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3 years ago

Find f(t – 3) for f(x) = 4x2 – 8x + 4.

Mathematics

1 answer:

GarryVolchara [31]3 years ago

5 0

Answer:

4t^2 - 32t + 64.

Step-by-step explanation:

f(x) = 4x2 – 8x + 4

f(t - 3) = 4(t - 3)^2 - 8(t - 3) + 4

= 4(t^2 - 6t + 9) - 8t + 24 + 4

= 4t^2 - 24t + 36 - 8t + 28

= 4t^2 - 32t + 64.

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Calculate the state income tax owed on a $90,000<br> per year salary.<br> tax = $[?]

lakkis [162]

Answer:

$4918

Step-by-step explanation:

first income must be divided according to tax bracket

2% tax on first 3000 income= 2% of $3000=$60

3% tax on income after first 3000 but upto 5000= 5000-3000= $2000

=3% of 2000= $60

5% tax on income after second 5000 but upto 12000= 17000-5000

=12000 5% of $12000= $600

Lastly, 5.75% income over 17000=

90000-17000= $73000 so, 5.75 % of 73000= $4197.5

tax= $60+60+600+4197.5

= $4917.5

= $4918

6 0

3 years ago

Consider the function graphed below.

aleksandr82 [10.1K]

Answer:

A. 96

Step-by-step explanation:

8 0

3 years ago

Say that you are about to make a major purchase and would like to save money on sales tax. Which of these is a viable way to red

mafiozo [28]

Answer: c.) Sales tax varies by state, so you can travel to a state with a lower tax rate and make your purchase there.

Step-by-step explanation:

Sales tax rates vary significantly from state to state, so you can save money if you know what state has a lower sales tax rate, so you can travel to that state and make your purchase there.

There is a list of states with lower sales tax rates:

1. Alaska 1.43% Sales tax rates

2. Hawaii 4.41% Sales tax rates

3. Wyoming 5.36% Sales tax rates

4. Wisconsin 5.44% Sales tax rates

5. Maine 5.50% Sales tax rates

6. Virginia 5.65% Sales tax rates

<h2><em>Spymore</em></h2>

5 0

3 years ago

Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7). Which of the following expressions will he us

Alex777 [14]

Answer:

Option (1) is correct.

Barry uses the expression " square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared " to find the distance between point E(3, 1) and point F(4, 7).

Step-by-step explanation:

Given : Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7).

Distance between two points can be calculate using distance formula,

Distance formula states given two points P(a,b) and Q(c,d) the distance between P and Q can be calculated using the given expression ,

$D=\sqrt{(c-a)^2+(d-b)^2}$

Thus, distance between point E(3, 1) and point F(4, 7) can be calculate using above formula as ,

Here, a= 3 , b= 1 , c = 4 and d = 7

$D=\sqrt{(c-a)^2+(d-b)^2}$

Substitute above values, we get,

$D=\sqrt{(4-3)^2+(7-1)^2}$

$D=\sqrt{(1)^2+(6)^2}$

$D=\sqrt{37}$

Thus, Barry uses the expression " square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared " to find the distance between point E(3, 1) and point F(4, 7).

Thus, Option (1) is correct.

6 0

3 years ago

Read 2 more answers

Solve the following equation (If possible please show work)

natima [27]

Answer:

x = 1.8

Step-by-step explanation:

2 ( 4x-3) - 8 = 4-2x

Distribute

8x -6 -8 = 4- 2x

Combine like terms

8x - 14 = 4 - 2x

Add 2x to each side

8x - 14 +2x = 4-2x+2x

10x-14 = 4

Add 14 to each side

10x-14+14 = 4+14

10x = 18

Divide by 10

10x/10 = 18/10

x = 1.8

8 0

3 years ago