Given

f(x) = 2x - 1 and g(x) = 4x + 6,
which operation completes the statement?

f(x) ___ g(x) = 8x^2 + 8x - 6

i need to determine what math sign i have to use on the ____ the options are *,+,-, and the divide symbol


this is operations on functions!!!

Answers

Answer 1
Answer: Multiplication sign

f(x) times g(x) = 8x^2+8x-6

(2x-1) times (4x+6) = 8x^2+8x-6

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

Explanation:

The functions f(x) and g(x) are linear functions. The result of f(x) ___ g(x) is some quadratic function.

It's very likely that the answer is a multiplication sign because of the general template of

(linear)*(linear) = (quadratic)

For example, x*3x = 3x^2.

Let's see if the two functions multiply out to 8x^2+8x-6 or not.

-----------------------

f(x) * g(x) = ( f(x) ) * ( g(x) )

f(x) * g(x) = ( 2x-1 ) * ( 4x+6 )

f(x) * g(x) = y * ( 4x+6 ) ......... let y = 2x-1

f(x) * g(x) = 4xy + 6y   ......... distribute

f(x) * g(x) = 4x( y ) + 6( y )

f(x) * g(x) = 4x( 2x-1 ) + 6( 2x-1 ) .... replace y with 2x-1

f(x) * g(x) = 8x^2-4x  + 12x-6  .... distribute twice more

f(x) * g(x) = 8x^2+8x-6

We end up getting the correct result. So this confirms that a multiplication sign is needed to fill in the blank.


Related Questions

Complete the congruence statement.

Answers

Answer:

∠K ≅ ∠N

Step-by-step explanation:

Since you are given ΔJKL ≅ ΔMNO, you can say the corresponding angles are congruent:

∠J ≅ ∠M

∠K ≅ ∠N

∠L ≅ ∠O

So, the answer is ∠N

Hey I need some help with this

Answers

Answer:

with what plz explain the question

We have two urns. Urn 1 has 2 red balls and 3 yellow balls, while Urn 2 has 3 red balls and 7 yellow balls. We randomly select 75 balls form Urn 1, sampling with replacement. We independently randomly select 100 balls from Urn 2, sampling with replacement. Find the variance of the random variable defined as the number of red balls obtained from Urn 2 less the number of red balls obtained from Urn 1.

Answers

Answer:

[tex]\sigma (y_1-y_2)=39[/tex]

Step-by-step explanation:

From the question we are told that:

Urn 1 :2 Red, 3 Yellow

Urn 2:3 Red, 7 Yellow

Sample 1 [tex]n_1=75\ balls[/tex]

Sample 2 [tex]n_2=100\ balls[/tex]

Generally the Probability of Red ball drawn is mathematically given by

For Urn 1

[tex]P(R)_1=\frac{2}{5}[/tex]

[tex]P(R)_1=0.4[/tex]

For Urn 2

[tex]P(R)_1=\frac{3}{10}[/tex]

[tex]P(R)_1=0.3[/tex]

Generally the equation for Variance of two independent variables [tex]\sigma (y_1-y_2)[/tex] is mathematically given by

 [tex]\sigma (y_1-y_2)=\sigma y_2 +(-1)^2 \sigma(x_1)[/tex]

    Where red balls drawn from both Urn is Modeled

    [tex]Urn_1\ is\ Modeled\ as (n_1=75,p_1=0.4)[/tex]

   [tex]Urn_2\ is\ Modeled\ as\ (n_2=100,p_2=0.3)[/tex]

 [tex]\sigma (y_1-y_2)=n_2 p_2(1_p_2)+n_1*p_1(1-p_1)[/tex]

 [tex]\sigma (y_1-y_2)=100*0.3(1-0.3)+75*0.4(1-0.4)[/tex]

 [tex]\sigma (y_1-y_2)=39[/tex]

Therefore the variance of the random variable defined as the number of red balls is

 [tex]\sigma (y_1-y_2)=39[/tex]

A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long, 7.5 meters wide, and 5.6 meters high. What is the volume, round to the nearest cubic meter, of the aquarium?
A. 280
B. 623
C. 1288
D. 962

Answers

Answer:

1288 c m 3

Step-by-step explanation:

To work out volume, you just do the simple calculation of height x width x length. So what we need to do here is 6 x 7.5 x 22.9 =  

1212.5 c m 3  .

The decimal is a 5 so that is rounded up to give the nearest meter hence the answer to the question is  

1288 c m 3  .

Anyone with the answer to this question today?

Answers

The answer is A, I know because I took it

The deterioration of many municipal pipeline networks across the country is a growing concern. One technology proposed for pipeline rehabilitation uses a flexible liner threaded through existing pipe.
The article "Effect of Welding on a High-Density Polyethylene Liner" (J. of Materials in Civil Engr., 1996: 94-100) reported the following data on tensile strength (psi) of liner specimens when a certain fusion process was used and when this process was not used.
No Fusion :: 2748 2700 2655 2822 2511 3149 3257 3213 3220 2753
Yes Fusion :: 3027 3356 3359 3297 3125 2910 2889 2902
Compare the mean tensile strengths at the 95% confidence level ...
Perform a COMPLETE APPROPRIATE analysis.
Answer the question of interest, check assumptions, etc.

