15. Ethan planted sunflowers in different types of soil and measured their growth each week.
Plant 1 started at a height of 10 inches and grew 10 inches per week. Plant 2 started at a
height of 18 inches and grew 8 inches per week. Ethan wants to predict the number of weeks
it will take for the plants to reach the same height.
Ethan concludes that the plants will reach the same height after 50 weeks. Is Ethan correct?
Explain why or why not.

Answer:

-x + 1

Step-by-step explanation:

First, rewrite 2x +3 - 3x + (-2) as 2x +3 - 3x - 2.  Note that +(-2) = -2.

Next, combine like terms.  We get -x + 1.  

Double check to determine whether this is one of the given possible answers.

I think 1700000000000000000

Answer:

QR = 11

Step-by-step explanation:

Q and R are on a vertical line.  Therefore, QR = 9 - (-2) = 9 + 2 = 11

Answer:

You're lucky I have the dot plot, other wise this could not be answered.

Median: 7.5

Mean: 7.5

Yes, they are both 7.5.

Answer:

Part A

2·a + b ≤ 14

Part B

Please find attached the graph of the inequality created with Microsoft Excel

Part C

1) 4 pounds of apples + 8 pounds of bananas

2) 8 pounds of apples + 6 pounds of bananas

Step-by-step explanation:

Part A

The amount Tony has to buy apples and bananas = $14

The cost of apples per pound = $2

The cost of bananas per pound = $1

Let 'a' and 'b' represent the number of apples and bananas Tony buys respectively, we have;

2·a + b ≤ 14

Part B

In order to plot the inequality, we make one of the variables the subject of the inequality as follows;

b ≤ 14 - 2·a

The above inequality can be plotted with Microsoft Excel and the feasible region shaded as shown in the attached diagram

Part C

Two possible combinations of pounds of apples and bananas that Tony can buy are;

1) 4 pounds of apples and 8 pounds of bananas which gives 2 apples and 8 bananas

2) 8 pounds of apples and 6 pounds of bananas which gives 4 apples and 6 bananas

Answer:

4xy + 4x² + 4xz

Step-by-step explanation:

4x(y+x+z)

4xy + 4x² + 4xz

Answer:

4xy+4x^2+4xz

Step-by-step explanation:

You would just factor the first 4x to the rest of the terms and if they are different letters just tack them on at the end, in the case of 4x times x it would square to 4x^2

Answer:

option D

Step-by-step explanation:

Answer:

The line with a slope of 1/2 is steeper

Step-by-step explanation:

Here, we want to get which slope is steeper

mathematically, when we want to know the line that has a steeper slope, we compare the value of the slopes

The line with a slope that is of greater value will be steeper

Mathematically, 1/2 is a greater number than 1/3

That simply means 1/3 is less steep and thus, the line with the slope of 1/2 is the steeper line

Answer:

Pattern A starts at 0 and uses the rule Add 2

Pattern B starts at 0 and uses the rule Add 3.

hope this helps

Answer:

3x - 5

Step-by-step explanation:

Given that f(x) = 5x - 2 and g(x) = 2x+3

f(x) - g(x) = 5x-2 - (2x+3)

Expand

f(x) - g(x)  = 5x - 2 - 2x - 3

Collect like terms

f(x) - g(x) = 5x - 2x -2-3

f(x) - g(x)  = 3x - 5

Hence the required answer is 3x - 5

Answer:

A. meter stick

Step-by-step explanation:

The other answers do not make sense.

B is used to measure liquids.

C is used to measure weight/mass

D is used to measure the ingredients needed for a recipe, usually cooking.

Answer:

-85

Step-by-step explanation:

We are given the equation [tex]E^8_{n=1}[/tex][tex](-2)^{n-1}[/tex] and are asked to evaluate it.

This can be solved using the geometric sequence, but first we have to determine our "r", "n", and [tex]a_{1}[/tex].

Of course [tex]a_{1}[/tex] is equal to 1. Therefore,

[tex]a_{1[/tex] = 1

[tex]r=[/tex]

[tex]n=[/tex]

(-2) is the change per number in the sequence, therefore -2 is our "r".

