What are the solutions of the equation (2x + +3)2 +
+ 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to
solve.
-40V5
O X=
-7± √5
OX=
O x= -7 and x = -2
O x= -1 and x = 4

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

By using the substitution method the solution to the given equation is

x = ±7/2 + √5/2

System of equation

Given the equation expressed as:

(2x +3)^2 + 8(2x + 3) + 11 = 0

Expand the equation

4x^2 + 12x + 9 + 16x + 24 + 11 = 0
4x^2 + 28x + 44 = 0
x^2 + 7x + 11 = 0

Factorize the result to have:

On factorizing the values of x are

x = ±7/2 + √5/2

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Related Questions

Find the value of x. The diagram is not to scale

Answers

Answer:

X- Intercepts= 50/3 0

Answer is C

None of these

A certain forest covers an area of 4500 km². Suppose that each year this area decreases by 3.75%. What will the area be after 10 years?
Use the calculator provided and round your answer to the nearest square kilometer.
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Answer:

Idkkkkkkkkkkkkkkkkkkkkk

In order to finance furniture for an office in a new retail store, Tools for Schools signs a 140-day simple discount note with a maturity value of $19300. Find the proceeds if the discount rate is 13.5%.

Answers

Answer:

I think it would be $ 66.23

I hope I can help you

have a nice day.

The proceeds of the simple discount note are approximately $18,296.16.

To find the proceeds of the simple discount note, we can use the formula:

Proceeds = Maturity Value - Discount

Where:

Maturity Value = $19,300 (given)

Discount = Maturity Value * Discount Rate * Time

The discount rate is 13.5%, which can be written as 0.135 in decimal form. The time is 140 days. Now, let's calculate the discount:

Discount = $19,300 * 0.135 * (140/360)

we divide by 360 because simple interest is typically based on a 360-day year.

Discount = $19,300 * 0.135 * 0.388888...

Discount ≈ $1,003.84 (rounded to two decimal places)

Now, let's find the proceeds:

Proceeds = $19,300 - $1,003.84

Proceeds ≈ $18,296.16 (rounded to two decimal places).

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A recipe for making paste calls for a ratio of flour to water of 4:2. If you only have 2 cups of flour, how much water should you put in? Explain how you know.

Answers

Answer:

1 Cup of Water

Step-by-step explanation:

Well, this is pretty simple.

This questions topic is known as Equivalent Ratios.

To find an equivalent ratio, add or divide the numbers by the same amount.

Let's do it together.

4:2 is the ratio we already have. If we have to make it have 2 cups of flour, let's divide 2 on both sides.

Since 4 divided by 2 is 2, and 2 divided by 2 is 1,

We can confirm that you would need to put in 1 cup of water.

Answer:

fuxudificldid7dici hahahaahahha

Please hurry!! Thanks

Answers

Answer:

1,3,8

Step-by-step explanation:

1 is 88 because 88 and 1 are virtcle angles so those are the same

2 is 92 due to the fact that it is NOT congruent to 88 so 180-88=92

hope this helped :)

a.
Which of the following is a cause of inflation?
consumers growing apathetic and failing to notice attempts to raise prices
b demand continually exceeding supply, leading to an imbalance of money and goods in the
market
C a natural consequence of the use of money instead of trade goods
d government intervention demanding that prices be raised

Answers

Answer:

D. government intervention demanding that prices be raised

Step-by-step explanation:

Inflation means when prices increase and fall in purchasing value of money. The only logical answer would be "Government intervention demanding that prices be raised. " Because it is the only one that talks about prices increasing.

The answer choice which is a cause of inflation is; Choice B; demand continually exceeding supply, leading to an imbalance of money and goods in the market.

What is then cause of Inflation?

Inflation is simply a measure of the rate of rising prices of goods and services in an economy. More specifically, a surge in demand for products and services can cause inflation as consumers are willing to pay more for such product in less supply.

Read more on inflation;

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Graph the inequality on the axes below.
x + 2y > 2

Answers

Answer:

can you like give options or?-

Step-by-step explanation:

the 6th term of a GP is 2000. Find its first term if it's common ratio is 10​

Answers

Answer:

0.02 or 1/50...AR n-1..... so A is the unknown

you use a line of best fit for a set of data to make a prediction about an unknown value. the correlation coeffecient is -0.833 can you be confident that your predicted value will be reasonably to the actual value? why or why not?

please help.

