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Tamiku [17]
3 years ago
13

For the function F defined by F(x) = x^2 – 2x + 4, find F(| – 4|).

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

| - 4 | = 4

Thus :

f ( | - 4 | ) = f ( 4 )

f ( 4 ) = ( 4 )^2 - 2(4) + 4

f ( 4 ) = 16 - 8 + 4

f ( 4 ) = 16 + 4 - 8

f ( 4 ) = 20 - 8

f ( 4 ) = 12

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Ethan needs to save at least $500 to purchase a new dirt bike. So far, he has saved $175. If he hopes to use two-fifths of his n
IRISSAK [1]

Answer:

$812.5

Step-by-step explanation:

Given: Ethan need to save at least $500.

          He has saved so far $175

          Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.

Lets assume Ethan´s paycheck amount be "x"

First finding the remaining amount to be covered.

Remaining amount= \$ 500 - \$ 175= \$ 325

∴ The remaining amount to be covered is $325.

As given, Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.

Now, using the inequality to find the amount of paycheck.

⇒ x\times \frac{2}{5} \geq \$ 325

multiplying both side by 5

⇒ x\times 2\geq 325\times 5

divinding both side 2

⇒ x\geq \frac{1625}{2}

∴ x\geq \$ 812.5

Hence, Ethan must make at least $812.5 in his paycheck to cover his remaining anount to buy dirt bike.

6 0
3 years ago
Goods on an invoice have been calculated as £1,495. Total discount has been calculated as £149 and VAT is £269.20. What is the t
damaskus [11]

Answer:

£1,616.2

Step-by-step explanation:

1,496 - 149 = 1347

1347 + 269.20 = 1616.2

7 0
3 years ago
Round the number 95,498 to the ten thousands place value
dezoksy [38]
100,000 (sorry if I'm wrong)
8 0
3 years ago
The amount of polonium-210 remaining, p(t), after t days in a sample can be modeled by the exponential function p(t) = 100e−0.00
Archy [21]

Answer:

% Po lost = 100[1 - e^(-0.005t)]  %; 73.0 g

Step-by-step explanation:

p(t) = 100e^(-0.005t)

Initial amount:        p(0) = 100

Amount remaining: p(t) = 100e^(-0.005t)

Amount lost: p(0) – p(t) = 100 - 100e^(-0.005t) = 100[1 - e^(-0.005t)]

% of Po lost  = amount lost/initial amount × 100 %

= [1 - e^(-0.005t)]  × 100 % = 100[1 - e^(-0.005t)]  %

p(63) = 100e^(-0.005 × 63) = 100e^(-0.315) = 100 × 0.730 = 73 g

The mass of polonium remaining after 63 days is 73 g.

4 0
3 years ago
What is the slope and the point based on the equation: (y-2) = 5(x - 4)
Shkiper50 [21]

Answer:

Slope = 5

Point = (4, 2)

Step-by-step explanation:

7 0
2 years ago
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