Question 2 of 25
What do both of these functions have in common?
f(x) = |x-71-2
g(x) = 1.5 In (x - 2) +7
A. They have the same vertical shift
B. They have the same end behavior
C. They have the same vertical stretch
O D. They have the same horizontal translation

Answer:

x

Step-by-step explanation:

f([tex]f^{-1}[/tex](x))

Lets work the brackets first!

[tex]f^{-1}[/tex](x)

To solve we are going to find the inverse of the function.

[tex]f^{-1}[/tex](x)

f ⇔ y

∴ y = x

Interchange x and y

x = y

Solve for y

y = x

∴ [tex]f^{-1}[/tex](x) = x

Now let's solve the rest of the equation.

f(x) = x

∴ f([tex]f^{-1}[/tex](x)) = x

Answer:

x=-6

Step-by-step explanation:

1. Move the variable to the left-hand side and change its sign

3x-4-2x=-10

2. Collect like terms

x=-10+4

-10+4= -6

Answer:

2X²+6X-8

=2X²+8X-2X-8

=2X(X+4)-2(X+4)

=(X+4)(2X-2)

width=(x+4)

answer is option A

Answer:

y < [tex]\frac{1}{4} x+3[/tex]

Step-by-step explanation:

(-4, 2) (4, 4)

4 - 2 = 2

4 - - 4 = 8

slope = 1/4

y intercept is 3 because the inequality goes up 3 units

Answer:

(0.30, 0.42)

Step-by-step explanation:

Given the sample proportion is = 0.36

Number of trials required for determining the margin of the error = 100

Sample size, n = 50

The point estimate = 0.36

The minimum sample proportion form the simulation = 0.28

The maximum sample proportion from the simulation = 0.40

Also the margin of the error of population proportion is found by using the half of the range.

Therefore, the interval estimate for the true population proportion is = (0.30, 0.42)

Answer:

636,528 Rs

7,638,336 Rs

Step-by-step explanation:

Total wage bill per month = wage of each worker x number of employees

267 x  Rs 2384  = 636,528 Rs

Wage bill for the year = monthly wage bill x 12

636,528 Rs x 12 = 7,638,336 Rs

Answer:

(18/5, 0) is the x intercept

(0,-2) is the y intercept

Step-by-step explanation:

-5x+9y = -18

Set y = 0 and solve for x to find the x intercept

-5x +0 = -18

Divide each side by -5

x = -18/-5

x = 18/5

(18/5, 0) is the x intercept

Set x = 0 and solve for y to find the y intercept

0 +9y = -18

Divide each side by 9

y = -18/9

y = -2

(0,-2) is the y intercept

Answer:

x- intercept is 18/5

y- intercept is -2

Step-by-step explanation:

See image below:)

Answer:

(y−1)(y−2)(y+3)

Step-by-step explanation:

Factor y3−7y+6

y3−7y+6

=(y−1)(y−2)(y+3)

Answer:

(y - 2) (y-1) (y+3)

Step-by-step explanation:

y³-7y+6

= y³ +2y² - 2y² - 3y - 4y +6

= ( y³ +2y² - 3y) - (2y² + 4y -6)

= y( y² +2y -3) - 2( y² + 2y -3)

= (y² +2y -3)(y-2)

= ( y² +3y -y -3)(y-2)

= [ y( y+3) -(y+3)] ( y-2)

= (y-1)(y+3)(y-2)

Answer:

y = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-2(y - 4) = 18

Step 2: Solve for y

Answer:

1 1/6

Step-by-step explanation:

1. 2 - 1/3 = 1 2/3

2. 1 2/3 ÷ 2 = 5/6

3. 5/6 + 1/3 = 1 1/6

Answer: The area is  (800)

Step-by-step explanation: (10x 10= 100)

(100 x 8= 800)

FINAL ANSWER: 800m

~ i really hope this is correct, have a gr8 day/night my friend!~

Answer:

7 hours

Step-by-step explanation:

He drove 35 total miles so he would rest 35/5 hours. 35/5 is equal to 7 hours.

The answer is that he rested for 7 hours.

Answer: Purchase Price: $85.  Discount: (85 x 24)/100 = $20.40

Final Price:

85 - 20.40 = $64.60

Answer:

63.60, or 63.6, or 67,  how u round it

Step-by-step explanation:

Smartness

Answer:

20°C

Step-by-step explanation:

64-32 =32

32 ×5 =160

160/9 = 17.8

17.8 rounded to the nearest tenth is 20°C.

