QUADRATIC EQUATION â€" WORD PROBLEMS

The sum of two numbers is 5 and their product is â’84. Find these numbers


The answer is 12 , -7

I just need the steps

Answers

Answer 1

Answer: -7, 12

Step-by-step explanation:

a+b = 5

a*b = -84

a = 5-b

(5-b)*b = -84

-b^2 + 5b + 84 = 0

(-b - 7)(b + 12) = 0

The roots are -7 and 12.

I'm not sure what â€" stands for


Related Questions

please help with this one. I will give brainliest!!

Answers

Answer: 78.54

Step-by-step explanation:

Answer:

31.4 cm²

Step-by-step explanation:

10*3.14=31.4²

Written Response: Sally believes that 1/2% is equivalent to 50%. Is she correct? Why or why not?​

Answers

Answer:

She is correct.

Step-by-step explanation:

1/2 and 50% is the same thing

50%  is 1/2 of 100

She is indeed correct I agree with the other person

Find the mean cost of pants: $12, $16, $22, $ 23, $11, $14. Round to the nearest cent.

Answers

Answer:

16.33

Step-by-step explanation:

I hope this was right!

A frog can hop at a maximum speed of about 60 feet every 4 seconds. How far can the frog go in 30 seconds?​

Answers

Answer:

450 feet

Step-by-step explanation:

60ft = 4 seconds

x ft = 30 seconds

(cross multiply)

60 * 30 = 4x

1800= 4x

(divide both sides by 4)

x= 1800/4= 450

Answer:

ur answer would be 450 feet

Step-by-step explanation:

srry if wrong hope this helps<3

Help me please I don’t know the answer

Answers

(1.9x1)+(1.9x5.6)=12.54
The answer is 12.54 cm^2 (the second option)

Please someone help me

Answers

2x^2 + 14x + 12 = 0

x^2 + 7x + 6 = 0

( x + 1 )( x + 6 ) = 0 ==》 x = - 1 Or x = - 6

I need help on this

Answers

Blue 2/10
Reds 4/10
Greens 3/10
Yellow 1/10
Not blue 8/10
Hope this is right

Help me please this is hard and I don’t understand

Answers

Answer:

360

Step-by-step explanation:

Area=QR*18

=360

Use the distance formula to find the distance between each PowerPoint round to the nearest 10th if necessary

Answers

Answer:

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

Distance = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

a). A(-6, -4), B(-3, -1)

Distance between A and B = [tex]\sqrt{(-6+3)^2+(-4+1)^2}[/tex]

                                             = [tex]\sqrt{9+9}[/tex]

                                             = 3√2

                                             = 4.2 units

b). C(3.5, 1), D(-4, 2.5)

Distance between C and D = [tex]\sqrt{(3.5+4)^2+(1-2.5)^2}[/tex]

                                              = [tex]\sqrt{58.5}[/tex]

                                              = 7.65

                                              ≈ 7.7 units

c). Distance between X(5, -5) and Y(-5, 5)

    Distance = [tex]\sqrt{(5+5)^2+(-5-5)^2}[/tex]

                    = [tex]\sqrt{200}[/tex]

                    = 10√2

                    = 14.14

                    ≈ 14.1 units

The question is in the screenshot.

Vertex:
Axis of Symmetry:
Y-Intercept:
Domain:
Range:
Does it open up or down?
Does it have a max or min?
Roots: ( ) and ( )?

Answers

you can use socratic for that

Can someone please help me

Answers

Answer:

n/3+4=9

    -4   -4

3x n/3=5x3

n=15

Step-by-step explanation:

i hope this helps :)

the box on the first row to the left is -4.
the box on the first row to the right is -4.
the box on the second row to the left is 3x.
the box on the second row to the right is x3.
the box on the last row is 15.
I hope I helped!

Given the two dilated figures, what is the length of AB

Answers

I think the answer is B

sorry if I am wrong

If x=2, what is the value of x (14-x)

Answers

Answer:

24

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Please help me it’s due at 11‼️‼️‼️

Answers

Answer:

answer is 1.1

Step-by-step explanation:

that you can divide and see the answer

HELP ASAP
High-quality goods and services are made available to consumers because of producers __________.


