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trapecia [35]
2 years ago
14

Solve each equation. Check your solution. 4t - 2 = 14

Mathematics
2 answers:
anyanavicka [17]2 years ago
3 0
T = 4. first, you can add 2 to both sides of the equation. you get 4t = 16. then, you can divide both sides by 4 to isolate t.
aksik [14]2 years ago
3 0

Answer:

t=4

Step-by-step explanation:

4t-2=14

You then add 2 to both sides and get

4t=16

Then you must divide 16 by 4 and get

t=4

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Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (6, 1280)(6,1280).
Phoenix [80]

Answer:

y=20(2)^x

Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

y=ab^x

The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:

20=a(b)^0

Simplify:

20=a(1)\Rightarrow a=20

So, our exponential function is now:

y=20(b)^x

Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:

1280=20(b)^6

Solve for <em>b</em>. Divide both sides by 20:

64=b^6

Therefore:

b=\sqrt[6]{64}=2

Hence, our function is:

y=20(2)^x

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