What are the solutions to the quadratic equation below?
3x2 +16x + 21 = 0

Answers

Answer 1
X=-7/3,-3
Pls mark brainliest
Answer 2

Answer:

-3 and -7/3

Step-by-step explanation:

You could solve by factoring.

To do that, you find 2 numbers that multiply to 21, but add up to 16 when you multiply one of them by 3.

In this case, 3 and 7 would work, because 3*3 + 7 = 16, and 3 * 7 = 21.

Therefore, we can factor the equation to (3x+7)(x+3).

The solutions of the equations are -3 and -7/3.


Related Questions

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different​ prizes: an automobile valued at ​$​, a ​$ gas​ card, or a ​$ shopping card. To claim his or her​ prize, a prospective customer needed to present the flier at the​ dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of ​, the chance of winning the gas card was 1 out of and the chance of winning the shopping card was out of 31,866​, the chance of winning the gas card was 1 out of 31,866, and the chance of winning the shopping card was 31,864 out of 31,866.

Required:
a. How many fliers do you think the automobile dealership sent​ out?
b. Using your answer to​ (a) and the probabilities listed on the​ flier, what is the expected value of the prize won by a prospective customer receiving a​ flier?
c. Using your answer to​ (a) and the probabilities listed on the​ flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a​ flier?

Answers

Answer:

(a) 31101

(b) $5.65

(c) $113.38

Step-by-step explanation:

The complete question is:

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $20,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,101, the chance of winning the gas card was 1 out of 31,101, and the chance of winning the shopping card was 31, 099 out of 31,101.

Solution:

The information provided is as follows:

[tex]P(\text{Car})=\frac{1}{31101}\\\\P(\text{Gas Card})=\frac{1}{31101}\\\\P(\text{Shopping Card})=\frac{31099}{31101}[/tex]

(a)

The number of fliers the automobile dealership sent​ out is, n = 31,101.

This is because the probability of winning any of the three prize is out of 31,101.

(b)

Compute the expected value of the prize won by a prospective customer receiving a​ flier as follows:

[tex]E(X)=\sum x\times P(X=x)[/tex]

         [tex]=[20000\times \frac{1}{31101}]+[125\times \frac{1}{31101}]+[5\times \frac{31099}{31101}]\\\\=0.6431+0.0040+4.9997\\\\=5.6468\\\\\approx 5.65[/tex]

Thus, the expected value of the prize won by a prospective customer receiving a​ flier is $5.65.

(c)

Compute the standard deviation of the prize won by a prospective customer receiving a​ flier as follows:

[tex]SD(X)=\sqrt{V(X)}=\sqrt{E(X^{2}-(E(X))^{2}}[/tex]

           [tex]=\sqrt{[(20000)^{2}\times \frac{1}{31101}+(125)^{2}\times \frac{1}{31101}+(5)^{2}\times \frac{31099}{31101}]-(5.65)^{2}}\\\\=\sqrt{12854.9011}\\\\=113.37947\\\\\approx 113.38[/tex]

Thus, the standard deviation of the prize won by a prospective customer receiving a​ flier is $113.38.

Let xy=6 and x2 + y2 = 23 what is the value of (x+y)^2?
[Hint expand out (x+y)^2?]

Answers

Answer:

[tex](x + y) {}^{2} \\ = x {}^{2} + 2xy + y {}^{2} \\ = x {}^{2} + y {}^{2} + 2xy \\ = 23 + 2 \times 6 \\ = 23 + 12 \\ = 35 \\ \\ therefore \: the \: value \: \\ of \: (x + y) {}^{2} is \: 35.[/tex]

35 is the correct answer.....Hopes to get BRAINLIEST......

Thank you ☺️

Mai ran 1/4 of the length of her road, which is 9 miles long. How long did Mai run?

Answers

Answer:2.25

Step-by-step explanation:

If the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

It is given that,

Length of road = 9 miles

From the condition,

Mai ran 1/4 of the length of her road

Mai ran =  1/4 × length of her road

Mai ran =  1/4 × 9

Mai ran =  2.25 miles.

Thus, if the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.

Learn more about the arithmetic operation here:

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What are dot plots used for?

