What are the solutions of the quadratic equation ? x ^ 2 + 10x = - 21

Answers

Answer 1

Answer:

-3 and -7

Step-by-step explanation:

x^2+10x+21=0

(x+3)(x+7)=0

x=-3

x= -7


Related Questions

what is 5+37+1=?

I could use some help I have been stuck on this one all day is anyone good at math and wants to help me?

Answers

43 is the answer

Hoped I help :)

Answer:

the answer to the equation 5+37+1 = ? is 43

Step-by-step explanation:

37+5= 42

42+1= 43

What is the measure of the missing angel?

Answers

Answer:

28

Step-by-step explanation:

90 - 62 = 28

Answer:

28

Step-by-step explanation:

hence it forms 90degree 90-62=28

Which one is correct

Answers

Answer:

Bart is correct

Step-by-step explanation:

B. ( -3, 4) , ( 3, 4 ) , ( 1, -4 ) , ( -2, -4 )
D. ( -4, 1) , ( 1, 2 ) , ( -1, -4 ) , ( -3, -4 )
C. ( -2, 3) , ( -4, 3 ) , ( -1, 2 ) , ( -4, -2 )
A. ( -3, 4) , ( -4, 3 ) , ( -4, 1 ) , ( -2, -4 )

Answers

Answer:

B

Step-by-step explanation:

There isn't really much explaining I can do but each time you find the co-ordinate of a point you can cancel out a possibility.

For example, one of the points is (-3,4) and the only one without this point is C so that answer is cancelled out, and you keep going this way until you are left with only on possible answer and that should be B.

Top left = (-3,4)

Bottom left = (-2, -4)

Top right = (3,4)

Bottom right = (1,-4)

The answer is B.

(-3,4) is the point/dot on the top left corner.

(3,4) is the point on the top right corner.

(1,-4) is the point on the bottom right corner.

(-2,-4) is the point on the bottom left corner.


A sequence is given by the rule 4n – 5
Will the number 25 be a term in the sequence?
Explain why or why not.

Answers

What you can do: (n)a=(n)(4+1/n)
Know divide away each n on respective side you get:
a=4+1/n
Know when n=0, 1/0 is not defined there’s that
n=1 , 4+1/1 = 5
n=2 , 4+1/2 = 4.5
n=3 , 4.33
n=4, 4.25

Write an equation for each graph in a slope
Intercept form

Answers

Answer:

y=2x-3

Step-by-step explanation:

Y-intercept can be read off the graph.

Slope can be determined using the formula:

y2-y1 divided by x2-x1 (Substitute co-ordinates)

Answer:

y=2x-3

Step-by-step explanation:

y=mx+b

Where m is the slope and b is the y intercept

Slope is rise over run, the line is up 2 over 1

And the point of the line where it meets the y axis is -3. so b is -3

Show how the ordered pair (-5, -1) belong to the relation y = -x + 4.

Please fast I have a test

Answers

Answer:

(-5, -1), does not belong to the relation y = -x + 4

Step-by-step explanation:

From the question, we have;

The given ordered pair having a relation = (-5, -1)

The given relation, y = -x + 4

From the given relation, we get;

When y = -1

-1 = -x + 4

∴ -x = -1 - 4 = -5

x = 5

Similarly, when x = -5, we get;

y = -x + 4 = -(-5) + 4 = 5 + 4 = 9

y = 9

Therefore, (-5, -1), does not belong to the relation y = -x + 4 but (-5, -1), belongs to the relation y = x + 4

which fraction is equivalent to 4/7?​

Answers

Answer: 8/14

Step-by-step explanation:

A store is going out of business, they are advertising that "Everything is 40% Off!" You have had your eye on a new pair of shoes that were originally $156. What is the sale price of the shoes?

Answers

Answer:

$93.6

Step-by-step explanation:

The original price if this show is to be sold at $156

But the question tells us that everything is being sold with a 40% off.

So we should get 40% of 156

= 0.40 * 156

= $62.4

So this shoe would have it's new price to be $(156 - 62.4) = $93.6

So in conclusion given a 40 percent off, the sales price if the shoe would be $93.6

please help <3 it would mean the world to me

Answers

Answer:

9

Step-by-step explanation:

Answer:

9 Is the answer

Step-by-step explanation:

Can i have brainliest??? thx

Select all of the expressions that are less than 10 2/3.
A.10 2/3 ×9/10
B.1 × 10 2/3
C. 10 2/3 × 2 1/3
D. 1/8 × 10 2/3
E.10 2/3 × 3/5

Answers

A. 10 2/3 x 9/10 = 9 3/5
D. 10 2/3 x 1/8 = 1 1/3
E. 10 2/3 x 3/5 = 6 2/5

Hope This Helps.

Answer:

A D E

Step-by-step explanation:

i did the test

The table represents an exponential function
What is the multiplicative rate of change of the function​

Answers

Answer:

21

Step-by-step explain

becaus euaddd 21

Given the formula l = prt, where l = interest earned, P is the principal invested and r is the interest rate. If $245 is the principle invested at an interest rate of 3%, and Paul earned 69.80 interest, how long, t, (in years) was the money invested for?

