All categories

3 years ago

Use the functions a(x) = 3x + 10 and b(x) = 2x − 8 to complete the function operations listed below.

1 answer:

7 0

For part A, you simply add the two functions a(x) and b(x). The resulting function is then (a+b)(x) = 5x +2.

For part B, you multiply the functions a(x) and b(x). Using the FOIL method, we obtain, 6x^2 -24x + 20x - 80. Simplifying, we get, (a*b)(x) = 6x^2 -4x - 80.

For part C, you replace x in the function a(x) with the expression from b(x). This results to: a[b(x)] = 3(2x - 8) +10. Simplifying, a[b(x)] = 6x - 14.

You might be interested in

Labeling Parts of a Circle

mel-nik [20]

Answer:

Click on the screenshot, I labeled the parts

Hope this helps :))

7 0

2 years ago

Brigitte is shorter than 5 feet. (Brigitte's height=h). Help please

KonstantinChe [14]

Brigitte is shorter than 5 feet. (Brigitte's height=h)

We write this in inequality form

Brigitte's height is h

So 'h' is shorter than 5 feet

Shorter means less than so we use < symbol. We should not use = symbol because height is shorter than 5 not equal to 5.

Suppose if it is given ' height is more than 5 feet ' then we use greater than symbol (>)

h is less than 5 feet

h < 5

Inequality is h < 5

3 0

3 years ago

Read 2 more answers

If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent

Rom4ik [11]

Answer:

POSTULATE

Step-by-step explanation:

A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven

In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not.

This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics:

They are presumed true by most of the scholars in the field.

Its contradiction goes against the very essence of the subject.

Postulate 6: If two planes intersect, then their intersection is a line.

See Attachment for Details ^^

The image attached represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)

Therefore,

The Geometry term that represents the statement above is POSTULATE

5 0

2 years ago

Radio waves travel at the speed of light, approximately 300,000,000 m/s. Part A How much time does it take for a radio message t

jenyasd209 [6]

Answer:

Step-by-step explanation:

First you want to understand that every time a radio wave goes 300,000,000 meters a second passes, literally what meter per second means. of course it doesn't go that far, it goes 384,000 one way and then the same distance back, which makes 768,000. Under a third of the distance to make 1 second, so it will be less than one second.

You also want to understand the formula for speed. speed = distance / time. Whch also means, to find time you can change it to be time = distance / speed. And hey, we have distance and speed. 768,000 / 300,000,000 = .00256, I'll leave the significant figures to you unless you need help with them. but that's .00256 of a second. or .00256 s

7 0

3 years ago

Read 2 more answers

Round 985,622 to the nearest hundred

fgiga [73]

Answer:985,600

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers