How many roots do the functions have in common?

f(x)=2x^2-4x-16

Please Help??

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the function f(x)=2x^2-4x-16

To know the amount of roots that the function have in common, we need to first factorize the expression as shown;

f(x)=2x^2-4x-16

f(x)=2x^2-8x-16

Let f(x) = 0

0 =2x^2-4x-16

2x^2-4x-16 = 0

Divide through by 2;

x^2-2x-8 = 0

x^2 - 4x + 2x - 8 = 0

x(x-4)+2(x-4) = 0

(x+2)(x-4) = 0

x = -2 and 4

Hence the roots of the function are -2 and 4. They did not have any common roots

Answer 2

Answer:

f and g share the same root(s).

Step-by-step explanation:


Related Questions

. Isabella buys a 1.75 litre carton of apple juice. What is the largest number of 200 millilitre glasses that she can have from the carton?

Answers

Answer:

The largest number of glasses of juice Isabella can have from the carton is 8.

Step-by-step explanation:

Ratios

Knowing the total capacity of the carton of apple juice Ct, and the capacity of each glass Co, we can calculate how many glasses can be taken from the carton by finding the ratio:

[tex]\displaystyle n=\frac{Ct}{Co}[/tex]

There are 1,000 milliliters in one liter, thus the carton has a capacity of

C t= 1.75*1,000 = 1,750 milliliters

Thus,

[tex]\displaystyle n=\frac{1,750}{200}[/tex]

n=8.75

Since we cannot have 8.75 glasses, we round to the previous integer, then:

The largest number of glasses of juice Isabella can have from the carton is 8.

A contractor wants to rent a wood chipper from Acme Rental for a day for $118 plus $11 per hour or from Bell Rental for a day for $128 plus $9 per hour. Find a cost function in dollars for using each rental firm. (Let x be the number of hours for which the wood chipper is rented.) Acme C(x)

Answers

Answer:

[tex]C(x) = 118 + 11 x[/tex] -- Acme

[tex]C(x) = 128 + 9 x[/tex] --- Bell

Step-by-step explanation:

Given

Acme:

[tex]Daily = 118[/tex]

[tex]Hourly = 11[/tex]

Bell:

[tex]Daily = 128[/tex]

[tex]Hourly = 9[/tex]

Required

Determine the cost function for both

The cost function can be determined using the following illustrations:

Daily Rate + Hourly Rate * Number of Hours

Represent the number of hours with x

So, we have:

For Acme:

[tex]C(x) = 118 + 11 * x[/tex]

[tex]C(x) = 118 + 11 x[/tex]

For Bell:

[tex]C(x) = 128 + 9 * x[/tex]

[tex]C(x) = 128 + 9 x[/tex]

Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

100

Step-by-step explanatio

I need help. Thanks!

Answers

Answer:

The answer is B

Step-by-step explanation:

it is in the middle, and in both triangles

Answer:

A. (A)

Step-by-step explanation:

The answer is A. A is the center of the dilation of the triangle


The ratio of the length to the width of a rectangular field is 3 to 2. If the field is 150 yards long, how wide is the field?

Answers

Answer:

The field is 100 yards wide.

Step-by-step explanation:

Given that the relationship between the length and width of the rectangular field is 3 to 2, and that said field is 150 yards long, the following calculation must be performed to determine its width:

((150/3) x 2) = X

50 x 2 = X

100 = X

Thus, the common largest divisor between both numbers is obtained, and the relationship from 3 to 2 is established based on said number. Therefore, the rectangular field is 100 yards wide by 150 yards long.

Sami's bank account earns 4% simple interest per year. If Sami deposits $500, how much simple interest will she earn in one year?

Answers

Answer:

$20 simple interest.

Step-by-step explanation:

The simple interest that Sami earns is 4% of her deposit since she is trying to find how much she will earn in one year (given that the interest rate is 4% per annum).  

[tex]\$500\times4\%=\$20[/tex]

∴ Sami earns $20 simple interest in one year.

