All categories

2 years ago

Which statements are true about the graphs of all nth degree polynomials?

Mathematics

2 answers:

vova2212 [387]2 years ago

6 0

The statements are true about the graphs of all nth degree polynomials are B and D.

B. It goes up and down at most a total of n times.

D. The number of x-intercepts is at most n.

vagabundo [1.1K]2 years ago

5 0

<h2>Answer:</h2>

The statement that is true about the graphs of all nth degree polynomials is:

B.) It goes up and down at most a total of n times.

D.) The number of x-intercepts is at most n.

<h2>Step-by-step explanation:</h2>

We know that the number of times the graph goes up and down depends on the number of distinct zeros of a polynomial and as we know that a polynomial of nth degree may have repetitive zero.

Hence, the graph of nth degree polynomial goes up and down at most a total of n times.

Also, the number of x-intercept is the x-value of the point where the function is zero i.e. it depends on the number of zeros of polynomial.

Hence, The number of x-intercepts is at most n.

Also, the end behavior of graph depends on degree as well as sign of the leading coefficient.

Hence, correct options are:

Option B and option: D

You might be interested in

There are 16 cats and 14 dogs in a local animal shelter. Which phrase describes a ratio relationship between the two quantities?

Tcecarenko [31]

They are comparing the number of cats in teh shelter to the number of dogs in the shelter.

6 0

2 years ago

Read 2 more answers

A giraffe measures 17 feet tall . A gorilla mesures 63 inches tall. How many feet taller is the giraffe than the gorilla

9966 [12]

Answer:

11.75 feet

Step-by-step explanation:

17 times 12 = 204 inches

204 - 63 = 141 inches

141/12 = 11.75 feet

4 0

2 years ago

Jerry takes trail max on Hikes. a package of dried apricots weighs 49.5 ounces. a package of sunflower seeds weighs 45 ounces. J

Marianna [84]

Apricots has .75 ounces more than sunflower seeds

4 0

2 years ago

Jeanne makes hair bows to sell at the craft fair. Each bow requires 1.5 yards of ribbon. If Jeanne wants to make 84 bows, how ma

mina [271]

Answer:

Jeanne must buy <u>378 feet</u> of ribbons to make 84 bows.

Step-by-step explanation:

Given:

Each bow required = 1.5 yards of ribbon

Number of bow to make = 84

We need to find the length of ribbon in feet to make 84 bows.

Solution:

First we will find length of ribbons in yards required to make 84 bows .

Now we know that;

1 bow =1.5 yards of ribbons

84 bows = length of ribbons in yards

By using Unitary method we get;

length of ribbons in yards = $1.5\times 84 = 126\ yards$

Now we know that;

1 yard = 3 feet

126 yard = length of ribbons in feet

Again by using Unitary method we get;

length of ribbons in feet to make 84 bows = $126 \times 3 = 378\ ft$

Hence, Jeanne must buy <u>378 feet</u> of ribbons to make 84 bows.

7 0

2 years ago

Jude says that the volume of a square pyramid with base edges of 9.7 in and a height of 9 in is equal to the volume of a cylinde

earnstyle [38]

Answer:

The correct option is;

Yes, his calculations are correct and the volumes for figures are equal

Step-by-step explanation:

The volume, V, of a square (of side s) pyramid of height h = $\frac{1}{3} \times s^2 \times h$

Where:

s = 9.7 inches

h = 9 inches

We have;

$V = \frac{1}{3} \times 9.7^2 \times 9 = \frac{1}{3} \times 94.09 \times 9 = \frac{1}{3} \times 846.81 = 282.27 \approx 282 \ in^3$

The volume, $V_c$ , of a cylinder of radius r = Base area × Height, h = (π×r²)×h

Where:

Base area = π×r²

r = Radius of the cylinder = 5.47 inches

h = Height of the cylinder = 3 inches

$V_c$ = π × 5.47² × 3 = π × 29.9209 × 3 = π × 89.7627 = 281.998 ≈ 282 m³

Therefore, Jude is correct.

4 0

2 years ago