Answers

Answer: The square root of π has attracted attention for almost as long as π itself. When you’re an ancient Greek mathematician studying circles and squares and playing with straightedges and compasses, it’s natural to try to find a circle and a square that have the same area. If you start with the circle and try to find the square, that’s called squaring the circle. If your circle has radius r=1, then its area is πr2 = π, so a square with side-length s has the same area as your circle if s2  = π, that is, if s = sqrt(π). It’s well-known that squaring the circle is impossible in the sense that, if you use the classic Greek tools in the classic Greek manner, you can’t construct a square whose side-length is sqrt(π) (even though you can approximate it as closely as you like); see David Richeson’s new book listed in the References for lots more details about this. But what’s less well-known is that there are (at least!) two other places in mathematics where the square root of π crops up: an infinite product that on its surface makes no sense, and a calculus problem that you can use a surface to solve.

Step-by-step explanation: this is the same paragraph The square root of π has attracted attention for almost as long as π itself. When you’re an ancient Greek mathematician studying circles and squares and playing with straightedges and compasses, it’s natural to try to find a circle and a square that have the same area. If you start with the circle and try to find the square, that’s called squaring the circle. If your circle has radius r=1, then its area is πr2 = π, so a square with side-length s has the same area as your circle if s2  = π, that is, if s = sqrt(π). It’s well-known that squaring the circle is impossible in the sense that, if you use the classic Greek tools in the classic Greek manner, you can’t construct a square whose side-length is sqrt(π) (even though you can approximate it as closely as you like); see David Richeson’s new book listed in the References for lots more details about this. But what’s less well-known is that there are (at least!) two other places in mathematics where the square root of π crops up: an infinite product that on its surface makes no sense, and a calculus problem that you can use a surface to solve.

Marion wants to paint her rectangular bedroom walls of the rumor 8 feet in height the ceiling of the room is 12 feet in length and 10 feet in with the paint will cost between $.75 and $.90 per square foot

Answers

Answer:I’m not sure but I thinks it either $250 or $325

Step-by-step explanation:

A company makes Citi bikes. 95% (i.e., 0.95) pass final inspection. Suppose that 5 bikes are randomly selected.
a. What is the probability that exactly 4 of these 5 sports bikes pass final inspection?
b. What is the probability that less than 3 of these 5 sports bikes pass final inspection?

Answers

Using the binomial distribution, it is found that the probabilities are given as follows:

a) 0.2036 = 20.36%.

b) 0.0011 = 0.11%.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, the parameters are given as follows:

p = 0.95, n = 5.

Item a:

The probability is P(X = 4), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{5,4}.(0.95)^{4}.(0.05)^{1} = 0.2036[/tex]

Item b:

The probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.95)^{0}.(0.05)^{5} \approx 0[/tex]

[tex]P(X = 1) = C_{5,1}.(0.95)^{1}.(0.05)^{4} \approx 0[/tex]

[tex]P(X = 2) = C_{5,2}.(0.95)^{2}.(0.05)^{3} = 0.0011[/tex]

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0.0011 = 0.0011.

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Eight less than half of a number is 52”. Check the solution.

Answers

x/2 - 8 = 52
x/2 = 60
x = 120

What is the reciprocal of 2 1/2?

Answers

Answer:

0.4 hrudyevdieubdbdj

The variable y has a proportional relationship with
xas suggested by the graph. Use the graph to
find the constant of proportionality.

Answers

Answer:

11

Step-by-step explanation:

Constant of proportionality, k, is the ratio of the quantity of variable y to the quantity of variable x.

Using a point on the line, (4, 44),

Constant of proportionality, k = [tex] \frac{y}{x} = \frac{44}{4} = 11 [/tex].

Constant of proportionality of the graph is 11.

Answer:

its 40

Step-by-step explanation:

Maglev trains use magnets on the train and guideway to levitate the train off the track. The north pole of the magnets on the train must face the south pole of the magnets on the guideway so they repel. south pole of the magnets on the guideway so they attract. north pole of the magnets on the guideway so they repel. north pole of the magnets on the guideway so they attract.

Answers

Answer:

c. north pole of the magnets on the guideway so they repel.

Step-by-step explanation:

edg2020

The north pole of the magnets on the train must face the  north pole of the magnets on the guideway so they repel.

What is a magnet?

A magnet refers to any material that can create a magnetic field around it. Magnets usually pick up magnetizable materials.

In this case, the north pole of the magnets on the train must face the  north pole of the magnets on the guideway so they repel.

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Amber and Will are in line together to buy tickets. Amber moves back by 3 places three times to talk to friends. She then is invited to move 5 places up in line. Will moved back by 4 places twice, and then moved up in line by 3 places. Overall, who moved farther back in line?

