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frosja888 [35]
3 years ago
10

Simon says "five time my age 4 years ago is the same as three time my age in 2 years" how old is simon

Mathematics
1 answer:
omeli [17]3 years ago
7 0

Simon is 13 years old

Let x be Simon's age

Thus 4 years ago his age was (x - 4) and 2 years from now his age is (x + 2)

Hence 5(x - 4) = 3(x + 2)

distributing both sides gives

5x-20 = 3x + 6

subtract 3x from both sides of the equation

5x - 3x - 20 = 6

2x - 20 = 6

add 20 to both sides

2x = 6 + 20 = 26

divide both sides by 2

x = \frac{26}{2} = 13

Simon is 13 years old


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3 years ago
The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

-2x^2+4x=-1.  Now we factor out the -2:

-2(x^2-2x)=-1.  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

-2(x^2-2x+1)=-1-2.  Simplifying gives us this:

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

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

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

From this form,

y=-a(x-h)^2+k

you can determine the coordinates of the vertex to be (1, 3)

5 0
3 years ago
Read 2 more answers
Convert the angle 0=23/20 radians to degrees,
MrRa [10]

Answer:

207°

Step-by-step explanation:

3 0
2 years ago
The speeds (in miles per hour) of motorists ticketed during one day on a five-mile stretch of highway are
Inga [223]

Answer:

19

Step-by-step explanation:

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8 0
3 years ago
Mrs. Gregory, the golf course superintendent at a country club, plans to reseed the putting green of the first hole. The circula
WITCHER [35]

Answer:

The area of the putting green is 1133.5 square feet.

Step-by-step explanation:

Area of a circle:

The area of a circle is given by:

A = \pi r^2

In which r is the radius, which is half the diameter.

The circular putting green has a diameter of 38 ft.

This means that r = \frac{38}{2} = 19

What is the area of the putting green?

A = \pi r^2 = 3.14 * 19^2 = 1133.5

The area of the putting green is 1133.5 square feet.

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3 years ago
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