A.hold self-interests

B.would like to compete

C.look for subsidies

D.specialize in production



Please select the best answer from the choices provided



A

B

C

D

Answers

Answer:

I think it’s D.

Step-by-step explanation:

What is the distance from point A to point B? What is the perimeter of the shape?​

Answers

1. The distance between any two points is the length of the line segment joining the points.
2. The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.

Answer:

first one is 8 second one is 28

Step-by-step explanation:

correct on edge

can someone please help me

Answers

1.
x=−2±6i
———
5

2. x= 2 ± i√2

The price of a wooden stool is $36, the wooden stool has a discount for 45% off. What is the sale price?

Answers

$19.80 is the sale price


What is the area of the triangle pictured below?
3
13
5
11
PLEASE HELP

Answers

Answer:

Step-by-step explanation:

2145

The way that you find an area of a triangle is by using
A= basexhight divided by 2
If you use that, you will get your answer

Solve the equation above for X.

Answers

Answer:

[tex]\large\boxed{\tt x = 444.}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]

[tex]\textsf{Note that our goal is to leave x alone on the left side of the equation. In order}[/tex]

[tex]\textsf{to do so we will need to use the \underline{Properties of Equality}.}[/tex]

[tex]\large\underline{\textsf{What are the Properties of Equality?}}[/tex]

[tex]\textsf{Properties of Equality are 9 Properties that allows us to manipulate equations}[/tex]

[tex]\textsf{to, commonly find unknown variables or to determine if equations are true.}[/tex]

[tex]\textsf{For our problem, we will be using 2 out of 9 of these properties as we need to}[/tex]

[tex]\textsf{isolate x, and make sure x is 1x.}[/tex]

[tex]\large\underline{\textsf{Solving for x;}}[/tex]

[tex]\tt \frac{1}{2} x-41=181[/tex]

[tex]\textsf{Let's first use the Addition Property of Equality where the equation will be equal}[/tex]

[tex]\textsf{if we add the same number to both sides of the equation. Let's start by adding}[/tex]

[tex]\textsf{41 to both sides of the equation.}[/tex]

[tex]\tt \frac{1}{2} x-41+41=181+41[/tex]

[tex]\tt \frac{1}{2} x = 222[/tex]

[tex]\textsf{Next, let's use the Multiplication Property of Equality where the equation is}[/tex]

[tex]\textsf{equal if we multiply the same number to both sides of the equation. Let's}[/tex]

[tex]\textsf{multiply 2 to both sides of the equation to cancel out} \ \tt \frac{1}{2} .[/tex]

[tex]\tt 2 \times \frac{1}{2} x = 222 \times 2[/tex]

[tex]\large\boxed{\tt x = 444.}[/tex]

Please help will give brainliest

Answers

Answer:

A) it wouldn't fit

Step-by-step explanation:

Answer:

its b i did that befroe and it was b

Step-by-step explanation:

treveon paddled 35 miles downstream in his boat. the speed of the water current was 4 miles per hour. mark paddled 10 miles upstream in his boat. the speed of the water current was 2 miles per hour. the total trip took 9 hours and 40 minutes. about how much time did the part of the trip take?

Answers

Answer: 6622

Step-by-step explanation:

Write the decimal as a fraction or mixed number in lowest terms.

1.01 plz no links

Answers

Answer:

1/100

Step-by-step explanation:

Hope it helps

Please brainliest

If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 2z - 3x =

Answers

Answer:

the answer is 2

Step-by-step explanation:

2(4)-3(2)=

8-6=2

Use the distributive property to simplify this expression
-9(n-4)

Answers

Answer:

-9n + 36

Step-by-step explanation:

1. -9(n - 4)    -Distribute

2. -9n + 36  -Answer

[tex]\huge\fbox{\sf{Answer:~~{\boxed{-9n+36}}}}[/tex]

Step-by-step explanation:

Hi there!

