I don’t understand the steps for this problem

Answer:

[tex] {f}^{ - 1} (x) = 2x - 8[/tex]

[tex] {f}^{ - 1} (4) = 0[/tex]

Step-by-step explanation:

[tex] y = \frac{1}{2} x + 4 = = = > \\y - 4 = \frac{1}{2} x = = = > \\ 2y - 8 = x = = > {f}^{ - 1} (x) = 2x - 8[/tex]

[tex] \frac{1}{2} x + 4 = 4 = = = > \\ \frac{1}{2} x = 0 = = = > x = 0[/tex]

Answer:

74 units squared

Step-by-step explanation:

we know that the area of a square or rectangle is A = L × w

so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.

so I'll start with the middle square its length is 8 and width is 8 too.

A = 8 × 8

A = 64

now we'll move on to the other small ones to the side.

the one on the right side it's length is 2 and width is 2.

A = 2 × 2

A = 4

and then the last one on the left, Length is 3, width is 2.

A = 2 × 3

A = 6

now we'll add up all of the areas to get the total area.

Total = 64 + 4 + 6

Total = 74 units squared

Answer:

One hundred thousand

Step-by-step explanation:

It would be one hundred thousand because 10*10*10*10*10 is 100,000, hence 100,000 would be, well, one hundred thousand.

Answer:

ten times ten times ten times ten times ten or one hundred thousand

Step-by-step explanation:

Answer:

C 4:7 and 12:21

Step-by-step explanation:

4×3 => 12

7×3 => 21

Answer:

The sequence converges to 1.

Step-by-step explanation:

[tex]\frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7}\\\\The \ general \ term = \frac{n -1}{n}\\\\ \lim_{n \to \infty} (\frac{n -1}{n}) = \lim_{n \to \infty} \frac{n(1 -\frac{1}{n})}{n} = \lim_{n \to \infty} 1 - \frac{1}{n} = 1 - \lim_{n \to \infty} \frac{1}{n} = 1[/tex]

[tex][ \lim_{n \to \infty} \frac{1}{n} = 0][/tex]

Answer:

40 cookies was sold

Step-by-step explanation:

Let x represent the number of cakes baked, y represent the number of cookie baked and z represent the number of buns baked.

He made 270 cakes. Therefore x = 270

28% of the total baked products where cookies, hence:

0.28(270 + y + z) = y

75.6 + 0.28z = 0.72y

0.72y - 0.28z = 75.6      (1)

The number of cakes was three times the number of buns. Hence:

x = 3z

3z = 270

z = 90

Put z = 90 in equation 1:

0.72y - 0.28(90) = 75.6

0.72y -25.2 = 75.6

y = 140

Therefore 270 cakes was baked, 140 cookies was baked and 90 buns was baked.

He sold 40 buns and 120 cakes, the number of buns and cakes left is 50 buns and 150 cakes. Let us assume that number of cookies left was a. Since the ratio of left buns to cakes to cookies is 1:3:2. Hence:

(1/6) * (50 + 150 + a) = 50

300 = 200 + a

a = 100

Therefore 100 cookies was left. The number of sold cookies = 140 - 100 = 40

Answer:

Number of cars on road in 2020 = 35,400 car

Step-by-step explanation:

Given;

Number of cars on road = 177,000

Decrease in cars on road in 2020 = 80%

Find:

Number of cars on road in 2020

Computation:

Number of cars on road in 2020 = Number of cars on road[1 - Decrease in cars on road in 2020]

Number of cars on road in 2020 = 177,000[1-80%]

Number of cars on road in 2020 = 177,000[1-0.80]

Number of cars on road in 2020 = 177,000[0.20]

Number of cars on road in 2020 = 35,400 car

Answer: A sum

Step-by-step explanation: The result of adding two or more numbers together is a sum.

When two (or more) numbers are added together, the result is called a sum.

Answer:

450 foe

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

[tex]15^2+b^2=25^2\\225+b^2=625\\625-225=b^2\\b^2=400\\\sqrt{400}=20[/tex]

Answer:

A.

[tex]j + j + j + j \: and \: j4[/tex]

The entire group about which you want to draw conclusions is referred to as a population. A sample is a subset of the population from which you will collect data. The sample size is always smaller than the population's total size. A population in research does not always refer to people.

Answer:

What are the original demensions?

