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Levart [38]
3 years ago
14

Find g(x) if it is known that g(2t)=8t−1.

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0

Answer:

g(x) = 4x - 1

Step-by-step explanation:

Linear function in the format: g(x) = ax + b

g(2t) is a*(2t)+b

g(2t) = 8t - 1 means that:

when x = 2t, g = 8t - 1.

So

Equaling both sides

8t - 1 = a*2t + b

So

b = -1,

and

2a = 8, a = 8/2, a = 4

So

g(x) = 4x - 1

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professor190 [17]

Answer:

The slope is 3.75 OR 3 3/4.

Step-by-step explanation:

So the formula for slope I am using NOW, is based on the variables I named my dimensions. WARNING: NOT SLOPE FORMULA YOU MIGHT BE USING

y = 95 - 80

x = 10 - 6

Slope Formula: y/x

Substituted Slope Formula: (95 - 80)/(10 - 6)

Simplified Substituted Slope Formula: 15/4 OR 3.75

Hope this helps!!

7 0
3 years ago
Read 2 more answers
Explain why the square root of a number is defined to be equal to that number to the 1/2 power
Snezhnost [94]

9514 1404 393

Answer:

  (x^(1/2))(x^(1/2)) = x^(1/2 +1/2) = x^1 = x

Step-by-step explanation:

The rule of exponents is ...

  (x^a)(x^b) = x^(a+b)

From which ...

  (x^a)(x^a) = x^(a+a) = x^(2a)

So, if we want two identical factors that have a product of x = x^1, then the exponents of those factors will be such that ...

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The square root is defined as one of two identical factors that have a product equal to the specified value. That is ...

  (√x)(√x) = x

Above, we have shown that ...

  (x^(1/2))(x^(1/2)) = x

so, we can conclude ...

  √x = x^(1/2)

_____

<em>Additional comment</em>

In like fashion, we can show that the n-th root of a number is the same as that number to the 1/n power. It's really a matter of definition. Since the square of x^(1/2) is x, we call x^(1/2) the square root. It is used commonly enough that it has its own symbol: √x.

8 0
3 years ago
What does x equal? <br>-x/3 + 4 = 20
zavuch27 [327]
X is equal to 48

First subtract 4 from both the sides to get
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Then multiply both sides by 3 to get x alone
-x = 48
Now divide the both sides by -1, since we can't have x being negative to get
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Hope this helps:)
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4 years ago
Is 2 greater than or less than 7
Troyanec [42]
2 is less than 7 by 5
5 0
3 years ago
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The sales tax in your city is 8.8%, and an item costs $63 before tax.
Rudiy27

Answer:

5.50

Step-by-step explanation:

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