Mathematics Middle School

Algebraically find the roots of the quadratic equation: w2 + 8w+ 15 = 0
(HINT: You may factor or use the quadratic formula)

Answers

Answer 1

Answer:

w = - 5, w = - 3

Step-by-step explanation:

Given

w² + 8w + 15 = 0

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the w- term (+ 8)

The factors are + 5 and + 3 , since

5 × 3 = 15 and 5 + 3 = 8 , thus

(w + 5)(w + 3) = 0 ← in factored form

Equate each factor to zero and solve for w

w + 5 = 0 ⇒ w = - 5

w + 3 = 0 ⇒ w = - 3

Related Questions

what value of x makes this equation true -(x+3)=2(x-3)

A. 0
B. 1
C. 2
D. 3

Answers

Answer:

To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:

Step 1: Distribute the negative sign on the left side of the equation:

-(x + 3) = 2(x - 3)

=> -x - 3 = 2(x - 3) (using the distributive property)

Step 2: Expand the right side of the equation:

-x - 3 = 2x - 6

Step 3: Add x to both sides of the equation to isolate the x term on one side:

-x + x - 3 = 2x + x - 6

=> -3 = 3x - 6

Step 4: Add 6 to both sides of the equation:

-3 + 6 = 3x - 6 + 6

=> 3 = 3x

Step 5: Divide both sides of the equation by 3 to solve for x:

3/3 = 3x/3

=> 1 = x

So, the correct value of x that makes the equation true is B. 1.

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Answer:

B, one

Step-by-step explanation:

In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.

Pls i need a answer 3 more...

Pls i need a answer 3 more...

Answers

Okay the expression is

7
——
4
————
5/6 + 1/15

So first off 5/6 + 1/15 = 9/10

The expression looks like this

7
—
4
——
9
—
10

To get ride of the complex fraction, you need to do multiply 7/4 by the reciprocal of 9/10, like so:

7/4 * 10/9 = 70/36

To simplify divide by 2, the answer is

35
——
18

Trying to get this finished before tonight!

Trying to get this finished before tonight!

Answers

Answer:

Step-by-step explanation:

The first step will be to split the area in two separete functions, one to find the rectangle and the other one to find the triangle.

Area of a rectangle A=L*WArea of a triangle A=1/2*B*H (1/2* the length of the base* the length of the height) The area of the rectangle will be A=18*10= 180 The area of the tringle will be A=1/2*8*6= 24 Your answer will be 204 ft^2

Answer: 204 Sq. Ft.

Step-by-step explanation:

Length Of Rectangle= 18 Ft.

Breadth Of Rectangle= 10 Ft.

Formula For Area Of Rectangle= Length x Breadth

                                                    = 18 x 10 Sq.ft.

                                                     =180 Sq. Ft.

Breadth Of Rectangle + Height Of Triangle = 18 Ft.

So, Height Of Triangle = 18 - 10 ft

                                       = 8 Ft.

Base Of Triangle = 6 Ft.

Formula For Triangle Area = \(1/2\) x Base x Height

                                              =  1/2 x 6 x 8 Sq. Ft.

                                              = 24 Sq. Ft.

So, Sum Of Area Of Rectangle And Triangle = 24+ 180 Sq. Ft.

                                                                          =   204 Sq. Ft. (Answer)

[Hope You Found It Useful]

PLEASE HELP IF I GET THIS WRONG MY MOM WILL KILL ME
Grace Ann correctly evaluates the expression.

(−14.9/1)(1)

Which statements can Grace Ann make?

Select all correct statements.

Responses

The first factor is −14.9.

The first factor is 14.9.

The product is 14.9.

The product is −14.9

Answers

I think the answer is the product is -14.9.

The first factor is -14.9

How does the cart seem to move from the 0 cm. mark depending on your location?

Answers

Answer:

it does not move.

Step-by-step explanation:

....

Answer:

The cart will not move.

Step-by-step explanation:

For each given slope and y- intercept, complete the equation of the line. Then complete the ordered pairs that you would find on the graph of the line. (use decimal notation if necessary).

For each given slope and y- intercept, complete the equation of the line. Then complete the ordered pairs

Answers

Answer: y= 1/5x+2 and 3/5x+3 and spmeyjonddhoiwejs

Step-by-step explanation:

Using the interquartile range (IQR), determine if the data set contains any outliers. Name the outlier or choose No outliers.
{20, 25, 25, 26, 28, 30, 32, 33, 37, 56}
A. 25
B. 56
C. 45
D. No outliers

Answers

I would say the outlier is B. I’d say B because it’s way bigger than the other numbers on the graph.

Find all solutions to the equation (x - 1)^2 = -4

Answers

Answer:

x=-3

Step-by-step explanation:

x*x-1*1=-4

x-1=-4

x-1+1=-4+1

x=-3

Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.