Answers

Answer:

The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level

Step-by-step explanation:

The given data is

No Fusion :: 2748 2700 2655 2822 2511 3149 3257 3213 3220 2753

Yes Fusion :: 3027 3356 3359 3297 3125 2910 2889 2902

The calculated Means are

x1`= 2902.8

X2`= 3108.125

The standard deviations are

s1= 277.265

s2= 205.87

We are using Student's t- test

We formulate null and alternate hypotheses are

H0 : u1 - u2= 0 against Ha: u1 - u 2≠0

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t  ≥ t (0.025, 16) = ± 2.120

Degrees of freedom is calculated df = υ= n1+n2- 2= 10+8-2= 16

Here the difference between the sample means is x`1- x`2

=2902.8-3108.125

= -205.325

The pooled estimate for the common variance σ² is

Sp² = (n1-1) s1² + (n2-1) s2²/ n1+n2-2

=  9( 277.265)² + 7(3108.125)²/ 16

Sp² = 691,882.922+67,623,087.109/16

Sp= 2066.321

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t= -205.325/ 2066.321 √1/10+ 1/8

t= -205.325/980.142

t= -0.2095= -0.21

Conclusion

The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level

Minimon común numtiplo de 4800 1350 y 2646

Answers

Answer:

LCM of (4800, 1350, 2646) = 2116800

Step-by-step explanation:

Factorización prima de los números:

4800 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5

1350 = 2 × 3 × 3 × 3 × 5 × 5

2646 = 2 × 3 × 3 × 3 × 7 × 7

MCM (4800, 1350, 2646)

2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7

2116800

MCM de (4800, 1350, 2646) = 2116800

When Bunny and Walter came home from practice, there was a note from their mother sitting on top of a pizza box. “Had to run to a meeting. You two can share the rest of the pizza for dinner. Love ya!” When they opened the box, they saw that exactly one-fourth of the pizza was gone. If Bunny and Walter split what was left evenly, how much of the pizza will each get?

Answers

9514 1404 393

Answer:

  3/8 pizza

Step-by-step explanation:

If 1/4 of the 4/4 of the pizza was gone, 3/4 remained. When that is split in half, each half is (3/4)(1/2) = 3/8 of the pizza.

Each gets 3/8 of the pizza.

Use I = PRT to find the total amount in the savings account. Type in "money fo $1555.00 at 8% for 2 years
IF YOU ANWSER IM GIVING YOU 50 POINTS!​

Answers

Step-by-step explanation:

use an interest calculator it is going to be much easier

I believe its $6986.25

https://www.bankrate.com/calculators/savings/simple-savings-calculator.aspx

Cherri filled out a deposit slip today. She deposited two checks for $56.13 and $22.10 and took out $20 in cash.
What was her net deposit?

Answers

Answer:

$58.23

Step-by-step explanation:

Let's say y is her net deposit. The equation you would want to use is y = 56.13 + 22.10 - 20.

To run 12 miles, how many times must you run around a park that is 2 miles long and 1 mile wide?

Answers

pretty sure it’s 6 miles

Alaina wants to decide whether her current cell phone plan is better than the package that another company offers

Answers

Answer:

Step-by-step explanation:

look for another phone company then

What is the slope of the following graph?

Answers

I dont know if this helps since no one else is answering I’d like to help
To find slope.. the M in the slope formula of y=Mx+b represents slope

So as long as you know what point on the graph represents what then it should be easy

In most cases.. finding slope is where the line meets on the x axis


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

Answer:

increasing

Step-by-step explanation:

If y varies jointly as x and z and y = 12 when x = -2 and z=3, find y when x is 4 and z is -1

A. 6
B. 9
C. 4
D. 8​

Answers

Answer:

D. 8

Step-by-step explanation:

y varies jointly as x and z

y = k(xz)

-------------------------

Find k, the constant of variation

y = 12 when x = -2 and z=3

12 = k(-2 * 3)

12 = k(-6)

k = -2

-------------------------

find y when x is 4 and z is -1

using k = -2

y = -2(4 * -1)

y = -2(-4)

y = 8

Elijah has
2
1
2
2
2
1

bags of candy. A bag of candy weighs
5
5 pounds. How many pounds of candy does Elijah have?


pounds of candy.1 in3 (3 is above inches)

Answers

Answer: (50 pounds of candy) She has 10 bags of candy if each bag is 5 pounds it’s 5•10 and that’s 50

Answer:

50 pounds

Step-by-step explanation:

which expression is equivalent to (7x^3)^2 (x^8)^1/2​

Answers

Answer:

Step-by-step explanation:

Your IPod has 3 hours of battery remalning. If it has 15 hours when fully charged, what percent charged is it right now?

