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4 years ago

Let f(x)=3x-4 and g(x)10-x.what is f+g and what is it’s domain?

Mathematics

1 answer:

meriva4 years ago

6 0

Answer:

2x + 6

Domain: All real numbers

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 4

g(x) = 10 - x

Step 2: Find f(x) + g(x)

3x - 4 + 10 - x

2x + 6

Step 3: Domain

Since we can plug in any number x, the domain is all real numbers.

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Starrla was trying to collect 3 pounds of cans to recycle. If she collects one-fourth of a pound each day, how many days will it

Free_Kalibri [48]

Answer:

With approximately a half-ounce of aluminum per can, or 32 cans per pound, that makes each one worth about 1.7 cents. Although there are some people making a living collecting cans in the streets, it isn't a good living.

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3 years ago

Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!

Anni [7]

Answer:

The volume of the composite figure is:

312 ft^3

Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

VOLUME OF THE CUBE.

Finding the volume of a cube is actually simple, you only must follow the next formula:

Volume of a cube = base * height * width

So:

Volume of a cube = 6 ft * 6 ft * 6 ft
Volume of a cube = 216 ft^3

VOLUME OF THE PYRAMID.

The volume of a pyramid with a square base is:

Volume of a pyramid = 1/3 B * h

Where:

B = area of the base.

h = height.

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

Volume of a pyramid = 1/3 36 ft^2 * 8 ft
Volume of a pyramid = 96 ft^3

Finally, we add the volumes found:

Volume of the composite figure = 216 ft^3 + 96 ft^3
Volume of the composite figure = 312 ft^3

5 0

3 years ago

One urn contains 6 blue balls and 14 white balls, and a second urn contains 12 blue balls and 7 white balls. An urn is selected

Crazy boy [7]

Answer:

a) 0.4658 = 46.58% probability that the chosen ball is blue

b) 0.322 = 32.2% probability that it came from the first urn

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What is the probability that the chosen ball is blue?

6/20 = 0.3 of 0.5(first urn)

12/19 = 0.6316 out of 0.5(second urn).

$P(A) = 0.3*0.5 + 0.6316*0.5 = 0.4658$

0.4658 = 46.58% probability that the chosen ball is blue.

b. If the chosen ball is blue, what is the probability that it came from the first urn?

Event A: Blue Ball

Event B: From first urn

From item a., $P(A) = 0.4658$

Probability of blue ball from first urn:

0.3 of 0.5. So

$P(A \cap B) = 0.3*0.5 = 0.15$

Probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.4658} = 0.322$

0.322 = 32.2% probability that it came from the first urn

3 0

3 years ago

What is the sq root of 99 over the sq root of 11 ???

Evgen [1.6K]

9.94987437/3.31662479 or 3
Hope this helps!

4 0

4 years ago

Read 2 more answers

What is the behavior of the graph y=x4−2x3−11x2+12x+36 at each of its zeros?

Evgen [1.6K]

The behavior sees the leading coefficient is already positive, then increasing the size of the inputs will simply result in the leading term being even more positively skewed. The line on the graph will start to slope to the right.

<h3>What is the behavior of the graph y=x4−2x3−11x2+12x+36 at each of its zeros?</h3>

The behavior of the graph of the polynomial function f(x) as the variable x approaches either positive or negative infinity represents the end behavior of the function. The final behavior of a polynomial function's graph is determined by the degree of the function as well as the leading coefficient.

Generally, the equation for is zeros mathematically given as

y=x^4−2x^3−11x^2+12x+36

Therefore

(x+2)^2(x-3)^2=0

x=-2

x=3

since the graph attached has a positive leading coefficient and a positive degree

In conclusion, If the leading coefficient is already positive, then increasing the size of the inputs will simply result in the leading term being even more positively skewed. The line on the graph will start to slope to the right.