Write a quadratic equation in standard form with the given roots. Show your work to find the equation. -6, 5/2

Answers

Answer 1

Answer:

x^2 + 7/2 + 15 is the answer.

Step-by-step explanation:

Make the number that is equal to x be on the side of the x, then multiply those to values.

x = -6

x= 5/2

(x + 6)*(x - 5/2)

Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.

[tex]x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15[/tex]

#teamtrees #WAP (Water And Plant)


Related Questions

Find each number 60% of 45

Answers

Answer:

27

Step-by-step explanation:

[tex]60\%\ of\ 45\\=\frac{60}{100} *45\\=\frac{60}{20}*9\\=3*9\\=27[/tex]

An airline has two flights each day from City A to City B. A random sample of 10 morning flights left the gate an average of 15 minutes late with a standard deviation of 5 minutes. A random sample of 10 evening flights left the gate an average of 20 minutes late with a standard deviation of 3 minutes. Suppose both the morning and evening flights are 30 minutes late. To determine which flight is more late than usual, first find the z-scores. Round to one decimal place if necessary.

Answers

Answer:

Step-by-step explanation:

Let X denote the random variable that obeys the normal distribution.

Given that:

For morning flights

Mean [tex]\mu_1[/tex] = 15

standard deviation [tex]\sigma_1[/tex] = 5

Sample size [tex]n_1[/tex] = 10

[tex]X_1 \sim Normal ( \mu_1, \sigma _1)[/tex]

The Z - score is calculated as:

[tex]Z = \dfrac{x_1 - \mu_1}{\sigma_1}[/tex]

[tex]Z = \dfrac{30 -15}{5}[/tex]

[tex]Z = \dfrac{15}{5}[/tex]

Z = 3

For evening flights

Mean [tex]\mu_2[/tex] = 20

standard deviation [tex]\sigma_2[/tex] = 3

Sample size [tex]n_2[/tex] = 10

[tex]X_2 \sim Normal ( \mu_2, \sigma _2)[/tex]

[tex]Z = \dfrac{x_2 - \mu_2}{\sigma_2}[/tex]

[tex]Z = \dfrac{30 -20}{3}[/tex]

[tex]Z = \dfrac{10}{3}[/tex]

Z = 3.33

Hence, from the above z-scores, we will realize that the evening flight is more late than usual.

Yesterday the temperature was 11°C. Today it is -11°C. In degrees Celsius, what is the change in
temperature?

Answers

It went from positive to negative

HELP QUICKLY PLEASE!!
What are the coordinates of the endpoints of the midsegment for △JKL that is parallel to KL¯¯¯¯¯?

Enter your answers in the boxes

Answers

Answer:

Did you find the answer? I need help with this too

Step-by-step explanation:

Can someone help me with this question please ?

Answers

Answer:

16 i think

Step-by-step explanation:

Yeah I think maybe 16.

What is the slope of a line containing (4,6) and (0,8)?

Answers

Answer:

[tex]m=\frac{-1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, 6)

Point (0, 8)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{8-6}{0-4}[/tex]Subtract:                       [tex]m=\frac{2}{-4}[/tex]Simplify:                        [tex]m=\frac{-1}{2}[/tex]

Answer:

Slope is -1/2

Step-by-step explanation:

y2 - y1/x2 - x1

8 - 6/0 - 4

2/-4

-1/2

Clare cycled a total of 6.48 kilometers by making 4 trips to work. How many trips will Clare have to make to cycle a total of 8.1 kilometers?

Answers

Answer:

5 trips

Step-by-step explanation:

6.48 km = 4 trips

1 trip = 6.48km ÷ 4 trips

1.62km = 1trip

8.1 kilometers ÷ 1 trip = 8.1 kilometers ÷ 1.62km

8.1 kilometers = 5 trips

∴ 8.1kilometers covers 5 trips

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and
three loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework. Help
a. Write equations for both Khalil's and Ronda's purchases.
b. Solve the system to find the price of one can of soup and the price of one loaf of bread

Answers

Answer:

a) cblo

2)$3.44

Step-by-step explanation:

4 cans and 3 loaves=11.67

8 cans and 1 loaf= 12.89.

Set up equation:

x=cans

y=loaves

[tex]4x+3y=11.67\\8x+y=12.89[/tex] This is the answer for question A.

Multiply eq1 by 2:

[tex]8x+6y=23.34[/tex]

Subtract eq3 by eq2:

[tex]5y=10.45\\y=2.09[/tex]

Substitute:

[tex]8x+2.09=12.89\\8x=10.8\\x=1.35[/tex]

One can of soup and one loaf of bread=

[tex]1.35+2.09 or 3.44[/tex]

So:

[tex]$3.44[/tex]

Hope this helps :D Please hit the crown if u can !!

a. The equation should be

4x + 3y = $11.67

8x + y = $12.89

b. The price of one can of soup and the price of one loaf of bread is $1.355 and $2.09

The calculation is as follows:

here we assume the soup be x and bread be y

So, the equations are

4x + 3y = $11.67 .........(1)

8x + y = $12.89.........(2)

Here we need to multiply by 2 in equation 1

8x + 6x = $23.34

8x + y = $12.89

5y = $10.45

y = $2.09

Now x should be

8($2.09) + y = $12.89

x = $1.355

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Solve for g: 6 - 2g = 12

Answers

Answer:

g = -3

Step-by-step explanation:

subtract 6 on both sides

-2g = 6

divide by -2

g = -3

Answer:

G=-3

Step-by-step explanation:

I have used an online algebra calculator to check my answer against and I got the answer g= -3 both times so I am 100% positive that the answer is correct.

PLEASE MARK BRAINLIEST  

i will give brainliest 6th grade math

Answers

Answer:

A

Step-by-step explanation:

when you divide a fraction, you actually multiply by the reciprocal

Answer:

The correct answer is A, 4/5 x 5/4.

Step-by-step explanation:

I just remember to Keep Change Flip which means keep the first fraction exactly how it is, change the sign to a division sign, and flip the last fraction. So, go from 4/5 ÷ 4/5 = 4/5 x 5/4.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

Write a polynomial function that has the given zeros.
1/2, 1 , 5

Answers

Answer:

1

Step-by-step explanation:

x²-1²...it can be written as (x+1),(x-1)...surely you will get -1 and 1 as your zero

HELPPP
Solve the equation
log (2x-3)=2

Answers

Answer:

2.5 or 5/2

Step-by-step explanation:

2x-3=2

2x=5 (both sides plus 3)

x=5/2 or 2.5(divid by 2 on both sides)

3 5/8 to the nearest whole number

Answers

Answer:

4

Step-by-step explanation:

3 and 5/8 is closer to 4 then 3 easy

General admission tickets to the fair cost $5 per person. Ride passes cost an
additional $7.50 per person. Parking costs $16 for the family. The total costs for
ride passes and parking was $103.50. How many people in the family attended
the fair?

Answers

$103.50 - $16 = $87.5
total cost of admission and ride pass per person = $5 + $7.50 = $12.50

no. of people in the family = $87.50/$12.50
= 7

Can someone help me with this geometry proof?

Answers

Answer:

Step-by-step explanation:

IM LEARNING THIS TOO LOL

angle one and angle 2 are congruent because of the corresponding angles theorem

angles 2 and 3 are linear pair so 1 plus 2 equals 180

i believe you can use the transitive property


SUBSTITUTING INGREDIENTS

1. Your soup recipe calls for tdry mustard What can you substitute?
2. Your chocolate cake recipe calls for 2 ozunsweetened baking chocolate substitute ?What can you
3. Your muffin recipe calls for 2 c. self-rising flour. What can you substitute 3. Your meat sauce recipe calls for 2 T. fresh, chopped basil. What can you substitute?
4. Your cake recipe calls for 2 c. cake flour . What can you substitute ?

Answers

Answer:

1.      1 tablespoon Dijon mustard

2.     Combine six Tablespoons of cocoa powder and two Tablespoon of vegetable oil, butter or shortening

3.     2 cups of all-purpose flour, 3 teaspoons baking powder, and ½ teaspoon salt

3.      One teaspoon of dried basil leaves

4.      Combine 1 3/4 cups all-purpose flour with 1/4 cup cornstarch

Step-by-step explanation:

CAn I have brainliest? TYSMMMMMMMMMM

I AM BEING TIMED HELP!!!
What is one main objective in the study of economics?

recognizing the types of services available to everyone
recognizing the relationship between producers and consumers
recognizing the reasons why consumers supply services
recognizing the difference between producers and consumers

Answers

Answer:

C

Step-by-step explanation:

Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute. Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute. How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital

Answers

Answer:

750 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

1 cent = 0.01

Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute.

$39.95 + 0.01x

Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute.

$9.95 + 0.05x

How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital?

This is calculated as:

Beetle cellular = Salamander digital

$39.95 + 0.01x = $9.95 + 0.05x

Collect like terms

$39.95 - $9.95 = 0.05x - 0.01x

$30.00 = 0.04x

x = $30.00/0.04

x = 750 minutes

A person need to use 750 minutes a month for beetle cellular to cost the same as salamander digital.

PLEASE HELP!!
Cindi has $400 in her bank account. Each week she withdraws $15 for spending money. After how many weeks will her bank balance drop below $300?

Answers

I believe it is 27 weeks

Answer:

equation 400-15x. 7 weeks

Step-by-step explanation:

400-15x

A sculpting tool is in the shape of a solid triangular prism. The tool is made of 12 in.3 of metal and is 4 in. Long. What is the height of the base if it is 2 in. Wide?

