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2 years ago

If f(x) = x2, then f(4) = 42 = 16. Find: a. f(1) b. f(-3) c. f(t)

Mathematics

1 answer:

icang [17]2 years ago

4 0

Answer:

Step-by-step explanation:

f(x) = x²

f(4) = 4² = 16

f(1) = 1² = 1

f(-3) = -3² = 9

f(t) = t²

Always wise to us the ^ symbol to represent powers to avoid confusion

4^2 = 4² = 16

-3^2 = 9

t^2

if you are on a PC, the square symbol (²) can be typed by holding down the "alt" key while pressing and releasing "2","5","3" on the keypad, then release "alt". Unfortunately this does not work if you only have the row of numbers on the keyBoard to work with.

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Martin finds a shirt on sale for 20 %off at a department store. The original price was 10$ Martin must also pay 8.5% sales tax.

Serhud [2]

Answer:

Step-by-step explanation:

Sale price = 80% of $10 = 0.80×$10 = $8

price + tax = 1.085×$8 = $8.68

8 0

3 years ago

Read 2 more answers

If I paid $205.50 for a phone that was 70% off, then what was the original price of the phone

slega [8]

Answer:

£349.35

Step-by-step explanation:

okay so firstly add the % to 100 = 170

then do 170 divided by 100 and multiply by the total ($205.50)

this would give you $349.35 <----- this is your orignal price (before the sale 70% off)

4 0

3 years ago

What is the prime factorization of 108

Anika [276]

☆What is the prime factorization of 108?

To find the prime factorization, first divide 108 by 2.

$108 \div 2 = 54$

You have 2 numbers: 54 and 2. 2 is a prime number and 54 isn't. Divide 54 by 2 until every factor of 54 is prime.

★ Prime number collection: 2

$54 \div 2 = 27$

Add 2 to the "prime number collection". Divide 27 by factors until every factor you find is prime.

★ Prime number collection: 2, 2

$27 \div 3 = 9$

Add 3 to the "prime number collection". Divide 9 by a factor of it to find more prime numbers.

★ Prime number collection: 2, 2, 3

$9 \div 3 = 3$

The two 3's are prime. No more dividing! Add those to the "prime number collection".

★ Prime number collection: 2, 2, 3, 3, 3

Multiply all the numbers in your "prime number collection".

$2 \times 2 \times 3 \times 3 \times 3$

6 0

4 years ago

(HELP 10 POINTS) Find the difference. Write your answer in standard form.

makkiz [27]

9514 1404 393

Answer:

-5x² -4x +8

Step-by-step explanation:

Eliminate parentheses and collect terms.

(-2x² +3) -(3x² +4x -5)

= -2x² +3 -3x² -4x +5

= (-2-3)x² -4x +(3 +5)

= -5x² -4x +8

4 0

3 years ago

Read 2 more answers

Let f(x) = -5e^(-x/3)<br><br> Find f^(6) (1)

Luba_88 [7]

Let's take the first derivative:

$f'(x) = (-5e^{-x/3})' = -5 \times (e^{-x/3})' = -5e^{-x/3} \times \left(-\dfrac{1}{3}\right) = \dfrac{5}{3}e^{-x/3}.$

Notice that we can write this as:

$f'(x) = -\dfrac{f(x)}{3}.$

By taking the derivative of both sides $n$ times, we get:

$f^{(n+1)}(x) = -\dfrac{f^{(n)}}{3}.$

This means that each time you take a derivative, a factor of $-\dfrac{1}{3}$ will appear. So we conclude that:

$f^{(n)}(x) = \left(-\dfrac{1}{3}\right)^nf(x).$

Taking $n=6$ and $x=1$ , we get:

$f^{(6)}(1) = \left(-\dfrac{1}{3}\right)^6 f(1) = \dfrac{-5e^{-1/3}}{729} = -\dfrac{5}{729}e^{-1/3}.$

So we finally get:

$\boxed{-\dfrac{5}{729}e^{-1/3}}.$

6 0

3 years ago