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3 years ago

When would there be only four different equations for a set of math mountain numbers?

2 answers:

6 0

Only when any equation you find among those numbers can be simplified into one of the four main equations, wich means you only have four different true statements, and lots of equivalences.

AysviL [449]3 years ago

3 0

Only when any equation you find among those numbers can be simplified into one of the four main equations, which means you only have four different true statements and lots of equivalences.
For example,
20 + 20 = 40
40 - 20 = 20
40 = 20 + 20
20 = 40 - 20.
As the two addends are the same, so there would be only four different equations for a set of math mountain numbers.

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17. Let f(x) = 2x2 + 5x + 6 and g(x) = 3x2 + 4x – 10. a Find f(x) + g(x) b. Find f(x) – g(x)

nalin [4]

Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

7 0

3 years ago

Read 2 more answers

Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s

Nataliya [291]

Answer:

$f(x)=\frac{1}{2}x^2-4x+5$

Step-by-step explanation:

A parabola is written in the form

$f(x)=a((x-h)^2+k)$ (1)

where:

$h$ is the x-coordinate of the vertex of the parabola

$ak$ is the y-coordinate of the vertex of the parabola

$a$ is a scale factor

For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:

$h=4$ (2)

$ak=-3$

From this last equation, we get that $a=\frac{-3}{k}$ (3)

Substituting (2) and (3) into (1) we get the new expression:

$f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3$ (4)

We also know that the parabola contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

$-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6$

So we also get:

$a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}$

So the equation of the parabola is:

$f(x)=\frac{1}{2}((x-4)^2 -6)$ (5)

Now we want to rewrite it in the standard form, i.e. in the form

$f(x)=ax^2+bx+c$

To do that, we simply rewrite (5) expliciting the various terms, we find:

$f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5$

6 0

3 years ago

A 40 inch board is to be cut into three pieces so that the second price is 4times as long as the first piece and the third piece

Anastasy [175]

Answer:

Step-by-step explanation:

Givens

Let the first piece be x

Let the second piece 4x

Let the third piece = 5x

Total length = 40 inches.

Equation

x + 4x + 5x = 40 Combine

Solution

10x = 40 Divide by 10

10x/10 = 40/10

x = 4

Answer

The smallest piece (x) = 4

The middle piece 4x = 4*4 = 16

The largest piece 5x= 5 * 4 = 20

3 0

1 year ago

An object moving with a speed of 5m/s has a kinetic energy of 100J what is the mass of the object

Sphinxa [80]

Answer:

k. e. = 1/2 mv^2

100 = 1/2 * m * 5^2

100 = 1/2 * m * 25

m = 100* 2/25

m = 8 kg

hope it helps you

5 0

2 years ago

If you bought a stock last year for a price of $103, and it has risen 7% since then, how

Marrrta [24]

Answer:

the stock is worth $110.21

Step-by-step explanation:

The first thing you want to do is multiply 0.07 and 103, to find out what 7% of 103 is. When you multiply those two numbers you are going to get 7.21. You are then going to add 103 and 7.21 to find out how much it would be worth now.

7 0

3 years ago