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Komok [63]
2 years ago
10

What is the prime factorization of 18

Mathematics
1 answer:
choli [55]2 years ago
4 0

Answer: A

Step-by-step explanation: because you cant simplify 3 or 6 anymore but the rest you can 9 can be simplified to 3 and 3

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An electric company charges a certain rate per kilowatt-hour (kWh) of electricity used and an administrative fee of $3.50. The c
Triss [41]

Answer:

Variable r represents the slope of the equation.

Step-by-step explanation:

Given that the administrative fees that company charge is $3.50.

Also, the Zhao has a bill of $63.25.

The equation used by Zhao is

63.25=r(800)+3.50

We can compare the equation of a line in the slope-intercept form.

y=mx+c

We can see the y-intercept is $3.50 that is a fixed cost. And the company charged $63.25 that is the dependent variable.

Also, variable r that is the rate per kilowatt-hour (kWh) represents the slope of the equation.

4 0
3 years ago
Please help me out!!!!!!!
makkiz [27]

Answer:

C) y = 2|x - 3| - 1

Step-by-step explanation:

Point slope form: y = a(x - h) + k

The slope (a) is 2

The vertex (h, k) is (3, -1)

plug these values into the equation:

y = 2|x - 3| - 1

5 0
3 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
Is π^2 greater or less than 7.2?
STatiana [176]

Answer:

less than

Step-by-step explanation:

Well pi divided by 2 is 1.57 and you need to figure out if 7.2 is greater than or less than pi^2 aka 1.57 so theres your ansewr

4 0
2 years ago
Read 2 more answers
Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame
Pavlova-9 [17]

Answer: 9cm

Step-by-step explanation:

The circumference of a circle is given as: = 2πr

where,

π = 3.142

r = radius = unknown

Since circumference = 56.52cm, we'll slot it into the formula which will be:

Circumference = 2πr

2πr = 56.52

2 × 3.142 × r = 56.52

6.284r = 56.52

r = 56.52 / 6.284

r = 8.99

r = 9cm approximately

6 0
3 years ago
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