g(x)=3x+2 and h(x)=ax+B
where a and b are constants
h(4)=22
g^-1(14)=h(1)
find the value of a and the value of b

G(x)=3x+2 And H(x)=ax+Bwhere A And B Are Constantsh(4)=22g^-1(14)=h(1)find The Value Of A And The Value

Answers

Answer 1

Answer:

a=6

b=-2

Step-by-step explanation:

You can use the hint provided on the mathswatch question page, I've attached it below

step 1

h(4) = ax+b = (ax4)+b = 4a+b

it is given in the question that h(4)=22, therefore 4a+b=22

step 2

work out the equation for inverse g

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

step 3

input 14 into the equation in place of x to find g^-1(x)

[tex]\frac{x-2}{3} =\frac{14-2}{3} =\frac{12}{3} =4[/tex]

so, g(x)^-1=4

step 4

find h(1):

h(1) = (ax1)+b = a+b

so, h(1)=a+b

step 5

a+b=4 (as it is given in the question that g^-1(14) is equal to h(1))

step 6

Now you have two simultaneous equations:

4a+b=22

a+b=4

then, solve for a:

4a+b=22

- a+b=4  

3a=18

a=6

then, input answer for a into either equation (I've gone with the a+b=4 equation):

6+b=4

-6   - 6

b=-2

(p.s i know this is very late but hope it helps someone)

G(x)=3x+2 And H(x)=ax+Bwhere A And B Are Constantsh(4)=22g^-1(14)=h(1)find The Value Of A And The Value

Related Questions

PLEASE PLEASE HELP!!

For problems 11 and 12, find the area of the figure. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:

11)

A= (B x H)/2

A= (2.9x3.2)/2= 4.64cm²

12)

A= (B+b)H /2

A= (12+10)5.6 /2 = 61.6in

Answer:

I think that the answer might be 9.30 for the first one and the second one I think is 670.

Step-by-step explanation:

To find the area, you have to multiply the height and width for the two figures.

3.2 × 2.9 = 9.28

12 × 10 × 5.6 = 672

I think you round those to the nearest tenth. 9.28 would be 9.30 and 672 would be 670. I hope this answers your question.

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Answers

Answer:

its 3/5 so you just add the numerator to the numerator and add the denominator to the denominator.

Answer:

7/6 is the answer

Step-by-step explanation:

=(1/2+2/3)

taking L.C.M

=     (3+4)/6

=7/6

Stevie can refinish a driveway in 4 hours. Ray can refinish the same driveway in 3 hours. Princess can refinish the same driveway in 2 hours. If all three work together, how long would it take them to refinish 5 driveways? Show all work

Answers

Answer: 45 because 4+3+2=9 and 9x5=45

The line y=2x+5 would pass through which of the following points?
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B. (0,10)
C. (0,5)
D. (0,7)

Answers

Answer:

C:  (0, 5)

Step-by-step explanation:

The x-coordinates are all the same:  0.  In y = 2x + 5, the 2x term would be zero in all those cases, leaving only the y-intercept (5).  

We conclude that the line would pass through (0, 5), which is the y-intercept.

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Answers

Answer:Cube  

Step-by-step explanation:

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Answers

Answer:

16n^2+40n+25

Step-by-step explanation:

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Answer:

-4a

Step-by-step explanation:

(5)
A table cost $275. An LCD television set cost $325 more than the table.
Find the ratio of the cost of the LCD television set to the cost of the table.
Express the ratio in its simplest form.​

Answers

Answer:

table cost=275

LCD television cost=325+275

= 600

[tex]ratio = \frac{600}{275} \\ = \frac{120}{55} \\ = \frac{24}{11} [/tex]

a box of breakfast tacos coat $12 and a contains 8 tacos how much dose each taco coast

Answers

Answer:

$1.50

Step-by-step explanation:

12/8 = 1.50

Answer:

each taco cost $1.50

Step-by-step explanation:

12÷8=1.50

hey !! what's the answer ??

[tex] \sqrt{39 \times 13 \times 3} [/tex]

Answers

Answer:

39

Step-by-step explanation:

sqrt(39*13*13)

= sqrt(1521)

= 39

1) Hank is looking to sell his motorcycle. He compiles these prices from the newspaper for bikes just like his
$2,000; $ 16,900; $15,100; $14,500; and $17,000. Is it more reasonable for Hank to use the mean or the
median to get a reasonable estimated price for his bike?

Answers

Answer:

The median

Step-by-step explanation:

If you look at the sample section of the 5 different prices, you can see that $2,000 is very far away from the rest of the prices, which range from $14,000 to $17,000. This $2,000 is an outlier, and is likely not accurate in predicting reasonable prices for Hank's bike, so it should not be a factor in his decision or contribute to the mean value.

Find the sum of the first 59 terms of the arithmetic sequence.
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What is the sum of the first 59 terms?

Answers

Answer:

its 56

Step-by-step explanation:

I need this ASAP PLZ...helpp ...i will give brainlies to the correct answer

Answers

Solve by factoring
x = -12
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x= -12
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What is 2/5% as a fraction?