Answers

Answer:

t= 9.49 years which can be estimated to 9 years

Step-by-step explanation:

Given the formula l = prt,

Where P is the principal=$245

r is the interest rate.=3%,

l = interest earned=$69.80

l = prt

Therefore time, t= I/ pr

t= 69.80/ 245 x 3%

t=69.80/ 245 x 0.03

t= 9.49 years which can be estimated to 9 years

HELP!! 4 people work an event where they make $156, They split the money evenly
and then have to pay $5 each for parking. How much do they each make?

Answers

Answer:

$34

-----------------------

Since the coordinate (-6, 9) is on the graph on the previous page, make sure it
fits into the equation that you wrote. When you plug in -6 for x, your equation
should spit out 9 for y. If not, make sure you keep trying until you have the right
equation! Show your work clearly below

Answers

Answer:

Screen shot the question and attach it and i will do it cus you making no sense

Step-by-step explanation:

I need to solve for x this is really easy I just don't have the time to do it please help.​

Answers

Both of the angles need to equal to 180 (since they are interior angles)

2x+76=180
2x=104
x=52

Hope this helps!! :)

Answer:

2x+76°=180°[by co interior angle]

2x=180°-76°

2x=104°

x=104°/2

x=52

Let y=f(x) be the particular solution to the differential equation dy/dx=2x−1/y^2 with the initial condition y(0)=3. Which of the following is an expression for f(x)?
A. √(x^2−x+9)

B. −3/3x^2−3x−1

C. (3x^2−3x)^1/3+3

D. (3x^2−3x+27)^1/3

Answers

Answer:

D. (3x^2-3x+27)^1/3

Step-by-step explanation:

dy/dx=2x−1/y^2

Cross multiply to get Y's and X's on different sides.

(y^2)dy = (2x-1)dx

Take the integral of each side

∫(y^2)dy = ∫(2x-1)dx

y^3/3 = 2x^2/2 - x + C

Multiply both sides by 3

y^3 = 3x^2 - 3x + C

Plug in (0,3) and solve for C

27 = 0 - 0 + C

C = 27

Plug in C to the equation

y^3 = 3x^2-3x+27

Cube root both sides to get just y

y = √(3x^2-3x+27)

y = (3x^2-3x+27)^1/3

D.

The particular solution of the equation will be "[tex](3x^2-3x+27)^\frac{1}{3}[/tex]".

Differential equation

According to the question,

→    [tex]\frac{dy}{dx}[/tex] = [tex]\frac{2x-1}{y^2}[/tex]

By applying cross-multiplication,

(y²)dy = (2x - 1)dx

By integrating both sides, we get

→ ∫(y²) dy = ∫(2x - 1) dx

           [tex]\frac{y^3}{3}[/tex] = [tex]\frac{2x^2}{2}[/tex] - x + C

By multiplying "3" both sides, we get

           y³ = 3x² - 3x + c

By substituting "(0,3)" in above equation,

          27 = 0 - 0 + C

            C = 27

By substituting value of C in the above equation,

         y³ = 3x² - 3x + 27

By cubing both sides,

y = √(3x²-3x+27)

  = [tex](3x^2-3x+27)^\frac{1}{3}[/tex]        

Thus the above answer i.e., "Option D" is correct.

Find out more information about differentiation here:

https://brainly.com/question/25125500

Last year, Frank earned $7.48 per hour. This year the company decided to give him a 30% increase in his hourly rate. How much is Frank earning per hour this year? A. $7.78 O B. $9.72 O c. $10.48 D. $22.44 E $24.93​

Answers

Answer:

B 9.72

Step-by-step explanation:

If we imagine 7.48 is 100% Then we can use multiply and divide to find 30%. It goes like this. x/7.48 = 30/100. Where x is the unknown. Take 30 times 7.48 which is 224.4 then divide by 100 we get 2.24 dollars. Added to 7.48 we get 9.72

A= x^2 -30x+225 The polynomial represents the area (in square feet) of the square playground. a. Write a polynomial that represents the side length of the playground. b. Write an expression for the perimeter of the playground. (I factored it and got (x-15)^2)

Answers

Answer:

a) The polynomial is equivalent to [tex]A = (x-15)^{2}[/tex], and the side length of the playground is [tex]x -15[/tex] feet.

b) The perimeter of the playground, measured in feet, is [tex]p = 4\cdot (x-15)[/tex].

