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alex41 [277]
2 years ago
5

1. The graph of f(x) = |x| is shown below. Write the equation for the stretched graph, g(x).

Mathematics
1 answer:
baherus [9]2 years ago
5 0

Answer:

Step-by-step explanation:

If the input is 2 and the output is 6, then f(x) = 3IxI

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Whats 3 to the power of zero? is it just 3
zepelin [54]

Answer:

3^0 = 1

Step-by-step explanation:

a^0  =1 ,~~ a \neq 0

5 0
2 years ago
Explain how you can use place-value patterns to describe how 50 and 5000 compare
Masteriza [31]
If you have 50. and want to make it 5000 you can move the decimals point over 2 which would also be ×100
6 0
3 years ago
Earl invested 6,000 in a money market account that pays 5% interest quarterly. How much money will he have in his account after
Sedbober [7]

Answer:

The amount becomes $6964.53 after 3 years .

Step-by-step explanation:

Formula

Amount = P (1+\frac{r}{4})^{4t}

Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .

As given

Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .

P = $6000

5% is written in the decimal form.

= \frac{5}{100}

= 0.05

r = 0.05

t = 3 years

Putting all the values in the formula

Amount = 6000(1+\frac{0.05}{4})^{4\times 3}

Amount = 6000(1+0.0125)^{12}

Amount = 6000\times 1.16075452

Amount =\$ 6964.53\ (Approx)

Therefore the amount becomes $6964.53 after 3 years .


3 0
2 years ago
For the polynomial function ƒ(x) = −x6 + 3x4 + 4x2, find the zeros. Then determine the multiplicity at each zero and state wheth
murzikaleks [220]

There is a multiple zero at 0 (which means that it touches there), and there are single zeros at -2 and 2 (which means that they cross). There is also 2 imaginary zeros at i and -i.


You can find this by factoring. Start by pulling out the greatest common factor, which in this case is -x^2.


-x^6 + 3x^4 + 4x^2

-x^2(x^4 - 3x^2 - 4)


Now we can factor the inside of the parenthesis. You do this by finding factors of the last number that add up to the middle number.


-x^2(x^4 - 3x^2 - 4)

-x^2(x^2 - 4)(x^2 + 1)


Now we can use the factors of two perfect squares rule to factor the middle parenthesis.


-x^2(x^2 - 4)(x^2 + 1)

-x^2(x - 2)(x + 2)(x^2 + 1)


We would also want to split the term in the front.


-x^2(x - 2)(x + 2)(x^2 + 1)

(x)(-x)(x - 2)(x + 2)(x^2 + 1)


Now we would set each portion equal to 0 and solve.


First root

x = 0 ---> no work needed


Second root

-x = 0 ---> divide by -1

x = 0


Third root

x - 2 = 0

x = 2


Forth root

x + 2 = 0

x = -2


Fifth and Sixth roots

x^2 + 1 = 0

x^2 = -1

x = +/- \sqrt{-1}

x = +/- i

7 0
3 years ago
A 9-pack of toaster pastries costs $3.60. What is the unit price?<br> per pastry
lina2011 [118]

Answer:.40 cents

Step-by-step explanation: divide the total cost by the amount of items you have.

7 0
3 years ago
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