What is the inverse of the function fx) = 2x + 1?

Answer:

a = 1

Step-by-step explanation:

[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]

One must simplify this expression, by distributing. In order to find a solution, where x has infinite solutions, one must make this equation an identity. That means that the equation will hold true, no matter what value of x is plugged in.

[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]

Distribute;

6x - 2 = 6x - 2a

Inverse operations;

6x - 2 = 6x - 2a

-6x        -6x

-2 = -2a

1 = a

For this equation to be true no matter what, a must equal 1.

Answer:

1

Step-by-step explanation:

Answer:

I. Not a function

II. Not a function

III. Yes, function

IIII. Yep!

(I messed up the numbering in the explanations, sorry 3 is 4 and 4 is 3)

Step-by-step explanation:

Hi!

For a function, every x value must have exactly 1 y value.

f(2) can't equal both 0 and 10. It can only equal 0 or 10. So, because of this, we have a test called the vertical line test. Basically, you drag a line through a graph, and if there is any x value that goes to two (or more) different y-values, then that graph is not the graph of the function.

Let me try to give a practical explanation.

I.

In this graph, everything looks fine until we reach x=6. (I'm assuming the graph goes by ones). Do you see the problem? Yep! x has two different y values.

y= 4 and y= 6.

So, this isn't a function. Why? Because there are two y values for each x value (aka, this doesn't pass the V.L.T)

II.

(1,2), (2,5) , (3,8) , (2,-5) (1,-2)

We have two groups of problem points.

(2,5) and (2,-5) and (1,2) and (1,-2)

Here, each x value goes to a different y value. Therefore, this isn't a function

III. y=x^2

This is your typical parabola. See the graph that I attached.

Notice that -2 and 2 both go to 4. Two different x-values going to the same y-value is fine, but one x can't go to to different y values.

IIII.

(-4,1) , (0,3) , (4,5) , (6,6)

Check 1: Does any x-value go to multiple y values? Nope! So, this is a function.

Answer:

1-1/4 cups (1 and 1/4 cups) or 1.25 cups

Step-by-step explanation:

To find the answer you need to take the total volume (5-5/8 cups) and divide it by the number of bottles you have:

5-5/8 divided by 4-1/2

There are two easy ways to do this: you can convert the mixed fractions into decimal form (A) or into improper fractions (B).

A)

First, convert to decimal form:

5-5/8 = 5.625 and 4-1/2 = 4.5

Then, you divide them:

5.625 / 4.5 = 1.25 (converted back to fraction form, if thats what you need, is 1-1/4)

B)

First, convert to mixed numbers:

5-5/8 = 45/8 and 4-1/2 =9/2

Then, you divide them:

45/8  /  9/2

When you divide fractions, you multiply by the inverse of the number you're dividing by (that means swapping the numerator and denominator):

45/8  *  2/9  =  90/72 (converted back to a mixed fraction, this equals 1-1/4)

Step-by-step explanation:

It is given that,

Sam opened a savings account with a deposit of $50. Every month after that, he  deposited $20 more.

It is not a proportional relationship. As initial amount was $50 and every month he deposited $20 more. The ratio is not constant for the deposited amounts.

To make the relationship proportional, he must start with zero balance and then should have deposited $20 every month.

Answer: (0,8)

Step-by-step explanation:

Convert to slope intercept form

-y+8=2x

-y=2x-8

y=-2x+8

Therefore 8 would be the y intercept

Answer:

The answer is a

Step-by-step explanation:

Answer:

$1.40

Step-by-step explanation:

Unit = "1 value"

9.80/7 = 1.4

Answer: 15

Step-by-step explanation:

The average number of cars sold for entire 8 days is $33250.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, a new cars salesperson, sold an average of $28,000 per day for the first 5 days she worked.

So, number of cars sold for 5 days =28,000×5

= 140000

The next 3 days she worked, she sold an average of $42,000.

Number of cars sold for 3 days

= 42,000×3

= 126000

So, average of 8 days =(140000+126000)/8

= 266000/8

= 33250

Therefore, the average number of cars sold for entire 8 days is $33250.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ2

Answer:

Brainliest are always appreciated :)

Step-by-step explanation:

For Number 1, just make a graph. (THE LINE WILL BE STRAIGHT)

For Number 2:

Proportional is when quantities have the same relative size. In other words they have the same ratio. The cocoa has an equivalent ratio which is why its proportional. This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

Answer:

30 i could be wrong

Step-by-step explanation:

sorry

Answer:

Rob.

Step-by-step explanation:

If we take Eric's unit rate and multiply the denominator by two, it will be 14 minutes. Rob's denominator is also 14 minutes. This makes it easier on ourselves. If we multiply the bottom number we also have to multiply the top. So, on Eric's unit rate, we will take the 3 pages and mltiply it by 2 to get 6. 6 is less than 8, so Rob takes the win.

