Find the inverse of the following functions algebraically

Answer:

I think the answer is 15/40

Step-by-step explanation:

So basically this  looks like reducing. So first from the three-eights divide the fifteen by three that is 5. So then multiply 8 by 5 and a is = 40

proof divide 40 by 8

Tom sent 16 roses to his wife

Step-by-step explanation:

20/1.25=16

Answer:

a) The unit rate are:

Batch A = 3 3/4 flour per cup of chocolate chips

Batch B = 4 flour per cup of chocolate chips.

b)Batch A is the cookie with the most chocolate chips.

Step-by-step explanation:

In batch A you use 3/4 of a cup of flour to every 1/5 of a cup of chocolate chips.

The unit rate for flour per cup of chocolate chips for batch A =3/4 cups of flour ÷ 1/5 cup of chocolate chips

= 3/4 ÷ 1/5

= 3/4 × 5/1

= 15/4

= 3 3/4 flour per cup of chocolate chips.

In batch B you use 2/3 of a cup of flour for every 1/6 of a cup of chocolate chips.

The unit rate for flour per cup of chocolate chips for batch B =

2/3 of a cup of flour ÷ 1/6 of a cup of chocolate chips.

= 2/3 ÷ 1/6

= 2/3 × 6/1

= 4 flour per cup of chocolate chips.

b)

Number of chocolate chips used in Batch A = 1/5 cup =>0.2 cup

Number of chocolate chips used in Batch B = 1/6 cup => 0.167 cup

0.2 cup is larger than 0. 167 cups.

Therefore, Batch A is the cookies with the most chocolate chip

Answer:

8 3/4 (8.75)

Step-by-step explanation:

I divided 35 by 4 on a calculator to get 8.75

I know that 8.75 is the same as 8 3/4

So, say you're dividing 35 jellybeans with 3 of your friends (you're the fourth person, because you need some jellybeans too!)

Each would get 8 jellybeans. But there are 3 left over.

Split each jellybean into 4 parts.

Each of you would get 3/4 of one of the jellybeans. (three tiny parts of the total four tiny pieces)

Hope I helped :)

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Answer:

10

Step-by-step explanation:

Here we go!

Slope Formula:

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]

What we know: (-4, -52) and (-1, -22)

Plug in the numbers!

[tex] \frac{ - 52 - ( - 22)}{ - 4 - ( - 1)} [/tex]

Fix it!

[tex] \frac{ - 52 + 22}{ - 4 + 1} [/tex]

Add

[tex] \frac{ - 30}{ - 3} [/tex]

Divide

(negative divided by a negative is a positive!!)

Slope is 10

Hope this helps!

Answer:

1) 5 & 9

5=Corresponding Angle

9=Alternate Exterior Angle

2) 7 & 8

We know 4 is supplementary to 8.  Since that is true, 7 & 8 are also.

8=Corresponing angle to 4

7=Verticle angle to 8

3) We know 1 and 3 equal 180

x-20+x+40=180

2x+20=180

2x=180-20

2x=160

x=80

<2=X+20

=80+20

=100

Angle 2 is the same as angles 5 and 6 added together.

We know angle 5 is the same as angle 1 (corresponding angles).

<1=X-20

=80-20

=60

Now that we know <2=100 and <5=60, we can figure out <6

100-60=40

<6=40°

Step-by-step explanation:

1) 5 & 9

5=Corresponding Angle

9=Alternate Exterior Angle

2) 7 & 8

We know 4 is supplementary to 8.  Since that is true, 7 & 8 are also.

8=Corresponing angle to 4

7=Verticle angle to 8

3) We know 1 and 3 equal 180

x-20+x+40=180

2x+20=180

2x=180-20

2x=160

x=80

<2=X+20

=80+20

=100

Angle 2 is the same as angles 5 and 6 added together.

We know angle 5 is the same as angle 1 (corresponding angles).

<1=X-20

=80-20

=60

Now that we know <2=100 and <5=60, we can figure out <6

100-60=40

<6=40°

Answer:

Equals

Step-by-step explanation:

You need to know the conversion rate for tons to pounds. 1 ton is equal to 2000 lbs so the answer is =.

Answer:

855

Step-by-step explanation:

1.9 seconds is 19 tenths, so that means we add using the information given, which is that the ball travels 5 fewer inches every tenth of a second:

Time | Inches traveled

0.1     | 90

0.2    | 85

0.3    | 80

0.4    | 75

0.5    | 70

0.6    | 65

0.7    | 60

0.8    | 55

0.9    | 50

1.0     | 45

1.1      | 40

1.2     | 35

1.3     | 30

1.4     | 25

1.5     | 20

1.6     | 15

1.7     | 10

1.8     | 5

1.9     | 0

90+85+80+75+70+65+60+55+50+45+40+35+30+25+20+15+10+5+0=855

Answer:

-8i

Step-by-step explanation:

Answer:

(-8 - 3i) - (-8 + 5i) = −8i

Step-by-step explanation:

Answer:

RT = 12 units

Step-by-step explanation:

From the figure attached,

ΔSRQ is right triangle.

m∠R = 90°

An altitude has been constructed from point T to side SQ.

m∠RTQ = 90°

By applying geometric mean theorem in triangle SRQ,

[tex]\frac{\text{RT}}{\text{ST}}=\frac{\text{TQ}}{\text{RT}}[/tex]

[tex]\frac{x}{9}=\frac{16}{x}[/tex]

x² = 16 × 9

x² = 144

x = √144

x = 12

Therefore, length of altitude RT is 12 units.