Step-by-step explanation:

a) By Geometry, we know that area of the square is equal to the square of the side length. If [tex]A = x^{2}-30\cdot x +225[/tex] is the area of the square, then must be a perfect square trinomial, that is:

[tex](x-a)^{2} = x^{2}-2\cdot a\cdot x + a^{2}[/tex] (1)

Then, we must observe the following properties:

[tex]-2\cdot a = -30[/tex] (2)

[tex]a = 15[/tex]

[tex]a^{2} = 225[/tex] (3)

[tex]a = 15[/tex]

Therefore, the polynomial is equivalent to [tex]A = (x-15)^{2}[/tex], and the side length of the playground is [tex]x -15[/tex] feet.

b) The perimeter of a square equals four times the side length. That is:

[tex]p = 4\cdot (x-15)[/tex]

The perimeter of the playground, measured in feet, is [tex]p = 4\cdot (x-15)[/tex].

The polynomial that represents the side length is x - 15, and the perimeter of the playground is 4x - 60

The expression of the area is given as:

[tex]A = x^2 - 30x + 225[/tex]

Expand the expression

[tex]A = x^2 - 15x - 15x + 225\\[/tex]

Factorize

[tex]A= (x - 15)^2[/tex]

The area of a square is:

[tex]A = l^2[/tex]

Where l represents the side length.

So, we have:

[tex]l = x - 15[/tex]

The perimeter is then calculated as:

[tex]P = 4l = 4*( x - 15)[/tex]

[tex]P = 4x - 60[/tex]

Hence, the perimeter of the playground is 4x - 60

Read more about polynomials at:

https://brainly.com/question/4142886

What is the advantage of the number zero?

Answers

Answer:

Zero can be used as a place holder in many operations such as division and multiplication.

The shape on the left is translated to the shape on the right.

Shape M N O P Q R S is translated 6 units to the right.

Which statement about the transformation is true?
The name of the shape on the right is M N O P Q R S prime because it is the image of the shape on the left.
The name of the shape on the right is M N O P Q R S prime because it is the pre-image of the shape on the left.
The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the pre-image of the shape on the left.
The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left.

Answers

Answer:

D.) The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left.

Step-by-step explanation:

So the first thing we have to do is look at the information given, we know that the shape on the left is translated into the shape on the right. When a shape is "translated" it simply means that the shape doesn't change in size or rotation it only glides or moves. So the shape on the right is the former shape and the shape on the left is the pre-image.

Knowing that the left shape is the pre-image goes ahead and eliminates answer choices B & C as both answers mention that the right side is the image before the transformation which because of what was previously mentioned, is incorrect.

This leaves only answer choices A and D. Finally we can narrow down the final answer by knowing that the apostrophe " ' " or prime should be placed after each letter not just at the end of letters. For example A'B'C'D' not ABCD'. If we apply this rule to the last to answer choices we can see that D is the correct answer.

Answer:

It’s d edge 2022

Step-by-step explanation:

simplify 74.34 - 2.1 × (6.05 - 4.05)³

Answers

577.92 assuming that that’s a multiplication symbol and not an X

What is the slope of the line represented by the equation y = x - 3?

Answers

The slope is 1. However it may be asking for the Y-intercept which is -3 on that line.

Answer: A (-3) is correct

Explanation: Edge:2023

Please I need help on two problems 15 points anyone? Hellpppp I’m desperate

Answers

Answer:

to se es la cesa lopa nesma

Write each number in standard form.

6.1 × 104

Answers

634.4   so the standard form is 600  + 30  + 4  + 0.4

Answer:

634.4 or 6.344*10^2

Step-by-step explanation:

When you're being asked to write an expression in standard form, the question probably wants you to simplify the expression or write it in scientific notation

Usually, in lower levels, you would simplify the expression, in which case you would multiply 6.1 by 104 using either a calculator (if you're allowed) or on paper to get 634.4

If you think your teacher wants you to use scientific notation, you would want to write your expression as a number under 10 multiplied by a power of 10. For example, if you were looking to write 6*8 in scientific notation/standard form, you would simplify for a product of 48, and turn that into 4.8*10. In your problem, you can multiply 6.1*104, and write your product of 634.4 as 6.344*10^2

please tell me if there are any mistakes in my answer, if i wrote anything poorly, or if anything is hard to understand, i hope this helps!!

number 3 and 4 please

Answers


3.)
Center: (0,1)
Radius: 3
Equation: x²+(y-1)²=9

4.)
Center: (1,-2)
Radius: 2
Equation: (x-1)²+(y+2)²=4

Hopefully that helps! I’ll give you a link to a helpful video if you need explaining!

10
10
Identify the equation of the graph shown.
y = 2x - 3
B)
y = 2x + 6
C)
y = 0.5x + 6
D)
y = 0.5x - 3

Answers

Answer:

The answer is C hopefully this helps

Step-by-step explanation:

HELP ME PLEASE FOR THE SAKE OF GOD :)

Answers

200•0.08=16
200+16=216
The initial amount after a year will be 216$

Ezra deposited $30 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 2 years?

Answers

Answer:

$36.00

Step-by-step explanation:

10% of 30 is 6. Add that to the original amount

HELP!!!
A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 1 gallon of punch?

Answers

Answer: 3/4 cup

Step-by-step explanation: yeah

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