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Svetach [21]
3 years ago
10

Some equations have the form y=kx, where k is a number.

Mathematics
1 answer:
kumpel [21]3 years ago
5 0

Answer:

y=x+3

Step-by-step explanation:

The equation "y=x+3" cannot be written in the form y=kx because <u><em>the form </em></u><u><em>doesn't use addition</em></u><u><em> as a basic operation.</em></u> Let's try verifying the choices:

y=x is possible<em> </em>if the value of k is 1, provided that both y and x are of the same value.

y/2=x is possible because y=2x, provided that 2 is the value of k.

y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.

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What is the unit rate of 232 people in 8 classrooms?
IceJOKER [234]

Answer:

29 people - 1 classroom

Step-by-step explanation:

232 / 8 = 29

Answer - 29

8 0
3 years ago
Read 2 more answers
What is the slope intercept form for the equation of the line provided?
denis-greek [22]

1. The slope intercept form is:

y=mx+b

Where m is the slope of the line and b is the intercept with the y-axis.

2. To calculate the slope, you can use the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

Where:

y_2=-1\\y_1=\frac{15}{2}\\x_2=\frac{1}{8}\\x_1=-2

3. So:

m=\frac{-1-(\frac{15}{2})}{\frac{1}{8}-(-2)}=-4

4. Now you must find b. Substitute any of the given points into the equation and solve for b:

\frac{15}{2}=-4(-2)+b\\\frac{15}{2}=8+b\\b=-\frac{1}{2}

5. Therefore, the answer is the last option:

y=-4x-\frac{1}{2}

4 0
3 years ago
Find the value of x.<br> 8:5 = 1/x:1
tatiyna

Answer:x=61

Step-by-step explanation​

 

856−5x3{131}=2

8(x−9)+5(5−18)+1(15−6x)=2

8x−72−65+15−6x=2

2x=122

x=61

sorry if i'm wrong

5 0
2 years ago
Using the letters in the word INNOVATIVE, find the number of permutations that can be formed using 4 letters at a time. Show you
lyudmila [28]

Answer:  1) 5040 and 2) 165

Step-by-step explanation:

1) Here total number of letters = 10

The number of permutations that can be formed using 4 letters at a time

= P (10, 4)

= 10_P_4

= \frac{10!}{(10-4)!}

=  \frac{10!}{6!}

= \frac{10\times 9\times 8\times 7\times 6!}{6!}

= 10 × 9 × 8 × 7

= 5040

2) Here the total number of machine = 11

The different combinations of machines can Geoff choose from to use

= 11_C_3

= \frac{11!}{(11-3)!3!}

= \frac{11!}{8!3!}

= \frac{11\times 10\times 9\times 8!}{8!\times 6}

= 11 × 5 × 3

= 165

5 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 2x+3y=21. Fully simplify your answer.
erastova [34]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

2x+3y=21\implies 3y=-2x+21\implies y=\cfrac{-2x+21}{3} \\\\\\ y=\cfrac{-2x}{3}+\cfrac{21}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

therefore then

\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}

3 0
2 years ago
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