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mariarad [96]
3 years ago
12

Show how to determine whether (2x – 4) is a factor of the polynomial 2x^5 – 4x^4 + 2x^2 – 2x - 4

Mathematics
1 answer:
amid [387]3 years ago
8 0

Answer:

See explanation.

Step-by-step explanation:

First put 2x-4 equal to 0 and solve it.

2x-4=0

2x=4

x=2

Now plug 2 into the polynomial and see if it equals to 0

In case it's not, then it is not a factor of it

2(2)^5 - 4(2)^4 + 2x^2 -2(2) - 4 = 0


So it's indeed a factor of the polynomial.


Hope this helps!

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Write the equation in slope intercept form y= 3 (x+ 1) + 5x
schepotkina [342]

Given:

y=3(x+1)+5x

Required:

To write the given equation in slope intercept form.

Explanation:

Consider

\begin{gathered} y=3(x+1)+5x \\  \\ y=3x+3+5x \\  \\ y=8x+3 \end{gathered}

Final Answer:

y=8x+3

5 0
1 year ago
P L E A S E H E L P ! ! !
Step2247 [10]

Answer:

1) 6x = 21

2) x + y - 3

3) x/z = y

4) 2-x = p

Step-by-step explanation:

1. The product of a number x and 6 is 21

A product is a multiplication.  A product of a and b is a * b.

We then have a product of x and 6, that x * 6, which we write usually in the format 6x.

is 21: that means it's equal to 21....

so 6x = 21.

2. The sum of the quantity x- 3 and y  

The sum is an addition.  The sum of a and b is a + b.

In this case, the first part is x - 3, the second part is y

So, x - 3 + y, which we usually rewrite as x + y - 3

3. The quotient of x and z is y

A quotient is a division.

So, quotient of x and z is x/z.

x/z = y

4. The difference of 2 and x is p.

A difference is a subtraction.

Difference of 2 and x is 2 - x

2 - x = p

7 0
3 years ago
Find the equation of the line through point (3,−3) and parallel to y=3x−4. Use a forward slash (i.e. "/") for fractions (e.g. 1/
exis [7]

Answer:

y =3x - 12

Step-by-step explanation:

I'm fairly certain this is the answer.

Consider the point (3,-3). In terms of variables this is written (x,y).

Remember that the equation for slope is y = mx + b.

In that equation, "b" is your y-intercept, and "m" is your slope.

If 2 lines are parallel, they have the same slope but different y-intercepts. So you can use the slope from the equation y=3x-4 to find the parallel line. You can also plug in the values 3 and -3 to solve for b, our y-intercept.

If we set up the equation, we have -3 = 3(3) + b.

Now solve for b.

-3 = 9 + b

Combine like terms, so that -12 = b, and you have your y-intercept.

To create the equation, take out the coordinate pair that the line passes through, and only have the SLOPE and the Y-INTERCEPT showing in the equation.

Therefore, y = 3x - 12

5 0
3 years ago
Complete the patterns of the equivalent ratios by filling in the gaps.
gayaneshka [121]
21:3
9:3
3:1

there all a 3:1 ratio
4 0
3 years ago
If 1 euro is priced at $1.25 and if 1 euro will also buy 88 Japanese yen (€1 = ¥88), in equilibrium, with no arbitrage opportuni
Alborosie

Answer:

So the exchange rate is that each dollar is worth 70.4 yens.

Step-by-step explanation:

We have that:

1 euro is priced at $1.25

1 euro will also buy 88 Japanese yen

This also means that:

$1.25 is priced at 88 Japanese yen

How much is the cross rate between the yen and the dollar (yen per dollar exchange rate)?

How much yens is 1 dollar?

This can be solved by a simple rule of three.

$1.25 - 88 yen

$1 - x yen

1.25x = 88

x = \frac{88}{1.25}

x = 70.4

So the exchange rate is that each dollar is worth 70.4 yens.

5 0
3 years ago
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