Hope this helps :)

Answer:

Step-by-step explanation:

At a concession stand seven hotdogs And four hamburgers cost $15 . Four hotdogs and seven hamburgers cost $18 . Find the cost of one hotdog in the cost of one hamburger.

Answers

Answer:

so hamburgers would be 2$ a peice

hotdogs wll be 1$ a peice

Step-by-step explanation:

What is the image of Y(-4, 7) under the translation vector (3,-5) ?

Answers

Answer:

(-1, 2)

Step-by-step explanation:

(-4, 7) under translation (3,-5)

(-4+3, 7-5) so is (-1, 2)

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrre

Answers

Answer:

??

Step-by-step explanation:

How is the daily balance method different from compounding interest daily?


a. Unlike daily compound interest, the daily balance method only applies charges at the end of

the month.

b. The daily balance method rounds less frequently than daily compound interest.

C. The daily balance method checks your balance at the end of each day, but daily compound

interest checks at the beginning of each day.

d. It is not different. The two processes are the same.

Please select the best answer from the choices provided

Answers

Answer:

a on edge 2021

Step-by-step explanation:

We can see that the daily balance method is actually different from compounding interest daily in the following way: A. Unlike daily compound interest, the daily balance method only applies charges at the end of the month.

What is compound interest?

Compound interest is actually known as the addition of the interests to the principal. It is an accumulation of the interests gathered over a period of investment plus the principal sum.

Daily balance method refers to the daily interest that is calculated at the end of each day. It applies charges at the end of the month. This is why it is different from daily compound interest.

Learn more about compound interest on https://brainly.com/question/24924853

Which way shows one way you can decompose 15 to find 42 x 15?
A. О (42 + 10) (42 + 5)
B. O (42 + 10) + (42 + 5)
C.O (42 x 10) + (42 * 5)
D. O (42 x 1) + (42 x 5)

Answers

Answer:

42 * 10 + 42 * 5

which agrees with the third option (C) shown on the list of possible answers

Step-by-step explanation:

Notice that using distributive property we can write:

42 * 15 = 42 (10 + 5) = 42 * 10 + 42 * 5

which agrees with the third option (C) shown on the list of possible answers.

Team Crusty make pies at a pie-baking competition. They baked 28 pies in 8 hours. How many pies per hour did they bake

Answers

Answer:3.5 pies

Step-by-step explanation:

Team Crusty = 28 pies / 8 hours = 3.5 pies per hour.

Hope This Helped!

:D

5. This year's enrollment in Mesa School District is

6,000, which is 20 percent higher than last year's.

What was last year's enrollment in Mesa School

District?

Answers

Answer:

The enrollment last year was 5,000

Step-by-step explanation:

Here, we have the enrollment this year higher than what we have last year by 20%

So we want to know the enrollment last year

Let the enrollment last year be x

Mathematically, the enrollment this year will be;

x + 20% of x = 6,000

Thus;

x + (20/100 * x) = 6000

x + 0.2x = 6000

1.2x = 6,000

x = 6,000/1.2

x = 5,000

Someone help me please


Find the measure of 0.(to the nearest tenth)

Answers

Answer:

Y

Step-by-step explanation:

Yes

Please help I will brainliest!! Really urgent!!

and tell you me how you go it, not just the answer please!❤️

This is my last ques/ of the day

Answers

Answer:    [tex]\frac{5}{6}x-10[/tex]

==============================

Work Shown:

[tex]\left(\frac{1}{3}x-8\right)+\left(\frac{1}{2}x-2\right)\\\\\frac{1}{3}x-8+\frac{1}{2}x-2\\\\\left(\frac{1}{3}x+\frac{1}{2}x\right)+(-8-2)\\\\\left(\frac{1}{3}+\frac{1}{2}\right)x-10\\\\\left(\frac{2}{6}+\frac{3}{6}\right)x-10\\\\\frac{2+3}{6}x-10\\\\\frac{5}{6}x-10\\\\[/tex]

Answer:

[tex]\frac{5}{6}[/tex]x-10

Step-by-step explanation:

([tex]\frac{1}{3}[/tex]x-8)+([tex]\frac{1}{2}[/tex]x-2) = [tex]\frac{1}{3}[/tex]x-8+[tex]\frac{1}{2}[/tex]x-2

[tex]\frac{1}{3}[/tex]x-8+[tex]\frac{1}{2}[/tex]x-2 = [tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex]x-10

If you -8 then -2, you are subtracting 10 from the equation in total.

