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jeka57 [31]
2 years ago
15

Solve for the inequality 2(m-3) +7<21

Mathematics
1 answer:
Hoochie [10]2 years ago
7 0

Answer:

2m-6 +7<21

2m+1<21

2m<20

m<10

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What is the vertex of the graph of the function below? y = x2 - 8x + 12 A. (-2, 0) B. (-4, -4) C. (-4, 0) D. (-2, -4)
mario62 [17]
To find the vertex of the parabola, we need to write it in a vertex form.

y=x² - 8x +12 

1) complete the square

y=x² - 8x +12 
y = x² -2*4x + 4² - 4² +12
y=(x-4)²  -16 +12

2) calculate and write a vertex
y=(x-4)²  -16 +12
 y=(x-4)²  - 4

(x-4)           -----     x- coordinate of the vertex x=4
 y=(x-4)²  - 4    -------y- coordinate of the vertex  y = -   4 
  
Vertex is (4, -4).
Answer is (4, -4).  No correct answer is given in choices. 

7 0
2 years ago
2x-8=4(x+1). Solve for X please!
julsineya [31]

Answer:

-6 = x

Step-by-step explanation:

2x-8=4(x+1)

Distribute

2x -8 = 4x+4

Subtract 2x

2x-8-2x = 4x-2x+4

-8 = 2x+4

Subtract 4

-8-4 = 2x+4-4

-12 = 2x

Divide by 2

-12/2 = 2x/2

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6 0
2 years ago
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2/3 of a class are girls. A) what is the ratio girls to boys in the class? B) what is the ratio boys to girls in the class
tekilochka [14]

a) 2:1

b) 1:2

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5 0
3 years ago
2.50c+6a=6344.50 <br> Find each variable
Ksju [112]

Answer:

c=2.4a+2537.8

a=-2.5/6c+1057.4

Step-by-step explanation:

solve for c:

2.50c+6a=6344.50

          -6a         -6a

2.50c=-6a+6344.50

/2.50       /2.50      /2.50

c=2.4a+2537.8

solve for a:

2.50c+6a=6344.50

-2.5c                -2.5c

6a=-2.5c+6344.50

/6       /6       /6

a=-2.5/6c+1057.4

6 0
3 years ago
What does the numerator of the fraction 1 /2 fraction mean?
olya-2409 [2.1K]

Answer:

1/2

2 is the total parts. you can visualise it as a circle or another form of a diagram. so theres 2 parts. 1 might mean one segmented is shaded or cut depending on the context

7 0
3 years ago
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