Ask question

Ask question

All categories

3 years ago

11

Leo is working part time as a server in a restaurant. He makes $8.14 for each hour he works, and on average earns an additional

$300 per week in tips. Which function, f(x), can Leo use to model his average weekly salary in terms of the number of hours, x, he works?

1 answer:

Mazyrski [523]3 years ago

8 0

Answer:

f(x) = 8.14x + 300

Step-by-step explanation:

You might be interested in

Help with this one to

aliina [53]

Answer:

D

Step-by-step explanation:

even

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

-4x^3 = 4x^3 (false)

odd

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

-4x^3 = -4x^3

3 0

2 years ago

Radical functions. please help me!

Sphinxa [80]

These are 8 questions and 8 answers:

1) Quesion 1:

9+√2
---------
4 - √7

Answer: the third option:

36 + 9√7 + 4√2 + √14
-----------------------------
9

Explanation:

Multiply both numerator and denominator by the conjugate of the denominator.

The conjugate of 4 - √7 = 4 + √7

=>

$\frac{9+ \sqrt{2} }{4- \sqrt{7} } . \frac{4+ \sqrt{7} }{4+ \sqrt{7} } = \frac{(9)(4)+9 \sqrt{7}+4 \sqrt{2} + \sqrt{2} . \sqrt{7} }{(4)^2-( \sqrt{7})^2 } =$

$= \frac{36+9 \sqrt{7} +4 \sqrt{2} + \sqrt{14} }{16-7}$

2) Question 2: sum

$5x (\sqrt[3]{x^2y})+2( \sqrt[3]{x^5y})$

Answer: fourth option

$7x( \sqrt[3]{x^2y} )$

Explanation:

Take x^5 out of the second radical which will result in a like term of the first radical:

$5x( \sqrt[3]{x^2y} )+2( \sqrt[3]{x^5y}) =5x( \sqrt[3]{x^2y} )+2x( \sqrt[3]{x^2y})=7x( \sqrt[3]{x^2y})$

which is the fourth option

3) Question 3. Which expression is equivalent to:

$\frac{ \sqrt{10} }{ \sqrt[4]{8} }$

Answer: the first option

Explanation

$\frac{ \sqrt{10} }{ \sqrt[4]{8} } = \frac{ \sqrt[4]{10^2} }{ \sqrt[4]{8} } = \frac{ \sqrt[4]{100} }{ \sqrt[4]{8} } . \frac{ \sqrt[4]{8^3} }{ \sqrt[4]{8^3} } = \frac{ \sqrt[4]{(100)(512)} }{8} = \frac{ \sqrt[4]{51200} }{8} = \frac{4 \sqrt[4]{200} }{8} = \frac{ \sqrt[4]{200} }{2}$

4) Question 4 What is the simplest form?

Answer: the second option

Explanation:

$\sqrt[4]{81x^8y^5}=x^2 y\sqrt[4]{3^4y} =3x^2y \sqrt[4]{y}$

5) Question 5 Product

Answer: the fourth option:

$104x^4+16x^4 \sqrt{30} [/tex]\\Explanation:\\Use the square of a binomial product: (a + b)^2 = a^2 + 2ab + b^2\\[tex](4x \sqrt{5x^2} )^2+2(4x \sqrt{5x^2})(2x^2 \sqrt{6}) +(2x^2 \sqrt{6} )^2=$

$=16x^2(5x^2)+16x^4( \sqrt{30} )+4x^4(6)=80x^4+16x^4 \sqrt{30} +24x^4=$

$=104x^4+16x^4 \sqrt{30}$

which is the fourth option.

6) Question 6 Product

Answer: fourth option

Explanation:

$\sqrt[3]{16x^7} . \sqrt[3]{12x^9} = \sqrt[3]{2^4.2^2.3x^7x^9} = \sqrt[3]{2^6.3.x^{16}}=2^2 x^5 \sqrt[3]{3x} =4 x^5\sqrt[3]{3x}$

which is the fourth option.

7) Question 7. Simplified form of 2√18 + 3√2 + √162

Answer: 18√2

Explanation:

$2 \sqrt{18}+3 \sqrt{2} + \sqrt{162}=2(3) \sqrt{2} + 3 \sqrt{2} +9 \sqrt{2} =18 \sqrt{2}$

which is the second option.

8) Question 8 which function is undefined for x = 0.

Answer: second option y = √ (x - 2)

Explanation.

The square root function is not defined for negative values.

When x = 0, x - 2 = -2, whose square root is not defined.

Therefore, the square root of x - 2 is not defined for x = 0.

5 0

4 years ago

Belina 4 1/2 yards of red fabric she also but 6 yards of white fabric how many more white fabric then red fabric did belinda buy

nalin [4]

1 and 1/2 will be your answer

5 0

3 years ago

What is one hundred twenty four percent

never [62]

124% as a decimal:
100% is 1 and 24% is 0.24.
So 124% is 1.24 as a decimal.

124% as a mixed number:
100% is 1 and 24% is 24/100.
To find 124% as a mixed number, simplify 24/100 and add it to 1.
24/100 = 12/50 = 6/25
So 124% as a mixed number is 1 and 6/25.

124% as an improper fraction:
To make 124% an improper fraction, just make the 1 a fraction with the same denominator as 6/25 and add.
1 = 1/1 = 25/25
25/25 + 6/25 = 31/25
So 124% is 31/25 as an improper fraction.

Hope this helps :)

5 0

4 years ago

Situation 1: a pair of shoes is on sale for 80% of the original price. the sale price is 60$. what was the original price

frozen [14]

(10/2)×60=300
Original price was $300

3 0

3 years ago