9
State the various transformations applied to the base function f(x) = [x] to obtain a graph of the function g(x) = -[x]+2
A reflection about the x-axis and a vertical shift upward of 2 units.
A reflection about the y-axis and a vertical shift downward of 2 units.
A reflection about the y-axis and a vertical shift upward of 2 units.
A reflection about the x-axis and a vertical shift downward of 2 units.

Answer:

A) A = 275 + 125x

B) 1850 - 100x

C) 7 months

D) 13 months

Step-by-step explanation:

He has $275 saved.

He plans to save $125 each month.

We are told that the computer is currently $1,850

And the price drops $100 each month.

Thus;

A) If x represents the number of months, then equation of the amount he will save is;

A = 275 + 125x

B) If x represents the number of months, then equation to represent the total cost is;

1850 - 100x

C) To find the Number of months he will need to save, we will equate gotten in question A to the equation gotten in question B. Thus;

275 + 125x = 1850 - 100x

Rearranging;

125x + 100x = 1850 - 275

225x = 1575

x = 1575/225

x = 7 months

D) If the price doesn't drop like he is anticipating, then the cost will still be $1850. Thus;

275 + 125x = 1850

125x = 1850 - 275

125x = 1575

x = 1575/125

x = 12.6 months

Approximating to the nearest whole number gives 13 months

Answer:

11.75 please give brainliest

Step-by-step explanation:

Answer:

[tex]p > s[/tex]

Step-by-step explanation:

Given

[tex]p \to poncho[/tex]

[tex]s \to scarf[/tex]

Required

The inequality

From the question, we understand that;

the number of p used is more than the number of s

more than means greater than.

So, the inequality is:

[tex]p > s[/tex]

To represent this on a number line.

First, we identify the position of s (i.e. scarf)

[tex]p > s[/tex] implies that p is any point to the right of s

Answer:

BC = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

Hope this helps u !!

3x -17

4   -5 =0

3(x-4)=2

4          5

Step-by-step explanation:

a )2x-2

b)6x+9

c)7x+35d

for these type of questions you basically just times the out side number of the brackets by the inside one.

hope this helps u understand:)

Answer:

[tex]area = \pi {r}^{2} \\ = \frac{22}{7} \times {( \frac{8}{2} )}^{2} \\ = 50.3 \: {km}^{2} [/tex]

Answer:

$36.97  

The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because . Now do . This is the discount, so you want to subtract this from the original to get the actual price of the meal, .

The tax was 8% so this means he is adding

Answer:

false

Step-by-step explanation:

false

Answer:

it is false it'll be (-infinity,infinity )

Step-by-step explanation:

Hope this helps!! <3

Answer: B) [tex]25 ft^2[/tex]

Step-by-step explanation:

The figure is 5 blocks high and 5 blocks long.

That is 5x5 which is 25.

Each block is a foot squared so the final answer is [tex]25 ft^2[/tex]

Answer:

Answer is B. 25f squared

Step-by-step explanation:

5 down 5 across, multiply it.

Answer:W

Step-by-step explanation: The multiplicative inverse is the reciprocal of the number

Answer:

Hello There!!

Step-by-step explanation:

I believe the answer is 21:14. Split 104 minutes so it will be easier to calculate so it's 60 and 44. 60 minutes is 1 hour so add 1 hour to 19:30 which is 20:30 then there is 44 minutes left. There is 30 minutes left to make it 21:00 so there is 14 minutes left at the end and add that to 21:00 which is 21:14.

hope this helps,have a great day!!

~Pinky~

If a film starts at 19:30 and lasts 104 minutes.

The film will end at 21:14.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. 

Example:

x + y + 2 is an expression.

We have,

Film start time = 19:30

Duration of the film = 104 minutes

1 hour = 60 minutes

Multiply 104/60 on both sides

104/60 x 1 hour = 104/60 x 60 minutes

1.73 hours = 104 minutes

The time the film will end:

= 19:30 + 1.73 hours

= 19:30 + 1 hour + 44 minutes

= 21:14

Thus,

The film will end at 21:14.

Learn more about expressions here:

https://brainly.com/question/10978794

#SPJ2

Answer:

x = 3 1/2

Step-by-step explanation:

8/14 = 2/x

Using cross products

8*x = 14*2

8x = 28

Divide by 8

8x/8 = 28/8

x = 7/2

x = 3 1/2

Answer:

Probability = 16.7

Step-by-step explanation:

Total marbles 9

Choosing 2 red = [tex]4C_2[/tex]

Choosing 2 marbles from 9 marbles = [tex]9C_2[/tex]

Probability percent of choosing 2 red marbles from 9 marbles

                                                          [tex]\frac{4C_2}{9C_2} = \frac{1}{6} \times 100 = 0.1667 \times 100 = 16.7[/tex]

Answer:

16.6

Step-by-step explanation:

4+3+2=9 marbles

4=red

4/9*3/8=1/6

1/6= 16.6

Given:

Angelica reads 15 pages of a book each day.

In 10 days, she reads 200 pages.

Assume the relationship is linear.

To find:

The rate of change and initial value.

Solution:

The slope intercept form of a linear function is:

[tex]y=mx+b[/tex]            ...(i)

Where m is the slope and b is the y-intercept.

Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and [tex]m=15[/tex].

In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).

Putting [tex]x=10,y=200,m=15[/tex] in (i), we get

[tex]200=15(10)+b[/tex]

[tex]200=150+b[/tex]

[tex]200-150=b[/tex]

[tex]50=b[/tex]

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.

Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.

Answer:  C. Function composition

Step-by-step explanation:

If we have two functions, we can form a new function by composing one function into the other.  Such functions are known as composite functions.

For example we have two functions f and g and produces a function h such that h(x) = g(f(x)).  

It is generally a function that is written inside another function.

i.e. it is a process of using the output of one function as the input for another.

Thus, the correct option is  C.

The required term:  Function composition

Answer:

4 toppings

Step-by-step explanation:

22-12=10

2.50*?=10

2.50*4=10

4 toppings

Answer:

12+(2.50x)

12+(2.50*4)

12+(10)

22

Step-by-step explanation:

x stands for number of toppings

Answer:

first u will find de L.C.M which is 6

so u will multiply de whole equation by 6 hence

6(x/3)- 6(x-1/ 2) greater or equal to 6(1)

u will then cancel getting de equation to be

2(x)-3(x-1) greater or equal to 6 (1)

now, u will expand de equation

2x-3x+3 greater or equal to 6

now u group like terms

2x-3x greater or equal to 6-3

hint: greater or equal to must be done with it's symbol

so now for de answer, u will get -x greater or equal to 3

wen u get this, u change de operation to be opposite of de current sign

now de final answer becomes

Answer:

[tex]x=30[/tex]

Step-by-step explanation:

[tex]5x=3x+60[/tex]

[tex]-3x[/tex]   [tex]-3x[/tex]

[tex]2x=60[/tex]

[tex]/2[/tex]     [tex]/2[/tex]

[tex]x=30[/tex]

Check:

[tex]5(30)=3(30)+60[/tex]

[tex]150=90+60[/tex]

[tex]150=150[/tex]

Hope this helps!

Answer:

$70

Step-by-step explanation:

essentially, Judy paid 90% of the original price

therefore you can write this equation where 'x' equals the original price:

.9x = 63

x = 63/.9

x = 70

Answer:

9x² + 6x - 5

Step-by-step explanation:

If you mean g(f(x))

g(x) = x² - 6

f(x) = 3x + 1

Then, g(f(x)) = g(3x + 1)

but g(x) = x² - 6

g(3x + 1) = (3x + 1)² - 6 = 9x² + 6x + 1 - 6

= 9x² + 6x - 5

Answer:

6 workers

Step-by-step explanation:

Number workers to earnings is direct proportion.

8: 2400 :: x : 1800

Product of means = Product of extremes

2400 * x = 8*1800

           [tex]x = \frac{8*1800}{2400}\\\\x=6[/tex]

Answer:

6 workers will earn Rs. 1800.

Step-by-step explanation:

Given :-

To find :-

Solution :-

Let

no. of workers will earn Rs. 1800 = x.

We need to write a ratio to solve.

using cross products

Divide each side by 2400

Hence, 6 workers will earn Rs. 1800.

Answer:

9.1

Step-by-step explanation:

Answer:9.1

Step-by-step explanation: simply remove the 2 digits after 1 as the tenth place is always one digit after the point

Answer:

0.27 goldfish per cubic foot

Step-by-step explanation:

Find the density of the tank by dividing the number of goldfish by the volume of the tank:

12/45

= 0.27

So, the density of the tank is 0.27 goldfish per cubic foot

Answer:

0.27 is the answer

Step-by-step explanation:

I took the test :)

Answer: 14

Step-by-step explanation: I am guessing that you wrote the "c" incorrectly and that meant to be an "e". All you really need to do is replace the letters with the numbers that equal the letters, which would be:

(15) - 1/2(2)

1/2 * 2 = 1

15 - 1 = 14

Answer:

[tex]w = \sqrt{x} y[/tex]

Step-by-step explanation:

Formula used :

[tex]a \ log\ b = log \ b^a\\\\log a + log b = log \ ab[/tex]

[tex]log\ w = \frac{1}{2} log\ x + log \ y\\\\log \ w = log \sqrt{x} + log \ y\\\\log \ w = log \sqrt{x} y\\\\w = \sqrt{x} y[/tex]

Answer:

D

Step-by-step explanation:

First find the slope of the line. The two points I will use are (0, 3) and (4, 2).

(2-3)/(4-0) = -(1/4). In all the equations below, the number/co-efficient before x is the slope of the line. D is the correct answer because you can rearrange the right side of it to get y = -(1/4)x+2. The co-efficient of x is -(1/4) so D is the right answer. Hope this helps! :)

Answer: D

Step-by-step explanation:

In order to have the same slope, in y=mx+b form, the two "m" must be equal.

Step 1 is to find the slope of the graph through two points. I choose the points (0,3) and (4,2)

slope is y2-y1/x2-x1 so 3-2/0-4 = -1/4

Now find which equation has the m of -1/4 and that's your answer

Hint its D.

===================================================

Work Shown:

a^2+b^2 = c^2

15^2+20^2 = 25^2

225+400 = 625

625 = 625

Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.

Side note: c is always the longest side.