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3 years ago

Solve each equation 4y-x=16

Mathematics

1 answer:

miskamm [114]3 years ago

6 0

4y= x + 16

y= (1/4)x +4

-x = -4y + 16

x = 4y - 16

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Suppose we want to choose 5 objects, without replacement, from 13 distinct objects. (a) How many ways can this be done, if the o

Arisa [49]

Answer:

A. 1, 287 ways

B. 154,440 ways

Step-by-step explanation:

A. We want to choose 5 objects from a total 13, without considering the order in which they are chosen.

The correct way to do this is by using the combination formula since order is not considered;

Thus we have ; 13 C 5 read as 13 combination 5;

Mathematically, n C r is ; n!/(n-r)!r!

Thus, we have ;

13!/(13-8)!8! = 13!/5!8! = 1,287 ways

B. By considering order, we shall be using the permutation formula;

Mathematically n P r = n!/(n-r)!

Read as n permutation r;

Using the numbers involved, we have ; 13 P 5

= 13!/(13-5)! = 13!/8! = 154,440 ways

8 0

3 years ago

Find the distance between the points. Round to the nearest tenth if necessary.<br> (4,3)<br> |(1,-1)

user100 [1]

Three between the x values and four between the y values

8 0

3 years ago

How to convert nonlinear equation to linear equation?

9966 [12]

Let's take the non-linear equation:
${x}^{2} = \sqrt{3} y$
First Make The Equation To Be In Terms of Y

*Divide Both sides by
$\sqrt{3}$
$\frac{ {x}^{2} }{ \sqrt{3} } = \frac{ \sqrt{3} y}{ \sqrt{3} }$
*Simplify
$\frac{ {x}^{2} }{ \sqrt{3} } = y$
You shouldn't keep a radical in the denominator, however we leave it for the purpose of the reciprocal.

*Take The Reciprocal Of Both Sides
$\frac{ \sqrt{3} }{ {x}^{2} } = \frac{1}{y}$
A Linear Equation Takes The Format:
$y = mx + b$
So,
$\frac{1}{y} = y$
$b = 0$
$m(slope) = \frac{ \sqrt{3} }{x}$
$x = \frac{1}{x}$
Resulting in :
$\frac{1}{y} = \frac{ \sqrt{3} }{x} (\frac{1}{x} ) + 0$

4 0

3 years ago

Question 2. I have another question on my feed. Please help me solve!!!!

Maru [420]

Answer:

A' (11, 4), B' (-10, -6), C' (7, -9)

Step-by-step explanation:

Since you are reflecting over the y-axis, you take the opposite of the x value. So if the x is positive, make it negative. If the x is negative, make it positive. The y coordinate stays the same.

4 0

3 years ago

What is the degree of the polynomial below?

cupoosta [38]

Answer:

The answer is D. 7

Step-by-step explanation:

the degree of polynomial is 7

8 0

3 years ago