Solve the quadratic equation.
2x2 − 11x − 21 = 0
A) −
3
2
and 7
B)
3
2
and −7
C) −
2
3
and
1
7
D)
2
3
and −
1
7

Answers

Answer 1

Answer:

A) -3/2 and 7

Step-by-step explanation:

this equation factors to (2x+3)(x-7)

the goal is to solve for 0

if 2x+3=0 then x=-3/2

if x-7=0 then x=7


Related Questions

The area of a wetland is 10,000 acres. A biologist predicts that the area of the wetland will change according to the equation y equals 10000 left-parenthesis 0.65 right-parenthesis Superscript x Baseline, where y is the area of the wetland after x years. Based on the biologist's prediction, what will the area of the wetland be in 2 years?

Answers

Answer:

4,225 acres

Step-by-step explanation:

If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;

y is the area of the wetland after x years

In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;

[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]

The area of the wetland in 2 years based on the biologist prediction will be 4225 acres

Answer:

4225

Step-by-step explanation:

What is the factored form of 8x^24-27

Answers

Answer: 4.722

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

harold collected data on the daily high temperature in two cites over a period of one week . he analyzed the data and found the measures below . which statement is true based on these measures

Answers

Answer:

The temperature in Carlton was always cooler than in Borden.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!

Answers

a is the right answer.

Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

The first table

Step-by-step explanation:

Because both side -1 every time.

Answer: C

Step-by-step explanation:

It represents a proportional relationship because each time they add two

Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons.
After 8 weeks of voice lessons, how many pieces will Jodi be able to sing in total?
Assume the relationship is directly proportional.

A: 16 pieces
B: 20 pieces
C: 15 pieces
D: 12 pieces

Answers

Answer:

A. 16 pieces

Step-by-step explanation:

If Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons, after 8 weeks of voice lessons, Jodi be able to sing 16 pieces.

2 x 2 =4

8 x 2= 16

Therefore the answer is 16.

Hope this helps and I explained it well enough !

Have a nice day.

Evaluate.
Remember Order of Operations!
PEMDAS)
100 = 5 x
(4 + 2)

Answers

ANSWER: 100=5*6

                   100=30

HOPE IT HELPS!

Answer:

x = 3 1/3

Step-by-step explanation:

Let's go over the order of operations.

P: Parentheses

E: Exponents

M/D: Multiplication/division (in order of appearance)

A/S: Addition/Subtraction (in order of appearance)

100 = 5*(4 + 2)

Since there are values in parentheses, solve those first: 100 .= 5x(6).

Next, multiply 5x by 6. 100 = 30x.

Finally, divide each side by 30 to find the value of x. 3 1/3 = x

Therefore, the value of x is 3 1/3.

(Note: this is assuming the term "x" is a variable, and not the multiplication sign, *.)


A cube has a volume of 0.216 ft?. What is the length of each side of the cube?

Answers

Answer:

the answer is 0.054

Are there more 3-digit numbers that can be divided by at least one of the numbers 4, 7, or 9, or 3-digit numbers that cannot be divided by either one of them? I need ASAP! HELP! please provide an explanation.

Answers

Answer:

Yes there are more 3-digit numbers that can be divided or not divided by 4, 7, or 9

Step-by-step explanation:

Any real number can be divided by those numbers but you may get decimals as well.

There are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9. Therefore, it's false.

How to compute the number?

It should be noted that for a number to be divisible by 9 and 7, it has to be divisible by 63. Therefore, we have all the three digit multiple of 63.

In this case, there are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9.

Learn more about real number on:

https://brainly.com/question/155227

#SPJ2

I'll mark you the brainlest if you answer this correctly​

Answers

Answer:

A=14

Use formula A^2+B^2=C^2

Answer:

∠ A ≈ 24°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{MR}{AR}[/tex] = [tex]\frac{6}{15}[/tex] , thus

A = [tex]sin^{-1}[/tex] ([tex]\frac{6}{15}[/tex] ) ≈ 24° ( to the nearest degree )

What is the range for this data set?
37 years
9 years
41 years​

Answers

Answer:

30 years

Step-by-step explanation:

41 minus 11=

The area of a square is 102 square units. What is an
estimated value for the length of a side of the square?
between 10 and 11
between 11 and 12
between 12 and 13
between 13 and 14

Answers

Answer:

Between 10 and 11.

Step-by-step explanation:

To begin, we can look at the problem as such. If we take the first answer choice, we can find the squares of both numbers giving us: (Remember that the area of a square is A=L²)

10²= 100

11²= 121

Since the given area is in between these two numbers, this means that the side length must be between 10 and 11.

Between 10 and 11 because 10x10 would be 100 so the accurate number would be 10.1 which is in between 10 and 11

Please justify the answer

Answers

Answer:

The age of the car in years is the independent variable

The average miles is the dependent variable

Step-by-step explanation:

Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.

