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Tatiana [17]
2 years ago
7

Need Help With Functions. Screenshot attatched

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
3 0

Answer:

4x² -29x +51

Step-by-step explanation:

Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.

... g(x) = 4x² -5x = x(4x -5)

Substituting, we have

... g(x-3) = (x -3)(4(x -3) -5)

... = (x -3)(4x -17) . . . . . simplify right factor

... = 4x² -12x -17x +51

... g(x -3) = 4x² -29x +51

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1. Kane earns an annual salary of $42,500.
Katarina [22]

Answer:

$1753.13

Step-by-step explanation:

Kane's Annual Salary  = $42,500

Gross Pay = $42,500

Net Pay = Gross Pay - 1% of Gross Pay

=42500 - (0.01 X 42500)

=$42,075

Since he is paid twice a month with paychecks being  of equal amounts.

Number of Payments in a Year =12 X 2= 24

Therefore, Kane's Take Home pay after Medicare taxes

= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)

5 0
2 years ago
Please help me out please
Elanso [62]

Answer:

400 units³

Step-by-step explanation:

The volume (V) of the square pyramid is

V = \frac{1}{3} area of base × height (h)

where h is the perpendicular height.

Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )

Using Pythagoras' identity on the right triangle

h² + 5² = 13²

h² + 25 = 169 ( subtract 25 from both sides )

h² = 144 ( take the square root of both sides )

h = \sqrt{144} = 12

Area of square base = 10² = 100, hence

V = \frac{1}{3} × 100 × 12 = 4 × 100 = 400

7 0
3 years ago
24 less than 4 times a number is 60. what is the number?
kondaur [170]
Hey there! :D

Make an algebraic expression. 

Let the 'number' equal x. 

4x-24= 60

Add 24 on both sides. 

4x= 84

Divide both sides by 4. 

x=21

The number is 21. 

I hope this helps!
~kaikers 
8 0
3 years ago
What is the slope of a line y=7.8x+62
dexar [7]

Answer:

m = 7.8

Step-by-step explanation:

Its the slope. Its the number next to the x.

3 0
3 years ago
7(+5)=21<br>can you please help with math problem<br>​
zysi [14]
What do u have to find?
3 0
3 years ago
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