How to solve 42-13 1/6

Answers

Answer 1

Answer: $42-13(1)/(6)=42-13-(1)/(6)=29-(1)/(6)=28+1-(1)/(6)=28+(6)/(6)-(1)/(6)\n\n=28+(6-1)/(6)=28+(5)/(6)=28(5)/(6)\n\n==========================\n\nshort:\n\n42-13(1)/(6)=41(6)/(6)-13(1)/(6)=28(5)/(6)$

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Using the completing-the-square method, find the vertex of the function f(x) = –2x2 + 12x + 5 and indicate whether it is a minimum or a maximum and at what point.. .

Answers

f ( x ) = - 2 x² + 12 x + 5 = - 2 ( x² - 6 x ) + 5 = - 2 ( x² - 6 x + 9 - 9 ) + 5 =
- 2 ( x² - 6 x + 9 ) + 18 + 5 = - 2 ( x - 3 )² + 23
f ( x ) = a ( x - k )² + h ( the vertex form ), k = 3, h = 23.
a = - 2 < 0, that means the vertex coordinates ( 3, 23 ) represents a maximum.

Answer:

3,23 maximum

Step-by-step explanation:

Is it possible for a composite number to have more then o e prime factorization ? and is it possible for a number to have no prime factorization

Answers

1. No, because every prime factor can not be prime factorized again. It could have more factorizations, but at least one of the factors would be a composite number which is the product of at least two of the prime factors.
2. Prime numbers and 1 do not have their prime factorization.

A chef prepared five chocolate tortes for a dinner party. The guests consumed 2 5/16 tortes. How manytortes are left?
A. 3 11/16
B. 2 9/16
C. 3 9/16
D. 2 11/16

Answers

If you would like to know how many tortes are left, you can calculate this using the following steps:

five chocolate tortes - 2 5/16 tortes = 5 - 2 5/16 = 5 - 37/16 = 80/16 - 37/16 = 43/16 = 2 11/16

The correct result would be D. 2 11/16.

Number of left tortes are, 43/16

We have to given that,

A chef prepared five chocolate tortes for a dinner party.

And, The guests consumed 2 5/16 tortes.

Now, Number of left tortes are,

⇒ 5 - 2 5/16

⇒ 5 - 37/16

⇒ (80 - 37) / 16

⇒ 43/16

Therefore, Number of left tortes are, 43/16

Learn more about the subtraction visit:

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A system of equations is shown below: 5x + 2y = 3 (equation 1) 2x − 3y = 1 (equation 2) A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?

Answers

The new system of equations the student can use for the proof is:

7x - y = 4

2x - 3y = 1

What is the Solution to a System of Equations

The solution is simply the value of x and y that makes both equations true in the system.

Given:

5x + 2y = 3 --> eqn. 1

2x - 3y = 1 --> eqn. 2

Replacing equation 1 with the sum of eqn. 1 and a multiple of eqn. 2, we would have:

7x - y = 4

Therefore, the new system of equations the student can use for the proof is:

7x - y = 4

2x - 3y = 1

Learn more about the system of equations on:

brainly.com/question/13729904

Answer:

Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Step-by-step explanation:

Given System of equations is 5x + 2y = 3 (equation 1) and 2x - 3y = 1 (equation 2)

Second System of equations is 2x - 3y = 1 and 7x - y = 4

How we got 7x - y = 4

Step 1: Multiply 2x - 3y = 1 by 1, we get the same 2x - 3y = 1

Step 2: Add 5x + 2y = 3 with 2x - 3y = 1

5x + 2x + 2y - 3y = 1

7x - 3y = 1

We have got second equation 7x - 3y = 1

Thus, Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

A system of equations is shown below:y = 3x − 7
y = 2x + 1

What is the solution to the system of equations?
(8, 17) (−8, 17) (−8, −17) (8, −17)
x

Answers

Hi Brainiac

y=3x-7

y=2x+1

We need to solve y=3x-7 for y

Now let's start by substitute 3x-7 for y in y=2x+1

y=2x+1

3x-7=2x=1

Now add -2x

3x-7-2x=2x+1-2x

x-7=1

Add 7

x-7+7=1+7

x=8

Our last step is to substitute 8 for x in y=3x-7

y=3x-7

y=(3)(8)-7

y= 24-7

y= 17

Answer : A

I hope that's help:)

Answer: The answer is A

I took the test and got it right.

The sum of 5x and 2x is at least 14

Answers

$5x+2x\geq14\n7x\geq14\nx\geq2$

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