Answers

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solve for x round to one decimal place

Answers

Answer:

13.7

Step-by-step explanation:

c^2 - b^2 = a^2

16.5^2 - 9.2^2 = a^2

272.25 - 84.64 = square root of a

square root of 187.61

= about 13.66 or 13.7

Answer:

9.2square +16.5square whole under root

Step-by-step explanation:

use a calculator sorry I don't have one on me

No links please. Help

Answers

Answer:

C :D

Step-by-step explanation:

Answer:

3 3/4 cubic inches

Step-by-step explanation:

2 1/2 × 1 1/2 × 1= 3 3/4

[tex]l*w*h=v[/tex]

what are the factors of 64 that have a sum of 16

Answers

Anwnser 8

Step-by-step explanation:

2,4,6,8,32

Determine the distance, in units, from (−4,−7) to (4,8).

Answers

Answer:

17

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[4 - (-4)]² + [8 - (-7)]²

√(8)² + (15)²

√64 + 225

√289

=17

Norachai invests $8,876 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 13 years?


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C) $17,002.34

D) $15,231.28

Answers

B! Have a good day! Possibly wrong!

On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Find the probability that two of them die. Round to three decimal places

Answers

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

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q = 0.9

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14 C 2 * 0.1^2 * 0.9^12

= 0.257

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Answers

Answer:

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Step-by-step explanation:

Answer:

They're called geometrical proportional dividers.

You are a business developer and charge $45 for a site visit plus additional $24 per hour for each hour you spend training employees. Write and solve an equation to determine how many total hours you have to work to earn $810 working hours at two separate businesses.

Answers

Answer: [tex]28.3\ hr[/tex]

Step-by-step explanation:

Given

Charge of the site visit [tex]\$45[/tex]

Additional charge per hour is [tex]\$24\ \text{per hour}[/tex]

He eaned [tex]\$810[/tex]

Suppose he worked for x hours

[tex]\therefore 810=45+24x\\\text{On solving}[/tex]

[tex]\Rightarrow 765=24x\\\Rightarrow x=28.3\ hr[/tex]

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Answers

Step-by-step explanation:

la natalidad hace que la poblacion aumente

GEOMETRY 10TH GRADE NEED HELP ASAP

Answers

[tex] \boxed{(6, -3)} [/tex]

Step-by-step explanation:

Given the ratio 5:3

and Points A and B where A is located at (-6, 3), and B is located at (26, -13).

Let point A be [tex] (x_{1}, y_{1}) [/tex], and let point B be [tex] (x_{2}, y_{2}) [/tex].

(-6, 3) → [tex] (x_{1}, y_{1}) [/tex].

(26, -13) → [tex] (x_{2}, y_{2}) [/tex].

Let 5 be n, and 3 be m.

5:3 → n:m

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex].

To solve, just substitute these variables into the expressions of these coordinates to get the answer.

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex] →

[tex] (\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) [/tex] →

[tex] (\frac{(5)(-6)+ (3)(26)}{(5)+(3)}, \frac{(5)(3)+ (3)(-13)}{(5) + (3)}) [/tex] →

[tex] (\frac{-30 + 78}{8}, \frac{15+ -39}{8}) [/tex] →

[tex] (\frac{78 – 30}{8}, \frac{15 – 39}{8}) [/tex] →

[tex] (\frac{48}{8}, \frac{-24}{8}) [/tex]

[tex] (\frac{6}{1}, \frac{-3}{1}) [/tex]

[tex] (6, -3) [/tex].

Thus the coordinates of B are:

[tex] \boxed{(6, -3)} [/tex]

Answer:

Step-by-step explanation:

AB:BC::5:3

let the coordinates be (x,y)

[tex]x=\frac{nx1+mx2}{m+n} \\=\frac{3(-6)+5(26)}{5+3} \\=\frac{-18+130}{8} \\=\frac{112}{8} \\=14\\y=\frac{ny1+my2}{m+n} \\=\frac{3(3)+5(3)}{5+3} \\=\frac{9+15}{8} \\=\frac{24}{8} \\=3\\[/tex]

coordinates of B are (14,3)

5x/7-5=50 plsssssssssss noBOTS

Answers

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Answer: x=77

Explanation:

5x/7 - 5 = 50

5x/7 = 55

5x = 385

x = 77

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

5x/7 - 5 = 50

5x/7 = 50+5

5x/7=55

5x=55x7

5x = 385

x=385/5

x=77

Shelly's age plus Mary's age is less than 36. Mary is 15 years old. Write the equation thatrepresents the problem.

Answers

sorry I answered wrongly

Answer:

Shelly's age  is less than 21

Step-by-step explanation:

S+15 < 36

S < 21

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Answers

Answer:

b. y-intercept

Step-by-step explanation:

The slope=the number/s before the x

B. Y-intercept
Is the answer

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

Yay yay you got this
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