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maxonik [38]
3 years ago
15

What is v? 7 ( 2 + 5v ) = 3v + 14

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

v = 0

Step-by-step explanation:

Solve for v:

7 (5 v + 2) = 3 v + 14

Expand out terms of the left hand side:

35 v + 14 = 3 v + 14

Subtract 3 v from both sides:

(35 v - 3 v) + 14 = (3 v - 3 v) + 14

35 v - 3 v = 32 v:

32 v + 14 = (3 v - 3 v) + 14

3 v - 3 v = 0:

32 v + 14 = 14

Subtract 14 from both sides:

32 v + (14 - 14) = 14 - 14

14 - 14 = 0:

32 v = 14 - 14

14 - 14 = 0:

32 v = 0

Divide both sides of 32 v = 0 by 32:

(32 v)/32 = 0/32

32/32 = 1:

v = 0/32

0/32 = 0:

Answer:  v = 0

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What is the nth term of quadratic sequence 4 7 12 19 28
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We find the first differences between terms:
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Since these are different, this is not linear.
We now find the second differences:
5-3=2; 7-5=2; 9-7=2. Then:

Since these are the same, this sequence is quadratic.
We use (1/2a)n², where a is the second difference:
(1/2*2)n²=1n².

We now use the term number of each term for n:
4 is the 1st term; 1*1²=1.
7 is the 2nd term; 1*2²=4.
12 is the 3rd term; 1*3²=9.
19 is the 4th term; 1*4²=16.
28 is the 5th term: 1*5²=25.

Now we find the difference between the actual terms of the sequence and the numbers we just found:

4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.

Since this is constant, the sequence is in the form (1/2a)n²+d;
in our case, 1n²+d, and since d=3, 1n²+3.
The correct answer is n²+3
7 0
3 years ago
Solve the equation 15x + 8 = y + 13 for x if y is 40. Make sure to first solve the equation for x in terms of y.
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Answer:

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4 0
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Consider the function represented by the equation 6c = 2p – 10. Write the equation in function notation, where c is the independ
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we have

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then

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Write the equation in function notation

f(c)=3c+5

therefore

the answer is

the equation in function notation is equal to f(c)=3c+5

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