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2 years ago

Select the expressions that are polynomials.

Mathematics

1 answer:

wolverine [178]2 years ago

3 0

I believe the first and last one are polynomials. Usually they start with the highest exponent first and then work their way down.

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A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t

Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

$\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}$

Use the slope(m) and y-intercept (b) to write the equation:

$\begin{gathered} y=mx+b \\ \\ y=0.22x+17.2 \end{gathered}$ A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

$\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\ \\ y=23.58 \end{gathered}$ Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

$\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\ \\ 58=x \end{gathered}$ Then, after 58 months the tree would be 29.96feet tall

3 0

1 year ago

The dimensions of a rectangle are 20' by 40'. If a model rectangle with a scale of 5' = 10'' is to be made, find the dimensions

VMariaS [17]

20’ / 5’ = 4

4 x 10” = 40”

40’ /5’ = 8

8 x 10” = 80”

Scaled dimension: 40” x 80”

6 0

2 years ago

X squared plus y plus 3 equals 7

3241004551 [841]

X2 + y + 3 = 7
×2 + y = 4

7 0

2 years ago

I roll a four-sided die. The possible outcomes are 1, 2, 3, or 4, depending on the number ot spots on the side of the die that i

Daniel [21]

Answer:

The sample space

Step-by-step explanation:

By definition, the sample space is the set composed by all the possible outcomes of your random variable. In this case, the random variable is 4 sided dice, so the sample space is

$\Omega=\{1,2,3,4\}$

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3 years ago

PLZ HELP NOW! Mandy earns money based on how many hours she works. The following table shows Mandy's earnings. Hours 1 2 3 Earni

vampirchik [111]

Answer:

In khan academy, just plot the points and the answer is yes.

Step-by-step explanation:

Use the table to plot the points and you'll figure out that it's proportional- so the answer to the question below is yes. Doesn't need too much explaining.

8 0

2 years ago