Pls find the answer winter break is almost ending

Answers

90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you...

The answer is 8 so its a direct proportion

I think...

The constant of Proportionality is 8.

What is constant of Proportionality?

If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.

Given:

Total Baseball Caps= 30

Total amount of Cap= $240

let the number of caps sold be c.

Then, the equation is

30 c= 240

and, c= 240/30

c= 8

Hence, the constant of Proportionality is 8.

Learn more about constant of Proportionality here:

https://brainly.com/question/29126727

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(Will give BRAINLIEST if answered adequately) PLEASE answer number 12 and EXPLAIN how you got the answer.

(Will give BRAINLIEST if answered adequately) PLEASE answer number 12 and EXPLAIN how you got the answer.

Answers

Answer:

The graph of the line shifts horizontally left 2 units.

Step-by-step explanation:

Help me with this problem

Help me with this problem

Answers

Answer:

A

Step-by-step explanation:

Hope this helped!! :)

A)is the answer hope I help

It takes Taylor 1/3 hour to make 3/4 of a batch of cookies. About how long will it take them to make 8 batches?

Answers

Answer:

8 hours

Step-by-step explanation:

First find out how many times more of batches Taylor needs:

8 ÷ 3/4 = 8 · 4/3 = 32/4 = 8 times more batches

So you do 1/3 · 8 which is 8 hours

It will take 8 hours

help asap!!!!!! please and thank youuuuu

help asap!!!!!! please and thank youuuuu

Answers

Answer:

156°

Explanation:

For this question use the formula "(n-2) x 180°" where n is the number of sides in a regular polygon, and divide the answer by the number of sides.

15 sides(15-2) x 180 = 2,340°2,340 / 15 = 156°
Answer 156 because if we use a protracted measurement it will be the answer

Help it is Parts of an Algebraic Expression

Help it is Parts of an Algebraic Expression

Answers

Answer:

3 terms 1 coefficient 2 variables

Step-by-step explanation:

answer: c and a are variables. 9 is a coefficient. and i’m pretty sure 18 is a term.

hope this helps!!

Hi! I’ll give brainliest to best answer!

Thanks so much in advance!

Hi! Ill give brainliest to best answer!Thanks so much in advance!

Answers

I believe the answer is 6!
D-6
(Use BODMAS/PENDMAS/BIDMAS)

88. Referring to the figure, Mrs. Hawkins took four slips of paper
and wrote a different student's name on each. Two of the names were
boys and two girls. She put the four slips of paper in a bag and said
she is going to draw two slips out. She then drew the tree diagram
to show the different outcomes that are possible. "B" represents a
boy's name and "G" represents a girl's name. What is the theoretical
probability that the teacher draws two names that are the same sex?
a. 1/6 c. 1/3
b. 2/3 d. 1/12

88. Referring to the figure, Mrs. Hawkins took four slips of paperand wrote a different student's name

Answers

Answer:

a. 1/6

Step-by-step explanation:

I just counted the 12 outcomes and the 2 same sex possibilities, which would turn to 2/12, and then simplified it into 1/6. I hope this is right, I am very sorry if it isn't.

Is ldkghhhhhhhcfffgnjghy

This graph shows how the length of time a canoe is rented is related to the rental cost. What is the rate of change shown in the graph? A. $3/hour B. 3 hours/dollar C. $6/hour D. 6 hours/dollar

This graph shows how the length of time a canoe is rented is related to the rental cost. What is the

Answers

Answer:

what is the answer?

Step-by-step explanation:

Answer:

C. $6/hour

Step-by-step explanation:

AP3X

PLEASE PLEASE PLEASE HELP ME I WILL MARK BRAINLIEST!!!!
What is the function of the large central vacuole in a plant cell?
Group of answer choices

A) water storage and support

B) protein production and digestion

C) cellular respiration and photosynthesis

D) waste disposal and storage of the genetic material

Answers

Answer:

(A)

Step-by-step explanation:

The large central vacuole is surrounded by its own membrane and contains water and dissolved substances. Its primary role is to maintain pressure against the inside of the cell wall

C it should be c I think

Formative Math Question

Formative Math Question

Answers

Answethe answer is 2

Step-by-step explanation:

The answer is D because slope is 6 and intercept is 0

Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?

Answers

To determine whether Keira's statement is correct, we need to analyze the information provided.

According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.

If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.

However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.

Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
in order to know if Keira has two tickets left, we need to know the first number of tickets without that number there is no way to find the remainder

Please Help me! Please complete everything! Kiki’s grandmother gives her two empty piggy banks. Kiki decides to add 1
penny to Piggy Bank 1 each day. She also decides to add 2 pennies to
Piggy Bank 2 each day. Day 1 is completed for you.
(a)Complete this table to show how many pennies are in the piggy banks
for the first five days that Kiki has them

Please Help me! Please complete everything! Kikis grandmother gives her two empty piggy banks. Kiki decides

Answers

Answer:There are 15 Pennie’s in the piggy banks

Step-by-step explanation:

X=1,2,3,4,5

Y=2,4,6,8,10

Total pennies=15

There is 5 in piggy bank 1 and 10 in piggy back 2 for a total of 15pennys

A school survey reported that 16.% of the students in Zed's homeroom class ride their bikes to school. This percent represents a repeating decimal. Write only the repeating decimal as a fraction. Show your work!