Answer:

Step-by-step explanation:

4/(2+12)

=4/14

=2/7

=0.2857

Step-by-step explanation:

4/(2+12)

4/(14)

=0.285714286/ 2/7

Answer:

sure

Step-by-step explanation:

i'll go to your profile and do your next/latest question.

Answer:

sure whats up ? whats the question

Answer:

I would love to help you, but there are no photos nor links.

Step-by-step explanation:

Have a great day!

Answer:

Answer:

6

any more help just ask :)

Answer:

7) x=3, y=-7

x=0, y=-2

Step-by-step explanation:

Thanks for the support the finals always have been a struggle! Merry Christmas and good luck on everyone's finals!

Answer:

n = 28°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc.

Also angles subtended on the same arc are congruent , thus

m = n

Then

35 + m = [tex]\frac{1}{2}[/tex] (98 + n ) ← multiply both sides by 2 to clear the fraction

70 + 2m = 98 + n , but since m = n, then

70 + 2m = 98 + m ( subtract m from both sides )

70 + m = 98 ( subtract 70 from both sides )

m = 14 and n = 28

Answer:

Step-by-step explanation:

Here you go mate

step 1

(-25)/(-5)

step 2

(-25)/(-5)  divide the equation by 5

answer

=5

Answer: 5

Step-by-step explanation:

Multiplying or dividing a negative by a negative results in a positive.

[tex](-10)/(-2)=5[/tex]

Multiplying or dividing a negative by a positive results in a negative.

[tex](-10)/(2)=-5[/tex]

Multiplying or dividing a positive by a negative results in a negative.

[tex](10)/(-2)=-5[/tex]

Multiplying or dividing a positive by a positive results in a positive.

[tex](10)/(2)=5[/tex]

Thus, because -25 and -5 are both negatives, the answer must be positive.

Answer:

329/9, the answer seems wrong but I triple checked because I thought so too. The answer is 100% correct

Step-by-step explanation:

Angle EFG + Angle FGH + Angle GEF = 180 degrees

(2x+1) + (6x+2) + (x + 19) = 180 degrees

9x + 22 = 180 degrees

9x = 158 degrees

x= 158/9

x+19 = Angle GEF

158/9 + 19 = Angle GEF

329/9 =Angle GEF

Double check:

(2x+1) + (6x+2) + (x + 19), x=158/9

2(158/9) + 1 = 325/9

6(158/9) +2 = 322/3

(158/9) +19 = 329/9

325/9 + 322/3 + 329/9 = 180

Answer:

The three angles are 40°, 75°, 65°

Step-by-step explanation:

Assume that the first angle is x

∵ The second angle is 35° more than the first angle

∴ The second angle is x + 35

∵ The third angle is 25° more than the first angle

∴ The third angle is x + 25

∵ The sum of the angles of a triangle is 180°

→ Add the three angles and equate the sum by 180°

∵ x + x + 35 + x + 25 = 180

→ Add the like terms in the left side

∴ (x + x + x) + (35 + 25) = 180

∴ 3x + 60 = 180

→ Subtract 60 from both sides

∴ 3x + 60 - 60 = 180 - 60

∴ 3x = 120

→ Divide both sides by 3 to find x

∴ x = 40

→ Find each angle by substitute x by 40

∵ First angle = x

∴ The first angle = 40°

∵ Second angle = x + 35

∴ The second angle = 40 + 35 = 75°

∵ Second angle = x + 35

∴ The third angle = 40 + 25 = 65°

∴ The three angles are 40°, 75°, 65°

Answer:

Correct

Step-by-step explanation:

Answer:

your right its 19000

Step-by-step explanation:

Answer:

the question is not clear

Answer:

Step-by-step explanation:

the figure is a rectangle and a triangle

the rectangle has the area A=L x W

A=8*10=80ft^2

the triangle has the sides 6 and 8, with a hypothenuse of 10

A=(6*8)/2=24

the total area is 80+24=104 ft^2

Answer:

The answer is 1.99

Step-by-step explanation:

23.88 divided by 12 =1.99 and There are 12 quarts in 3 gallons.Have a nice day❤

Step-by-step explanation:

There are 84% out of 225. First find 10%. To do that divide the number by 10, so 225 ÷ 10 = 22.5 Next, do 22.5 x 8. Then you have 80%. Now, all that is need ed is the 4%. To get that, divide 225 by 100. Multiply the answer by 4 to get the 4%. Add the 80% and the 4% to get your answer. I really hope this helps. answers

Also, since I am just helping, I am un able to give you straight answers. I hope this also helps with work in the future.

Answer:

0.84

Step-by-step explanation:

not for sure but i think im right

Answer:

0.84

Step-by-step explanation:

12 x 0.07 is 0.84

Answer:

C

Step-by-step explanation:

hope this helped. I am in algebra two so you can trust my answer. happy holidays and stay safe