What are the solutions to the quadratic equation x2 – 16 = 0?
O x = 2 and x = -2
x = 4 and x = -4
x = 8 and x = -8
x = 16 and x = -16

Answers

Answer 1

Answer: x=8 and x=-8

Step-by-step explanation:

To find the solutions of the quadratic equation, you want to factor it and set it equal to 0.

x²-16=0

(x+8)(x-8)=0

x+8=0

x=-8

x-8=0

x=8

Now that we have factored and set the factors equal to 0, we found that the solutions are x=-8 and x=8.


Related Questions

helllllllllllllllllllllpppppppppp

Answers

Answer: C

Step-by-step explanation: 7 squared is 49 so

.7 times .7 is .49

On November 1, the balance of a credit card account is $2,835.63. There was a payment of $230.00 made on

November 12 as well as a new purchase for $121.36. On November 25, a second payment of $25.00 was made. The

annual interest on the account is 17.65%. Determine the finance charge for the account using both the average daily

balance and the adjusted balance methods. Which method would be more advantageous to the cardholder? Justify

your reasoning. Answer in complete sentences.

Answers

Answer:

The adjusted balance is generally the most advantageous billing method for the cardholder since the financial charges are lower ($39.20 < $40.07). This happens because interest is only charged on the final monthly balance, and cardholders can decrease that balance during any day of the billing cycle.

Step-by-step explanation:

November 1: balance $2,835.63

November 12: $230 payment

November 12: $121.36 purchase

November 25: $25 payment

annual interest 17.65%

average daily  balance = {(11 x $2,835.63) + [13 x ($2,835.63 - $230 + $121.36)] +  [6 x ($2,835.63 - $230 + $121.36 - $25)]} 31 days = ($31,191.93 + $35,450.87 + $16,211.94) / 30 days = $82,854.74 / 30 days = $2,761.82

financial charge = ($2,761.82 x 30 x 17.65%) / 365 = $40.065 ≈ $40.07

adjusted balance = $2,835.63 - $230 + $121.36 - $25 = $2,701.99

financial charge = $2,701.99 x 17.65% x 30/365 = $39.197 ≈ $39.20

Find the lowest common denominator of the following fractions.5/n-2 and n+2/ n^2-4 n - 2 n2 - 4 (n - 2)(n2 - 4)

Answers

Answer:

(n-2)(n+2)

Step-by-step explanation:

The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.

 (n^2 -4) = (n -2)(n +2)

Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...

 (n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2

This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).

If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).

if you have blue, green ,yellow and red what is the probability of spinning red twice

Answers

1/4

If you have 4 different colors and probability of getting 1 color it would be 1/4

Answer:

2% chances

Step-by-step explanation:

The probability of spinning red is 2 out of 4 because since there is 4 colors and spinning a color twice it can't happen.

How do i know

1: Divide the number of color by the number of  outcomes

2: So since there are 4 colors and twice means 2.

3: 4 divided by 2 = 2% chances.

Hope this helps.

What is the value of a ?

50
55
100
110

Answers

Answer:

50

Step-by-step explanation:

The inscribed angle theorem tells us that the inscribed angle of an arc is half the arc measure.

As a is the inscribed angle, the answer is 100/2 = 50

Of the cones recently sold by an ice cream shop, 3 had cookie dough ice cream and 15 had other flavors. What is the experimental probability that the next cone sold will have cookie dough ice cream?

Write your answer as a fraction or whole number.

Answers

Answer:1/6

Step-by-step explanation:

15+3 =18

[tex]\frac{3}{18}[/tex] = 1/6

Which numbers are solutions to the inequality
– 3x-3<6? Select all that apply.
A. -5
B. -4
C. 0
D. 2
E.4

Answers

Answer:

C. 0

D.2

E.4

Step-by-step explanation:

To know which numbers are solutions to the inequality, we will follow the steps below:

-3x -3 < 6

add 3 to both-side of the inequality

-3x -3 + 3 <6+3

-3x < 9

Divide both-side of the inequality by -3

-3x/-3 >9/-3

whenever we are dividing both-side of inequality by a negative number, the inequality sign will change

x > -3

all values of x that are greater than -3 will satisfy the inequality

They are 0, 2 and 4

check the solution:

for x=0

-3x -3 < 6

-3(0) -3 < 6

-3 < 6

for x = 2

-3x -3 < 6

-3(2) -3 < 6

 -6 -3 < 6

   -9< 6

for x = 4

-3x -3 < 6

-3(4)-3 < 6

-12-3 < 6

-15 < 6

Answer:

Picture down below. Have a good day!

Step-by-step explanation:

Edge 2021

What is the final transformation in the composition of
transformations that maps pre-image ABCD to image
A'B'C"D"

Answers

Answer:

Translation

Step-by-step explanation:

We'll translate (move) the quadrilateral ABCD to A'B'C'D' to prove their congruency

Answer:

The Answer is C. a 270 degree rotation about point B’

Step-by-step explanation:

Took the test, here is image proof lol, hope this helps you guys

Give the answer correct to 3 significant figures.

