The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope of the line? Tell what it means in the problem situation. The graph is ( 50, 70 ) ( 25, 35 )

Answer:

7

Step-by-step explanation:

1/3 of 6=2

2+5=7

Given:

[tex]f(x)=12(0.82)^x[/tex]

where, f(x) is the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.

To find:

The remaining mg in her bloodstream after 2 hours.

Solution:

The amount of a 12-mg dose of antibiotic left in her bloodstream after x hours is represented by the function

[tex]f(x)=12(0.82)^x[/tex]

Putting x=2, we get the remaining mg in her bloodstream after 2 hours.

[tex]f(2)=12(0.82)^2[/tex]

[tex]f(2)=12(0.6724)[/tex]

[tex]f(2)=8.0688[/tex]

Therefore, the remaining mg in her bloodstream after 2 hours is 8.0688 mg.

Answer:

8.07

Step-by-step explanation:

...

Answer:

75

Step-by-step explanation:

300% of 25 = [tex]\frac{300}{100}*25[/tex]

                   = 3 * 25

                  = 75

Answer:

Step-by-step explanation:

(

9

+

3

)

+

(

7

+

4

)

(9+3n)+(7+4a)

(9+3n)+(7+4a)

Simplify

1

Rearrange terms

(

9

+

3

)

+

(

7

+

4

)

({\color{#c92786}{9+3n}})+(7+4a)

(9+3n)+(7+4a)

(

3

+

9

)

+

(

7

+

4

)

({\color{#c92786}{3n+9}})+(7+4a)

(3n+9)+(7+4a)

2

Rearrange terms

3

Eliminate redundant parentheses

4

Add the numbers

5

Rearrange terms

Solution

4

+

3

+

1

6

Answer:

It is not proportional.

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

The markup would be 37.5%. 80-50 = 30. If you set up the  

proportion, is/of = %/100, it would be 30/80 = %/100. Multiply  

30*100. = 3,000. Divide this by 80 and you get 37.5.

Answer:

x=-2

Step-by-step explanation:

-5x-2=-2x+4

+2     +2

__________________-

-5x=-2x+6

+2x   +2x

_______________-

-3x=6

÷-3   ÷-3

___________________

x=-2

Hope this helps ∞<3

Answer:

Step-by-step explanation:

Standard form:

−3x − 6 = 0

Factorization:

−3(x + 2) = 0

Solutions:

x = −6 /3  = −2

x=-2

y=0

Answer: It will take 15 weeks for Cyndi and her sister to have the same amount of money.

Step-by-step explanation:

Given: Cyndi has $55. Her sister has $115.

Cyndi saves $10 per week. Her sister saves $6 per week.

Let x= Number of weeks.

Total amount of money Cyndi has = 55+10x            (i)

Total amount of money sister has = 115+6x              (ii)

From (i) and (ii) , we get

[tex]55+10x=115+6x\\\\\Rightarrow\ 10x-6x=115-55\\\\\Rightarrow\ 4x=60\\\\\Rightarrow\ x=\dfrac{60}{4}\\\\\Rightarrow\ x=15[/tex]

Hence, it will take 15 weeks for Cyndi and her sister to have the same amount of money.

Answer:

They will both owe their parents $200 when Casey is paying his 5th month and Sally is paying on her 5th month.

Step-by-step explanation:

If Casey pays 60 dollars after 5 months, he will have payed $300 dollars. He still needs to pay $200.(500-300) If Sally pays 80 dollars after 5 months, she will have payed $400 dollars. She still needs to pay $200. (600-400)

Answer:

The distance of QR is 54 units

Step-by-step explanation:

In the isosceles triangle, The height drawn from the vertex angle to the base bisects the base

In ΔPQR

∵ PQ = PR

∴ Δ PQR is an isosceles triangle

∵ P is the vertex angle

∵ QR is the base

∵ PS ⊥ QR

→ By using the fact above

∴ PS bisects QR

∴ S is the midpoint of QR

→ That means S divided QR into 2 equal parts QS and SR

∵ QS = SR

∵ QS = 6n + 3

∵ SR = 4n + 11

→ Equate them to find n

∴ 6n + 3 = 4n + 11

→ Subtract 4 n from both sides

∵ 6n - 4n + 3 = 4n - 4n + 11

∴ 2n + 3 = 11

→ Subtract 3 from both sides

∵ 2n + 3 - 3 = 11 - 3

∴ 2n = 8

→ Divide both sides by 2

∴ n = 4

→ Find the length of QS by substitute x in its expression by 4

∵ QS = 6(4) + 3 = 24 + 3

∴ QS = 27

∵ QS = SR

∴ SR = 27

∵ QR = QS + SR

∴ QR = 27 + 27

∴ QR = 54 units

∴ The distance of QR is 54 units

Answer:b

Step-by-step explanation:

Its correct

Answer:

y=6

x=0

Step-by-step explanation:

X=(y-6)

y=(6-3x)

So For Y

y=6-3(y-6)

y=6-3y+18

add three so it would be 4y=6+18 which then equal 4y=24 then divide 4 then you'll have 6

and for X just plug in whats in (y)

x=(6-3x)-6

So again add 3x to both side to get 4x=6-6 which equal 0 then answer is 4x=0 divide 4 get 0

Answer:

answer is A

Step-by-step explanation:

8/3 =   2.66666 (about 3) miles an hour

You want to find miles per an hour as the unit rate, so divide the total miles CJ walks by how long it took him

Hope this helps! :))

Answer:

the answer is b. -2. :)

Step-by-step explanation:

i took the test, i hope this helps <3

Answer:

When f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.

