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2 years ago

10

What is the range of the function y = e Superscript 4 x

2 answers:

grin007 [14]2 years ago

8 0

Answer:

Second option: $y>0$

Step-by-step explanation:

The given function is

$y=e^{4x}$

Remember that the range is the set formed by y-values, that is, the dependent variable elements.

If you think this through, you would deduct that a power cannot be equal to zero or a negative number. All powers are always positive and greater than zero, because the least power that can exist is equal to one, which is $x^{0}=1$ .

Therefore, the right answer is $y>0$ , because that's the restriction of exponential expression by definition.

Alborosie2 years ago

3 0

Answer:

A. Less than zero

Step-by-step explanation:

So If you graph the function, you'll see that it never actually crosses the y axis into the third or fourth quadrant, the quadrants where all y values become negative.

The answer A is also correct on Edge

Have a great day dude

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Match each graph with the correct slope of the line. drag and drop the answer

OLEGan [10]

Answer/Step-by-step explanation:

✔️Slope of the first graph:

Using two points on the line, (0, 1) and (3, 2),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 1}{3 - 0} = \frac{1}{3}$

Slope = ⅓

✔️Slope of the second graph:

Using two points on the line, (0, 0) and (1, 1),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 0}{1 - 0} = \frac{1}{1} = 1$

Slope = 1

✔️Slope of the third graph:

Using two points on the line, (0, 1) and (2, 2),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 1}{2 - 0} = \frac{1}{2}$

Slope = ½

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2 years ago

A box of 8 snack bars costs $24.72. A single snack bar costs $3.47. What is the savings on each snack bar if you buy a box of 8

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ki77a [65]

Answer: y= -2x - 500

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts. This means that the line parallel to y=-2x + 3 will have the same slope which is -2.

We will input the x and y coordinates for the given point into the formula and solve for the y-intercept to write the equation.

-100 = -2(-100) + b where b is the y-intercept

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-400 -400

b = -500

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3 years ago

(-2,4) (8,10) slope intercept form

kherson [118]

Answer:

Step-by-step explanation:

1) Use the given coordinate points to find the slope

m= $\frac{10-4}{8-(-2)}$ m= $\frac{3}{5}$

2) plug the slope into slope-intercept form

y= $\frac{3}{5}$ x+b

3) choose one point to use to plug into the equation to solve for b

4= $\frac{3}{5}$ (-2)+b

4) solve for b.

b= $\frac{26}{3}$

5) substitute the value for b into equation from step 2

y= $\frac{3}{5}$ x+ $\frac{26}{3}$

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2 years ago