Sasha thought of a number. She added 22.5 to the number then multiplied the result by 2. a) Write this function as a mapping. b) Use inverse functions to work out the number Sasha thought of. Show your working.

Answers

Answer 1

Answer:

Follows are the solution to these questions:

Step-by-step explanation:

For point a:

Let the number is = x then,

equation / mapping function:

[tex]\to (x+22.5) \times 2=y\\\\[/tex]

For point b:

Calculating the inverse function:

[tex]\to x = \frac{y}{2} -22.5\\\\[/tex]

now we change the value of x and y so, it will gives the inverse function in standard parameters:

[tex]\to y = \frac{x}{2} -22.5\\\\[/tex]


Related Questions

Least Value {15, 12, 21, 18, 25, 11, 17, 19, 20}

Answers

Answer:

11

Step-by-step explanation:

The number with the last value in this data set is 11. All the other numbers are greater than it in terms of numerical value. Imagine if all the numbers were represented through pennies. 11 would have the least amount of pennies.

5.) You deposit $5000 into an account compounded annually for 8
years. The account is now worth $9350. What was the interest rate
paid on the account?

Answers

Answer:

(1- 8 root of 9350/5000 times 100 = -8.14

Which graph below represents exponential decay

Answers

neither, the bottom one is exponential growth and the top one is linear

pay ITS TIVE
3. Bonolo ran a 10 km race. Her average speed was 6 km per
hour. How long did it take her in minutes to complete the race?
working days. .​

Answers

Answer:

km per min

Step-by-step explanation:

6km ÷ 60 = 0.1

Bonolo ran 0.1 km per min

it takes 100 mins= 0.1×10

100 mins means 1 hour 40 min

Please help me as soon as possible, I'LL GIVE BRAINLIEST !

Answers

Answer:  -10 also your welcome

help !! what's (2x-4) + -4

Answers

Answer: 2x-8

Step-by-step explanation:

A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) It is not a valid sample because it is only a short study. It is a valid sample because money is offered to participants. It is a valid sample because the first 10 people were selected to participate. It is not a valid sample because it is not a random sample of the population.

Answers

Answer:

the third one

Step-by-step explanation:

do you need and explanation

which of the following lists of ordered pairs is a function

Answers

They have the 2
774546-354

Answer:

The correct answer is C

Step-by-step explanation:

A line that includes the point (1, 10) has a slope of 6. What is its equation in slope-intercept
form?

Answers

Answer:

         y = 6x + 4

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m and including the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = 6

(1, 10)  ⇒    x₀ = 1,  y₀ = 10

Therefore:

y - 10 = 6(x - 1)          ← the point-slope form

y - 10 = 6x - 6       {add 10 to both sides}

y = 6x + 4               ← the slope-intercept form

What two numbers can be multiplied to make -10 and added to make -3?

Answers

-5 x 2 = -10 , -3 x 1 = -3

-5 and +2 would be the correct answer :)

A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 105 ounces of a mixture that is 15% salt. How many ounces of water and how many ounces of the 35% salt solution should she use?

Answers

Answer:

60 oz of water to add

45 oz of 35% salt solution should be used

Step-by-step explanation:

Let x = amt no. ounces in the first solution

and  105 - x = amt no. of ounces in the second solution

Ist solution contains 0% salt

2nd solution contains .35(105 - x) salt

.15(105= amt of salt in mix

So.

amt of salt in 1st solution + amt of salt in 2nd solution = amt of salt in the mix

0 + .35(105 - x) = .15(105)

Let's get rid of the fractions by multipying thru the equation by 100

35(105 - x) = 15(105)

3675 - 35x = 1575

-35x = -2100

x = 60 oz of water to add

105 - 60 = 45 oz of 35% salt solution should be used

The price of a gallon of unleaded gas was 2.84 yesterday. Today, the price rose to 2.90 . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer:
102.1%
Explanation: 2.90/2.84=1.021x100

(4 × 10 –10)(3 × 104)

Answers

Answer: 9360

Step-by-step explanation:

1) 10 (4 - 1) x ( 3 x 104 )

2) 10 (4-1) x 312

3) 10x3x312

=9360

Hope this helps!

if you have $161.98 and you buy something for $19.99, how much do you have left?

Answers

Answer:

$141.99

Step-by-step explanation:

$161.98 - $19.99 = $141.99 left

(All you needed to do was subtract.)

what is 7 plus 5 and i want you to say that 7 plus 5 equals

Answers

Answer:7+5=12

Step-by-step explanation:

Answer:

lol ok 7+5 = 12 you welcome I guess...

