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.
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?
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.
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.
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]
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
increasing
Step-by-step explanation:
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?
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.
your savings account pays 2.5% interest per year. How much interest does the account pay per month
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
Rewrite exponential expressions
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
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.
Answer:
C. c. c.c.c.cc.c.c.
Step-by-step explanation:
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!
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
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.
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
Complete the congruence statement.
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
Anyone with the answer to this question today?
Alaina wants to decide whether her current cell phone plan is better than the package that another company offers
Answer:
Step-by-step explanation:
look for another phone company then
To run 12 miles, how many times must you run around a park that is 2 miles long and 1 mile wide?
Minimon común numtiplo de 4800 1350 y 2646
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
which expression is equivalent to (7x^3)^2 (x^8)^1/2
Answer:
Step-by-step explanation:
ANSWER THIS ASAP NO FILE AT ATT!! IM AT 69 I NEED A 70 JUST GET IT RIGHT
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.
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)
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~
An electric car traveled a record of 321.8 miles in one hour. At this rate, how far would it travel in 15 minutes?
Answer:
80.45 miles
Step-by-step explanation:
Divide and multiply
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)
Answer:
50 pounds
Step-by-step explanation:
pls help me
Which of the following is not a solid figure?
A.cube
B.cylinder
C.prism
D.rectangle
Answer:
c.prism is not solid figure
Answer:
rectangle
Step-by-step explanation:
rectangle isn't a solid figure
Please i need help I will heart whoever answers. Thx
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
Hey I need some help with this
Answer:
with what plz explain the question
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
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
What is the slope of the following graph?
amy runs 2 miles in 30 minutes how long will it take her to run 7 miles at this rate
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.
using a positive and negative integer, write an addition expression that equals -9
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
Round to the nearest whole dollar: $9.49
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.
Your IPod has 3 hours of battery remalning. If it has 15 hours when fully charged, what percent charged is it right now?
Answer:
60%
Step-by-step explanation:
5 hours - 100%
1 hour - 100/5 = 20%
3 hours - 20 x 3 = 60%
The slope of the line that passes through the point (-2, -4) and (-3, -8) is ______
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
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
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 .