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1 year ago

According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?

Mathematics

2 answers:

Harlamova29_29 [7]1 year ago

8 0

3x^3 – 5x^2 – 12x + 20

= (3x^3 – 5x^2) – (12x - 20)

= x^2(3x - 5) - 4(3x - 5)

= (3x - 5)(x^2 - 4)

= (3x - 5)(x + 2)(x - 2)

Factors: (3x - 5), (x + 2), and (x - 2)

Answer:

D.) 3x – 5

prisoha [69]1 year ago

6 0

Answer:

D.) 3x – 5

Step-by-step explanation:

I got 100% on the test

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Which measure is the largest? 1.2 km, 120,600 cm, 1,220,000 mm, 120 meters

aalyn [17]

The answer would be 1,220,000mm.

You can do this if you convert all the measures into one unit. Let us convert all into km.

The first one is already in km, so we do not need to covert it.

Let's start with converting 1,220,000mm to km.

There are 1, 000,000 mm in one km.

$1,220,000X \frac{1km}{1,000,000mm} = 1.22km$

So there are 1.22km in 1,220,000mm.

Next, we have 120m. There are 1,000m in 1km.

$120mX \frac{1km}{1,000} =0.12km$

There are 0.12km in 120m

Now you can see that 1,220,000mm is the longest.

4 0

1 year ago

Ginger Smith was seen in Dr. Sampson's office today for an allergic reaction to a prescribed drug. Total charges today are $100.

Anna71 [15]

Answer: Ginger Smith will have to pay $23.00

Step-by-step explanation:

When we talk about a Health Insurance, the Allowed amount $A$ is the maximum amount the Health Insurance company will cover for health care services.

So, if the health care provider charges more than this allowed amount (as in this situation with Ginger Smith), Ginger will have to pay the difference $D$ , which is calculated by:

$D=T-A$

$T=\$100.00$ are the total charges

$A=\$77.00$ is the allowed amount

$D=\$100.00-\$77.00$

$D=\$23.00$ This is the difference Ginger Smith will have to pay

6 0

1 year ago

Terrence is folding paper cranes at a constant rate. Write an equation to describe the relationship between c, the number of cra

Vanyuwa [196]

Answer:

It is c = kt.

Step-by-step explanation:

This is direct variation . As the time increases the number of cranes increases.

The equation is c = kt where k is the constant of variation. In this case it will be a positive value because c is increasing with time.

If they make 20 cranes in 10 minutes then we can find the value of k by plugging in these values;

20 = k * 10

g = 20/10

k = 2.

So they make 2 cranes per minute.

7 0

1 year ago

L = loudness, in decibels (dB); I = sound intensity, in watts/m2; I0 = 10−12 watts/m2

irina [24]

The sound intensity of the Pile Driver is 39.5
or nearly 40 times the sound intensity of the jackhammer.

Given with Loudness in dB for pile driver = 112 dB
We have to convert it in terms of sound intensity.
First,
112dB/10 = 11.2

Then we'll use this as exponent of 10
(10)^(11.2) = 1.5849 * 10 ^ 11

Then use the equation of Watts per square meter to find the intensity:
I / (10^-12 W/m^2) =1.5849 * 10 ^ 11
I = sound intensity = 0.158

Then compare:

Sound intensity of Pile Driver/ Sound intensity of Jackhammer
(0.158) / (0.004)
= 39.5
or nearly 40 times the jackhammer.

3 0

2 years ago

Read 2 more answers

The diagonals of kite ABCD intersect at E. If ∡EBC=30°, what is ∡BCE?

lukranit [14]

Answer:

∡BCE = 60

Step-by-step explanation:

Here, we want to find the angle marked BCE

From our diagram, the angle marked BCE is y

Looking at triangle BCE, we have the right angle, an angle measure of 30 and the angle marked y which we say is BCE

mathematically, the sum of all these will give 180 as the sum f the interior angles of a triangle is 180

Thus, we have that;

y + 30 + 90 = 180

y = 180-120

y = 60

8 0

1 year ago