[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex]x-10 = [tex]\frac{2}{6}[/tex]x+[tex]\frac{3}{6}[/tex]x-10

To make the denominator the same, I will multiply the first fraction by 2 and the second fraction by 3 so that their denominators are 6.

[tex]\frac{2}{6}[/tex]x+[tex]\frac{3}{6}[/tex]x-10 = [tex]\frac{5}{6}[/tex]x-10

Once the denominators are the same, you can do the working for the numerators directly (2+3=5) and keep the denominator the same.

m and n are negative rational numbers. The product will be negative
TRUE or FALSE

Answers

Answer:

The product of two negative rational numbers can not be negative. Hence, the statement that 'the product will be negative' is FALSE.

Step-by-step explanation:

We know that a rational number is a number that can be written in the form p/q, where p and q are integers.

A negative rational number is a number that can be represented as -p/q or

(-1) p/q, where p and q are whole numbers.

It must be not that the product of two negative rational numbers would always be positive.

For example, let suppose m = -5 and n = -7 are two negative rational numbers.

Taking the product of  -5 and -7.

= (-5) × (-7)

= 35

Therefore, the product of two negative rational numbers can not be negative. Hence, the statement that 'the product will be negative' is FALSE.

3 sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sisters age. what is the age of the youngest child.

Answers

Step-by-step explanation:

Let n be the age of the youngest sister. Since the ages are consecutive odd integers, the next sister's age is n+2, and the oldest sister is n+4. the following equation represents the relationship between the girls' ages.

n + 3(n + 4) = 5(n + 2) - 5

n + 3n + 12 = 5n + 10 - 5

4n + 12 = 5n +5

-4n  -5      -4n -5

7 = n

so the sisters are 7, 9, and 11

The age of the youngest child 7 years.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Since, the ages are consecutive odd integers,

So, Let x be the age of the youngest sister.  

The next sister's age is x + 2,

And, the oldest sister is x + 4.

Hence, The following equation represents the relationship between the girls ages.

x + 3(x + 4) = 5(x + 2) - 5

x + 3x + 12 = 5x + 10 - 5

4x + 12 = 5x + 5

12 - 5 = 5x - 4x

x = 7

So, The age of the youngest child 7 years.

Learn more about the linear expression visit:

https://brainly.com/question/28061742

#SPJ2

Adeline buys 8 packs of Fun Gum. Each pack has 7 pieces of gum. Marisol buys Juicy Gum. Each Juicy Gum pack has 9 pieces of gum.Adeline has 11 more pieces of gum than Marisol. How many packs of gum did Marisol buy?

Answers

Answer:

The number of packs is 5.

Step-by-step explanation:

Let the number of juicy packs of gum bought by Marisol be represented by n.

Adeline bought 8 packs of Fun gum with each pack containing 7 pieces of gum.

Total number of gums has Adeline = 8 x 7

                                                          = 56

Total pieces of gum has Marisol = n x 9

                                                      = 9n

Given that Adeline has 11 more pieces of gum than Marisol, thus;

56 = 9n + 11

56 - 11 = 9n

45 = 9n

n = [tex]\frac{45}{9}[/tex]

n =  5

The number packs of juicy gum bought by Adeline is 5 and total pieces of his gum is 45.

