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3 years ago

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Mathematics

1 answer:

Tamiku [17]3 years ago

4 0

Answer:

D. x + 6

Step-by-step explanation:

In the given graph, we have 3 x-intercepts values, which are points at which the line intercepts the x-axis. They are, -6, -3 and 0.

Each of these x-intercepts can be written as a factor of a polynomial function as follows:

x = -6

x = -6 + 6

x + 6 = 0

x = -3

x = -3 + 3

x + 3 = 0

x = 0

Therefore, the factor of the polynomial function must be: x + 6

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Precalculus PLEASE HELP ME right answers only check all please

Alex_Xolod [135]

Given :

$cos(x)cos(\frac{\pi }{7}) + sin(x)sin(\frac{\pi }{7})=-\frac{\sqrt{2}}{2}$

We know the identity

$cos(x)cos(y) + sin(x)sin(y)=cos(x-y)$

We use this property to simplify the left hand side

So $cos(x)cos(\frac{\pi }{7}) + sin(x)sin(\frac{\pi }{7})=cos(x - \frac{\pi }{7})$

$cos(x - \frac{\pi }{7}) =-\frac{\sqrt{2}}{2})$

we know ,

when $cos(x) =-\frac{\sqrt{2}}{2})$ then

$x = \frac{3\pi }{4} , \frac{5\pi }{4}$

For $cos(x - \frac{\pi }{7}) =-\frac{\sqrt{2}}{2})$

$x - \frac{\pi }{7}= \frac{3\pi }{4} and x - \frac{\pi }{7}= \frac{5\pi }{4}$

Add $\frac{\pi }{7}$ on both sides

$x= \frac{3\pi }{4} + \frac{\pi }{7} and x= \frac{5\pi }{4} +\frac{\pi }{7}$

Finally we add 2npi for general solution

So options C and D are correct

6 0

3 years ago

Evalue without using a calculator

umka2103 [35]

Answer:

square root of 2

Step-by-step explanation:

4 0

3 years ago

Please save my life from fail grades

Harlamova29_29 [7]

1/x is smallest when x is the largest it can be, so it is 1/3

1/y is smallest when y is the largest it can be, so it is 1/5

The average of 1/3 is 1/5 can be found by adding them together and dividing by 2:

1/3 + 1/5 = 5/15 + 3/15 = 8/15

Divide it by 2:

4/15

The answer is C.

5 0

4 years ago

Find the total surface area of the rectangular prism

Mkey [24]

Answer:

124

Step-by-step explanation:

To find the surface area, we add the area from all faces or the prism.

the first face, we can put 8 times 2.5, which is 20. There are two of these faces, so we have 40 in our area so far.

next the other face. 4 times 2.5 is 10, and there are two of these faces. 60 in out area.

now the top and bottom faces. 8 times 4 is 32. there are two of these faces, and 60 +64 = 124

4 0

3 years ago

Convert the following mixed number into improper fraction and vice versa:70/48

Blababa [14]

$\frac{70}{40} \div \frac{2}{2}= \frac{35}{2} = 17 \frac{1}{2}$

5 0

4 years ago