A. Dot plots are best used to show a distribution of data.

B. Dot plots are best used to show answers to a non-statistical question.

C. Dot plots are best used to help you ask questions.

D. Dot plots are best used to help you tally data.

Answers

Answer:

A

Step-by-step explanation:

write an equation to solve for x what is the value of x will mark brainious this is very confusing for me​

Answers

Answer:

equation: 3x - 2 + 4x - 9 + 3x - 9 = 180x = 20

Step-by-step explanation:

add all internal angles

∠H + ∠I + ∠J = 180

where:

∠H = 3x - 2

∠I = 4x - 9

∠J = 3x - 9

plugin the values into the ∠H + ∠I + ∠J = 180 formula:

equation: 3x - 2 + 4x - 9 + 3x - 9 = 180

combine similar terms: 3x + 3x + 4x = 180 + 2 + 9 + 9

simplify: 10x = 200

divide 10 both sides: x = 20

Can someone help ? ASAP thanks

Answers

Answer:

2,5 then 17 20 then keep adding 15 for x and y

What is the converse of the conditional statement?
If x is even, then x + 1 is odd.

A. If x is not even, then x + 1 is not odd.
B. lf x + 1 is odd, then x is even.
C. If x + 1 is not odd, then x is not even.
D. If x is even, then x + 1 is not odd.

Answers

Answer:

If x+1 is odd, then x is even B

Step-by-step explanation:

Conditional: If p, then q

Converse: If q, then p

p= x being even

q, x+1 being odd.

4 A photographer enlarges a picture to
hang on the wall. The original picture is
5 inches long and 4 wide. The new
picture is 22 inches long and 17.6 inches
wide. What scale factor did the
photographer use?
I

Answers

Answer:

He enlarged the photo by 4.4 times than the original size.

Step-by-step explanation:

22/5=4.4

4.4*4=17.6

4.4*5=22

Ellie drove 13 miles in 2/5 hours. if she drove at a constant rate, how fair did she travel in one hour? enter your answer as a whole number, proper fraction, or mixed number in simplest form.

Answers

Answer:i think its 3.25 miles

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

13÷2.5=5.2


What is the Slope of the line

Answers

Answer:

[tex]m=\frac{-3}{4}[/tex]

Step-by-step explanation:

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

Simply plug in 2 coordinates into the slope formula to find slope m:

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

[tex]m=\frac{-4+1}{4}[/tex]

[tex]m=\frac{-3}{4}[/tex]

A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening. Two independent samples of 25 weeks are collected for Tuesday and Wednesday. The mean attendance on Tuesday evening is calculated as 5,500, while the mean attendance on Wednesday evening is calculated as 5,850. The known population standard deviation for attendance on Tuesday evening is 550 and the known population standard deviation for attendance on Wednesday evening is 445. Which of the following is the value of the appropriate test statistic?A. z = -2.4736B. z = 2.4736C. tdf=−2.4736D. td f=2.4736

Answers

Answer:

A. z = -2.4736

Step-by-step explanation:

n1 = 25

n2 = 25

x1 = 5500

x2 = 5850

Sd1= 550

Sd2 = 445

Null hypothesis

μ1 - μ2 = 0

Alternate

μ1 - μ2 != 0

Pooled variance = ((25-1)*550²)+((25-1)*445²)/25+25-2

= 7260000+4752600/48

= 250262.5

Pooled sd = √250262.5

= 500.26243

Test statistic

Z =

5500-5850+10/500.26243*√1/25+1/25

= -2.47357 approximately

-2.4736

help me please
*I select an answer, but I don't know if it's right or wrong*​

Answers

Answer:

yes your answer it right.... brainliest plsss

Create and solve a quadratic equation that has 1 real solution

Answers

Answer:

x^2 - 4x + 4 = 0

x = 2

Step-by-step explanation:

(x - 2)(x - 2) = 0

x^2 - 2x - 2x + 4 = 0

x^2 - 4x + 4 = 0

The equation is:

x^2 - 4x + 4 = 0

It is a quadratic equation because of the x^2 term.

Now we solve it by factoring.

x^2 - 4x + 4 = 0

(x - 2)(x - 2) = 0

x - 2 = 0 or x - 2 = 0

x = 2 or x = 2

The only solution is x = 2.

Jim bought a new freezer last winter. When he plugged it in at noon the temperature
inside the freezer was 21°C. That night the temperature inside the freezer was -15°C. By
how many degrees Celsius did the temperature change?

Answers

Answer:

The temperature inside the freezer dropped 36°C.

Step-by-step explanation:

You need to subtract the new temperature from the old temperature to get the difference. That's a pretty cool freezer! (Pun intended!)

I hope this helps!

Multiply. Write the answer in simplest form.
5/6 x 2/9

Answers

Answer:

5/27

Step-by-step explanation:

I have no doors but I have keys, I have no rooms but I do have a space, you can enter but you can never leave. What am I?

