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3 years ago

What is the end behavior of f(x)= -4x^6+6x^2-52

1 answer:

4 0

End behavior is the direction the line points at both end of the graph, the end behavior for your question is : same end behavior because the leading term has the power of 6..... the line both point downwards because the leading term(-4) is negative, if the leading term is positive then the lines would point upward....if the leading term has an odd power like 3 or 5 it would be opposite end behavior

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The Lynx star middle linebacker, Nat, is paid $500,000. He is guaranteed a 25% raise for each of the next three years. What will

shutvik [7]

Answer:

Nat's salary after 3 years = 976562.5 $

Explanation:

Salary of Nat = $500,000

Raise in salary for next three years = 25 % = 0.25

Salary of Nat after 1 year = 500,000 + 0.25 * 500,000 = 625000 $

Salary of Nat after 2 years = 625000 + 0.25 * 625000 = 781250 $

Salary of Nat after 3 years = 781250 + 0.25 * 781250 = 976562.5 $

So, Nat's salary after 3 years = 976562.5 $

Easy Method;

No of years considering = 3

Initial salary = $500,000

Rate of increase = 0.25

Final salary $= 500,000(1+0.25)^3=976562.5$ $

Nat's salary after 3 years = 976562.5 $

3 0

3 years ago

R = 3.7 m.<br> Calculate the circumference of the circle.

Ksivusya [100]

Answer: 23.25m

Step-by-step explanation:

C=2πr=2·π·3.7≈23.24779m

3 0

2 years ago

Please help solve this SAT math problem. I have 4 more like these so need help with this so that I can solve the rest by myself.

stealth61 [152]

The notation just means

(f/g)(-4) = f(-4) / g(-4)

If f(x) = x² + 2 and g(x) = 1 - 3x, then

f(-4) = (-4)² + 2 = 16 + 2 = 18

g(-4) = 1 - 3 (-4) = 1 + 12 = 13

and so

(f/g)(-4) = 18/13

8 0

2 years ago

laiz [17]

Answer:

B) 0.02

Step-by-step explanation:

<u>Use the Binomial Theorem</u>

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208$

We have the probability of success, $p=0.30$ , and the probability of failure, $q=1-0.30=0.70$ . The binomial coefficient, $\binom{n}{k}$ , represents the amount of possible combinations that $k$ items can be chosen out of $n$ items, with its respective formula $\frac{n!}{k!(n-k)!}$ .

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

7 0

2 years ago

In a certain fraction, the numerator is 4 less than the denominator. If 4 is added to both the numerator and the denominator , t

love history [14]

Answer:

Step-by-step explanation:

If the new fraction is 8/12 I will show how to find it.

Let's say the original denominator is x, then the numerator is x-4, so we have (x-4)/x.

Then it says f we add 4 to both, so now we have x/(x+4) this equals 8/12. Now, keep in mind -4 cannot be an answer because it would make x/(x+4) be divided by 0 which wouldn't exist.

Now we just use algebra.

x/(x+4) = 8/12

12x = 8(x+4)

12x = 8x + 32

4x = 32

x = 8

So the original fraction (x-4)/x = (8-4)/8 = 4/8

5 0

3 years ago