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Snowcat [4.5K]
3 years ago
11

Complete this statement: 45ax2 + 27ax + 18a = 9a(

Mathematics
1 answer:
mihalych1998 [28]3 years ago
7 0

Answer:

9 a (5 x^2 + 3 x + 2)

Step-by-step explanation:

Simplify the following:

45 a x^2 + 27 a x + 18 a

Factor 9 a out of 45 a x^2 + 27 a x + 18 a:

Answer: 9 a (5 x^2 + 3 x + 2)

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There are 20 machines in a factory. 7 of the machines are defective.
adelina 88 [10]

Answer:

0.1225

Step-by-step explanation:

Given

Number of Machines = 20

Defective Machines = 7

Required

Probability that two selected (with replacement) are defective.

The first step is to define an event that a machine will be defective.

Let M represent the selected machine sis defective.

P(M) = 7/20

Provided that the two selected machines are replaced;

The probability is calculated as thus

P(Both) = P(First Defect) * P(Second Defect)

From tge question, we understand that each selection is replaced before another selection is made.

This means that the probability of first selection and the probability of second selection are independent.

And as such;

P(First Defect) = P (Second Defect) = P(M) = 7/20

So;

P(Both) = P(First Defect) * P(Second Defect)

PBoth) = 7/20 * 7/20

P(Both) = 49/400

P(Both) = 0.1225

Hence, the probability that both choices will be defective machines is 0.1225

4 0
3 years ago
Which is the net of this solid? A pentagonal pyramid is shown. A net is shown with a square in the middle and 4 identical triang
Neko [114]

Answer: Choice B

A net is shown with a pentagon in the middle and 5 identical triangles on the 5 sides of the pentagon

The pentagon forms the base of the pentagonal pyramid. Each lateral side is a triangle that meets at the very top of the pyramid. The base stays on the floor while the sides are folded up.

---------------------------

There are other possible net configurations to form a pentagonal pyramid, but the other answer choices do not make a pentagonal pyramid.

  • Choice A produces a square pyramid.
  • Choice C makes a triangular pyramid (aka tetrahedron).
  • Choice D makes a hexagonal pyramid.

So we can rule choices A, C and D out.

4 0
3 years ago
Yasmine bought 4 bracelet. Each bracelet cost $ 3
Morgarella [4.7K]
She spent a total of $12
5 0
3 years ago
b A. Linear Function Does the graph represent a B. Neither C. Non-Linear Function linear function or a non-linear function?
nevsk [136]

It is a cubic function.

8 0
1 year ago
If you want to make more than $250 a month and u spend $155 on supplies what is an inequality that shows how much money you need
Kryger [21]

Answer:

x is greater than or equal to 95 $ a month

Step-by-step explanation:

6 0
3 years ago
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