Answers

Answer:

60%

Step-by-step explanation:

5 hours - 100%

1 hour - 100/5 = 20%

3 hours - 20 x 3 = 60%

Which statements are true?
Select each correct answer.
A. All triangles have 3 straight sides.
B. Only some triangles are polygons.
C. All triangles are plane figures.
D. All triangles have 3 angles.
E. All triangles have one right angle.

Answers

Answer:

C. c. c.c.c.cc.c.c.

Step-by-step explanation:


The slope of the line that passes through the point (-2, -4) and (-3, -8) is ______

Answers

Answer:

4

Step-by-step explanation:

We know ,

Slope = difference of y co ordinate / difference of x coordinate

=> m = -8+4/-3+2

=> m = -4/-1

=> m = 4

The correct answer is -4

Round to the nearest whole dollar: $9.49

Answers

Answer: $9

Step-by-step explanation:  Rounding $9.49 to the nearest dollar consider the tenths’ value of $9.49. Which is 4 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of $9.49, $9, remains $9, and the decimal point and all digits (.49) are removed.

An electric car traveled a record of 321.8 miles in one hour. At this rate, how far would it travel in 15 minutes?

Answers

Answer:

80.45 miles

Step-by-step explanation:

Divide and multiply

your savings account pays 2.5% interest per year. How much interest does the account pay per month

Answers

Answer:

0.209 x 12 is that answer but their really is no answer because i have tried about every way i can think of to get the answer so yeah sorry

Step-by-step explanation:

brainliest pls

BRAINLIST + 100 POINTS

2) Employees were asked how many times per week they exercised. The frequency table shows the results of the survey
Number of times exercised: 0,1,2,3,4,5,6,7,8
Frequency: 7,10,5,13,32,16,15,8,4
(a) Create a probability distribution table from the frequency table. Round probabilities to the nearest hundredth.
FIND
(b) P(x≥5)
(c) P(x=7)
(d) P(x<4)

Answers

Answer:

Heyaa!! My name is Pinky and im here to tell you that the answer is..

Step-by-step explanation:

!!(b)  P( x < 4)  =     ( 5 + 10 + 2 + 9 )  / ( 5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1 ) =  13/45!!

!!(c)  P(x  = 6)  =  15 / (5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1)  =  1/6!!

!!(d) P( x ≥ 5 ) =  (12+ 15 + 3 + 1) /  (5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1) =  7/30!!

Have and Amazing Day now!!

                                                  ~Pinky~

amy runs 2 miles in 30 minutes how long will it take her to run 7 miles at this rate

Answers

One hour and 45 minutes

Answer:

1 hour 45 minutes

Step-by-step explanation:

Time taken to cover a distance of 2 miles = 30 minutes.

Time required to cover 1 mile = 30/2 = 15 minutes.

Time required to cover 7 miles = 15×7

= 105 minutes or 1 hour and 45 minutes.

Please i need help I will heart whoever answers. Thx

Answers

Answer:

c.25-c/4

Step-by-step explanation:

because all the other expressions are suggesting another equation they said Emma made 25 cookies and gave her mom c so that will be 25-c and then she divided it between her four friends so therefore 25-c,c=the amount she gave her mom,it is unknown so 25-c =the amount remaining after she gave her mom divided by 4

The last option is the correct answer.

Explanation:

The first step is taking the Amount given to her mother away from the total. So subtracting 25-c. Then this need to be split amongst 4 friends or divided by 4. The last option is correct because it uses PEMDAS or the order of operations correctly.

pls help me

Which of the following is not a solid figure?
A.cube
B.cylinder
C.prism
D.rectangle​

Answers

Answer:

c.prism is not solid figure

Answer:

rectangle

Step-by-step explanation:

rectangle isn't a solid figure

Rewrite exponential expressions

Answers

Answer:

A = 48

Step-by-step explanation:

In this equation, we can factor out the expression [tex](\frac{1}{7} )^x[/tex]. If we do so, the expression becomes:

[tex](\frac{1}{7})^x((\frac{1}{7})^{-2} - 1)[/tex]

We can simplify to get:

[tex](\frac{1}{7} )^x(49 - 1)[/tex]

and get:

[tex]48*(\frac{1}{7})^x[/tex]

Therefore, A = 48

using a positive and negative integer, write an addition expression that equals -9​

Answers

Answer:

-13 + 4

Step-by-step explanation:

For the sum to be negative, the absolute value of the negative integer has to be 9 more than the positive integer. There are an infinite number of equations, but here is one:

-13 + 4

ANSWER THIS ASAP NO FILE AT ATT!! IM AT 69 I NEED A 70 JUST GET IT RIGHT

Answers

Answer:

A

Step-by-step explanation:

A shows a counterclockwise 90° rotation, so it is the correct answer.

B shows a reflection.

C shows a translation.

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