Step-by-step explanation:

Answer:

33.30 units²

Step-by-step explanation:

Central angle = m<BCD = 106°

Radius (r) = 6 units

Area of sector BCD = central angle/360° × πr²

Plug in the values into the formula

Area of sector BCD = 106/360 × π × 6²

Area of sector BCD = 106/360 × π × 36

Area of sector BCD = 33.3008821

Area of sector BCD = 33.30 units² (nearest hundredth)

Answer:

2 gallons and 1/2

Step-by-step explanation:

You just have to subtract 1/2 from 3.

3 - 1/2 = 2 1/2

or

3 - .5 = 2.5

And 2 1/2 is how much more he served.

Answer: 5 times more hot chocolate

Step-by-step explanation:

Answer:

B) 2meter line segment

Step-by-step explanation:

3.28ft=1m

Then an easy way to find the answer is to multiply 3.28 by 2

to if the 6.3ft line is under or over 2m

3.28 multiplied by 2 equals 6.56

6.56>6.3

therefore, the 6.3ft. line segment is just a little shorter than 2m

Answer:

n = 7

Step-by-step explanation:

Varies directly

w/n² = k

---------------------------

when n = 3, W = 117

k =117/3²

k = 117/9

k = 13

-------------------------

Find n when W = 637

637/n² = 13

637 /13 = n²

49 = n²

7 = n

Answer:

6 number of seashells for 1 Summer. 21 number of seashells for two summers. 36 number of seashells for three summers. 51 number of seashells for 4 summers.

Step-by-step explanation:

15 substituted in for f and x is the the number of summers.

Answer:

6

21

36

51

Illuminate test.

Answer:

c

Step-by-step explanation:

I think it is c

Answer:

40π in^2

Step-by-step explanation:

360°/72°=5

so, each of the two shaded regions are 1/5 of the circle.

the formula for finding the area of a circle is πr^2, so:

area for one of the shaded regions:

1/5πr^2

1/5π(10)^2

1/5π100

20π in^2

this means that the area for one of the shaded regions is 20π. however, since there are two of them:

2(20π)=40π

so, the area of the shaded regions is 40πin^2

Answer:

Option B

Step-by-step explanation:

It's clear from the graph attached,

ΔABC has been dilated and shifted downwards.

Length of segment AB = 2 units

Length of segment DE = 4 units

Scale factor by which the dilation has been done = [tex]\frac{\text{Dimension of the image triangle}}{\text{Dimension of the original triangle}}[/tex]

Scale factor = [tex]\frac{DE}{AB}[/tex]

                    = [tex]\frac{4}{2}[/tex]

                    = 2

Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.

Lets consider a point B(0, 0) from the given graph and analyze the transformations done.

If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,

B(0, 0) → E(0 + h, 0 + k)

Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.

Therefore, (0 + h) = 0 ⇒ h = 0

0 + k = -10

k = -10

Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)

Option B is the correct option.

Answer:

i know there's a lot of explanation. but it helps u for sure :)

Step-by-step explanation:

1)

[tex]-7 \ and \ \frac{1}{3} = \frac{-7}{1} \ and \ \frac{1}{3}\\\\LCM \ of \ 1 \ and\ 3 = 3\\\\\frac{-21}{3} \ and \ \frac{1}{3}\\\\To \ find \ rational \ numbers \ between \ \frac{-21}{3} \ and \ \frac{1}{3} \ write \ any \ number \ between \ -21 \ and \ 1 \ with \ denominator \ 3. \\\\That \ is, \ \frac{-20}{3}, \frac{-19}{3}, \frac{-18}{3}.....[/tex]

2)

[tex]\frac{5}{9} \ and \ \frac{2}{3}\\\\Similarly \ take \ LCM \ of \ 9 \ and \ 3 = 9\\\\Since \ it \ is \ still \ complicated \ to \ find \ rational \ number \ between \ \frac{5}{9} \ and \ \frac{6}{9},[/tex]

[tex]because \ there \ exists \ no\ natural \ number \ between \ 5 \ and \ 6.[/tex]

[tex]We \ will \ multiply \ numerator \ and \ denominator\ by\ 10. \\\\Therefore\ \frac{5}{9} \ and \ \frac{6}{9} \ becomes \ \frac{50}{90} \ and \ \frac{60}{90}.[/tex]