Step-by-step explanation:

In other words, the rule is:

Given the function

[tex]f(x)=x[/tex]

Thus, when f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.

In the graph, the red line is representing the parent function f(x) and the blue line is representing the effect on the graph i.e. f(x+5).

Answer: Doubling the red marbles means that each 2 red marbles will be replaced by 4 red marbles. So after doubling the red marbles for each 3 blue marbles there will now be 4 red marbles, giving a new ratio of 3:4.

Answer:

Step-by-step explanation: number 1 is x <-15 because first simplify both sides of equation -1/5 x > 3 then multiple both sides by 5/(-1) (5/-1) x (-1x5) > (5/-1) x (3) which x < -15

Answer:

C: x: 5, 2, 6, 4, 1, 3; y: 2, 2, 2, 2, 2, 2

Step-by-step explanation:

Things that can represent a function of x has to be able to be shown in the form of a function, such as "y =" or "f(x) =". I'm guessing you're learning about linear lines, so I'm going to talk about this with linear lines.

A linear line must be straight and for y to be represented as a function of x, it has to have a constant increase or decrease for every x. Here is how to identify non-function lines:

- If there are different y values for the same x value

- If the points in order do not create a straight line

- If the points in order do not have a repeating pattern

To identify a function, look for:

- Straight lines

- An actual written function (such as "y =" or "f(x) =")

- A pattern on a table

Now, the pattern you're going to be looking for on a linear table is an addition or subtraction one for every x. If the x values are in order, then for every 1 x, there should be a constant addition or subtraction to the y.

Here's an example of a table that represents y as a function of x:

- X: 1  2  3  4  5  

- Y: 3  5  7  9  11

- Pattern: +2 y for every x with constant 1

- X: 3  1   5    4   7  

- Y: 9  3  15  12  21

- Pattern: +3 y for every x with constant 0

Here's an example of a table that doesn't represent y as a function of x:

- X: 1  2  3  4  5  

- Y: 2  5  8  2  4

- Pattern: None

- X: 3 1 5 1 7  

- Y: 1 7 8 9 4

- Pattern: None

9514 1404 393

Answer:

  Table C

Step-by-step explanation:

A relation is not a function if any input value (x) is repeated.

  A) 3 is a repeated x-value

  B) 5 is a repeated x-value

  C) no repeated x-values; the function you are looking for

  D) 2 is a repeated x-value

Answer:

twelv

Step-by-step explanation:

12

Answer:

12

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 8 on the left side and the dividend 96 on the right side like this:

8 ⟌ 9 6

Step 2:

The divisor (8) goes into the first digit of the dividend (9), 1 time(s). Therefore, put 1 on top:

1

8 ⟌ 9 6

Step 3:

Multiply the divisor by the result in the previous step (8 x 1 = 8) and write that answer below the dividend.

1

8 ⟌ 9 6

8

Step 4:

Subtract the result in the previous step from the first digit of the dividend (9 - 8 = 1) and write the answer below.

1

8 ⟌ 9 6

- 8

1

Step 5:

Move down the 2nd digit of the dividend (6) like this:

1

8 ⟌ 9 6

- 8

1 6

Step 6:

The divisor (8) goes into the bottom number (16), 2 time(s). Therefore, put 2 on top:

1 2

8 ⟌ 9 6

- 8

1 6

Step 7:

Multiply the divisor by the result in the previousy step (8 x 2 = 16) and write that answer at the bottom:

1 2

8 ⟌ 9 6

- 8

1 6

1 6

Step 8:

Subtract the result in the previous step from the number written above it. (16 - 16 = 0) and write the answer at the bottom.

1 2

8 ⟌ 9 6

- 8

1 6

- 1 6

0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 96 divided by 8 calculated using Long Division is:

12

0 Remainder

Answer:

3.74

Step-by-step explanation:

Answer:

Step-by-step explanation:

is 1.3 units from 0.4 on a number line. __is 1.3 units from 0.4

Answer:

If you want to find the slope the answer is (2,7)that's the final answer

Answer:

x-intercept = (18/5,0)

y-intercept = (0,-2)

Step-by-step explanation:

I graphed it and found the intercepts

brainliest would be great

Answer:

C

Step-by-step explanation:

28c +12 +5 which is the answer choice C

Answer:he usual assumption is that there is a 50% chance of heads on each toss of each coin. So, the chances of getting at least two heads when tossing three coins at the same time is 4/8 (Because all the 8 possibilities are equally likely) 50 percent.

Step-by-step explanation:

Answer:

N2

Step-by-step explanation: