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Levart [38]
2 years ago
15

Given f(x) = ex and g(x) = x -2, what is the range of (gºf)(x)? ​

Mathematics
2 answers:
lesya [120]2 years ago
7 0

Answer:

y>-2

Step-by-step explanation:

Answer on E2020

sineoko [7]2 years ago
7 0

Answer:

<em>The correct answer is D)  y>-2 </em>

Step-by-step explanation:

<em>Edge 2021.</em>

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Find the length of side x in the simplest radical form with a rational denominator.
krok68 [10]

Answer:

\sqrt{2}

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

tan(45)=\frac{x}{\sqrt{2}}

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by \sqrt{2}. \sqrt{2} multiplied by itself is simply 2. Try it! We also want to multiply the numerator by \sqrt{2}, but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

tan(45)=\frac{x\sqrt{2} }{2}

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

\frac{x\sqrt{2} }{2*2} =x\sqrt{2}

tan(45)*2=2

We can plug 2 in for the x in the numerator now:

\frac{2\sqrt{2} }{2}

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of x=\sqrt{2}

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

7 0
3 years ago
Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensive per pound? How muc
ozzi

Answer:

The apricots are less expensive per pound.

Step-by-step explanation:

Cost of 1 pound of almonds = 21.98/2

Cost of 2 pounds of almonds = $21.98

So then you have to do 21.98 - 21.98/2. Which equals $10.99

Cost of 1 pound of dried apricots = 26.25/3

Cost of 3 pounds of dried apricots = $26.25

So then you have to do $26.25 - 26.25/3 which = $17.5 then divide that by 2 which equals $8.75.

To find out how much less expensive you have to find the difference, so to do that you have to do $10.99 - $8.75 = $2.24 per pound less expensive.

4 0
3 years ago
Solve the following system of linear equations:<br> 4x - 2y = 3
Feliz [49]

Answer:

follow me for a follow back!

Step-by-step explanation:

7 0
3 years ago
1. The local furniture store pays $140 for a chair and sells it with a
zalisa [80]

Answer:

a. $56

b. $196

Step-by-step explanation:

a. Markup price

= 40% of 140

= 0.40*140

= $56

b. Selling Price

= $140 + $56

= $196

5 0
3 years ago
A restaurant bill is $59 and you pay $75. What percentage gratuity did you pay?
rewona [7]

Answer:22%

Step-by-step explanation:

3 0
2 years ago
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