 10 ( true)

2x - 4y > 8

2(-5) - 4(4) > 8

-10 - 16 > 8

-26 > 8

false..

it is not the solution of the equation.

similarly we can find for other coordinates.

E is the solution

Answer:

+ 10.53 % change

Step-by-step explanation:

Percent change is   4 more people added to 38

   4 / 38  * 100% = 10.53 %

True. We can probably expect that yacht sales will go down and the government will not collect lots of new tax revenues.

It is given that the US government has put a 20% luxury tax and the price elasticity for these yachts is elastic at 2.50.

Due to the new tax on luxury goods, it can be estimated that the sales of yachts go down as the maximum retail price of the yachts will become more expensive. This can mean that fewer people than before will be able to afford the yachts. Due to fewer sales, the government will not have enough tax revenues.

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Answer:

17.7 (2 dp)

Step-by-step explanation:

[tex] \sqrt{ {16}^{2} + {7.5}^{2} }[/tex]

Answer: 10

Step-by-step explanation:

√( 7^2 + 7^2 ) = 10

Hey there ! please refer to the attachment .

I hope its help you !

When you acquire stock in a firm, you are acquiring a little portion of that company known as a share. The correct option is A.

When you acquire stock in a firm, you are acquiring a little portion of that company known as a share. Investors buy stocks in firms they believe will increase in value. If this occurs, the value of the company's shares rises as well.

For a 70-year-old investor, selling a weak stock at a loss may be a smart move to avoid potential additional future losses.

Hence, the correct option is A.

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AC is equal to BC by the corresponding side of a congruent triangle.

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

The midpoint of a line segment means a point that lies in the mid of the given line segment.

If D is the midpoint of segment AB, then AD = BD.

So in a triangle ACD and BCD

AD = BD (by midpoint D)

angle ADC = angle BDC = 90

CD = CD (common)

Therefore, triangle ACD and BCD are congruent.

Hence, AC = BC by the corresponding side of a congruent triangle.

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Answer:

5

Step-by-step explanation:

Count the digits.

Answer:

The mean will increase more than the median, but both will increase.

[third option listed]

Step-by-step explanation:

the median of a data set is the number in the middle [when listed from lowest to highest in value]

1 2 3 4 5 6 7 8 9 10 11 12 13

is the current median

let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)

1 2 3 4 5 6 7 8 9 10 11 12 12 13

[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]

so, 7.5 is the current median

(this is an increase of 0.5)

--

the mean of a data set is what we commonly refer to as the "average"

[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]

1 2 3 4 5 6 7 8 9 10 11 12 13

mean of original data set:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]

_______________________________________

                                    13

[91 ÷ 13 = 7]

because our number is greater than our original mean [12 > 7], we know that the mean must increase:

[91 + 12 = 103]

[103 ÷ 14 ≈ 9.36]

[we had an increase of 2.36]

so, median increased by 0.5, mean increased by 2.36

so, both values increased, whilst the mean increased by more than the median [as to be expected]

you could also express this as "The mean will increase more than the median, but both will increase." [third option listed]

hope this helps!! :)