Answers

Answer:

The height of the base if it is 2 in. Wide is 3 inches

Step-by-step explanation:

Volume of rectangular prism = [tex]\frac{1}{2} \times Length \times Base \times Height[/tex]

Volume of given rectangular prism = [tex]12 in^3[/tex]

Length of prism = 4 in

Base of prism = 2 in

Substitute the values in formula

So, [tex]12 = \frac{1}{2} \times 4 \times 2 \times Height[/tex]

[tex]\frac{12 \times 2}{4 \times 2}=Height[/tex]

3 = Height

Hence the height of the base if it is 2 in. Wide is 3 inches

Answer:

3 inches

Step-by-step explanation:

which part of this expression represents he total amount the friends pay for meal tickets

Answers

Answer:

whats the expression

Step-by-step explanation:

Answer:

d+2.5+d-4

Step-by-step explanation:

HELP NEEDED HELP! I SUCK at these

Answers

Answer:3:9

Step-by-step explanation: in this problem, it means "pears to apples". The "to" refers to the : . You put the amount of pears (3), then the "to" (:) then the amount of apples (9) to get your answer of 3:9. You can use this to help with other problems like this :D

the answer is 1:3. it would be 3:9 but u can simplify that to 1:3

Explain the difference between the slopes of x=1 and y=1, I need answers ASAP!!!!!

Answers

Answer:

Step-by-step explanation:

x=1 is a vertical line, that has an undefined slope, while y=1 is a horizontal line that always has a zero slope

given the graph g(x), find g(-6) ​

Answers

Answer:

+2

Step-by-step explanation:

Draw a vertical line through x = -6.  Determiene the corresponding y-value.  It is +2.  This is g(-6).

The value of the function g(x) when x = - 6, g(-6) is 2.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x).

Now, The value of the function g(-6) is the same as the value of the y-coordinate when the x-coordinate is - 6.

From the graph, we observe that when x = - 6, y = 2.

So, The value of g(-6) = 2.

learn more about functions here :

https://brainly.com/question/12431044

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the typicla size virus is about 0.000008 cm which can be written as 8*10n cm. what is n?

Answers

Answer:

[tex]10^{-6}[/tex]

Step-by-step explanation:

Start with 0000008.0

For each decimal place you move back, subtract the exponent (the n value of [tex]10^n[/tex]) by 1. In this case, we move back 6 places. This makes n = 6, giving us an answer of [tex]10^{-6}[/tex].

Answer: -6

Step-by-step explanation:

Anya walked 7/10 km to the bank and then walked 3/4 km to the flower shop. What is the total distance Anya walked? Show your work. Write your answer as a mixed number.

Answers

Answer:

1 and 9/20

Step-by-step explanation:

add your fractions together 7/10 + 3/4

make them have the same denom 14/20 + 15/20

so its 29/20

to get the mixed fraction, divide 29/20 to get 1.45. The 1 is your whole number. Subtract 20 from 29 to get 9, which is what is remaining, and will go over 20.

the answer is 1 and 9/20

work:

7/10km = 14/20km

3/4km = 15/20km

15/20+14/20=29/20km

29/20 as a mixed number is 1 and 9/20.

There are 7 girls and 13 boys in a class at a Private
School. Of these students, 5 girls and 3 boys are in
the Running club. What percentage of the students
at this Private School are in the Running club?

Answers

Answer:

40%

Step-by-step explanation:

Number of girls = 7

Number of boys = 13

Total students = 7 girls + 13 boys

= 20 students

Running club

Number of girls = 5

Number of boys = 3

Total students in the running club = 5 girls + 3 boys

= 8 students

percentage of the students that are in the Running club = Total students in the running club / Total students

× 100

= 8/20 × 100

= 0.4 × 100

= 40%

Percentage of the students

at this Private School are in the Running club is 40%

Please help!


Much appreciated if anyone would help x

Answers

A) 1/3
B) 1/9
HOPE THIS HELPS :)

Consider the system of inequalities and its graph.

y ≥

y ≤ x – 3



On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 8, negative 2) and (0, 0). Everything above the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (3, 0). Everything to the right of the line is shaded. The section in quadrant 1 is labeled 3, the section in quadrant 2 is labeled 2, the section in quadrant 3 is labeled 1, and the section in quadrant 4 is labeled 4.
In which section of the graph does the actual solution to the system lie?

1
2
3
4

Answers

Answer:

3

Step-by-step explanation:

Can somebody plz answer both questions! only if u done it before thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERSS:DD

Answers

Answer:

48% is A and since i like quarters more than nickels and dimes its c for 30

Step-by-step explanation: Because I said so.

Answer:

To calculate the average you must add the percentages up and divide by the number of percentages. So, 52+28+34+95+16+63=288/6=48. The percentage is 48%.

For the second questions you take 100 divide by 3 since there are 3 coins and you get an 33.3%. But, since you can't have 0.3 of a coin. So, since you started with a nickel, you would end with a nickel giving you a percentage of 34% and the dimes and quarters a percentage of 33% each.

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