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Over [174]
2 years ago
11

Which equation represents a proportional relationship between the x and y values a) y+4=3x b) y-3x=0 c) y+5x=6 d) y+1/4x=2

Mathematics
1 answer:
stich3 [128]2 years ago
5 0

Answer: B

Option is B) y-3x=0  represents a proportional relationship between the x and y values

Explanation:

Case 1 = y+4=3x

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 4 .

Case 2: y-3x=0

From the above equation we can see that if we change the value of x, the value of y changes by proportionality.

Hence the correct option is B.

Case 3 = y+5x=6

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 6.

Case 4 = y+1/4×x=2

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 2.

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N equals <em>416</em>

Hope this helps!

8 0
3 years ago
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Prove this trigonometric equation;<br><br> - tan^2x + sec^2x = 1,
alekssr [168]
Hey there :)

- tan²x + sec²x = 1    or    1 + tan²x = sec²x

sin²x + cos²x = 1 
Divide the whole by cos²x

\frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x}

\frac{sinx}{cosx} = tanx so \frac{sin^2x}{cos^2x} = tan^2x
and
\frac{1}{cosx} = secx so \frac{1}{cos^2x} = sec^2x

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

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3 0
2 years ago
Help need badly please
inna [77]

Answer:

6

Step-by-step explanation:

subtract 2 from2 equal zero

add 2and 4 together get six

zero divided by any non-zero number gives zero

multiply 3 times 4 gets 12

0+12/2

divide 12 by 2 equal six

0+6

zero 0 and 6 to get 6

6

7 0
3 years ago
If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)
Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: 1000 * 1.08^1 = \$1080

2nd year: 1000 * 1.08^2 = \$1166.4

3rd year: 1000 * 1.08^3 = \$1259.71

4th year: 1000 * 1.08^4 = \$1360.49

5th year: 1000 * 1.08^5 = \$1469.33

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

(1000*1.08^n)^{'} = 1000ln(n)*1.08^n

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

5 0
3 years ago
Find all 2-digit natural numbers that have exactly three factors.
natali 33 [55]

Answer:

25,49.

Step-by-step explanation:

8 0
2 years ago
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