Answers

Answer:

52.868

Step-by-step explanation:

do you want me o explain step by step

Answer:

52 point 868

Step-by-step explanation:

i think but no one ever wants an explanation unless u want one lol

Josephine is opening a retail shoe store and has developed this graph to represent her projected revenue, costs, and profit. Which two
sentences correctly interpret the graph?
20.000
revenue
Dollars
costs
profits
50
Profits increase until the price of the shoes reaches $22.
Costs decrease until the price of the shoes reaches $22,​

Answers

Answer:

Profits increase until the price of the shoes reaches $22.

There are more prices with positive revenues than positive profits.

Step-by-step explanation:

In the picture attached, the problem is shown.

The first sentence is true because the profit curve has a maximum at $22.

The second sentence is true because the profit is computed as follows:

profit = revenue - cost

and cost decreases as the price increase; therefore, there are positive revenues with negatives profits.

The  two sentences which correctly interpret the graph include:

Profits increase until the price of the shoes reaches $22.There are more prices with positive revenues than positive profits.

What is a Graph?

This is defined as a pictorial representation of numbers or variables in an organized manner.

The profit curve has a maximum at $22 which makes statement 1 correct while from the graph we can also deduce that there are more prices with positive revenues.

Read more about Graph here https://brainly.com/question/11539624

#SPJ2

Slove the equation -3x+1+10x=x+4

Answers

Answer:

16

Step-by-step explanation:

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]-3x+1+10x=x+4[/tex]

[tex]-3x+10x-x=4-1[/tex]

[tex]6x=3[/tex]

[tex]x=2[/tex]

Let u = < -6 , 3 >, v = < 1 , 9 >. Find u - v.

Answers

Answer:

< - 7, - 6 >

Step-by-step explanation:

Subtract corresponding components, that is

u - v

= < - 6, 3 > - < 1, 9 >

= < - 6 - 1, 3 - 9 >

= < - 7, - 6 >

You use a garden hose to fill a wading pool if the water rises 12 cm or seven minutes and you record the data point of (21,y) What is the value of Y?

Answers

Answer:

The rate of change at which the water level rise is 13/6 cm/minute.The slope of the line is 13/6.The value of y is 23, (12,23).

Step-by-step explanation:

In the question the water rises 13 cm every 6minutes. Taking x to represent the time in minutes and y to represent the rise in cm then, find the rise y in time x as;

6 minutes=13 cm

1 minute=?---------------------perform cross multiplication

(1*13)/6=13/6

Hence in 1 minute, the rise is 13/6 cm

Thus in 12 minutes, the rise will be ;

12 * 13/6 = 2*13= 26 cm

(x,y) will be (12,26)

Finding the slope of the line using point (6,13) and (x,y)

The rate of change at which the water level rises equals the slope of the line.This is the justification.

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?

-7





1



7

Answers

Answer:

14

Step-by-step explanation:

Plug in the values into each equation and solve.

3x² - 2y

3(3)² - 2(5)

3(9) - 10

27 - 10

17

2x² - 3y

2(3)² - 3(5)

2(9) - 15

18 - 15

3

Now take the two values and subtract them from each other.

17 - 3 = 14

(x - 4)(x + 5) need help asap

Answers

Answer:

[tex]x^2+x-20[/tex]

Step-by-step explanation:

[tex](x-4)(x+5)= \\\\(x)(x)+(5)(x)+(-4)(x)+(-4)(5)= \\\\x^2+5x-4x-20= \\\\x^2+x-20[/tex]

Hope this helps!

x (squared) +x−20

(x+−4)(x+5)=(x)(x)+(x)(5)+(−4)(x)+(−4)(5)=x(squared)+5x−4x−20=x2+x−20

Define a quadratic function y = f (x) that satisfies the given conditions.
Vertex (-3, -4) and passes through (0, -31).

Answers

Answer:

it says that the given condition for vertex (-3,-4) and passes through (0,-31)

The cost of renting an apartment can be modeled by the function C(m)=900m+1400, where C(m) is the cost in dollars for m months of living in the apartment. State the meaning of the slope and y-intercept of this function with respect to the costs associated with renting the apartment.

Answers

Answer:

On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.

Step-by-step explanation:

This function is linear, which means that it increases at a steady rate and has the following form:

[tex]y(x) = a*x + b[/tex]

Where "a" is the slope or the rate at which "y" changes for every change in "x". While "b" is the number at which the function crosses the "y" axis.

On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.

Please help me!!!!!!! :)

Answers

Answer:

The answer would be 2

Step-by-step explanation:

Add the numbers given: 0+1+2+3+4=10.

Divide the answer by the amount of numbers given: 10÷5=2.

Your answer is 2.

Find the Value of x.

28
20
0 10

Answers

Answer:

x =28

Step-by-step explanation:

We have similar triangles, so we can use ratios

12           8

------    = ----------

12+30     x

Using cross products

12x = 8*(42)

12x = 336

Divide by 12

12x/12 = 336/12

x =28

petunia has 4 friends now. last year she had 16 friends. what is the percent change?

