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3 years ago

A polynomial is to be constructed that will touch the x axis at most 8 times. What is the minimum degree of the polynomial?

Mathematics

1 answer:

slamgirl [31]3 years ago

3 0

Every degree is a touching point since each root factor is an x intercept

therefor the answer is 8th degree

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A 50-gallon rain barrel is filled to capacity. It drains at a rate of 10 gallons per minute. Write an equation to show how much

makvit [3.9K]

Answer:

The quantity of water drain after x min is 50 $(0.9)^{x}$

Step-by-step explanation:

Given as :

Total capacity of rain barrel = 50 gallon

The rate of drain = 10 gallon per minutes

Let The quantity of water drain after x min = y

Now, according to question

The quantity of water drain after x min = Initial quantity of water × $(1-\dfrac{\textrm rate}{100})^{\textrm time}$

I.e The quantity of water drain after x min = 50 gallon × $(1-\dfrac{\textrm 10}{100})^{\textrm x}$

or, The quantity of water drain after x min = 50 gallon × $(0.9)^{x}$

Hence the quantity of water drain after x min is 50 $(0.9)^{x}$ Answer

4 0

3 years ago

Read 2 more answers

Write the number equal to 2 tens 15 ones

ivann1987 [24]

I believe it's 15, but correct me if I'm wrong
This is because there is one 10 in 15. This gives you 3 tens and 5 in the ones.

6 0

3 years ago

Read 2 more answers

The elevation of lake sam rayburn is 164 above mean sea level during the summer if it does not rain the elevation of the lake de

andrew-mc [135]

Answer:

I guess that you want to model the elevation of Lake Sam Rayburn.

During the summer, it is 165 ft above the sea level (the sea level is our position 0ft).

If it does not rain, the elevation of the lake decreases by 0.5ft each week.

So if we assume that there is no rain, we can write the elevation fo the lake as a linear relationship with slope equal to -0.5ft and y-intercept equal to 165ft.

L(w) = 165ft - 0.5ft*w

Where w is the number of weeks without rain, if we have 0 weeks without rain, then the level of the lake remains constant at 165ft above sea level,

L(0) = 165ft - 0.

4 0

3 years ago

Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent th

hodyreva [135]

Answer:

There are 6 coins in nickels and 9 coins in quarters.

Step-by-step explanation:

Now, to find the solution.

According to question:

The number of nickels = $x$ .

The number of quarters = $y.$

So, the total number of coins:

$x+y=15.$

He had 3 more quarters than nickels.

Thus,

$y=x+3$ .....(1)

Now, to get the solution:

$x+y=15$

Substituting the equation (1):

$x+(x+3)=15$

$x+x+3=15$

$2x+3=15$

Subtracting both sides by 3 we get:

$2x=12$

Dividing both sides by 2 we get:

$x=6.$

The number of nickels = 6.

Now, substituting the value of $x$ in equation (1):

$y=x+3\\\\y=6+3\\\\y=9.$

The number of quarters = 9.

Thus, there are 6 coins in nickels and 9 coins in quarters.

6 0

3 years ago

Simplify 7 1/3t−(10 2/3t−6) pls

Flura [38]

Answer:

$-\frac{10t}{3}+6$

Step-by-step explanation:

$7 \frac{1}{3}t-(10 \frac{2}{3} t-6)$

Convert $7\frac{1}{3}$ to a mixed number

$7\frac{1}{3}=\frac{7\cdot 3+1}{3}$

$=\frac{22}{3}$

$\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}$

Convert $10\frac{2}{3}$ into a mixed number

$10\frac{2}{3}=\frac{10\cdot 3+2}{3}$

$=\frac{32}{3}$

$\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}$

$=\frac{22t}{3}-\frac{32t}{3}+6$

$\bold{=\frac{-10t}{3}+6}$

Terms

Follow the PEMDAS order of operation:

P = Parenthesis
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction

You do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.

6 0

2 years ago