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2 years ago

Which of these statements is true for f(x) = (1/2)^x

Mathematics

2 answers:

Ann [662]2 years ago

6 0

<h3>Answer: D) The y intercept is (0,1)</h3>

This can be confirmed by plugging x = 0 into the function to find that...

y = (1/2)^x

y = (1/2)^0

y = 1

Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.

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Extra info (optional section):

We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.

Akimi4 [234]2 years ago

3 0

Answer:

D. The y-intercept is (0,1).

Step-by-step explanation:

Hope this helps

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If a rectangle has side lengths 5x-y and x+4y what would be the area and perimeter of the rectangle?

Dafna1 [17]

Answer:

Answer is given below with explanations. 

Step-by-step explanation:

$given \: \: l = 5x - y \: and \: \: b = x + 4y \\ area \: of \: rectangle \:= l \times b \: sq.units \\ = (5x - y)(x + 4y) \\ = 5 {x}^{2} + 20xy - xy - 4 {y}^{2} \\ = 5 {x}^{2} + 19xy - 4 {y}^{2} \\ perimeter \: of \: rectangle \\ = 2(l + b) \\ = 2(5x - y + x + 4y) \\ = 2(6x + 3y) \\ = 12x + 6y$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

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3 years ago

Find the surface area of the composite solid.

natulia [17]

Answer:

Step-by-step explanation:

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3 years ago

Please help ASAP

makkiz [27]

Answer:

Option A.

Step-by-step explanation:

According to this survey results :

Students : 80 like viking and 20 like patriot.

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In Option B it is given that patriot is more popular in students while viking is more popular in teachers which is not correct.

In option c patriot is equally popular in students and teachers, which is also not correct. because patriot is popular in 20% of students but 80% in teachers, which is not correct.

In option d there is no difference between students and teachers, this statement is also not correct because there is lots of differences in their choices.

In Option A it is said that viking is more popular in students but patriot is more popular in teachers. this is correct.

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3 years ago

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7 0

3 years ago

Help.... and thanks

Archy [21]

Answer:

Step-by-step explanation:

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3 years ago