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3 years ago

Select all polynomials that have (x-3) as a factor.

Mathematics

1 answer:

Alchen [17]3 years ago

8 0

Answer:

Below.

Step-by-step explanation:

Substitute x = 3 into each polynomial and see if the value of the polynomial is zero. If it is zero then x-3 is a factor.

Try number 1:

a(x) = x^3 - 2x^2 - 4x + 3

a(3) = 3^3 - 2(3)^2 - 4(3) + 3

= 27 - 2(9) - 12 + 3

= 27 - 18 - 12 + 3

= 9 - 18 - 9

= 27 - 27

= 0

So a(x) has (x-3) is a factor of a(x)

The other 3 polynomials are solved in the same way.

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Step-by-step explanation:

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3 years ago

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals. How much netting did she use per goal?

snow_tiger [21]

0.37 meters of netting

<h3>Further explanation</h3>

<u>Given:</u>

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.

<u>Question:</u>

How much netting did she use per goal?

<u>The Process:</u>

We will solve the problem of conversion or in other words the ratio or proportion.

Option A: the conversion

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.

Then for every 1 goal, she needs 0.37 meters of netting.

Because $\boxed{ \ 1 \ goal \times \frac{1.48 \ meters}{4 \ goals} = 0.37 \ meters \ of \ netting.}$

Option B: the ratio (or proportion)

In the ratio, we process as follows:

$\boxed{ \ 4 \ goals : 1.48 \ meters \ of \ netting \ }$

Both are divided by 4.

$\boxed{ \ 1 \ goals : 0.37 \ meters \ of \ netting \ }$

Thus, she uses 0.37 meters of netting per goal.

Alternative problem

How much netting did she use for 8 goals?

$\boxed{ \ 8 \ goal \times \frac{1.48 \ meters}{4 \ goals} = \ ? \ }$ meters of netting.

We cross out eight and four because they can be divided.

$\boxed{ \ 2 \times 1.48 \ meters = 2.96 \ meters \ of \ netting. \ }$

She uses 2.96 meters of netting to make 8 identical mini hockey goals.

<h3>Learn more</h3>

About the engine displacement of Kawasaki Ninja brainly.com/question/5009365
The clothing maker brainly.com/question/1594110
The unit conversion brainly.com/question/5416146

Keywords: Mrs. Nguyen, 1.48 meters of netting, to make 4 identical mini hockey goals, how much netting, she uses per goal, conversion, the ratio, proportion

8 0

4 years ago

Find the missing side lengths. Leave your answers in simplest radical form.

saveliy_v [14]

ANSWER:
d. x = 15, y= 15√3

EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have

We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15

We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.

x = 15
y = 15√3

Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications

8 0

3 years ago