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Galina-37 [17]
3 years ago
15

Write any equation in slope intercept form that has a slope of3/2 and passes through (2,7)

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0

slope intercept form - (y = mx + b)

slope (m) is (3/2) So, y = 3/2x + b

To find b you plug in the x and y value (2,7)
7 = 3/2 × 2 + b

Isolate x on one side by finding the value of 3/2 × 2 which is 3.

Subtract 3 from both sides which leaves you with 4 = b, so the value of b is 4

Now the slope intercept form is (y = 3/2x + 4)
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Need your guyzes halp, no false answers and I will give you most of my points
Alex17521 [72]

Answer$32

Step-by-step explanation:

125 divided by 2 = 31.25 +00.05+32

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2 years ago
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A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so
mamaluj [8]

Answer:

1) Is the pattern an arithmetic sequence?​

Yes it is

2)Identify a and d.​

a = First term = 2

d = Common difference = 2

3) Write the 50th term of the sequence.​

50th term = 100

4) Find the total number of logs in the first 10 rows.​

= 1010 logs

Step-by-step explanation:

Is the pattern an arithmetic sequence?​

Yes it is

2) Identify a and d.​

A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,

The formula for arithmetic sequence =

an = a+ (n - 1)d

a = First term

d = Common difference

For the above question:

a = 2

d = Second term - First term

= 4 - 2

d = 2

3) Write the 50th term of the sequence.​

Using the formula for arithmetic sequence

an = a+ (n - 1)d

a = 2

n = 50

d = 2

a50 = 2 + (50 - 1)2

= 2 + (49)2

= 2 + 98

= 100

The 50th term = 100

4)Find the total number of logs in the first 10 rows.​

Sum of first n terms = n/2(a + l)

n = 10

a = first term = 2

We are told that there are 200 logs in the bottom row, hence:

l = last term = 200 logs

Hence,

Sn = 10/2×[ (2 + 200

= 5(202)

= 1010 logs

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3 years ago
A farmer is going to divide her 30 acre farm between two crops. Seed for corn costs $15 per acre. Seed for wheat costs $30 per a
Deffense [45]

Answer:

$3200

Step-by-step explanation:

The total area of land is 30 acre. Let x represent the area in acre that corn is planted and y represent the area in acre that wheat is planted. Therefore:

x + y = 30               (1)

Also, the farmer can spend at most $750 on seeds. Corn cost $15 per acre, maize cost $30 per acre. Hence:

15x + 30y ≤ 750      (2)

Also, x and y > 0

The profit is given by the function:

Profit = 100x + 110y

Graphing equation 1 and equation 2 and solving, we get the points:

(10, 20)

Hence the maximum profit is at:

Max profit = 100(10) + 110(20) = $3200

8 0
3 years ago
I only need Q d please (the last question)
irinina [24]

Answer:

December at -10

Step-by-step explanation:

first you rule out all positive numbers

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3 years ago
Please help on number 3.
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Plug in 50 for x on the equation for the trend line
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