Alex takes a multiple-choice quiz in his Anthropology 100 class. The quiz has 10 questions, each has 4 possible answers, only one of which is correct. Alex did not study for the quiz, so he guesses independently on every question. What is the probability that Alex answers exactly 2 questions correctly

Answers

Answer:

The probability is 0.28157

Step-by-step explanation:

The number of answers are 40 answers ( 10 questions and 4 answer each)

The number of correct answers is only 10

So the probability that he answers 2 exactly out of 10 means he correctly selected 2 answers

The probability will be;

10 C 2/ 40 C 10

This mean out of the total 10 correct, he selects 2 and out of the total 40 , he selects 10

The probability of selecting a correct answer is;

1/4 while the probability of selecting a wrong one is 3/4

So probability of selecting 2 correct out of a total 10 will be

10 C 2 (1/4)^2 (3/4)^8

= 0.28157

At a given time, the length, L, of the shadow of an object varies directly
as the height of the object, H. If the shadow is 27 ft when the height of
the object is 12 ft, what is the height of the object if the shadow is 18 ft?

Answers

Answer:

8 ft

Step-by-step explanation:

Use the direct variation equation, y = kx, where k is a constant.

Change the equation to fit the variables: L = kH

Plug in the given length of the shadow and the height of the object, then solve for k:

L = kH

27 = k(12)

2.25 = k

So, the equation is L = 2.25H

Then, plug in 18 as L, and solve for H:

L = 2.25H

18 = 2.25H

8 = H

So, when the shadow is 18 feet, the height of the object is 8 ft

Which trig ratios are equivalent to 10/26? Select all that apply. *

sin A
cos A
tan A
sin C
cos C
tan c

Answers

Answer:

cos A

sin C

Step-by-step explanation:

cos is adjacent/hypotenuse

adj of A is 10, hyp is 26 so = 10/26

sin is opposite/hypotenuse

opp of C is 10, hyp is 26 so = 10/26

Describe some main differences between an Euler graph and a tree graph.

Answers

Answer:

The Obvious

Euler graph all connects almost like a circle

A tree graph looks like it branches off each other with no line connect in a circle like form

I want a clear solution an explanation of how to solve this, please.

Answers

Answer:

the answer is (4,7).

Jason found a recipe for Spanish tacos. Each taco requires 2/5 cup of rice.Jason has 6 cups of rice how many tacos will he be able to make? Create a tape diagram to find the solution

Answers

Answer:

He will be able to make 15 tacos.

Step-by-step explanation:

Divide 2 by 5 to get 0.4, Then divide 6 by 0.4 to get 15.

Unfortunately, I cannot help you with the diagram.

A popular ride-sharing app charges an
initial booking fee plus $1.30 per mile. If a
14-mile ride costs $21.20, which equation
describes the situation?
th
1

Answers

Answer:B

Step-by-step explanation:

1.30×-14=-18.20

-18.20+21.20=3

16 1/9+ -4 2/3 help please??

Answers

Answer:

11 4/9

Step-by-step explanation:

ANDDD the answer is

The ratio of students to laptops in a school is 3:2. If there are 1200 students,how many laptops are there

Answers

1200/3=400
400x2=800
Answer=800 laptops

How many interior angles in this polygon

Answers

i believe it has 8 angles, each are 135 degrees
sorry if its wrong

Answer:

8

Step-by-step explanation:

I might be wrong

What is indicated by a positive value for a correlation? a. A much stronger relationship than if the correlation were negative b. A much weaker relationship than if the correlation were negative c. Increases in X tend to be accompanied by decreases in Y d. Increases in X tend to be accompanied by increases in Y

Answers

Answer: Increases in X tend to be accompanied by increases in Y

Step-by-step explanation:

The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.

When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.

2, 3, 5, 5, 8, 7, 11, __, __,__, 17,__, __, __

What is the pattern?

Answers

Answer:

9, 14, 11, 17, 13, 20, 15

Step-by-step explanation:

so it's kinda hard to explain but starting from 2, for every second number u add three (2,5,8,11,etc) and then starting from 3, for every second number you add two (3,5,7, etc)

that literally makes no sense aha

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