Let's simplify this expression. It's easy, because all we have to do is "distribute"  -9:

[tex]\bold{-9(n-4)}[/tex]

[tex]\bold{-9n+36}[/tex]

Hope it helps!

#[tex]\rm{HaveAnAmazingDay:)[/tex]

~ [tex]\sf{Just~a~teenage~girl~willing~to~help[/tex]

[tex]\bold{Besties4Ever:-):-):-)}[/tex]

PLSSS HELLLLPPPP. MEEee

Answers

Answer:

B

Step-by-step explanation:

Since here, 100x = 1, and since we already have one, we can leave that aside. It would never be d because that is way larger. The second square is 6/100 and since earlier we said 100x = 1, we would have to make an equation. Your answer is B

Imagine that you would like to purchase a $275,000 home. Using 20% as
a down payment (or $55,000), determine the monthly mortgage payment
for your dream home using the loan terms below. Hint: Read the Loan
Calculator tip at right for a tool that will help you make the calculations.
A. 15-year mortgage term with a 3% interest rate
Total Amount Paid Over Loan Term
Minimum Monthly Payment:
B. 20-year mortgage term with a 6% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
C. 30-year mortgage term with a 5% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
Which mortgage would you choose and why?

Answers

Answer:

The mortgage chosen is option A;

15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470

Step-by-step explanation:

The details of the home purchase are;

The price of the home = $275,000

The mode of purchase of the home = Mortgage

The percentage of the loan amount payed as down payment = 20%

The amount used as down payment for the loan = $55,000

The principal of the mortgage borrowed, P = The price of the house - The down payment

∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000

The principal of the mortgage, P = $220,000

The formula for the total amount paid which is the cost of the loan is given as follows;

[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]

The formula for monthly payment on a mortgage, 'M', is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

A. When the mortgage term, t = 15-years,

The interest rate, r = 3%

The number of months over which the loan is payed, n = 12·t

∴ n = 12 months/year × 15 years = 180 months

n = 180 months

The monthly payment, 'M', is given as follows;

M =

The total amount paid over the loan term = Cost of the mortgage

Therefore, we have;

220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)

[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]

The minimum monthly payment for the loan, M ≈ $1,519.28

The total amount paid over loan term, A = n × M

∴ A ≈ 180 × $1,519.28 = $273,470

The total amount paid over loan term, A ≈ $270,470

B. When t = 20 year and r = 6%, we have;

n = 12 × 20 = 240

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]

The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276

The monthly payment, M = $1,576.15

C. When t = 30 year and r = 5%, we have;

n = 12 × 30 = 360

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]

The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163

The monthly payment, M ≈ $1,181.01

The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability

Therefore;

The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;

The total amount paid over the loan term = $270,470

Convert 5 1/6 to a decimal through long division.

Answers

Answer:5.83

Step-by-step explanation:

In which of the expressions below will x = 25? Select all that apply.

Answers

Answer:

Option C

Option D

Step-by-step explanation:

We have to calculate each expression to find for which one is the solution is x=25.

A)

[tex] \frac{x + 6}{3} = 10 \\ x + 6 = 10 \: . \: 3 \\ x + 6 = 30 \\ x = 30 - 6 \\ x = 24[/tex]

B)

[tex]x - 8 = 32 \\ x = 32 + 8 \\ x= 40[/tex]

C)

[tex]6x - (15 + 4x) = 35 \\ 6x - 15 - 4x = 35 \\ 2x = 35 + 15 \\ 2x = 50 \\ x = \frac{50}{2} \\ x = 25[/tex]

D)

[tex] \frac{3x}{5} = 15 \\ 3x = 15 \: . \: 5 \\ 3x = 75 \\ x = \frac{75}{3} \\ x = 25[/tex]

E)

[tex]4(x - 18) = 12 \\ x - 18 = \frac{12}{4} \\ x - 18 = 3 \\ x = 3 + 18 \\ x = 21[/tex]

Which of these might describe expenses for a student? Select all that apply.

donations
food
shoes
allowance
savings
gift received

Answers

Answer:

Foods and shoes thats it

Step-by-step explanation:

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