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2 years ago

Evaluate 2 X (6÷2 + 8) -4 work it out pls

Mathematics

1 answer:

Allushta [10]2 years ago

3 0

Answer:

Step-by-step explanation:

6 divided by 2 = 3 + 8 = 11

11 x 2 = 22 - 4 = 18

Hope this helps! :>

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Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 i. Which statement describes the number and nature of al

bagirrra123 [75]

The correct option is f(x) has three real roots and two imaginary roots.

Given

Three roots of a fifth-degree polynomial function f(x) are –2, 2, and 4 i.

<h3>Complex conjugate</h3>

The complex conjugate of a complex number is the number with an equally real part and an imaginary part equal in magnitude but opposite in sign.

It is given that the roots of the fifth-degree polynomial function are -2, 2, and 4+i.

Since the degree of f(x) is 5, therefore there are 5 roots of the function either real or imaginary.

According to the complex conjugate root theorem, if a+ib is a root of a polynomial function f(x), then a-ib is also a root of the polynomial f(x).

Since 4+i is a root of f(x), so by complex conjugate rot theorem 4-i is also a root of f(x).

From the given data the number of real roots is 2 and the number of 2. The number of complex roots is always an even number, so the last root must be a real number.

Therefore, the correct option is f(x) has three real roots and two imaginary roots.

To know more about imaginary roots click the link given below.

brainly.com/question/1375079

3 0

2 years ago

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

$g(x)=-5x^{2}+100x-450$

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

$g(x)=-5x^{2}+100x-450$

Complete the square

$g(x)=-5(x^{2}-20x)-450$

$g(x)=-5(x^{2}-20x+100)-450+500$

$g(x)=-5(x^{2}-20x+100)+50$

$g(x)=-5(x-10)^{2}+50$

The vertex is the point (10,50)

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0

3 years ago

Read 2 more answers

1 2 3 4 5 6 7 8 9 10

Maslowich

The graph that represents viable values for y = 2x is Option A.

<h3>What is a Straight Line Function ?</h3>

A straight line function is given by y = mx +c , where m is the slope and c is the y intercept.

The given equation is y = 2x

here m = 2

x is the number of pounds of rice scooped and purchased from a bulk bin

y is the total cost of the rice

as both the data cannot be negative , Option C , D is out of choice

The Option 1 represents a straight line and it starts at the origin which is satisfied by y = 2x as y = 0 , at x = 0

ends at point (2.5, 5) giving a slope of m =2 ,

Therefore , The graph that represents viable values for y = 2x is Option A.

To know more about Straight Line equation

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6 0

2 years ago

when justin goes to work he drives at an average speed of 65 mph. it takes about 1 hour and 30 minutes for justin to arrive at w

Artyom0805 [142]

No it would be 91.25

4 0

3 years ago

Helppppp rn please.

scoundrel [369]

1) neither. that’s not one of your answer choices so just pick one (maybe odd ‍♀️)
2) 2 is the answer. Plug in 1 for x, raise everything to its power (which will end up being 1), then use PEMDAS to solve

5 0

3 years ago