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3 years ago

F(x)= -3x^3-x^2+x-3 identify the end behavior of each polynomial function

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

end behavior is affect by the exponent and whether its negative or positive

y = y^3 starts negative from -∞ to 0 the from 0 to +∞ goes positive

since this equation is negative its switched

-∞ to 0 its positive x>0

0 to +∞ is negative x<0

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800 students are going on a school trip by bus.

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The answer is twenty four

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3 years ago

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4 years ago

The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

The least number of items to produce is 41

8 0

3 years ago

Can somebody help me do this, please

natta225 [31]

Step-by-step explanation:

For the triangle on the bottom right the missing angle is

180- (74+50)= 56°

For the triangle on the bottom left the missing angle is

180- (45+80)= 55°

For the triangle in the middle the missing angle is

180- (54+51)= 75°

For the triangle on top the missing angle is

180- (80+54)= 46°

180- (74+51)= 55°

180- (46+55)= 79°

3 0

3 years ago

6 + (9 − 1) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4

Bas_tet [7]

Answer:

625

Step-by-step explanation:

1. parenthesis first, so it simplifies to ((6+(8)2÷4*1)/2)^4

2. pemdas says that multiplication and division go before addition and subtraction, so ((6+(8)2÷4*1)/2)^4 becomes ((6+16÷4*1)/2)^4 ---> ((6+4)/2)^4

3. then simplify inside of the parenthesis, so it becomes 5^4, which is 625

6 0

3 years ago