All categories

3 years ago

Consider the graph of the polynomial function below.

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

5 0

Answer:

The degree of the polynomial is even.
The leading coefficient is positive.
The polynomial has four zeros.

Step-by-step explanation:

As shown at the graph

The polynomial function intersects with x-axis at 4 points and opens up.

So, we can deduce that:

1) The degree of the polynomial is the fourth degree because it have 4 points of intersection with the x-axis

So, The degree of the polynomial is even

2) As the curve opens up ⇒ The leading coefficient is positive

Leading coefficients are the numbers written in front of the variable with the largest exponent.

3) The polynomial has four zeros because it have 4 points of intersection with the x-axis

The zeros of the polynomial are the values of x at which y = 0

You might be interested in

Can anyone help me please

Nitella [24]

Answer:

13.075

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Can someone help me please <br> Brainiest answer to whoever is first

KiRa [710]

Answer:

Step-by-step explanation:

Surface area of small box = 2(4×10) + 2(4×14) + 2(10×14)

= 2(40+56+140)

= 472 cm²

Surface area of large box = 2(4×20) + 2(4×14) + 2(20×14)

= 2(80+56+280)

= 832 cm²

832 - 472 = 360 cm²

Answer: C

5 0

3 years ago

An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of minera

atroni [7]

Answer:

The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

$Cost = 51.275$

Step-by-step explanation:

The given parameters can be summarized as:

$\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}$

Where: x = Soybeans and y = Oats.

So, the system of equations are:

$70x + 21y = 168$

$9x +7y = 27$

$7x + y = 14$

$Cost = 21x + 7y$

The best way to solve this, is using graph

Plot the following equations on a graph, and get the points of intersection:

$70x + 21y = 168$

$9x +7y = 27$

$7x + y = 14$

From the attached graph, we have:

$(x_1,y_1) = (1.636,2.545)$

$(x_2,y_2) = (1.775,1.575)$

$(x_3,y_3) = (2.023,1.256)$

Substitute each of the values of x's and y's in the cost function to get the minimum cost:

$Cost = 21x + 7y$

$(x_1,y_1) = (1.636,2.545)$

$Cost = 21 * 1.636 + 7 * 2.545$

$Cost = 52.171$

$(x_2,y_2) = (1.775,1.575)$

$Cost = 21 * 1.775 + 7 * 1.575$

$Cost = 48.3$

$(x_3,y_3) = (2.023,1.256)$

$Cost = 21 * 2.023 + 7 * 1.256$

$Cost = 51.275$

The values of x and y that gives the minimum cost is:

$(x_2,y_2) = (1.775,1.575)$

and the minimum cost is:

$Cost = 48.3$

Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

5 0

3 years ago

Loagn used the net below to design a nylon tent

kumpel [21]

Answer:

Part A: The tent is shaped like a square pyramid

Part B: a 36ft tent

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

I need help ASAP people :-)

ladessa [460]

12.5 - 8.5 = 4

4/12.5 = 0.32

0.32 • 100 = 32

Answer: 32%

4 0

4 years ago