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2 years ago

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Which of the statements about the graph of the function y = 2x are true? Check all of the boxes that apply. The domain is all re

al numbers x because the exponent of 2 can be any real number When the x-values increases by 1 unit, the y-value multiplies by 2. The y-intercept is (0, 1). The graph never goes below the x-axis because powers of 2 are never negative. The range is all real numbers.

2 answers:

aev [14]2 years ago

8 0

Answer:

The correct options are 1, 2, 3 and 4.

Step-by-step explanation:

The given function is

$f(x)=2^x$

The above function is defined for all the values of x.

⇒ Therefore the domain is all real numbers x because the exponent of 2 can be any real number.

⇒ The x is exponent of 2, therefore the x-values increases by 1 unit, the y-value multiplies by 2.

Put x=0, to find the y-intercept.

$f(x)=2^=1$

⇒The y-intercept is (0, 1).

The value of f(x) is always greater than 0 because powers of 2 are never negative.

$f(x)>0$

⇒The graph never goes below the x-axis because powers of 2 are never negative.

⇒Therefore the range of the function is all positive real numbers.

Therefore the correct options are 1, 2, 3 and 4.

Hitman42 [59]2 years ago

6 0

Answer:

-The domain is all real numbers x because the exponent of 2 can be any real number

-When the x-values increases by 1 unit, the y-value multiplies by 2.

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

-The graph never goes below the x-axis because powers of 2 are never negative

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Lets x be the amount she earned from here job at college

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Amount earned at college + amount earned at store = 50450

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Subtract 1250 from both sides

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2 years ago

Norma Jean makes $25 per hour. She works 35 hours per week. She gets a commission of 15% on her total sales. How much should Nor

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Answer:

$24166.67

Step-by-step explanation:

$25 per hour and works 35 hours per week

Norma Jean makes 35 * 25 (<em>without sales) = </em>$875

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<em>let total number of sales by Norma be x</em>

15% is the same as 15/100

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2 years ago

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Answer: $m>8$

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Step-by-step explanation:

Given: Heloise has written 1/4 as many articles as Mustafa has. Gia has written 3/2 as many articles as Mustafa has.

Let m be the number of articles Mustafa writes.

Then articles written by Heloise= $\frac{1}{4}m$

And articles written by Gia= $\frac{3}{2}m$

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$\frac{11m}{4}>22\\\Rightarrow\ m>\frac{22\times4}{11}\\\Rightarrow\ m>8$

Hence, Mustafa could have written more than 8 articles for the newspaper.

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2 years ago

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LUCKY_DIMON [66]

NOTE THIS IS AN EXAMPLE:

Let t = time, s = ostrich, and g = giraffe.

Here's what we know:

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We have a value for s, so plug it into the first equation:

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gt = 6

Isolate g so that we can plug that variable value into the equation:

g = 6/t

so that gives us:

(6/t + 5)t = 7

Distribute:

6 + 5t = 7

Subtract 6:

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Divide by 5:

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Now that we have a value for time, we can plug them into our equations:

1/5 g = 6

multiply by 5:

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2 years ago

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Answer:

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b) As above, the ratios of corresponding sides are the same.

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