[tex]Keeping \ denominator \ 90 \ write \ numbers \ from \ 50 \ to \ 60 \ in \ the\ numerator.\\\\That \ is , \frac{51}{90}, \frac{52}{90}, \frac{53}{90}, \frac{54}{90}, .\ .\ .[/tex]

3)

[tex]LCM \ of \ 5 \ and \ 7 = 35\\\\\frac{-2}{5} \ and \ \frac{-3}{7}\ becomes \ \frac{-14}{35} \ and \ \frac{-15}{35}\\\\Now \ multiply \ denominator \ and \ numerator \ by \ 10\\\\\frac{-140}{350} \ and \ \frac{-150}{350}.\\\\Rational \ numbers \ are \frac{-141}{350}, \frac{-142}{350}, \frac{-143}{350}, . \ . \ . \[/tex]

Tip :

1. Make the denominator same.

2. Multiply numerator and denominator by 10 , 100 or 1000

3. Just write the natural numbers between the 2 numerators keeping denominator same.

Answer:

[tex]c=\frac{ab}{a+b}[/tex]

Step-by-step explanation:

To solve for [tex]c[/tex], our goal is to isolate it.

Start by multiply both sides by [tex]ab[/tex]. That way, we'll still have only one term with [tex]c[/tex], but we'll be able to get rid of two messy fractions.

[tex]b+a=\frac{ab}{c}[/tex]

Taking the reciprocal of both sides:

[tex]\frac{1}{a+b}=\frac{c}{ab},\\c=\boxed{\frac{ab}{a+b}}[/tex]

*Note: You cannot take the reciprocal of both sides if you're adding fractions. This is why we can't just take the reciprocal of both sides in the initial equation.

Alternate solution:

[tex]\frac{1}{a}+\frac{1}{b}=\frac{b}{ab}+\frac{a}{ab}=\frac{1}{c},\\\\\frac{b+a}{ab}=\frac{1}{c},\\\\c=\frac{ab}{b+a}=\boxed{\frac{ab}{a+b}}[/tex]

Answer:

c=ab

a+b

Step-by-step explanation:

1 + 1= 1

a. b. c

a+b = c

ab

a+b= ab

c

ac+bc=ab

c(a+b)=ab

c(a+b)=ab

a+b. a+b

c=ab

a+b

Answer:

0.2005

Step-by-step explanation:

Mean, m = 65000

Standard deviation, σ= 7000

Sample size, n = 25

Let X = random variable of salary

Recall:

Z = (μ - x) /(σ/√n)

P(62500 ≤ x ≤ 64000) =?

Pr((65000 - 62500)/7000/√25 ≤ z ≤ (65000 - 64000) / 7000/√25)

P(2500 / 1400 ≤ z ≤ 1000/1400)

P = (1.79 ≤ z ≤ 0.714)

Using the normal distribution table or a Z probability calculator

0.4633 - 0.2624

= 0.2009

Answer:

0=0  1=1   2=0  3=0  4=1   5=3   6=1   7=0   8=0   9=1   10=2   11=1   12=2   13=0   14=0   15=3   16=0

Step-by-step explanation:

There was no question so here above is the Dollars spent graph in numbers not dots!

- 3 is for vertical displacement sis.

( Sorry about my bad graphing and bad quality of the pic )

Answer: Alice returns on Wednesday, 3 pm.

Step-by-step explanation: One day is 24 hours long. 55 hours is 2 days and 7 hours. So Alice comes back home on Wed  , add 8 am 7 hours and you get 3 pm

The time that Alice would arrive home from the sponsored walk given the the time she starts the walk is Wednesday by 3pm.

The first step is to divide 55 hours into days. This can be done by dividing 55 hours by 24.

55/24 = 2 days 7 hours

The second step is to add 2 days 7 hours to 8am: Monday 8am + 2 days 7 hours = Wednesday 3pm

To learn more about how to calculate time, please check: https://brainly.com/question/26290873

Answer:

Area of the sector : D.

3π cm²

Answer:

2 times length of AB

Step-by-step explanation:

Given

[tex]AB =50\%[/tex]

Required

Length of line with 100%

To get the length of line segment that is 100%, simply multiply AB by 2

i.e.

[tex]2 * AB =2 * 50\%[/tex]

[tex]2 AB =100\%[/tex]

Assume AB = 5cm (at 50%). The length at 100% will be 10cm i.e. 2 * 5cm