Hope this makes sense :)

At the amusement park each students is given $16 dollars for food. This covers the cost of 2 meals plus $4 for snacks. how much money does the school expect each student to spend per meal. Which equation can be used to represent this situation? plz help now if u can

Answers

It will take 4$ for a meal because 16/2meals is 8 - 4 dollars for snack is 4

Answer:

16 = 2x + 4

Step-by-step explanation:

The total amount of money they are given is $16. That is split up into 2 equal groups with 4 left over. So you'd have to subtract 4 from both sides. Then divide both sides by 2. This will give you the answer to how much money they expect the students to spend on food.

Bob carved this solid out of wood find the volume of the solid

Answers

Answer:

640

Step-by-step explanation:

Find the first five multiples of the number 5.
A. 10, 15, 20, 25, 30
B. 5, 10, 15, 20, 25
c. 1, 5, 10, 15, 20
D. 5, 15, 25, 35, 45

Answers

Answer:

B. 5,10,15,20,25

Step-by-step explanation:

The first 5 multiples of a number are that number multiplied by 1-5 so

5(1),5(2),5(3),5(4),5(5) so

5,10,15,20,25 so

B. 5,10,15,20,25

Answer:

5,10,15,20,25

Step-by-step explanation:

How do u not know this ur in middle school  

To find the mileage, or how many miles a car can travel per gallon of gasoline, you can use the expression m/g, where m is the distance in miles and g is the number of gallons of gas used. Find the mileage in miles per gallon for a car that travels 585 miles on 18 gallons of gas? (Your answer does not need miles per gallon at the end.)

Answers

Answer:32.5

Step-by-step explanation:

585/18

Select the correct answer from each drop-down menu.
sin75° +sin15°=
sin75°-3in15º =

Answers

Answer:

Step-by-step explanation:

Answer:

Behold! The web haseth calculators. They work well.

#PlatoAccuracyMatters

Step-by-step explanation:

It takes a painter and his friend 8 hours to paint a room. If the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?

Answers

Answer:

1 room-8hr (with friend)

alone- -12hr

friend working alone- x-12

Here is the base for you

hope this helps

Step-by-step explanation:

Write the following number in scientific notation:
0.0000487

Answers

Answer:

4.87 × 10-5

Step-by-step explanation:

Hopes this helps.

The answer is 4.87 x 10^-5

Which figures can be circumscribed by a circle? Select all that apply.

Answers

Answer:

Using the properties of inscribed quadrilateral (the sum of two opposite angles is 180 deg), we have

Option A, B, C are all correct (those figures can be circumscribed by a circle).

Hope this helps!

:)

A telescope costs $98. It is on sale for 35% off. What is the cost of the telescope after the discount?

Answers

Answer:

To solve this equation first we need to find out how much is 35% of $98.

The percentage of a number is found by multiplying the percentage by the number:

35% x $98 = $34.3

So the 35% off the telescope equals a discount of $34.30.

Now let’s find the price after the discount.

We need to subtract the discount price from the original price:

$98 - $34.30 = $63.70

So we know that the price of the telescope after the discount is $63.70

plzzz mark me brainliest if this helped :)

I need 3 more brainliests to become an expert

help plz will mark brainliest :)​

Answers

Answer:

c

Step-by-step explanation:

subtract b from both sides

divide by x

05.01 MC)
What is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (5 points)

Question 4 options:

1)

y − 5 = −3(x + 2)

2)

y − 5 = 3(x + 2)

3)

y − 11 = −3(x − 2)

4)

y − 11 = −3(x + 2)

Answers

the answer is number 2)

Factor the expression below.
x2 - 6x + 9
A.
(x + 3)(x + 3)
B.
3(x2 - 2x + 3)
OC. (x-3)(x-3)
OD.
(x - 3)(x + 3)
HELP

Answers

Answer:  (x-3)(x-3)

This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.

Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3

-3 plus -3 = -6

-3 times -3 = 9

So this is why x^2-6x+9 = (x-3)(x-3)

We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.

Answer:

C. (x-3)(x-3)

Step-by-step explanation:

x² - 6x + 9 = 0

x² - 3x - 3x + 9 = 0

x(x - 3) - 3(x - 3) = 0

(x - 3) (x - 3) = 0

What is the volume of the cone below?

Answers

Where’s the Picture of the cone

9) A cooler contains eight bottles of sports
drink: four lemon-lime flavored and four
orange flavored. You randomly grab a
bottle and give it to your friend. Then,
you randomly grab a bottle for yourself.
You and your friend both get lemon-lime.
Are the events independent or dependent?
What is the probability?

Answers

Answer:

dependent. 2/8=1/4

Step-by-step explanation:

Question 25

.........................................................

Answers

Answer:

its c

Step-by-step explanation:

asapppp

What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2

Answers

i believe you multiple all three together and you get d. 504

a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete​

Answers

What is the question?
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