Answers

Answer:

16 3/5

Step-by-step explanation:

thank divinesworldtv they have the right answer

if a square is dilated by a factor of 2 what is the measure of each individual angle

Answers

Answer:

4:1

Step-by-step explanation:

If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².

The measure of each individual angle will be of 90°

What is a quadrilateral ?

A quadrilateral is a 2D figure which has 4 sides.

According to the given question a square is dilated by a factor of 2.

Suppose the side of the original square was x cm.

∴ We know the area of he square will be side² which is

= (x)²

= x².

Now the square is dilated by a factor of 2.

∴ Side of the new square will be 2x and the area of the new square will be (2x)² which is 4x².

But the measure of each individual angle will be same and they are all of 90°.

learn more about quadrilateral here :

https://brainly.com/question/13805601

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Classify the numbers according to their positions on a vertical number line. 1.5 -4.5 4 -2.5 -0.5 0.5

Classify the numbers according to their positions on a vertical number line. 1.5 -4.5 4 -2.5 -0.5 0.5

Answers

Answer:

Below -2: -4.5, -2.5

Between: -0.5, 0.5

Above 1: 1.5, 4

Step-by-step explanation:

Solve this addition question by substituting numbers for the given letters to find the value of START. Each letter represents a unique digit.

JOAN+CAN=START

Answers

Solved the given question by addition rules and the value of START is 10430.

Given-

The given problem is from the alphabetical puzzle. In the given problem the equation given is,

JOHN + CAN = START.

It can be written as,

   J  O  H  N

+      C  A  N

__________

S  T  A  R  T

__________

S must be 1, because, even if we assume all the missing digit are 9 ( the largest possible value), the sum will be smaller than than 10999 or equal to the 10998.

Similarly the value of T must be 0 because, even if we assume all the missing digit are 9 ( the largest possible value), the sum will be smaller than than 10999 or equal to the 10998.

Now as the T is two times in the solution of addition, and the value of T is 0 as we found. But T is the addition of N and N. Hence N must be 5 to make the addition 10 for the 0 value of the T.

                N

            +  N

            ____

              1 0

            ____

J must be 9 with carried 1 to make the T 0.

A must be more than 10 to have a carry on J. A can not 1 as S has 1 digit. 2 and 3 disturbs the equation. Thus a must be 4. and for this o and c must be 6 and 7.

If a is 4 than the H and R must be 8 and 3.

The sum will look like,

  9  6  8  5

 +   7  4  5

________

1  0  4  3  0

_________

Hence, solved the given question by addition rules and the value of START is 10430.

For more about the addition follow the link below-

https://brainly.com/question/1709448

23 POINTS AND WILL GIVE BRAINLIEST

23 POINTS AND WILL GIVE BRAINLIEST

Answers

(Answer:

i think it's m<QPR:62˚ ,but is it asking for degress and the "z"?

Answer:

25

Step-by-step explanation:

Since RPS and QPR is equal to QPS, that means that (9x+16)+(8x+7)=40. This gives 17x+23=40, or 17x=17. This means that x=1. So, QPR is 9x+16, or 9+16 (Since x is 1). This means that QPR is 25.

Please help me answer.

Please help me answer.

Answers

Answer: First blank is 15 then 28 then 25 in the last blank.

Step-by-step explanation:

On the left side column it is going up by 5 and the right column is going up by 7.

For the first column it will go 5,10,15,20,25
And second column is 7,14,21,28,35

I=PRT

Courtney borrowed $7,500 for 4 years at an annual interest rate of 8%.

Part A: How much interest will she pay on the loan?



Part B: What is the total balance after the 4 years?

Answers

Answer: $7,500

Step-by-step explanation:

8/100 x $7,500

= $600

so we will take and add with original price

$600 + $7,5080

= $8,700

7500 because
8/100•7500=600

HELP WILL MARK BRAINLYEST !

HELP WILL MARK BRAINLYEST !

Answers

Answer:

No, it only will cover 9.1 acres

Step-by-step explanation:

This is a pretty easy question but I am confused. 6th grade math.
I will give brainliest to right answer!

This is a pretty easy question but I am confused. 6th grade math.I will give brainliest to right answer!

Answers

Answer:

2 and 2/5

Step-by-step explanation:

have a great day :D

Answer: 2 2/5

Use a calculator and divide 4/5 from 1/3

Hope that helps :)
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