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goldfiish [28.3K]
2 years ago
9

Factorize: 3x²+54x + 243​

Mathematics
1 answer:
Andrew [12]2 years ago
8 0

Answer:

3(x + 9)(x + 9)

Step-by-step explanation:

  1. 3x^2 + 54x + 243
  2. 3(x^2 + 18x + 81)

a + b = 18

a + b = 81

a= = 9, b = 9

3. 3(x + 9)(x + 9)

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How many pounds of chocolate worth $1.5 a pound must be mixed with 10 pounds of chocolate worth 60 cents a pound to produce a mi
Mashcka [7]

Answer:

8\ pounds

Step-by-step explanation:

Let

x-----> amount of pounds of chocolate worth $1.5

we know that

1.5x+0.60(10)=1(x+10)

1.5x+6=x+10

1.5x-x=10-6

0.5x=4

x=8\ pounds

8 0
3 years ago
Read 2 more answers
A car travels 20 1/2 miles in 2/3 of an hour. What is the average speed, in miles per hour, of thr car?
zmey [24]

Answer:

27.33333... mph

Step-by-step explanation:

Find 1/3 of 20 1/2: 1/3*41/2=41/6

That equals 6.83333...

Now add 20 1/2 and 6.83333 = 27.3333...

Therefore, 27.33333... mph

3 0
3 years ago
Please help with this and explain how to do it, I'll give 15 points
MrRissso [65]

Answer:

Option (4).

Step-by-step explanation:

Outer diameter of the hollow metallic ball = 10 centimeters

Outer radius of this ball = \frac{10}{2} = 5 cm

Volume of the outer ball V_{1} = \frac{4}{3}\pi (r)^3

                                         = \frac{4}{3}\pi (5)^3

Inner radius of the hollow metallic ball = (5 - 1) = 4 cm

Volume of the inner hollow ball V_{2} = \frac{4}{3}\pi (4)^3

Volume of the metal used in the metallic ball = V_{1}-V_{2}

                                                                           = \frac{4}{3}\pi (5)^3-\frac{4}{3}\pi (4)^{3}

                                                                           = \frac{4}{3}\pi [(5)^3-(4)^3]

Therefore, expression given in option (4) will be used to measure the volume of the hollow metallic ball.

8 0
3 years ago
How do you divide positive and negative fractions?​
adell [148]

Answer:

Find the reciprocal of the divisor, or second fraction.

Multiply the numerators together.

Multiply the denominators together.

Simplify the answer if possible.

Determine if the answer is positive or negative using the sign rules.

Step-by-step explanation:

4 0
3 years ago
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and he's helping his friend Eddie is helping his friend understand how to identify functions from sets of ordered pairs which se
irakobra [83]
<h2>Answer:</h2>

First of all, let's define what a function is:

A function f from a set A to a set B is a relation that assigns to each element x in the set A exactly one element y in the set B. The set A is the domain (also called the set of inputs) of the function and the set B contains the range (also called the set of outputs).

The ordered pairs has been plotted below. As you can see, the set B is the only relation that meets the requirements of the concept of function because that relation assigns each element x in the set A exactly one element y in the set B. For the other sets, at least one element x in the set A matches to two or more elements y in the set B.

6 0
3 years ago
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