If -9x(x + A) + 2 = (Bx + 2)(3x - 1) + 4, find the constants A and B.I am stuck at the step of solving B,can you help me?write down you steps and answer please​

Answers

Answer 1

Answer:

A = -1

B = -3

Step-by-step explanation:

you need to do all the multiplication on both sides and then simply compare the factors of the various powers of x.

so,

-9x² - 9×A×x + 2 = 3×B×x² + 6x -Bx - 2 + 4

-9x² - 9×A×x + 2 = 3×B×x² + (6-B)x + 2

the x-less constants 2 = 2 are correct. now we need to compare the factors for the other parts of x.

we have left and right only one expression of x²

-9x² on the left

3×B×x² on the right

therefore,

-9 = 3×B

=> B = -3

otherwise the equation would not be correct for all values of x.

the only other parts remaining are

-9×A×x = (6-B)x = (6 - -3)x = (6+3)x = 9x

=>

-9×A = 9

-A = 1

A = -1

remember, all parts of the left and of the right side must be equal for the equation to be true in all cases.


Related Questions


Need help please with end behavior!

Answers

I'll focus on problem 2.

For these types of problems, I recommend graphing the functions to see how the end behavior looks.

The graph of y = x^2 has a parabola where both endpoints aim upward. So each end goes to positive infinity (regardless if x is going to positive or negative infinity).

In short, the graph rises to the left and it rises to the right.

Increasing the leading coefficient will not change this fact. We can pick any leading coefficient we want and the end behavior will stay the same. All that matters is the leading coefficient is positive.

If the leading coefficient becomes negative, then everything flips: the endpoints will aim down. The other terms we add on (such as a 3x+3) will not change the end behavior. The leading term, with the largest exponent, is what directly and solely determines the end behavior.

The graph is shown below. I used GeoGebra to make the graph. Desmos is another handy tool you could use.

Find the value of x.
68°
110°
135°

Answers

Answer:

47

Step-by-step explanation:

Answer:

hi, the answer is 47°

Step-by-step explanation:

68+135+110=313 360-313=47

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2. (a) What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2

Answers

Answer:

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.

This means that [tex]\mu = 14, \sigma = 2[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex]

What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2?

This is 1 subtracted by the p-value of Z when X = 14.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{14.2 - 14}{0.2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

At a little known vacation spot taxi fares are a bargain. A 49 mile taxi ride takes 56 minutes and cost $39.20. You want to find the cost of a 34 mile taxi ride

Answers

And 49 mile costs $39.20
So 1 mile costs $0.80
$0.8 x 34 = $27.20

Anempt 1012
Find the mean for the given set of data.
-4,-3,-1,-1, 0,1

Answers

Answer:

-1 1/3

Step-by-step explanation:

To find the mean, add up all the numbers

(-4+-3+-1+-1+0+1) =

-8

Then divide by the number of terms

-8/6

-4/3

-1  1/3

Answer A is your answer

Step-by-step explanation:

If i Bahraini dinar = £2.13, convert 4000 dinar to pounds. show your working.

Answers

The answer is 8520 pounds and I wrote the solution here , I hope that helps you and best of wishes!!

Answer:

£8520

Step-by-step explanation:

1 Bahraini dinar = £2.13

Multiply both sides of the equation by 4000.

4000 * 1 Bahraini dinar = 4000 * £2.13

4000 Bahraini dinar = £8520

find the area of irregular figures

Answers

Answer:

I believe it is 90

Step-by-step explanation:

I'm not so sure but when finding the area of a shape you times all those lengths together.

Answer: There is NO answer because there is some missing information!

Step-by-step explanation:

i need help with this question on my homework

Answers

Answer:

the angle would be 64°

Step-by-step explanation:

since the other angle is already 296° having the other angle would add to complete the 360 degrees of the circle

Answer:

Step-by-step explanation:

64 because you subtract 360 by 296

PLEASE HELP ASAP!! The graph of the equation y = 3x + 1 is shown below.

Answers

9514 1404 393

Answer:

  A.  y = 3^-x +1

Step-by-step explanation:

Reflection across the y-axis replaces x with -x. The reflected curve is described by ...

  y = 3^-x +1 . . . . matches choice A

A gas pump measures volume of gas to the nearest 0.01 gallon. Which measurement shows an appropriate level of precision for the pump?

Answers

Answer:

12.3 Gallons

Step-by-step explanation:

Options of the question:-

Option A. 12.33 gallons

Option B. 10 gallons

Option C. 12 gallons

Option D. 12.3 gallons

Option D is the answer :-

As the least count or zero error is 0.1 so it can measure only upto one decimal place so answer will be 12.3

Can some one help me with this math question?

Answers

Answer:

I'm pretty sure it would be base x height divided by 2 so 20×6÷2

Mr Tay had 265 m of wire.
He cut the wire into 4 equal pieces with 25 m left over.
What was the length of each equal piece of wire?

