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kati45 [8]
3 years ago
14

Graph the line that has a slope of 1/4 and includes the point (0,8)

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0

Step-by-step explanation:

Equation of line:

y = mx + c

where m is the slope

and c is the y-intercept (the value of y when x = 0)

In this case, given the slope = 1/4

and y-intercept is 8 (from the point (0,8))

The equation of the following line is:

y =  \frac{1}{4} x + 8

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The question is in the picture.
dangina [55]
<h2><u>Part A:</u></h2>

Let's denote no of seats in first row with r1 , second row with r2.....and so on.

r1=5

Since next row will have 10 additional row each time when we move to next row,

So,

r2=5+10=15

r3=15+10=25

<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>

r1=5=5+0=5+0×10=5+(1-1)×10

r2=15=5+10=5+(2-1)×10

r3=25=5+20=5+(3-1)×10

<u>So for nth row,</u>

rn=5+(n-1)×10

Since 5=r1 and 10=common difference (d)

rn=r1+(n-1)d

Since 'a' is a convention term for 1st term,

<h3><u>⇒</u><u>rn=a+(n-1)d</u></h3>

which is an explicit formula to find no of seats in any given row.

<h2><u>Part B:</u></h2>

Using above explicit formula, we can calculate no of seats in 7th row,

r7=5+(7-1)×10

r7=5+(7-1)×10 =5+6×10

r7=5+(7-1)×10 =5+6×10 =65

which is the no of seats in 7th row.

8 0
3 years ago
Arborists use the diameter of a tree trunk to predict the age of a tree. The following computer output and residual plot
padilas [110]

Answer:

C. 210

Step-by-step explanation:

I just took it on edge

8 0
3 years ago
1/2 (x + 8) - 15 = - 3
seropon [69]

Answer:

4

Because I took the test and got it correct.

5 0
2 years ago
Read 2 more answers
Evaluate the function f(x) = x2 + 3x for both of the following:
marissa [1.9K]
F(x)=x²+3x

f(0)=0²+3*0=0+0=0

Answer: f(0)=0

f(4)=4²+3*4=16+12=28

Answer: f(4)=28
6 0
3 years ago
Find the value of x in the proportion 4/7 = x 56 pls help!!
serg [7]

Answer:

98

Step-by-step explanation:

4=x56×7

4=x392

392/4=X

98

6 0
3 years ago
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