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Contact [7]
3 years ago
7

Find the equation of the straight line that passes through the point (1,1/2) and has slope 1/2. Enter the equation in the point-

slope form, y-...=...(x-...)
Mathematics
1 answer:
Nataliya [291]3 years ago
5 0
\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 1}}\quad ,&{{ \frac{1}{2}}})\quad 
%   (c,d)

\end{array}
\\\quad \\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies\cfrac{1}{2}
\\ \quad \\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values}\\

\end{array}\\
\qquad \uparrow\\
\textit{point-slope form}
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seven different gifts are to be distributed among 10 children. How many distinct results are possible if no child is to receive
Alik [6]

Answer:

120 distinct results are possible if no child is to receive more than one gifts.

Step-by-step explanation:

When the order is not important, we use the combination formula:

C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.

In this problem, we have that:

Combinations of 7 from a set of 10 elements. So

C_{n,x} = \frac{n!}{x!(n-x)!}

C_{10,7} = \frac{10!}{7!(3)!} = 120

120 distinct results are possible if no child is to receive more than one gifts.

6 0
3 years ago
3 out of 4 students in Nayo's class have brought in permission slips for the next field trip. There are 32 students in the class
Marina86 [1]
8
3/4
x/32

Solve for x, = 24

Subtract 24 from 32
Also another way
4 x n = 32
n = 8
3x8 = 24
Subtract and same result
5 0
3 years ago
Read 2 more answers
16.
ss7ja [257]

The simplified polynomial that represents how many more economy cars are rented in w weeks than full-size cars is 53 - w.

<h3>Linear equation:</h3>

Linear equation is an equation in which the highest power of the variable is equals to one.

Therefore, the number of economy-size cars rented in w weeks is represented as follows:

  • 152 + 3w

The number of full-size cars rented in w weeks is represented as follows:

  • 99 + 2w

where

w = number of weeks

A  simplified polynomial that represents how many more economy cars are rented in w weeks than full-size cars is as follows:

  • 152 + 3w - (99 + 2w)
  • 152 + 3w - 99 - 2w
  • 53 - w

learn more on polynomial here: brainly.com/question/2566362

5 0
2 years ago
All numbers less than or equal to 22
alekssr [168]

Answer:

x ≤ 22

Step-by-step explanation:

≤ means less than or equal to

≥ means greater than or equal to

4 0
3 years ago
Read 2 more answers
Artaud noticed that if he takes the opposite of his age and adds 45 he gets the number 32. How old is Artaud?
elena-14-01-66 [18.8K]

Answer:

He is 13 years old

Step-by-step explanation:

32-45=-13

the opposite of -13 is positive 13

3 0
3 years ago
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