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Morgarella [4.7K]
3 years ago
6

Somebody help me out

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0

Given Function : f(x) = -3x² + 3x + 7

To find out the value of f(8) : Substitute 8 in the function in place of x

⇒   f(8) = -3(8)² + 3(8) + 7

⇒   f(8) = -3(64) + 24 + 7

⇒   f(8) = -192 + 24 + 7

⇒   f(8) = -161

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A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven. The function rule C = 0.2
son4ous [18]

Answer:

A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven.

The function  C = 0.20m+ 150.00 ,

where m is the number of miles and C is the total cost.

Since it is given that : If the rental car can only be driven a maximum of 200 miles.

Then the total cost for this is,

C = 0.20 (200)+150 or

C= 40+150

On simplify we get,

C = \$ 190

A rental Car can only be driven a maximum of 200 miles for a cost of $ 190.

Graph the function : C = 0.20m+ 150.00 as shown in the attachment.  




7 0
3 years ago
Determine the equation of the line given by the graph.
Dominik [7]
A is the correct answer!!!
5 0
3 years ago
Write each expression in simplified radical form PLEASE HELP ITS DUE FRIDAY AND I DONT UNDERSTAND THIS AT ALL REALLY BAD TEACHER
Nonamiya [84]

Answer:

1) The simplified radical form is  \sqrt{36x^2}=6x

2) The simplified radical form is  \sqrt{72x^3}=6x\sqrt{2x}

3) The simplified radical form is  \sqrt{15x^8}=\sqrt{15}x^4

4) The simplified radical form is  \sqrt{36x^7}=6x^3\sqrt{x}

Step-by-step explanation:

1) Given expression is \sqrt{36x^2}

To find the simplified radical form of the given expression :

\sqrt{36x^2}

=\sqrt{36\times x^2}

=\sqrt{36}\times \sqrt{x^2}

=\sqrt{6\times 6}\times \sqrt{x\times x}

=6\times x

\sqrt{36x^2}=6x

Therefore the simplified radical form is  \sqrt{36x^2}=6x

2)Given expression is \sqrt{72x^3}

To find the simplified radical form of the given expression :

\sqrt{72x^3}

=\sqrt{72\times x^3}

=\sqrt{72}\times \sqrt{x^3}

=\sqrt{9\times 8}\times \sqrt{x\times x\times x}

=\sqrt{9}\times \sqrt{8}\times x\sqrt{x}

=3\times 2\sqrt{2}\times x\sqrt{x}

\sqrt{72x^3}=6x\sqrt{2x}

Therefore the simplified radical form is  \sqrt{72x^3}=6x\sqrt{2x}

3) Given expression is \sqrt{15x^8}

To find the simplified radical form of the given expression :

\sqrt{15x^8}

=\sqrt{15\times x^8}

=\sqrt{15}\times \sqrt{x^8}

=\sqrt{5\times 3}\times \sqrt{x^4\times x^4}

=\sqrt{15}\times x^4

\sqrt{15x^8}=\sqrt{15}x^4

Therefore the simplified radical form is  \sqrt{15x^8}=\sqrt{15}x^4

4) Given expression is \sqrt{36x^7}

To find the simplified radical form of the given expression :

\sqrt{36x^7}

=\sqrt{36\times x^7}

=\sqrt{36}\times \sqrt{x^7}

=\sqrt{6\times 6}\times \sqrt{x^3\times x^3\times x}

=6\times x^3\sqrt{x}

\sqrt{36x^7}=6x^3\sqrt{x}

Therefore the simplified radical form is  \sqrt{36x^7}=6x^3\sqrt{x}

3 0
3 years ago
8.
Flauer [41]

Answer:

1 3/4 x 8 = 14. In 10 days, he will be paid the amount of one day x 10. 14 x 10 = 140. Tom will be paid $140 in 10 days

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
14-8711
Norma-Jean [14]

Answer:

$4,208.5

Step-by-step explanation:

The simple interest rate of the college savings account, R = 5.5%

The amount with which the account was opened, P = $500

The amount added each month to her account = $50

The amount in her account after 4 years = Required

The interest on each added $50 is given as follows;

50  × 0.055/12 × (1 + 2 + 3 + ... + 47) = 50  × 0.055/12 × (47/2)(1 + 47) = 258.5

The total amount deposited = 500 + 50 × 47 = $2,850

The total interest = 500×0.55×4 + 50  × 0.055/12 × (47/2)(1 + 47) = 1,358.5

The amount in her account at the end of 4 years, <em>A</em>, is given as follows

A = $2,850 + $1,358.5 = $4,208.5

8 0
3 years ago
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