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2 years ago

What is the value of x and y?

Mathematics

1 answer:

ladessa [460]2 years ago

5 0

Answer:

x=16 and y=9

Step-by-step explanation:

2y+30=3y+21[Diagonals of parallelogram are equal]

30-21=3y-2y

y=9

3y=2x-5[Diagonals of parallelogram are equal]

3×9=2x-5

27=2x-5

2x=27+5

x=32/2=16

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If k=9 and x=5, find the value of the expression: <br> 2k - X<br><br> Please hurry

il63 [147K]

Answer:

$\huge\boxed{13}$

Step-by-step explanation:

= 2k - x

Given that k = 9, x = 5

= 2(9) - 5

= 18 - 5

= 13

$\rule[225]{225}{2}$

Hope his helped!

8 0

3 years ago

Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people. 36 p

Alenkasestr [34]

Answer:

C. 1/4 lb of chicken per person

Step-by-step explanation:

Find the rate of change for the situation.

A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

A. 9/17lb per person

B. 4 lb per person

C. 1/4 lb per person

D. 36 people

Solution

9 lbs of chicken for 36 people

Chicken per person = Total lbs of chicken / Total number of people

= 9 lbs / 36 people

Chicken per person = 1/4 lb of chicken per person

17 lbs of chicken for 68 people

Chicken per person = Total lbs of chicken / Total number of people

= 17 lbs / 68 people

= 1/4 lb of chicken

Chicken per person = 1/4 lb of chicken per person

Therefore, the rate of change of the situation = 1/4 lb of chicken per person

6 0

3 years ago

Find the difference of 5 7/8 - 1/4

otez555 [7]

Answer:

5 5/8

Step-by-step explanation:

i hope this helped have a good one

3 0

3 years ago

A card is randomly drawn from a standard $52$-card deck. An ace of hearts wins the grand prize; any other ace or heart wins a sm

gogolik [260]

Answer:

3/52

Step-by-step explanation:

4 0

2 years ago

*Asymptotes*<br> g(x) =2x+1/x-3 <br><br> Give the domain and x and y intercepts

Nataly [62]

Answer: Assuming the function is $g(x)=\frac{2x+1}{x-3}$ :

The x-intercept is $(\frac{-1}{2},0)$ .

The y-intercept is $(0,\frac{-1}{3})$ .

The horizontal asymptote is $y=2$ .

The vertical asymptote is $x=3$ .

Step-by-step explanation:

I'm going to assume the function is: $g(x)=\frac{2x+1}{x-3}$ and not $g(x)=2x+\frac{1}{x}-3$ .

So we are looking at $g(x)=\frac{2x+1}{x-3}$ .

The x-intercept is when y is 0 (when g(x) is 0).

Replace g(x) with 0.

$0=\frac{2x+1}{x-3}$

A fraction is only 0 when it's numerator is 0. You are really just solving:

$0=2x+1$

Subtract 1 on both sides:

$-1=2x$

Divide both sides by 2:

$\frac{-1}{2}=x$

The x-intercept is $(\frac{-1}{2},0)$ .

The y-intercept is when x is 0.

Replace x with 0.

$g(0)=\frac{2(0)+1}{0-3}$

$y=\frac{2(0)+1}{0-3}$

$y=\frac{0+1}{-3}$

$y=\frac{1}{-3}$

$y=-\frac{1}{3}$ .

The y-intercept is $(0,\frac{-1}{3})$ .

The vertical asymptote is when the denominator is 0 without making the top 0 also.

So the deliminator is 0 when x-3=0.

Solve x-3=0.

Add 3 on both sides:

x=3

Plugging 3 into the top gives 2(3)+1=6+1=7.

So we have a vertical asymptote at x=3.

Now let's look at the horizontal asymptote.

I could tell you if the degrees match that the horizontal asymptote is just the leading coefficient of the top over the leading coefficient of the bottom which means are horizontal asymptote is $y=\frac{2}{1}$ . After simplifying you could just say the horizontal asymptote is $y=2$ .

Or!

I could do some division to make it more clear. The way I'm going to do this certain division is rewriting the top in terms of (x-3).

$y=\frac{2x+1}{x-3}=\frac{2(x-3)+7}{x-3}=\frac{2(x-3)}{x-3}+\frac{7}{x-3}$

$y=2+\frac{7}{x-3}$

So you can think it like this what value will y never be here.

7/(x-3) will never be 0 because 7 will never be 0.

So y will never be 2+0=2.

The horizontal asymptote is y=2.

(Disclaimer: There are some functions that will cross over their horizontal asymptote early on.)

6 0

3 years ago