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DIA [1.3K]
2 years ago
11

Ten years ago Victors age WAs half of the age he will be in 10 years how old is he now?

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
3 0

By solving a linear equation, we will see that Victor is 30 years old.

<h3>How old is Victor now?</h3>

Let's say that Victor is x years old.

We know that 10 years ago, (x - 10), his age was half of what it will be in 10 years (x + 10).

Then we can write the linear equation:

(x - 10) = (x + 10)/2

Now we can solve that equation for x:

2*(x - 10) = x + 10

2x - 20 = x + 10

2x - x = 10 + 20

x = 30

So we conclude that Victor is 30 years old.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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Find the absolute maximum and absolute minimum values of the function f(x, y) = x 2 + y 2 − x 2 y + 7 on the set d = {(x, y) : |
dsp73

Looks like f(x,y)=x^2+y^2-x^2y+7.

f_x=2x-2xy=0\implies2x(1-y)=0\implies x=0\text{ or }y=1

f_y=2y-x^2=0\implies2y=x^2

  • If x=0, then y=0 - critical point at (0, 0).
  • If y=1, then x=\pm\sqrt2 - two critical points at (-\sqrt2,1) and (\sqrt2,1)

The latter two critical points occur outside of D since |\pm\sqrt2|>1 so we ignore those points.

The Hessian matrix for this function is

H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}

The value of its determinant at (0, 0) is \det H(0,0)=4>0, which means a minimum occurs at the point, and we have f(0,0)=7.

Now consider each boundary:

  • If x=1, then

f(1,y)=8-y+y^2=\left(y-\dfrac12\right)^2+\dfrac{31}4

which has 3 extreme values over the interval -1\le y\le1 of 31/4 = 7.75 at the point (1, 1/2); 8 at (1, 1); and 10 at (1, -1).

  • If x=-1, then

f(-1,y)=8-y+y^2

and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).

  • If y=1, then

f(x,1)=8

which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

  • If y=-1, then

f(x,-1)=2x^2+8

which has 3 extreme values, but the previous cases already include them.

Hence f(x,y) has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

3 0
3 years ago
How many different ways can six people be arranged in a line?
lesantik [10]
There are six people which means that each person can be arranged in 6 various arrangements

6×6=36

Answer: There can be 36 different ways for 6 people to be arranged 


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3 years ago
To decrease an amount by 24% what single multiplier would you use
guapka [62]
100-24=76
76%=76/100=0.76
single multiplier=0.76
5 0
3 years ago
5.4 divided 0.12 show work on how you got the ansswer
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5.4 divide by 0.12 equals 45
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The order of the scale drawings from smallest to largest is

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Largest

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Given the following scales:

1 in to 1 ft

1 in to 1 m

1 in to 1 yd

We are to arrange the scales from smallest to largest.

Since 1 in is used as the base conversion for all the scales, we can convert the other scales to yards for consistency's sake.

Convert 1m to yards

1m = 1.1yards (From the question)

Convert 1ft to yards. According to conversion factor;

1 feet = 0.333333 yards

Ordering the scales from smallest to largest will give

0.33333yard (1 in to 1 ft), 1 yard (1 in to 1 yd), 1.1yards (1 in to 1 m)

Learn more here: brainly.com/question/14348682

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2 years ago
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