Answer:

12 units

Step-by-step explanation:

Answer:

Original rectangle

Length = 20 inches

Width = 10 inches

Step-by-step explanation:

Let

Original rectangle

Width = x

Length = 2x

When both the width and length are increased by 5 inches, the new rectangle has perimeter of 80 inches

New rectangle

Width = x + 5

Length = 2x + 5

Perimeter = 80 inches

Perimeter of a rectangle = 2(length + Width)

80 = 2{(x+5) + (2x+5)}

80 = 2( x + 5 + 2x + 5)

80 = 2(3x + 10)

80 = 6x + 20

80 - 20 = 6x

60 = 6x

x = 60 / 6

= 10

x = 10 inches

The length and width of the original rectangle

Width = x

= 10 inches

Length = 2x

= 2(10)

= 20 inches

Hi! here your answer

Answer:

If D≥0, then the roots are real and distinct.

If D=0, then the roots are real and equal.

If D≤0, then no real roots exist

Hope you understood!

Answer:

Number 2

Hope I get brainliest.... PLEASE

Answer: 17.68

Step-by-step explanation: just add the taxes, this is your final sale price.

Answer:

The answer is B

Step-by-step explanation:

If you look at the problem you can put 12 and 20 into a ratio like this

12:20

then if you simplify it by like terms say 4

12 divided by 4 is 3

20 divided by 4 is 5

3:5

= B

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

Explanation:

This sequence is arithmetic

The first term is a = -9

The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)

Plug those values into the arithmetic nth term formula below

an = a + d*(n-1)

an = -9 + 6*(n-1)

an = -9 + 6n-6

an = 6n - 15

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

As a check, let's plug in something like n = 1

an = 6n - 15

a1 = 6*1 - 15

a1 = 6 - 15

a1 = -9

We see that the 1st term is -9, which matches the sequence given

Now let's plug in n = 2

an = 6n - 15

a2 = 6*2 - 15

a2 = 12 - 15

a2 = -3

The 2nd term is -3. This also matches.

I'll let you check the other values of n to confirm the answer.

Answer:

Domains: 1, 2, 3, 4, 5

Ranges: 2, 4, 6, 8, 10

Step-by-step explanation:

Domain is the x and range is the y

Answer:

3. 1 1/2

Step-by-step explanation:

Answer:

y-3 = (-1/4)(x-4)

Step-by-step explanation:

Point-slope form is written as y-y1 = m(x-x1)

The y - 3 portion comes from the coordinate plotted, where the y-coordinate is 3, so from the function y-y1, y1 = 3.

The m equals the slope, the rise over run. Choose the two coordinates, subtract the y's from each other and the x's from each other, get the absolute value of them, and then put in the fraction (y/x) to get your slope of m. The 2 coordinates you have are (0,4) and (4,3). You subtract |4-0| and |3-4|, so you get for the x's = 4, and the y's=1.  Now the slope was y/x, so 1/4 is your slope for m.

For the x, use the same coordinate you got for your y to get your x, so the x was 4.

Plug them all into the point-slope function to get your answer, which is y - (3), (-1/4) (x - [4])

Answer:

B

Step-by-step explanation:

Answer:

Jill will pay $64.50

Step-by-step explanation:

If you divide $43 by 8 you get 5.375. You then multiply that by 12 and get $64.50

Answer:

36 - 0.12h < 12 - 0.6h

Step-by-step explanation:

Large bucket:

36 gallons and is leaking at a rate of 0.12 gallons per hour.

= 36 - 0.12h

Smaller bucket:

12 gallons and is leaking at a rate of 0.6 gallons per hour

= 12 - 0.6h

The inequality that can be used to find the number of hours, h, at which the larger bucket will have less water than the smaller bucket is

36 - 0.12h < 12 - 0.6h

Answer:

x = 6

Step-by-step explanation:

8 = (x/2) + 5

subtract 5 by both sides

3 = (x/2)

multiply by 2 on both sides

6 = x

Answer:

2x-3+8v

Step-by-step explanation:

Answer:

Assuming we are simplifying, it should be 2x+5

Step-by-step explanation:

Combine like terms.

8-3 is 5

4x-2x is 2x

So yeah

Answer:

Frame 1 to Frame 2:

Translation (x,y) to (x,-y)

Frame 2 to Frame 3:

Rotation R₉₀

Frame 3 to Frame 4:

Translation (x,-y) to (x,y)

Step-by-step explanation:

I know this very well :)

Answer:

y=1x-4

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=1(x-5)+1

1x-5+1

y=1x-4 (y=mx+b)

Given Data:

medical insurance paid = 100%.

rent = $800.

Car payment = $600.

Light bill = $100.

Car insurance = $300.

Taxes = $287.

Solution:

Minimum salary to bear all expenses is

S = Basic expenses + Payroll and taxes

S = $( 800 + 600 + 100 + 300 + 287)

S = $2087.00

His monthly salary is $2087.00 .

This is the required amount needed.