Answers

Is it a computer keyboard?

What is the probability of getting orange
or blue and a multiple of 3?

Answers

Answer:

the answer is 1/2 because of the multiple of 3

Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in:

Answers

Answer:

Money = (1500)e^(0.06t)

t = num of months

Money = Money at end of that tiem period

6500 common math maybe do your work right

A DJ is preparing a playlist of 23 songs. How many different ways can the DJ arrange the first four songs on the​ playlist?

Answers

Answer:

Sample Response: The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.

DJ can arrange 88,55 times the first four songs on the playlist.

What is permutation and combination?

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

Given that,

DJ prepares a playlist of 23 songs.

Since, DJ arranges the first four songs on the playlist,

The ways to arrange the song on the playlist,

= [tex]^{23}C_4[/tex]

= 23 ! / (4! x (23 - 4)! )

= 23 ! / (4! x 19!)

= (23 x 22 x 21 x 20 x 19!) / (4 x 3 x 2 x 1  x 19!)

= 23 x 11 x 7 x 5

= 8855

There are 8,855 ways to arrange first 4 songs.

To know more about Permutation and Combination on:

https://brainly.com/question/13387529

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Sienna earns $108 for working 9 hours. Ted earns $77 for working 7 hours. Colby earns $92
for working 8 hours. Jennifer earns $115 for working 10 hours. Who has the highest hourly
wage?

Answers

Answer:

Sienna

Step-by-step explanation:

A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:a. The average index of elementary school children must be 60.69.b. The standard deviation of the sample is about 10% smaller than the population standard deviation.c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.e. 4.40 is 95% of the true average of the index for all elementary school children.f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.

Answers

Complete Question

A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:

a. The average index of elementary school children must be 60.69.

b. The standard deviation of the sample is about 10% smaller than the population standard deviation.

c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.

d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.

e. 4.40 is 95% of the true average of the index for all elementary school children.

f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.

Answer:

The correct option is  a and  f

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  16

     The 95% confidence interval is  (56.29, 65.09)

Generally the sample mean(average index of elementary school children) is mathematically represented as

     [tex]\= x  =  \frac{65.09 + 56.29}{2}[/tex]

=>  [tex]\= x  =  60.69 [/tex]

 

If the snow is falling at a rate of 1 2/3 inches per hour, how many hours will it take to snow 12 inches?

Answers

Answer:

It'll take 7.2 hours

Step-by-step explanation:

(5/3)in       12in

---------  x  --------

 1 hr          x hr

Cross multiply and you get

(5/3)x = 12

Then you divide 12 by (5/3) and you get that x = 7.2 hrs

Answer:

7.2 hours

Step-by-step explanation:

1 2/3 inches per hour = 5/3 inches per hour

12 inches = 36/3 inches

(36/3) / (5/3)

(36/3) x (3/5)

108/15

7.2 hours

which of the following functions has a range of all real numbers?

Answers

Answer:

c

Step-by-step explanation:

The dots cannot intersect

What is the correct answer? please

Answers

Is there choices for your question

A decimal is never a rational number

True
False

Answers

Answer:

False

Step-by-step explanation:

Decimals such as 1.2, 4.95, 2.28914 are all rational numbers.

If it doesnt end then its irrational, such as pi. but we know the exact amount of the numbers above therefore its rational. Also it can be put in fraction form which is another way to determine if rational or not.

-68 divided (-4)


Help ASAP

Answers

Answer:

Two negatives = positive (17)

Step-by-step explanation:

Answer:

Today: Wednesday, 14 October 2020

Hour: 12.58 WIB

______________________________

-68 divinded (-4) is 17

Solve the system of equations 2x-4y=-2 and -x+8y=-23 by combining the equations.

Answers

Answer:

(−9,−4)

Step-by-step explanation:

The price of a stock steadily decreased by a total of $123 over the past 14 months.

Answers

What happened when the stock decreased by $123?

The formula for converting miles into feet is F=5280m. If m=3, evaluate to find F, the number of feet in 3 miles​

Answers

Answer:

15,840?

Step-by-step explanation:

if f=5280m and m=3 then 5280x3= 15,840

Good luck!

What is 1 1/2 + 3 7/8

Answers

Answer:

5 3/8

Step-by-step explanation:

Hi there !

1 1/2 + 3 7/8 =

= (1×2+1)/2 + (3×8+7)/8

= ⁴⁾3/2 + 31/8

= 12/8 + 31/8

= (12 + 31)/8

= 43/8

= 5 3/8

Good luck !

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