Answers

Answer:

Amber

Step-by-step explanation:

Lets pretend they both started at 10

Amber moved back 3 places 3 times, (1), then moved up 5 places (6)

Will moved back 4 spaces twice (2) then moved up 3 places (5)

6 > 5, therefore the answer is Amber

estimate each product 45.1 × 5 ​

Answers

Answer:b

Step-by-step explanation:

I know it’s right

Answer is
225.5

Hope it helps

T=L(3+RS) Solve for R

Answers

Answer:

[tex]R=\frac{T}{LS}-\frac{3}{S}[/tex]

Step-by-step explanation:

how do make the graph​

Answers

Answer:

the graph would be starting in the top left and move down towards bottom right flattening out Justin is stopped

Step-by-step explanation:

I NEEED HELPP
PLSSS DO BY 11:59

Answers

Answer:

c, e, g are your answers.

Step-by-step explanation:

polygons show that 1 and 4 are congruent. So the answers are anything involving polygons # 1 & 4

At summer camp, there are 3 boys for every 4 girls. If there are 63 boys & girls at camp, how many boys are there?​

Answers

Answer:

turn it into an equation

since the total number of students is 63 and for every 3 boys are 4 girls

3x + 4x = 63

7x = 63

x = 63/7

x= 9

to get the number of boys

3 x 9 = 27

therefore the number of boys is 27

777 x 1200
can u help me​

Answers

Answer: 932,400

Step-by-step explanation:777 x 1200

Solve the
equation:
4 = x - 38

Answers

Answer:

42 = x

Step-by-step explanation:

4 = x - 38                    4 = x - 38

+38  +38         or         38 + 4 = 42

42 = x                       plug in 42 into the equation to make it true

                                   4 = 42 - 38

Answer:

x=42

Step-by-step explanation:

38+4=42 which means 42-38=4

Anyone know how to do this?

Answers

Answer:

y=3/2x+2

Step-by-step explanation:

3/2 is the slope of the line and 2 is the y-intercept which is where the line crosses the y-axis. The slope is the rise over run or the rate of change of the y-value over the x-value.

A person's resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats in 10 seconds .Write an equation for h, the number of times Noah’s heart beats (at this rate) in m minutes.

Answers

Answer:

Step-by-step explanation:

48h = m

Answer:

80

Step-by-step explanation:

I need help please ​

Answers

Answer:

D

Step-by-step explanation:

0 is in the middle and 2 will be at the left and 3 at the right.

D + 7/-3 = 4 solve d

Answers

Answer:

d= 5/3

d=1.6

d=1 2/3

i hope this helps

Step-by-step explanation:

find the coordinates of the centroid. A(-7,-4) B( -3, 5) C (1, -4)

Answers

Umm can you plz provide an image so I may answer the question

What is the square root of 4?

Answers

Answer:

2

Step-by-step explanation:

Answer:

the square root of 4 is 2

Find the exact value of 0 tan165 using the appropriate identity formula. Rationalize denominator if needed.

Answers

Answer:

[tex]tan165^0 = -2 + \sqrt{3}[/tex]

Step-by-step explanation:

Given;

tan165⁰

165⁰ is in the second quadrant, and sine is positive in this quadrant, thus tan will be negative.

In second quadrant, tanθ = -tan(180 - θ)

tan165⁰ = -tan(180-165)

tan165⁰ = -tan15⁰

[tex]- tan15^0 = -tan(60 - 45)\\\\ tan(\alpha - \beta) = \frac{tan \alpha -\ tan \beta}{1 + tan \alpha tan \beta}\\\\ -tan(60 - 45) = -(\frac{tan 60 - tan 45}{1+tan60tan45} )\\\\ -(\frac{tan 60 - tan 45}{1+tan60tan45} )= -(\frac{\sqrt{3} \ - 1}{1+ \ \sqrt{3} } ) = \frac{1 \ -\sqrt{3} }{1+ \ \sqrt{3} }\\\\\frac{1 \ -\sqrt{3} }{1+ \ \sqrt{3} } =( \frac{1 \ -\sqrt{3} }{1+ \ \sqrt{3} })(\frac{1 - \ \sqrt{3}}{1 - \ \sqrt{3}} ) = \frac{1-\sqrt{3} -\sqrt{3} \ +\ 3 }{1\ -\ 3} = \frac{4-2\sqrt{3} }{-2}[/tex]

[tex]\frac{4-2\sqrt{3} }{-2} = -2 + \sqrt{3}[/tex]

Therefore, [tex]tan165^0 = -2 + \sqrt{3}[/tex]

Answer:

- sqrt(7-4sqrt(3)) = -0.26794

tan165º = -0.26794

Step-by-step explanation:

On EDG

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