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Makovka662 [10]
3 years ago
7

What is the value of b?

Mathematics
1 answer:
Natalija [7]3 years ago
8 0
b=180-90-51=39
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If the function f (x) has a domain of (a,b] and a range of [c,d), then what is the domain and range of g (x) = m × f (x) + n?
xz_007 [3.2K]
<h3>Answer: Choice A</h3>

Domain = (a,b]

Range = [mc + n,md + n)

==============================================

Explanation:

The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).

Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.

-------------------

The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...

g(x) = m*f(x) + n

g(x) = m*c + n

All we're doing is replacing f with c.

So that means mc+n is the starting point of the range for g(x).

The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.

6 0
2 years ago
Hi plz help me on this
Umnica [9.8K]

Answer:

Lily is correct.

An example of a working solution to this problem is: 6/3 + 1/2 + 4/8.

Step-by-step explanation:

An integer is essentially a whole number(is not a part), but with negative numbers as well. Given whole numbers from 1 to 9, This can be an integer because an integer <u>includes</u> whole numbers.

3 0
3 years ago
What is the solution to the following system of equations:<br><br>7x+2y=24<br>8x+2y=30<br>​
Dima020 [189]

Answer:

(6,-9)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A bag contains three red marbles, six blue marbles, and three yellow marbles. What is the probability of selecting one red marbl
Fed [463]

A bag contains three red marbles, six blue marbles, and three yellow marbles.

therefore total no. of marbles = 3 + 6 + 3 = 12

total no. of red marble = 3

therefore probablity of selecting one red marble is 3/12 = 1/4

again total no. of blue marbles is 6

therefore probability of selecting one blue marble is 6/12 = 1/2

now total probability of selecting one red ball replacing it then selecting one blue marble is. 1/4 * 1/2 = 1/8

4 0
3 years ago
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $1790 and his st
stiv31 [10]

Answer:

20.7%

Step-by-step explanation:

Amount of stock increased in Company A = 20% of 1790

           = 0.20 * 1790 = $ 358

Investor's stock in company A this year = 1790 + 358 = $ 2148

Amount of stock increased in Company B = 22% of 1000

           = 0.22 * 1000= $ 220

Investor's stock in company B this year = 1000 + 220 = $ 1220

Total amount in investor's stock account  = 2148 + 1220 = $ 3368

Increased amount = 3368 - 2790 = $ 578

Increase percentage = \frac{578}{2790}*100 = 20.71

                                   = 20.7%

7 0
3 years ago
Read 2 more answers
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