Step-by-step explanation:

Solve for the area using heron´s formula

Answers

9514 1404 393

Answer:

  252.8 cm²

Step-by-step explanation:

The missing side of the right triangle can be found from the Pythagorean theorem:

  s² = 20² -16² = 400 -256 = 144

  s = 12 . . . . cm

The area of a right triangle is more easily found using the traditional area formula:

  A = 1/2bh

  A = 1/2(12 cm)(16 cm) = 96 cm² (left-side triangle)

The area of the triangle on the right can be found from Heron's formula. The semiperimeter is ...

  s = (16 +20 +23)/2 = 29.5

The area is ...

  A = √(29.5(29.5 -16)(29.5 -20)(29.5 -23)) = √(29.5·13.5·9.5·6.5)

  A = √24591.9375 ≈ 156.818 . . . . . cm² (right-side triangle)

Then the total area of the figure is ...

  A = 96 cm² +156.818 cm² = 252.818 cm² . . . . total area

HELP PLZZZZ!!!!!!!!! will mark brainlest

Answers

Answer:

(7,-8)

Step-by-step explanation:

just count the x and y axis

Brillianst please!!!

You rent an apartment that costs $ 1400 $1400 per month during the first year, but the rent is set to go up $ 190 $190 per year. What would be the monthly rent during the 6th year of living in the apartment?

Answers

Answer:

$2540

Step-by-step explanation:

Given data

Cost per month=$1400

Increase per year=$190

Time = 6 years

Let the total rent per month be y

Hence, the expression for the monthly rent after 6 years is

y= 1400+190(6)

y= 1400+1140

y=$2540

error analysis: describe and correct the error in solving the equation.

1) the only solution of the equation x^2+6x+9=0 is x=9


Answers

The only solution of the equation is x=0

what is the value of x and y if the quadrilateral is a parallelogram

Answers

x=2..
y=1..

hope this helps

The ratio of boys to girls at the valley high school is 3:2. The school has 900 students. How many boys are at the school?

Answers

Answer:

let the no. of boys be 3x and girls be 2x

And according to the question

2x+3x is equal to 900

Step-by-step explanation:

and solve this equation...

hope this helps..

Mary's clock uses 3/4 of the batteries in the package. There are 8
batteries in the pack. How many batteries does the clock need? *

Which one is the answer?

1. 2
2. 4
3. 8
4. 6

Answers

DONT look at that photo. You have no idea what's in that link!

The answer is d) 6 batteries

7/52 as a mixed number

Answers

Answer:7

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

[tex]\frac{7}{52}[/tex] is a proper fraction. Therefore, it cannot be written as a mixed number.

If you meant [tex]\frac{52}{7}[/tex]:

7 can go into 52 7 times with 3 'parts' remaining.

This means that 7 is the whole number and the fraction is 3/7.

[tex]\frac{52}{7}=7\frac{3}{7}[/tex]

Hope this helps.

Give your answer as a mixed number. 2 6/7 ÷ 2/3 =?​

Answers

2 6/7 ÷ 2/3

= 20/7 ÷ 2/3

20/7 × 3/2

= 60/14

reduce to it's lowest term

30/7 = 4 2/7

Which of the following is the graph of (see images)

Answers

Answer:

The first Graph

Step-by-step explanation:

its not the third because it's a dotted line, so it wouldn't be equal to. it's not the second because it's shaded in the wrong place, making it less than.

A cyclist cycles a distance of 44 miles in a time of 4 hours.
What is her average speed?

Answers

Answer:

11 miles an hour

Step-by-step explanation:

44 miles divided by 4 hours would equal 11 miles in one hour, meaning her average speed would be 11 miles an hour

Answer:

The average speed is 11

Step-by-step explanation:

You would have 44 on top and 4 on the bottom(44/4)

then you would divide the 4 by four and the 44 by four to get 11 miles an hour.

In 2012 there were approximately 8950 public libraries in the United States. A survey found that 76% of those libraries offered free access to electronic books. Based on this information, how many public libraries offered free access to electronic books in 2012?

Answers

Answer:

6802 libraries

Step-by-step explanation:

8950 x 0.76

hope this helps

someone pls pls pls answer these questions by finding the area!!!!!!!

Answers

Answer:

8 is the diamonds area im not sure if there is a formula for that but its 8

Second shape you could connect the dots to make it more easier to get 15

Third shape is 16 for the area.

Help its due around 10

Answers

Answer:

Pretty sure its B

Answer:

Answer: B

Step-by-step explanation:

Count the number of atoms of each element on each side. They must be equal.

Only B has equal numbers of atoms of each element on both sides of the equation.

B

left side: 1 C, 2 H, 1 O

right side: 1 C, 2 H, 1 O

Which proportion could be used to find the length of side b?
С
a
829
58°
А
8.4
B
sin 82
O A.
sin 58
8.4
sin 82
B.
sin 40
8.4
C.
sin 40
8.4
sin 58
b
sin 82
D.
sin 58
b
a

Answers

Answer:

B

Step-by-step explanation:

Solve for angle C,

180=58+82+x

x=40

m<C = 40

Using law of sines,

sin(40)/8.4 = sin(82)/b

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