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timofeeve [1]
2 years ago
13

The vertex of the graph of f(x) = |x - 3| +6 is located at Done Intro

Mathematics
1 answer:
Igoryamba2 years ago
8 0

Answer:

The vertex of the graph is located at the point (3,6)

Step-by-step explanation:

Here, we want to know where the vertex of the equation if plotted will be

To get this, what we have to do is to equate the expression that we have in the absolute value to zero

After this, we then proceed to solve for the value of x

We have this as;

x -3 = 0

hence;

x = 0 + 3

x = 3

to get the y-value of the vertex, we look at the value at the side of the absolute value

This value is 6 and thus, the y-value of the vertex point is 6

So the coordinates of the vertex is (3,6)

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Agree or desagree ? short question ​
Dafna11 [192]

Answer:

Disagreee

Step-by-step explanation:

it has 6 sides so take 360/6 and you'll get 60, so it has to be rotated 60deg for it to be carried onto itself.

6 0
2 years ago
When making a fruit salad, a chef chooses 7 fruits from 10 that are in season. how many different fruit salads can the chef crea
Furkat [3]
For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.

Me must do "10 combine 7" which is written by the binomial coefficient (_{7} ^{10}); in general a binomial coefficient is written by:
(_{k} ^{n})= \frac{n!}{k!(n-k)!}

In which n and k are positive integers, such that n\ \textgreater \ k.

So, for this problem:
(_{7} ^{10})= \frac{10!}{7!(10-7)!}=\frac{10!}{7!3!}= \frac{10*9*8}{3*2}=10*3*4=120

Hence, there are 120 different ways to make the fruit salad.
5 0
2 years ago
Solve absolute value equation 2|x-3|-8=2
Semmy [17]

Answer:

x=8, -2

Step-by-step explanation:

2|x-3|-8=2

2|x-3|=10

|x-3|=5                               |x-3|=-5

x-3=5                                x-3=-5

x=8                                      x=-2

7 0
3 years ago
The value of x for which 3 (x-2) = 2 (x+1)​
netineya [11]

Answer:

x = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

3(x - 2) = 2(x + 1)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                     3x - 6 = 2x + 2
  2. Subtract 2x on both sides:          x - 6 = 2
  3. Add 6 to both sides:                    x = 8

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    3(8 - 2) = 2(8 + 1)
  2. Subtract/Add:                      3(6) = 2(9)
  3. Multiply:                               18 = 18

Here we see that 18 does indeed equal 18.

∴ x = 8 is a solution to the equation.

7 0
2 years ago
What is the lest comen demomator of 1/8 1/12 and 7/18
Bond [772]

Answer:

72

Step-by-step explanation:

18*4

12*6

8*9

5 0
3 years ago
Read 2 more answers
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