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aleksklad [387]

3 years ago

14

Draw a graph of a direct proportion y=2x. Using the graph, find: x for y=7 PLEASE HELP I HAVE 20 MINUTES LEFT

1 answer:

kotykmax [81]3 years ago

8 0

Answer:

3.5

Step-by-step explanation:

tell me if im right

You might be interested in

What is the answer to this 3(k−6)=15

Alchen [17]

Answer:

11

Step-by-step explanation:

First distribute the 3 to both the numbers inside of the parentheses:

3(k)-3(6)=15

3k-18=15

Add 18 to both sides

3k=33

Divide 3 from both sides to isolate k

k=11

5 0

3 years ago

The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is . What is the standard form of the

kvasek [131]

Answer:

Point-Slope form: $y+1=-\frac{6}{15}(x+5)\\$

standard form: $2x+5y=-15$

Step-by-step explanation:

The standard form is given by: $Ax+By=C$

The point-slope form is given by: $y-y_1=m(x-x_1)$

<em>Let's call $(-5,-1)$ as point $(x_1,y_1)$ , and</em>

<em>point $(10,-7)$ as point $(x_2,y_2)$ </em>

<em>We also know that the slope $m$ is given by $m=\frac{y_2-y_1}{x_2-x_1}$ </em>

Let's find the slope:

$m=\frac{-7-(-1)}{10-(-5)}=-\frac{6}{15}$

1. So, point slope form can be written as:

$y-(-1)=-\frac{6}{15}(x-(-5))\\y+1=-\frac{6}{15}(x+5)\\$

2. Rearranging this equation and bringing all x's and y's to one side and the number to another side will give us the standard form. So:

$y+1=-\frac{6}{15}x-2\\y+\frac{6}{15}x=-2-1\\y+\frac{6}{15}x=-3$

<em>But A, B, and C (standard form) needs to be integers, so to get rid of the denominator , we multiply the whole equation by 15. So we have:</em>

$y+\frac{6}{15}x=-3\\15y+6x=-45$

<em>We can factor out a 3, so it becomes:</em>

$15y+6x=-45\\5y+2x=-15$

So standard form is $2x+5y=-15$

8 0

4 years ago

What are the equations of the asymptotes of the graph of f(x)=(5/x+7)−8 ?

ludmilkaskok [199]

Answer:

$\mathrm{Vertical}:\:x=0,\:\mathrm{Horizontal}:\:y=-1$

The graph of the function is also attached.

Step-by-step explanation:

Considering the expression

$\:f\left(x\right)=\left(\frac{5}{x}+7\right)-8\:\:$

$\mathrm{Simplify}\:\frac{5}{x}+7-8:\quad \frac{5}{x}-1$

$\mathrm{Vertical\:asymptotes\:of\:}\frac{5}{x}-1:$

Go over every undefined point x = a and check if at least one of the following statement is true.

$\lim _{x\to a^-}f\left(x\right)=\pm \infty$

$\lim _{x\to a^+}f\left(x\right)=\pm \infty$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{5}{x}-1\mathrm{\:and\:compare\:to\:zero}$

$x=0$

The following points are undefined

$x=0$

$\mathrm{The\:vertical\:asymptotes\:are:}$

$x=0$

$\mathrm{Horizontal\:Asymptotes\:of\:}\frac{5}{x}-1:$

$\mathrm{Check\:if\:at\:}x\to \pm \infty \mathrm{\:the\:function\:}y=\frac{5}{x}-1\mathrm{\:behaves\:as\:a\:line,\:}y=mx+b$

$\mathrm{Find\:an\:asymptote\:for\:}x\to -\infty \::$

$\lim _{x\to -\infty \:}\frac{f\left(x\right)}{x}=\lim _{x\to -\infty \:}\frac{\frac{5}{x}-1}{x}=0$

$\lim _{x\to -\infty \:}f\left(x\right)-mx=\lim _{x\to -\infty \:}\frac{5}{x}-1-0x=-1$

$y=-1$

$\mathrm{Find\:an\:asymptote\:for\:}x\to \infty:$

$\lim _{x\to \infty \:}\frac{f\left(x\right)}{x}=\lim _{x\to \infty \:}\frac{\frac{5}{x}-1}{x}=0$

$\lim _{x\to \infty \:}f\left(x\right)-mx=\lim _{x\to \infty \:}\frac{5}{x}-1-0x=-1$

$y=-1$

$\mathrm{The\:horizontal\:asymptote\:is:}$

$y=-1$

Therefore,

$\mathrm{Vertical}:\:x=0,\:\mathrm{Horizontal}:\:y=-1$

The graph of the function is also attached.

6 0

4 years ago

Read 2 more answers

the sum of twice a number and 18 less than the number is the same difference between -30 and the number. What is the number?

trasher [3.6K]

X - the number

$2x+x-18=-30-x \\
3x-18=-30-x \\
3x+x=-30+18 \\
4x=-12 \\
x=\frac{-12}{4} \\
x=-3$

The number is -3.

4 0

3 years ago

Jenelle and three of her friends bought four smoothies for a total of three dollars. If she purchased smoothies on another day f

Gnesinka [82]

easy peasy

$3 divide by 4 smoothies to give you the price of each individual smoothie

comes out to .75 cents

now 9 times .75 cents equals 6.75 plus .75 cents because she bought a smoothie for herself

comes out to be $7.50

4 0

4 years ago