[tex]a_{1[/tex] = 1

[tex]r=-2[/tex]

[tex]n=[/tex]

The number "8" on [tex]E^8_{n-1}[/tex] represents the "n". Therefore 8 is our "n".

[tex]a_{1}=1[/tex]

[tex]r=-2[/tex]

[tex]n=8[/tex]

Use the geometric sequence sum formula and substitute :

[tex]a_{1} \frac{1-r^n}{1-r}[/tex]

[tex]1* \frac{1-(-2)^8}{1-(-2)}[/tex]

[tex]1* \frac{1-(-2)^8}{1+2}[/tex]

[tex]1* \frac{1-256}{1+2}[/tex]

[tex]1* \frac{-255}{3}[/tex]

[tex]1 * -85[/tex]

[tex]-85[/tex]

Answer:

2970

Step-by-step explanation:

I hope it helped :) if it didnt just message me since in confused whats the dot between the 6.3 and 10²

Answer:

2.97*10^3

Step-by-step explanation:

You have to solve it first so you have 2970 as your answer but you want it in scientific notation. To do this put the decimal after the first number this gives you 2.970. Whenever you need to make the number bigger you use a positive power and whenever you want to make a number smaller you use a negative power. The amount of powers the 10 gets is the amount of times you move it over. You have 2.970 and to get to the original number you need to move it 3 places to the right. Going to the right with your decimal makes it bigger which what you want, so you have 2.970*10^3 as your answer.

Answer:

$2.4

Step-by-step explanation:

2018 June               2017June                    

125                            100

1                                 0.75

Therefore,  3= 100x3/125

=300/125

=$2.4

hope it helps:D

plz mark me as brainliest

Answer:

The answer is 2080x - 9

Hope this helps

Answer:

6

Step-by-step explanation:

The remainder when 8 divides 894 is 6. So, she will be left with 6 flowers.

Answer:

32x - 8

Step-by-step explanation:

A = LW

A = (8x - 2)(4)

A = 32x - 8

Answer:

2,021.07

Step-by-step explanation:

Just because

Answer:

$927.84

Step-by-step explanation:

Answer:

Yes you're right, it does

Answer and Step-by-step explanation:

1. Figure A, B, and C are Parallelograms

2. Figure A and C are Rectangles

3. Figure A is a Square

#teamtrees #PAW (Plant And Water)

Answer:

1) a, b, & c      

2) a & c

3) a & c

Step-by-step explanation:

Answer:

The intermediate step are;

1) Separate the constants from the terms in x² and x

2) Divide the equation by the coefficient of x²

3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression

Step-by-step explanation:

The function given in the question is 6·x² + 48·x + 207 = 15

The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;

6·x² + 48·x + 207 = 15

We get

1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192

6·x² + 48·x = -192

2) Dividing by 6 x² + 8·x = -32

3) Add the constant that completes the square to both sides

x² + 8·x + 16 = -32 +16 = -16

x² + 8·x + 16 = -16

4) Factorize (x + 4)² = -16

5) Compare (x + 4)² = -16 which is in the form (x + a)² = b

Answer:

sides

a=7 (rounded)

b=3 (rounded)

c=8 (rounded)

angles

A=70

B=22.57

C=87.43

Step-by-step explanation:

a .  given

b .  given

c   = a·sin(C)/sin(A)=7.54806

A .  given

B = arcsin (b·sin(A)/a) = = 0.39393 rad = 22.57° = 22°34'13"

C = 180° - A - B = 1.52593 rad = 87.43° = 87°25'47"

Answer:

50%

Step-by-step explanation:

Answer:

$117.13

Step-by-step explanation:

Hope this answers your question and have a great day!

Step-by-step explanation:

[tex] - 5 - ( - 4) = - 5 + 4 = - 1 \\ - 4 - ( - 5) = - 4 + 5 = 1 \\ - 4 - (5) = - 4 - 5 = - 9 \\ 4 - ( - 5) = 4 + 5 = 9[/tex]

Therefore ranking them from least to most:

[tex] - 4 - (5) \\ - 5 - ( - 4) \\ - 4 - ( - 5) \\ 4 - ( - 5)[/tex]

Answer:

it would take 5 dolls cups

Answer:

B. 3

Step-by-step explanation: