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2 years ago

how many ways are there to adjust two quantities so that they are in a given proportional relationship? Explain your reasoning.

1 answer:

7 0

The question is, "how many ways ...".

There are as many ways to solve a math problem as you can think of. (Some are shorter or easier than others.)

Essentially, an infinite number.

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A general formula for a parabola is x2 = 4py. What is the value of p in the equation x2 = 12y? p =

stepladder [879]

Answer:

p=3

Step-by-step explanation:

The given parabola has equation ;

$x^2=12y$

The general formula for a parabola is;

$x^2=4py$

To find the value of p, we need to compare the coefficient of y in both equations;

$\implies 4p=12$

Divide both sides by 4;

$\implies p=\frac{12}{4}$

$\implies p=3$

5 0

2 years ago

The sum of a rational number and an even integer is rational. A) Always True B) Sometimes True C) Usually True D) Never True

SOVA2 [1]

I think that the sum will always be a rational number
let's prove that

any rational number can be represented as a/b where a and b are integers and b≠0

and an integer is the counting numbers plus their negatives and 0
so like -4,-3,-2,-1,0,1,2,3,4....

so, 2 rational numbers can be represented as

a/b and c/d (where a,b,c,d are all integers and b≠0 and d≠0)

their sum is
a/b+c/d=
ad/bd+bc/bd=
(ad+bc)/bd

1. the numerator and denominator will be integers
2. that the denominator does not equal 0

alright
1.
we started with that they are all integers
ab+bc=?
if we multiply any 2 integers, we get an integer
like 3*4=12 or -3*4=-12 or -3*-4=12, etc.
even 0*4=0, that's an integer
the sum of any 2 integers is an integer
like 4+3=7, 3+(-4)=-1, 3+0=3, etc.
so we have established that the numerator is an integer

now the denominator
that is just a product of 2 integers so it is an integer

2. we originally defined that b≠0 and d≠0 so we're good

therefore, the sum of any 2 rational numbers will always be a rational number is the correct answer.

6 0

2 years ago

Simplify the difference. (6w^2 - 5w - 8) – (7w^2 + 4w - 2)

BlackZzzverrR [31]

Answer:

42w^2-20w^2+16

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Solve the equation using elimination. Is this a consistent, inconsistent, or dependent? What is the solution

Basile [38]

9514 1404 393

Answer:

(x, y) = (-1, -3)

Step-by-step explanation:

The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.

We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.

-4(2x -7y) +7(7x -4y) = -4(19) +7(5)

-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses

41x = -41 . . . . . simplify

x = -1 . . . . . . . divide by 41

Using the second equation, we find y to be ...

(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3

So, the solution is (x, y) = (-1, -3).

7 0

2 years ago

The formula for the surface area of a cylinder with radius r and height h is at times twice the product of the

MrMuchimi

Answer:

 $2\pi \: rh + 2\pi {r}^{2} = 2(t \times {r}^{2} )$ 

Step-by-step explanation:

The TSA of the cylinder

$2\pi \: rh + 2\pi {r}^{2}$

In Mathematics, 'is' is =

Twice means 2( )

Product means ×

So we have

$2\pi \: rh + 2\pi {r}^{2} = 2(t \times {r}^{2} )$

as the answer.

6 0

2 years ago