QUESTION 11
(01.02)
Given the function f(x) = 3(x+2) - 4, solve for the inverse function when x = 2. (1 point)
O -4
Oo
O 4
08

Answer:

f^(-1)(x) = -3x/(3x-3)

Step-by-step explanation:

1) replace f(x) by y

● y = 3x/(5x+3)

2) exchange x and y

● y = 3x/(5x+3)

● x = 3y / (3y +3)

3) solve for y

● x = 3y / (3y +3)

● x (3y +3) = 3y

● 3xy + 3x = 3y

● 3xy - 3y = -3x

● y (3x - 3) = -3x

● y = -3x /(3x-3)

4) replace y with f^(-1)(x)

● y = -3x/(3x-3)

● f^(-1)(x) = -3x/(3x-3)

Answer:

y = 9

Step-by-step explanation:

Given

6.4x + 2.8y = 44.4 ← substitute x = 3 into the expression

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4 ( subtract 19.2 from both sides )

2.8y = 25.2 ( divide both sides by 2.8 )

y = 9

Answer:

Here,

JM=MK

so,

7x+5 = 8x

[tex]7x + 5 = 8x \\ ⇒ 5 = 8x - 7x \\ ⇒5 = x[/tex]

. ° . JM = 7x+5 = 7×5+5 = 40

. ° . MK = 8x = 8×5 = 40

Hence,

Answer:

y = 4(x - 2)² + 48

Step-by-step explanation:

Given

y = 4x² - 16x + 64

Using the method of competing the square

Factor out 4 from 4x² - 16x

y = 4(x² - 4x) + 64

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = 4(x² + 2(- 2)x + 4 - 4 ) + 64

   = 4(x - 2)² - 16 + 64

    = 4(x - 2)² + 48

y = 4(x - 2)² + 48

Step-by-step explanation:

Given

y = 4x² - 16x + 64

Using the method of competing the square

Factor out 4 from 4x² - 16x

y = 4(x² - 4x) + 64

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = 4(x² + 2(- 2)x + 4 - 4 ) + 64

  = 4(x - 2)² - 16 + 64

   = 4(x - 2)² + 48

Answer: C. The amount of data collected was inadequate:

Step-by-step explanation: Interviewing 15 students out of 1,200 does not show an accurate result, as he should have interviewed more students. Also, just took the quiz.

Answer:

First one second one and fifth one.

Step-by-step explanation:

Got it right on edge

Answer:

58 i think

Step-by-step explanation:

Step-by-step explanation:

[tex]( \frac{1}{2}) {}^{3} [/tex]

[tex] \frac{ {1}^{3} }{2 {}^{3} }{} [/tex]

[tex] \frac{1}{8} [/tex]

If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.

If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.

If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.

So 3x = 4 (mod 5) when x = 3.

We don't need to check D since x = 3 is a solution and it's smaller than x = 4.

If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.

Answer:

20cm

Step-by-step explanation:

Volume of cylinder = (pi) r^2 x height.

Rearrange:

500pi/5^2 pi = height

500pi/25pi = 20

Height = 20cm

Hope this helped!

Answer

2.0909090909090909090909090909090909090...

Step-by-step explanation

Answer:

(5x + 2) - (-9x - 2)

O 11x2 – 5x + 8

14x + 4

–6x2 + 8x 7

-X2 + 6

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{14x + 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(5x + 2) - ( - 9x - 2)}[/tex]

When there is a ( - ) sign in front of an parentheses in an expression , change the sign of each term in the expression. Also, remove the parentheses

[tex] \dashrightarrow{ \sf{5x + 2 + 9x + 2}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{14x + 2 + 2}}[/tex]

Add the numbers : 2 and 2

[tex] \dashrightarrow{ \sf{14x + 4}}[/tex]

Hope I helped!

Best regards! :D

Answer:

5x + 6y = -10

Step-by-step explanation:

(-2, 0) and (-8, 5)

m = (y₂ - y₁) /  (x₂ - x₁)

m = (5 - 0) / (-8 -(-2)

m = 5 / (-8+2)

m = -5/6

y = mx + b

(-8, 5)

5 = -5/6(-8) + b

5 = 40/6 + b

b = 5 - 40/6

b = -5/3

y = mx + b

y = -5/6x - 5/3           *6

6y = -5x -5(2)

6y = -5x - 10

5x + 6y = -10

Answer:

b c and f edit: also A

Step-by-step explanation:

just gotta find what is reflexive

Answer:

E. none of these

Step-by-step explanation:

4.9 inches = 7.73359e-5 miles

Answer:

Step-by-step explanation:

As seen from the first given equation: x + 1/x = 2

If we think of x as x/1 instead then we get:

x/1 + 1/x = 2.

To combine the fractions we multiply the top and bottom of the first one (x/1)  by x to get x^2/x so both have the same denominator so we can combine them which gives us:

(x^2+1)/x=2

Move x to the other side and we get:

x^2+1=2x

Move it back and we get a quadratic equation of

x^2 - 2x + 1

This factors into (x-1)(x-1) meaning x=1

For all the other equations they are equal because x=1.

1 to the power of anything is still one so each of the equations below will result in: 1+1/1 which is 2.

Therefore all of them are equal.

Hope this helped!

Answer:

X,2,3

Step-by-step explanation:

LEARN THIS PLZ

Answer:

Step-by-step explanation:

Reflect over Ox axis , then translate x+6 , y-1

Answer:

3 Meters

Step-by-step explanation:

100 centimeters is equal to 1 meter

300/100=3

or

300 centimeters divided by 100 centimeters (for ever meter) is 3

Answer:

c

Step-by-step explanation:

djdjsiksfnjdkdkdke

Answer:

b all real numbers x>4

Step-by-step explanation:

edg answer

Answer:

N

Step-by-step explanation:

n has both s and u

m has only u

p has only s

Answer:

54$

Step-by-step explanation:

1. 39+15 = 54

Answer:

10

Step-by-step explanation:

-12+22

10

Answer:

10

Step-by-step explanation:

Answer:5=0+9

Step-by-step explanation:

Answer:

the answer to that question is 11/16

Using the probability principle, the probability of picking two tiles which sums above 7 is 11/16.

Recall :

The only way to choose two tiles which sums up to a number greater than 7 would be :

Since selection is performed with replacement ;

The probability of choosing two tiles whose sum is greater than 7 ;

Hence, probability of choosing tiles with a sum greater than 7 is 11/16

Therefore, the probability of picking two tiles which sums above 7 is 11/16.

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