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horrorfan [7]
3 years ago
13

Write an equation for a line that has slope of 4 and y- intercept of 7

Mathematics
1 answer:
grigory [225]3 years ago
6 0

Answer:

y = 4x + 7

Step-by-step explanation:

the equation for a line is y = mx+b

the y intercept is (0,7)

so in the equation x= 0 and y= 7 and the slope is m, thus m= 4

7= (4)(0)+b

now solve for b

7 = 0 +b

7= b

so the equation of the line would be without the x and y points

y = 4x + 7

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How long did it take a biker to travel 20 miles at 12mph
Anika [276]

Time = Distance / speed

Time = 20 miles / 12mph

Time = 1 and 2/3 hours ( 1 hour and 40 minutes)

5 0
2 years ago
72
Zigmanuir [339]

Answer:

Ai. Arithmetic sequence

Aii. Tn = 5 + 7n

Bi. Geometric

Bii. Tn = 8 × 2ⁿ¯¹

Step-by-step explanation:

To successfully answer the questions given above, note the following:

1. If the sequence is Arithmetic, then:

2nd – 1st = 3rd – 2nd = common difference (d)

2. If the sequence is geometric, then,

2nd / 1st = 3rd / 2nd = common ratio (r)

3. A sequence can not be arithmetic geometric at the same time.

4. The nth term of arithmetic sequence is:

Tn = a + (n – 1)d

5. The nth term of geometric sequence is:

Tn = arⁿ¯¹

A. Sequence => 12, 19, 26

i. Determination of the type of sequence.

We'll begin by calculating the common difference

1st term = 12

2nd term = 19

3rd term = 26

Common difference (d) = 2nd – 1st

d = 19 – 12 = 7

OR

d = 3rd – 2nd

d = 26 – 19 = 7

Since a common difference exist in the sequence, the sequence is arithmetic sequence.

ii. Determination of the nth term.

Common difference (d) = 7

1st term (a) = 12

nth term (Tn) =?

Tn = a + (n – 1)d

Tn = 12 + (n – 1)7

Tn = 12 + 7n – 7

Tn = 5 + 7n

B. Sequence => 8, 16, 32

Bi. Determination of the type of sequence.

Let us begin by calculating the common ratio.

1st term = 8

2nd term = 16

3rd term = 32

Common ratio (r) = 2nd / 1st

r = 16 / 8

r = 2

OR

r = 3rd / 2nd

r = 32 / 16

r = 2

Since a common ratio exist in the sequence, the sequence is geometric.

Bii. Determination of the nth term.

Common ratio(r) = 2

1st term (a) = 8

nth term =?

Tn = arⁿ¯¹

Tn = 8 × 2ⁿ¯¹

8 0
2 years ago
A man that is 6 feet tall weighs 165 pounds. Use this information to predict the weight of a man that is 5
Zarrin [17]

Answer:

151 pounds

Step-by-step explanation:

7 0
3 years ago
3(x + 4) = 3x + 12 solve for x
iris [78.8K]

Answer:

all real numbers.

Step-by-step explanation:

First, distribute 3 to all terms within the parenthesis:

3(x + 4) = 3(x) + 3(4) = 3x + 12

3x + 12 = 3x + 12

Because both sides are the same, your answer for x is "all real numbers".

~

8 0
3 years ago
Please help will give brainliest!
Elden [556K]

Answer:

Dont worry I got you

Step-by-step explanation:

The Answer is 30 or at least it was for my test, I got the same question lol

7 0
3 years ago
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