Answers

Answer:6

Step-by-step explanation:

265-25

240/4

6

Answer:

60

Step-by-step explanai  o

n:

265 -25=  240

240/4=6 0

Suppose x and y are sets such that XuB=(-8,-4,-2,0,2,4,6,8), XnY =(-2,0,2) and X/Y =(-8,8) on this basis which of the following is not true

Answers

Answer:

I need points

Step-by-step explanation:

Consider a maximization linear programming problem with extreme points xi, x2, Xz. and x4. and extreme directions d1,. d2, and dz. and with an objective function gradient e such that cx1 =4, cx2 = 6, cx3= 6, cx4=3, cd1= 0, cd2=0, and cd3=2. Characterize the set of alternative optimal solutions to this problem.

Answers

Answer:

Set of alternative optimal solution : 0 ≤ z ≤ 1.5

Hence There will be an infinite set of Alternative optimal solution

Step-by-step explanation:

considering Cx1 = 4

∴ C = 4 / x1

Cx2 = 6

∴ 4x2 - 6x1  = 0

2x2 - 3x1 = 0 ------ ( 1 )

considering Cx3 = 6

C = 6/x3

Cx4 = 3

∴ (6/x3) x4 - 3 = 0

= 2x4 - x3 = 0 ---- ( 2 )

attached below is the remaining part of the solution

set of alternative optimal solution : 0 ≤ z ≤ 1.5

There will be an infinite set of Alternative optimal solution

Can I get the awnsers for these two? Any help is appreciated.

Answers

Answer:

y = 4x - 5

Step-by-step explanation:

for slope intercept form

y = mx + c

where m is the slop so

M = 4

point = (1, -1)

a point on the line must satisfy the equation so replacing y and x by -1 and 1 respectively to get to c.

-1 = 4 × 1 + c

-1 - 4 = c

-5 = c

placing these values in y = mx + c

y = 4x - 5

Answer:

y = 4x - 5.

Step-by-step explanation:

First write it in point-slope form:

y - y1 = m(x - x1)

y - (-1) = 4(x - 1)

y + 1 = 4x - 4

y = 4x - 4 - 1

y = 4x - 5.  <------- Slope-intercept.

DO,-2(x, y)(3, 5).
The point (x, y) is

(1, 3)
(-3/2, -5/2)
(-6, -10)

Answers

(1,3) ez la respuesta

Question 10 (1 point)
After a certain drug is injected into a patent, the concentration C of the drug in the
bloodstream is monitored. At time t > 0 (in minutes since the injection) the
concentration (in mg/L) is given by
5
30t
c(t)
t2 + 2
9
What will the concentration of the drug eventually be in the bloodstream? Do not
enter any units with your answer.

Answers

Answer:

From the values obtained, we can see that after the initial 10mg/L values obtained in the first 1 and 2 minutes, the concentration has been dipping and it will continue to do so.

Step-by-step explanation:

The concentration monitored ar time, t > 0 is represented by :

C(t) = 30t / (t² + 2.)

At, t = 1

C(1) = 30(1) / (1 + 2) = 30/3 = 10

At t = 2

C(2) = 30(2) / (2² + 2) = 60/(4+2) = 60/6 = 10

At t = 3

C(3) = 30(3) / (3² + 2) = 90/ 11 = 8.18

At t = 4

C(4) = 30(4) / (4²+2) = 120/18 = 6.67

At t = 5

C(5) = 30(5) / (5²+2) = 150/ 27 = 5.55

At t = 10

C(10) = 30(10) / (10²+2) = 300/102 = 2.94

From the values obtained, we can see that after the initial 10mg/L values obtained in the first 1 and 2 minutes, the concentration has been dipping and it will continue to do so.

If "u" varies directly with "v," and u = 6
when v = -7, what is "u" when v = 4

Answers

9514 1404 393

Answer:

  u = -3 3/7

Step-by-step explanation:

The new value of v is 4/-7 = -4/7 of the old value. Because u varies directly, its new value will also be -4/7 of the old value.

  u = -4/7(6) = -24/7

  u = -3 3/7

PLEASE HELP ME WILL MARK YOJ THIS IS PT.2 TO MY QUESTION BEFLRE

Answers

Step-by-step explanation:

simplify

8 add (12 subtract 5)

Step-by-step explanation:

13) Second angle (side shared)

14) Second side (one side shared)

15) Second side (angles where they meet are equal)

16) Second angle (one angle equal cause of a rule)

17) Third side

18) Second side

Instant Dinner comes in packages with weights that are normally distributed, with a standard deviation of 0.5 oz. If 2.3% of the dinners weigh more than 13.2 oz, what is the mean weight?

