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Grace [21]
3 years ago
12

What is the equation of the line that passes through the point (3,2) and has a slope of 2/3 ​

Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0

Answer:

y= ⅔x +1

Step-by-step explanation:

(3,2) = (x_1,y_1) \\  m =  \frac{2}{3}

Substitute values into point slope form

y -y_1 = m(x - x_1) \\ y - 2 =  \frac{2}{3} (x - 3) \\ y - 2 =  \frac{2}{3} x - 1 \\

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

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What are the domain and range of the function f(x) = 3/4x + 5?
pantera1 [17]

Answer:

Domain = (-∞,∞)

Range = (-∞,∞)

This is a linear function.

So, if you were to graph this you'd know that it crosses the x and y axis and continues on forever without stopping.

in that case the domain and range are considered infinite on both axes.

3 0
3 years ago
Translate f(x)= |x| so that it's translated up by 5 units and vertically stretched by a
natta225 [31]
B because I’ve done this before
4 0
2 years ago
The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Judy attended all of the sessions thi
lbvjy [14]

The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Then the, total number of minutes Judy worked out for the week was 155 minutes.

We are to determine the total number of minutes Judy worked out for the week.

The gym holds three 45-minute workout sessions and two 30-minute sessions each week

So,

We can write,

The total number of minutes the gym holds workout sessions is

3 × 45 + 2 × 30

= 135 + 60

= 195 minutes

Also, from the information,

Judy left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions.

The total number of minutes Judy didn't attend is

= 3 × 10 + 2 × 5

= 30 + 10

= 40 minutes

Then,

The total number of minutes Judy worked out for the week was,

= 195 minutes - 40 minutes

= 155 minutes

Therefore,

The total number of minutes Judy worked out for the week was 155 minutes.

To learn more about visit Calculating time :

brainly.com/question/28523225

#SPJ1

5 0
1 year ago
Window design. A triangular window on Ross camp's new scary boat has two sides that measure 87 centimeters 64 centimeter, respec
krek1111 [17]
Since the perimeter must not exceed 291.
Let the third side be x.

x + 87 + 64  < 291
x + 151 < 291.
x            < 291 -151.
x   <  140.      (First)

But for a triangle there is what is called the Triangle Inequality Theorem.  That given  the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.

So for this case.   87 and 64.

x  > ( 87 - 64).    x  > 23.
x < (87 + 64)      x  <  151. Combine both inequalities.

       23  < x < 151  (second).

Combining First and second. Both must be satisfied.
So we have  a more accurate answer as:


23 < x < 140.      x is greater than 23 and x is less than 140.

x  could be    24, 25, 26, 27, ......, 139.  cm.

I hope this helps.
3 0
3 years ago
Read 2 more answers
What 10+1/3y=1 equal to​
stepladder [879]

Answer:

y=11/3

Step-by-step explanation:

just 10 plus 1 gives 11 and crisscrossing and will get 3y=11 and dividing both sides by 3 to get y free then will get y=11/3

3 0
2 years ago
Read 2 more answers
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