9514 1404 393

Answer:

  5,339,479

Step-by-step explanation:

The populations in millions of the different countries can be represented by the equations ...

  c = 5.2(1.025^t)

  d = 5.2(1.001^t)

We want to find d when c = 10. Solving for t when c=10, we have ...

  10 = 5.2(1.025^t)

  10/5.2 = 1.025^t

  log(10/5.2) = t×log(1.025)

  t = log(10/5.2)/log(1.025)

Then the value of d for that value of t is ...

  d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789

The population of Denmark is about 5,339,479 when the population of Chad is 10 million.

_____

If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.

Answer:

The probability will be "10.83%".

Step-by-step explanation:

According to the question,

Workers read e-mail,

= 57%

= 0.57

Write down important notes,

= 19%

= 0.19

Now,

The probability of worker who reads e-mail while in meeting and writes important notes will be:

= [tex]P[email \ reading \ during \ meeting]\times P[writes \ important \ notes][/tex]

By putting the values, we get

= [tex]0.57\times 0.19[/tex]

= [tex]0.1083[/tex]

= [tex]10.83[/tex] %

(a) 6

(b) 9

The units of a whole number is the rightmost digit in the number. For example, if the number is 15678, the units is 8 since that is the rightmost digit. Another example is 25795. The units is 5.

(a) To find the units of the square of -2346,

i. First find the square of (-2346)

(-2346)² = (-2346) x (-2346) = 5503716

ii. Now find the rightmost digit.

The rightmost digit of 5503716 is 6.

Therefore, the units of the square of (-2346) is 6

(b) To find the units of the square of -5677,

i. First find the square of (-5677)

(-5677)² = (-5677) x (-5677) = 32228329

ii. Now find the rightmost digit.

The rightmost digit of 32228329 is 9.

Therefore, the units of the square of (-5677) is 9

9514 1404 393

Answer:

  -17

Step-by-step explanation:

Let x represent the smallest of the integers. Then their sum is ...

  x +(x+1) +(x+2) +(x+3) = -62

  4x +6 = -62 . . . . . . . . . . . . . . . collect terms

  4x = -68 . . . . . . . . . .subtract 6

  x = -17 . . . . . . . divide by 4

The least of the four is -17.

y=23x+143 hope this helps

Answer:

y = -5x+14

Step-by-step explanation:

slope formula

y-y divided by x-x

4-(-1) / 2-3

5/-1 or -5

substitute into y = mx + b

4 = -5(2) + b

b = 14

Answer:

-3, - 2, - 1, 0, 1, 2, 3, 4

Step-by-step explanation:

The blue line of the number line can have its inequality range written as :

Since both startibg and endpoints are shaded :

-1 ≤ x ≤ 4

The red line can also be written as :

Only the start is shaded:

-3 ≤ x < 2

Listing out the values :

Blue line :-1 ≤ x ≤ 4

-1, 0, 1, 2, 3, 4

The red line : -3 ≤ x < 2

-3, - 2, - 1, 0, 1, 2

Combining both values :

-3, - 2, - 1, 0, 1, 2, 3, 4

Answer:

Y intercept = (0;6)

X intercept = (42/5;0)

Answer:

C

Step-by-step explanation:

Points are written as (x,y)

So in (4,-1) x = 4 and y = -1

Looking at a graph if you go to the right 4 units the x axis and down one unit you will be at point (4,-1)

The graph that shows this would be c

Answer:

20 is the answer I got

Answer:

Solution given:

length [l] =6in

wide[w]=9in

height[h]=4in

we have

volume of the display box=lwh=6*9*4=216in³

the required volume is 216 cubic inches.

Answer:

16 minute 30 seconds

Step-by-step explanation:

1 minute 30 seconds = 1.5 minutes

1.5 x 21 = 31.5 minutes

One person will make 10, one person makes 11.

11

11× 1.5 = 16.5

10× 1.5 = 15

16.5 is the answer

Answer:

6

9

6.48

Step-by-step explanation:

this is the easiest way to solve for percentage:

[tex]\frac{part}{whole} =\frac{part}{whole}[/tex]  Where all the percents (except 100) would go in part

and the whole number would go in whole

[tex]\frac{25}{100} =\frac{?}{24}[/tex]  Then multiply 24 × 25 ÷ 100 = 6

[tex]\frac{15}{100} =\frac{?}{60}[/tex]  Multiply 60 by 25 then divided by 100 = 9

Then for the last one 9 is what percent of 72

all we have to do is multiply 9 and then convert 72 into a decimal (0.72)

Then 9 × 0.72 = 6.48

Answer:

6.48

Step-by-step explanation:

you have to had the left then divide the right