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Nostrana [21]
1 year ago
9

Simplify 3 + [5n - (2-n)]

Mathematics
1 answer:
melisa1 [442]1 year ago
3 0

Answer:

6n+1

Step-by-step explanation:

Eliminate the parenthesis by changing the symbol of each term inside

3+[5n-2+n]

Eliminate the bracket and group similar terms

5n+n+3-2

Simplify terms

6n+1

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Which statement are true based on the diagram? Select 2 options
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Answer:

second and last are true

Step-by-step explanation:

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2 years ago
What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
lbvjy [14]

Answer:

The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)

Step-by-step explanation:

Focus: F=(3,1)=(xf, yf)→xf=3, yf=1

Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:

f(x)=[1 / (4p)] (x-h)^2+k

where Vertex: V=(h,k)

The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:

Vertex is the midpoint between (3,5) and (3,1):

h=(3+3)/2→h=6/2→h=3

k=(5+1)/2→k=6/2→k=3

Vertex: V=(h,k)→V=(3,3)

p=yf-k→p=1-3→p=-2

Replacing the values in the equation:

f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3

f(x)=[ 1 / (-8) ] (x-3)^2 + 3

f(x)= - (1/8) (x-3)^2 + 3

4 0
3 years ago
How much dirt is in a hole 5 feet wide, 2 feet long, and 3 feet deep?
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Answer:

30 ft of dirt.

Step-by-step explanation:

We want to know the volume, or the capacity, of the hole.

The formula for volume is to multiply the length, width, and height.

l x w x h

2 x 5 x 3 = 30

So there is 30 ft of dirt in the hole.

plz mark brainliest if this helped :)

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3 years ago
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