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Allisa [31]
3 years ago
10

Which property was used to simplify the expression? (3z)^2 = 3^2z^2 = 9z^2

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0
One of the product rules for exponents was used.
(ab)^{c}=a^{c}b^{c}

Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.
(3z)^{2}\\=(3z)(3z)\\=3\cdot 3\cdot z\cdot z\\=3^{2}z^{2}\\=9z^{2}
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What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 + 5x3 − x2 + 8x + 4?
ale4655 [162]

Answer:

Either:  1 neg, 3 pos, 0 imaginary; 1 neg, 1 pos, 2 imaginary

Step-by-step explanation:

Look for the positive possibilities first.  Count the numbe of sign changes then subtract 2, if possible, as many times as you can.

There are 3 sign changes.  So the possible positive roots are either 3 or 1.

Now look for the negative possibilities.  Replace each x with a -x and then count the sign changes.  Replacing with -x's gives you this polynomial:

f(-x)=-3x^4-5x^3-x^2-8x+4

There is only one sign change here, so the possible negative roots is 1.  Start with the negative roots to find the possible combinations of positive, negative, and imaginary, since there is only 1.

-     1       1

+    3       1

i     0       2

Since this is a 4th degree, the number of roots we have has to add up to equal 4.

8 0
3 years ago
Find the coordinates of the center of the following circle.
AysviL [449]
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7 0
3 years ago
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There are cars, trucks, and motorcycles in our company parking lot. The ratio of cars to trucks to motorcycles is $4:3:2.$ If th
Keith_Richards [23]

Answer:

12

Step-by-step explanation:

The ratio of cars to trucks to motorcycles is $4:3:2.

If there are $42$ cars and trucks total,

To get how many motorcycles are there

Sum up the ratio of cars and trucks 4:3= 4+3 = 7

Sum up the ratio of cars and trucks and motorcycles

4+3+2 =9

Let the total number of cars and trucks and motorcycles be represented as A

The total number of cars and trucks in the question is 42

(7/9) x A = 42

7A/9 = 42

cross multiply

7A = 42×9 = 378

A= 378/7 = 54

The total number of cars and trucks and motorcycles is 54

To get the number of motorcycles can be calculated through

a. The total number of cars and trucks and motorcycles subtracted by the number of cars and trucks = 54-42=12 or use the ratio which is

2/9 × 54 = 2×6=12

5 0
3 years ago
PLEASE HELP I AM DESPERATE
slamgirl [31]
If your asking if it’s right I believe so
7 0
3 years ago
What is 14 subtracted from a number
eduard

Answer:

x-14

Step-by-step explanation:

We don't know what this number is so we label it as x or substitute it with x:

14 subtracted from it means, the number minus 14

Therefore our answer is :

x-14

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Brainliest and as many hearts as you can, with 5-star

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