Answers

Answer:

25%

Step-by-step explanation:

4/16

= 1/4

= 0.25

= 25%

Consider this system of equations. Which shows the first equation written in slope-intercept form?
1/2 (2y + 10) = 7x
y=8

Answers

Answer:

You're correct it's [tex]y=7x-5[/tex]

Step-by-step explanation:

If you isolate y that's the correct answer.

[tex]1/2(2y+10)=7x[/tex]

Just multiply the things in the parenthesis by 1/2:

[tex]y+5=7x[/tex]

Then isolate y further by subtracting five from each side to get the answer:

[tex]y=7x-5[/tex]

I need mega help pleasseeeeee

Answers

Answer:

-m/5 - 5 = 1

       + 5 + 5

-m/5 = 6

*5          * 5

-m = 30m = -30

First move the numbers to one side.

Then you have to cancel the fraction.

Then solve.

Hope this helps

At the Laika Boss Kennel Club, there are 15 dogs that are hairy or small, 2 dogs that are hairy and small, and 9 dogs that are small. How many dogs are hairy?

Answers

Answer:

8 hairy dogs

Step-by-step explanation:

There are 15 dogs that are hairy or small

2 that are hairy and small

9 that are small

small - ( hairy and small) =just small

9 -2 = 7 small only dogs

Take the total dogs minus the small dogs minus the small and hairy dogs to find the hairy dogs

15 - 7 - 2 =6

There are 6 hairy dogs

2 small and hairy dogs

7 small dogs

total 15 dogs

If we want the total of the hairy dogs

2 small and hairy + 6 hairy = 8 hairy dogs

Which of the following is a geometric sequence? Question 11 options: A) 2, 6, 18, 54, 162, 486, ... B) 0, 5, 10, 15, 20, ... C) 1, 5, 9, 13, 17, ... D) 5, 1, –3, –7, –11, –15, ...

Answers

Answer:

A

Step-by-step explanation:

A geometric sequence is a sequence that increases by a factor from one term to the next. A is the only one that does this, and it increases by a factor of 3. All the others are an arithmetic sequence, where each term in increasing by a constant number.

Answer:

A

Step-by-step explanation:

Identify the transformation that results in an image that's not congruent to the pre-image. Question 9 options: A) Rotation B) Translation C) Dilation D) Reflection

Answers

Answer:

C) Dilation

Step-by-step explanation:

Rotation is simply rotating an object, therefore, the size and shape remain the same.

Translation is moving the object across the plane, and again, the size and shape will stay the same.

Reflection is reflecting a shape across a certain line. It will still keep its size and shape.

However, dilation is enlarging or shrinking a shape. This means that the shape will change size, but not shape. A dilation of a shape will be similar, but not congruent, to it.

Hope this helps :) Feel free to ask me any questions!

Answer:

C

Step-by-step explanation:

]solomon needs to justify the formula for the arc length of a sector. which expression best completes this argument? the circumference of a circle is given by the formula c=pi * d , where d is the diameter. because the diameter is twice the radius, c= 2 * pi * r. if equally sized central angles, each with a measure of n°, are drawn, the number of sectors that are formed will be equal to 360°/n° the arc length of each sector is the circumference divided by the number of sectors, or _____. therefore, the arc length of a sector of a circle with a central angle of n° is given by 2*pi*r*n/360 or pi*r*n/180 . a. 2*pi*r/270/n b. 2*pi*r/360/n c. 2*pi*r/180/n d. 2*pi*r/90/n

Answers

Answer:

[tex]\frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}}[/tex] best completes this argument

Step-by-step explanation:

Circumference of circle =[tex]\pi \cdot d[/tex]

Where d is the diameter of circle

We are given that if equally sized central angles, each with a measure of n°, are drawn, the number of sectors that are formed will be equal to [tex]\frac{360^{\circ}}{n^{\circ}}[/tex]

So, Number of sectors =  [tex]\frac{360^{\circ}}{n^{\circ}}[/tex]

The arc length of each sector is the circumference divided by the number of sectors

[tex]\Rightarrow \frac{\pi \cdot d}{\frac{360^{\circ}}{n^{\circ}}}[/tex]

Diameter d = 2r (r = radius)

[tex]\Rightarrow \frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}}[/tex]

Option b is true

Hence[tex]\frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}}[/tex] best completes this argument

Answer:

2 pie r/ 360 over n

Step-by-step explanation:

just did this

Hi


Please answer:


How are you?


What is this?

Answers

This is a App called Brianly in which you ask questions regarding your knowledge

I am good and this is an app where you can ask questions and get the answers.

Which location does the point (0, 4)​ represent on the graph below?

A House

B Library

C Park

D School

Answers

It’s represent school on the graph
It represents the school

Please help me answer this question

Answers

Answer:

B

Step-by-step explanation:

Use the formula: V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h

33.5 = [tex]\frac{1}{3}[/tex](3.14)(4)h

33.5 = 4.19h

8 = h

What 3 numbers multiplied equal 12.5?

Answers

3 different numbers - 5 x 2 x 1.25 = 12.5
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