Answers

Answer:

12.2

Step-by-step explanation:

2.3%= 0.023

So that is the probability that it will be over 13.2 oz, or .977 is the prob that it will be below 13.2

z-score = (real score - mean)/standard deviation

I found .977 at a z-score of 2.00

so 2.00 = (13.2-m)/0.5

=> m=12.2

Rewrite the given equation in logarithmic form. Then, select all of the equations with an equivalent solution.
8e^x - 5 = 0

Answers

Answer:

ans: ln (5/8) , ln5 - ln8

Step-by-step explanation:

8e^x -5 = 0

e^x = 5/8

x = ln (5/8)

x = ln5 - ln8

Shawna reduced the size of a rectangle to a

height of 2 in. What is the new width if it

was originally 24 in wide and 12 in tall?​

Answers

Answer: 10 in

Step-by-step explanation:

How many different committees can be formed from 6 teachers and 37 students if the committee consists of 4 teachers and 4 ​students?

The committee of 8 members can be selected in
BLANK different ways.

Answers

Answer:

The committee of 8 members can be selected in 990,675 different ways.

Step-by-step explanation:

The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

4 teachers from a set of 6.

4 students from a set of 37.

Then

[tex]T = C_{6,4}C_{37,4} = \frac{6!}{4!2!} \times \frac{37!}{4!33!} = 990675[/tex]

The committee of 8 members can be selected in 990,675 different ways.

A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area. 4.5 in 6 in 16 in 7.5 in

Answers

Answer:

315 in²

Step-by-step explanation:

the surface area is the sum of the areas of all the individual shapes in the surface.

so, we have the 2 triangular bases and 3 rectangles as is sides.

the area of a rectangular triangle is a×b/2

we need them twice, so that is then a×b

a=4.5

b=6

a×b = 27 in²

one rectangle is 16×7.5 = 120 in²

one rectangle is 16×6 = 96 in²

one rectangle is 16×4.5 = 72 in²

total surface area is therefore

A = 27+120+96+72 = 315 in²

Two expressions of the equation

Answers

Step-by-step explanation:

let the expression of the equation be :

x+y=0

x²+y²= 5

hope it is helpful to you

3x + 1 over 4y2

What is the value of the expression above when x = 3 and y = 4? You must show all work and calculations to receive full credit.

Answers

Answer: Pretty sure its the value of the expression is 11

Step-by-step explanation:

Step 1. Add and evaluate 4x and 1/3y^2

Step 2. After evaluating, add 4(2) and 1/3 (3)^2

Step 3. 8 + 1/3(9)

Step 4. 8 + 3 = 11

Step 5. Value of Expression = 11

Answer:

13

Step-by-step explanation:

The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.

A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).

Which statement is true?

It took Michelle 6 hours to complete the trip.
For each hour that Michelle drove, she traveled an additional 50 miles.
In the first 6 hours, Michelle had traveled a total of 50 miles.
In the first 3 hours, Michelle had traveled a total of 200 mile\

Answers

Answer:

(b) For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,350)[/tex] ---- start

[tex](x_2,y_2) = (7,0)[/tex] --- end

Required

Which is true

(a): Journey = 6 hours

This is false, because:

[tex]x = x_2 - x_1[/tex]

[tex]x = 7-0[/tex]

[tex]x = 7[/tex] ---- 7 hours

(b): The average rate is 50 miles per hour

To do this, we calculate the slope (m) using:

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

[tex]m = \frac{0 - 350}{7-0}[/tex]

[tex]m = -\frac{350}{7}[/tex]

[tex]m = -50[/tex]

This means that the rate is 50 miles driven in 1 hour.

(b) is correct

Others are incorrect

Answer:

B

Step-by-step explanation:

I did it


Malachy rolls a fair dice 720 times.
How many times would Malachy expect to roll a five?​

Answers

Answer:

120 times

Step-by-step explanation:

On a dice, there are 6 sides.

Since one of these sides is a 5, the chance of rolling a five is 1/6.

Find how many times Malachy can expect to roll a five by multiplying 720 by 1/6:

720(1/6)

= 120

So, Malachy can expect to roll a five 120 times

Tania is buying a guitar. Guitar Central has 20% off coupons available, and has the guitar Tania wants for $349. Music Mart has the guitar Tania wants for $419, but is offering a $200 rebate. Which is the better deal? _________________________________________________________________________________________

Answers

Answer:

Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.

Step-by-step explanation:

Since Tania is buying a guitar, and Guitar Central has 20% off coupons available, and has the guitar Tania wants for $ 349, while Music Mart has the guitar Tania wants for $ 419, but is offering a $ 200 rebate, to determine which is the better deal the following calculations must be performed:

Guitar Central

100 - 20 = 80

349 x 0.8 = X

279.20 = X

Music mart

419 - 200 = X

219 = X

Therefore, Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.

Please help ASAP!!!

Answers

Answer:

C.

Step-by-step explanation:

When you replace x with x - h, the graph shifts h units horizontally.

Here, x is replaced by x - 12.

Compare x - 12 to x - h.

h = 12

The graph shifts 12 units to the right.

Answer:

answer maybe A..not sure but it might be in my opinion..

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