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3 years ago

A quadradic polynomial has a degree of 2 true or false

Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

Answer: True

Step-by-step explanation:

We know that the quadratics polynomials have this form:

$f(x)=ax^2+bx+c$

You need to remember that the degree of a polynomial is given by its highest exponent.

You can observe in the quadratic polynomial $f(x)=ax^2+bx+c$ that the highest exponent is "2", which is the exponent of the term $ax^2$

Therefore, since the highest exponent is "2", you should conclude that the degree of the polynomial is 2.

Then, you can say that a quadradic polynomial has degree 2.

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Graph the function f(x) = (x + 1)(x - 5). Use the drop-

hodyreva [135]

Answer:

3) (2,-9)

4) (0,-5)

5) (1,-8)

Step-by-step explanation:

The vertex will occur between you x-intercepts.

You already found that happens at x=2.

To find the corresponding y-coordinate, replace x in

f(x)=(x+1)(x-5) with 2:

f(2)=(2+1)(2-5)

f(2)=(3)(-3)

f(2)=-9

So the vertex is (2,-9).

The y-intercept is when x=0.

So in f(x)=(x+1)(x-5) replace x with 0:

f(0)=(0+1)(0-5)

f(0)=(1)(-5)

f(0)=-5

So the y-intercept is (0,-5).

To find another point just plug in anything besides any x already used.

We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.

So replace x in f(x)=(x+1)(x-5) with x=1:

f(1)=(1+1)(1-5)

f(1)=(2)(-4)

f(1)=-8

So another point to graph is (1,-8).

7 0

3 years ago

A recipe requires 31 cup of milk for each 41 cup of water. How

avanturin [10]

Step-by-step explanation:

here,

31 cup of milk require 41 cup of water.

1 cup of milk require 41/31 cup of water.

so, 41/31 cup of water is required for 1 cup of milk.

hope u get it..

6 0

3 years ago

True or False, when graphing an inequality that has no solutions, you shade the entire number line.

Over [174]

Answer:

True or False

2. When graphing inequalities, a dashed line is used for < or > signs.

True or False

3. If you were to graph x > 6, the circle would be closed and to the left.

True or False

4. On a number line, if you were to graph an equation with a less than sign or a great than sign, < or > respectively, you would use an open circle

True or False

6 0

3 years ago

Solve for p. i = prt p = i-rt p = i/(rt) p = (rt)/i

Debora [2.8K]

Answer:

Step-by-step explanation:

$i=prt\to prt=i\qquad\text{divide both sides by}\ rt\neq0\\\\\dfrac{prt}{rt}=\dfrac{i}{rt}\\\\p=\dfrac{i}{rt}$

5 0

3 years ago

Select the correct answer.

tino4ka555 [31]

Answer:

A . The inequality sign always opens up to the larger number.

Step-by-step explanation:

4 0

3 years ago