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3 years ago

Consider the function ƒ(x) = –x4 + 9. Determine which of the following is its graph, based on end behavior.

Mathematics

1 answer:

JulsSmile [24]3 years ago

6 0

Answer:

Step-by-step explanation:

If the degree of the polynomial is even (positive) ends of the function will either upwards or downwards on axis.

If the coefficient of the leading term of a polynomial is negative, both the ends of the graph will move downwards.

The given function is,

f(x) = -x⁴ + 9

Degree of the polynomial = 4

Coefficient of the leading term = -1

Therefore, ends of the polynomial will open downwards.

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What is the y-intercept of y=3x-5

sleet_krkn [62]

Answer:

0,-5

Step-by-step explanation:

because if you graph it then the y lands on the -5

3 0

3 years ago

Write the number name for 44,080,700 in expanded form

Nastasia [14]

Expanded Form:
40,000,000+4,000,000+80,000+700

3 0

3 years ago

Two cards are drawn without replacement from a standard deck of cards. What is the probability that the second one is a black ca

forsale [732]

Answer:

The probability is 169/2652

Step-by-step explanation:

The number of cards in a deck of cards is 52

In each deck of cards, there are 13 black cards and 13 spade cards

The probability of selecting a spade card will be;

13/52 = 1/4

Without replacement, we are left with 51 cards and the probability of selecting a black card will now be 13/51

So the probability of the second card being a black card if the first is spade will be ;

13/52 * 13/51

= 169/2,652

4 0

3 years ago

A pathway made of slate tiles measures 5 1/3 yards long. A tile measuring 2 feet is added to the end of the pathway.

balu736 [363]

The answer is 7 1/3 ft

3 0

2 years ago

Find the exact length of the third side. 52 48

oksano4ka [1.4K]

Answer:

<h3>Here in diagram </h3>

this is a Right angled triangle
where
hypontenuse =h=52
Base=b=48

We need to find

perpendicular =p

According to Pythagorean theory

${\boxed{\sf h^2=p^2+b^2}}$

$\qquad\quad {:}\longrightarrow\tt p^2=h^2-b^2$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt {h^2-b^2}$

Substitute the values

$\qquad\quad {:}\longrightarrow\tt p=\sqrt{52^2-48^2}$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt {2704-2304}$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt{400}$

$\qquad\quad {:}\longrightarrow\tt p=20$

8 0

3 years ago