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Archy [21]
3 years ago
15

Kate has an interior decorating business. She charges a base fee of $25 for each visit and $40 per hour for her labor. 1) Write

a function rule to represent this situation for, C, the total cost and h number of hours. 2) Identify the domain and range for the situation. 3) Explain if the situation is discrete or continuous. (if there is no explanation, there will be no credit given) PLEASE I NEED FAST ILL GIVE BRAINLIEST
Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0

Answer:

1) C = $25 + $40 × h

2) The domain for the ≠unction is 0 ≤ h ≤ ∞

The range for the function is 25 ≤ C ≤ ∞

3) Continuous

Step-by-step explanation:

1) The given parameters are;

The base fee charged = $25

The amount charged for labor = $40/hour

The total cost for h number of hours is C = $25 + $40 × h

2) The domain for the ≠unction is 0 ≤ h ≤ ∞

The range for the function is 25 ≤ C ≤ ∞

3) The situation is continuous because the different input values of h can be infinite (from o to infinity)

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Which word is the antecedent of the underlined pronoun?
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The antecedent for both the possessive adjective 'their' and the objective personal pronoun 'them' is children<span>.</span>
4 0
3 years ago
Let f(x) = 13 - |2x+ 1|. Find all x for which f(x) less than or equal to 14
Art [367]

Answer:

x \leqslant -1\: or \: x  \geqslant  - 1

Step-by-step explanation:

The given function is

f(x) = 13 -  |2x + 1|

We want to find all values of x for which:

f(x) is greater than or equal to 14.

This implies;

13 -  |2x + 1|  \geqslant 14

Subtract 13 from both sides;

-  |2x + 1|  \geqslant 14 - 13

|2x + 1|  \geqslant - 1

By definition of the absolute value function,

- (2x + 1) \geqslant  - 1 \: or \: (2x + 1) \geqslant  - 1

Divide through the first inequality and and reverse the inequality sign:

2x + 1 \leqslant -1 \: or \: 2x + 1 \geqslant  - 1

2x \leqslant -1  - 1 \: or \: 2x  \geqslant  - 1  - 1

2x \leqslant -2 \: or \: 2x  \geqslant  - 2

x \leqslant -1\: or \: x  \geqslant  - 1

8 0
4 years ago
Round the number 10.7142857 to the nearest tenth
Cloud [144]
Here is your answer mate ,






10.7142860

Or



11





Hope it helps





Pls——-mark———-as————-brainliest
7 0
4 years ago
What is the sum sqaure root-2 and sqaure root -18
svet-max [94.6K]

Answer:

<u>The correct answer is that 4√- 2 is the simplest radical form of this mathematical expression and 8i (i = imaginary unit) is the solution if we want to find out the square root of a negative signed number.</u>

Step-by-step explanation:

1. Let's write in a mathematical expression the information given:  

Sum square root of -2 and the square root of - 18

√- 2 + √ - 18

√- 2 + √ 9 . - 2 ( 9 * -2 = - 18)

√- 2 +  3 √ - 2  (√ 9 = 3)

4  √- 2

This is the simplest radical form of this mathematical expression.  If we want a concrete number, we should remember that if we refer to the imaginary numbers we can find the solution for √-2 = 2i, or for any other negative number, where i is the imaginary unit. This unit can be used for the development of the square root of negative signed numbers.

Then,

4  √- 2 = 4 (2i) = 8i

<u>The correct answer is that 4√- 2 is the simplest radical form of this mathematical expression and 8i (i = imaginary unit) is the solution if we want to find out the square root of a negative signed number.</u>

8 0
4 years ago
Please help on this question i give brainliest
Tju [1.3M]

Answer:

1. 9 bounds of carbon dioxide

2.  27 bounds of carbon dioxide

Step-by-step explanation:

So let's find a unit rate: 1 to 9

"Why is it 1:9?"

If I can find divide 72 pounds into 8 hours? What would I find? You would find the pounds for each other

Example: 72/8=9. So If 9 carbon dioxide per hour. I can do 3 hours is 27 pounds of carbon dioxide.

So to sum it up, 72/8=9 so 1:9 can be used to figure out any amount of pounds used in a certain number of hours. So If 3 hours, then 27 pounds.

4 0
3 years ago
Read 2 more answers
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