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grigory [225]
3 years ago
12

What is the function rule for (1,6) (2,24) and (3,54)?

Mathematics
1 answer:
NeX [460]3 years ago
7 0
First, find a pattern in the relationship between the two numbers in each set:

1*6 = 6, 1 + 5 = 6, 1^n*6 = 6

2*12 = 24, 2 + 22 = 24, 2^2*6, 2^3*3 = 24

3*18 = 54, 3 + 52 = 54, 3^2*6 = 54, 3^3*2 = 54

Sorting through the possible relationships reveals that in each case the first value in (x,y) relates to the second by the equation x^2*6 = y
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One meter of electrical cord costs 3 dollars. How much should one pay for 4 meters?? Please help me out here.
Snowcat [4.5K]

Answer:

$12

Step-by-step explanation:

The best way to do this is with a simple ratio. If you pay $3 for one meter, then for 4 meters, you’d pay $12. You BOUGHT 4 times more cord, which means you’d PAY 4 times more. Thus, 3 x 4 = 12!

Or with ratios:

1 meter : $3

multiplying both sides by 4

4 meters : $12

3 0
3 years ago
A Bill in the U.S House of Representatives passed because at least 2/3 of the members present voted in favor of it. If the bill
otez555 [7]

Answer:

Members of the House of Representatives present for the vote were atleast 426 .

Step-by-step explanation:

As given

A Bill in the U.S House of Representatives passed because at least \frac{2}{3} of the members present voted in favor of it.

If the bill received 284 votes .

Let us assume that the total members of the House of Representatives were present for the vote be x .

Than the equations becomes

\frac{2}{3}\times Total\ number\ of\ Representatives\ present\ for\ vote \geq 284

\frac{2}{3}\times x \geq 284

2x \geq 284\times 3

2x \geq 852

x\geq \frac{852}{2}

x\geq 426

Therefore members of the House of Representatives present for the vote were atleast 426 .

3 0
4 years ago
Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB,
KiRa [710]

Answer:

x =  \frac{2(A_T) }{(AB)  +  (AC) + (BC)}

6 0
3 years ago
What is 3 1/2 as a quotient of two integers?
allsm [11]

Answer:

7 divided by 2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 3, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find d
qwelly [4]

Answer:

Step-by-step explanation:

If y = 2x + 1, then dy/dt = 2(dx/dt).

If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x.  y = 81.

(a) if dx/dt = 3, find dy/dt when x = 4:

       Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.

(b) if dy/dt = 2, find dx/dt when x = 40:

        Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.

3 0
3 years ago
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