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3 years ago

Plz help me brainlest for the 1st answer

Mathematics

1 answer:

iren2701 [21]3 years ago

4 0

The answer is a medium Pizza of 12 inches radius.

The formula for finding the area of a square is pir^2(sorry but my phone won’t let me write pi in its symbol form). If we substitute 3 for pi, then that would the 3r^2. Then we would substitute the potential answer choices until we reach one that is closest to 400 in^2. For the small pizza, that would be 9*9*3, which is also 243 inches square. For the medium pizza, that would be 12*12*3, which is also 432 inches square. Finally, for the large pizza it is 15*15*3, which is 675. Therefore, the medium pizza has an area closest to inches square.

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I need help with pre calculus.

otez555 [7]

Question 1

<h3>Answer: Choice A) -7</h3>

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Explanation:

To compute f(g(2)), we'll first need to find g(2).

Locate 2 in the x row. Then read straight down until you get to the g(x) row. You should find that g(2) = 4

This means f(g(2)) becomes f(4). We then repeat the same process as before. Locate 4 in the x row, read straight down til you get to the f(x) row to find that f(4) = -9

Overall, we can say f(g(2)) = -9

We do the same set of steps to compute g(f(-1)). You should find that f(-1) = -1 and g(f(-1)) = g(-1) = -2

Lastly, we subtract the results we got:

f(g(2)) - g(f(-1)) = -9 - (-2) = -9+2 = -7

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Question 2

<h3>Answer: Choice B) 0</h3>

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Explanation:

If you were to graph each equation, you should get what you see below.

The red and blue curves do not intersect in any way. We need an intersection point to have a solution. Because there are no intersections, we don't have any solutions. The system is considered inconsistent.

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Question 3

<h3>Answer: Choice B</h3><h3> $-2x^2+250x-2000$ </h3>

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Explanation:

x = number of scooters made and sold

Each scooter costs $150 to make. If you made x of them, then it costs 150x dollars. Then tack on the fixed cost of $2000 to get the expression $150x+2000$

The cost function is $C(x) = 150x+2000$ . We'll subtract this from the revenue function R(x) to get the profit P(x)

$\text{Profit} = \text{Revenue} - \text{Cost}\\\\P(x) = R(x) - C(x)\\\\P(x) = (400x-2x^2) - (150x+2000)\\\\P(x) = 400x-2x^2-150x-2000\\\\P(x) = -2x^2+250x-2000\\\\$

==============================================

Question 4

<h3>Answer: Choice B</h3>

$\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}$

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Explanation:

$g(x) = \frac{1}{x+1}\\\\g(f(x)) = \frac{1}{f(x)+1}\\\\g(f(x)) = \frac{1}{x^2+x-3+1}\\\\g(f(x)) = \frac{1}{x^2+x-2}\\\\g(f(x)) = \frac{1}{(x+2)(x-1)}\\\\(g\circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\$

I started with the outer function g(x) and replaced each x with f(x) in the second step. Then I plugged in f(x) = x^2+x-3 and simplified. Factoring the denominator is helpful to determine where the denominator becomes zero. Specifically, it happens when x = -2 and x = 1. These x values must be kicked out of the domain to avoid a division by zero error.

So we start off with the real number line, and poke holes at x = -2 and x = 1.

The notation $x \in \mathbb{R}$ means x is a real number. Then we tack on $x \ne -2, x \ne 1$

Overall, the domain is $\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}$

Let's see what happens if we tried plugging x = -1 into this composite function:

$(g \circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\(g \circ f)(-1) = \frac{1}{(-1+2)(-1-1)}\\\\(g \circ f)(-1) = \frac{1}{(1)(-2)}\\\\(g \circ f)(-1) = \frac{1}{-2}\\\\(g \circ f)(-1) = -0.5\\\\$

We don't get a division by zero error, so x = -1 is allowed. The same can be said about any other x value as long as it's not -2 and not 1 either.

4 0

2 years ago

Lim x -4 sqrt x+20 - sqrt 12-x x^ 2 +3x-4 =

belka [17]

hey jay sorry for the phone number but i did not respond yet but i will text you back when you leave the office

8 0

3 years ago

Read 2 more answers

How did the League of Nations' failure to end the Abyssinian Crisis help lead to World War II? The failure showed that even a po

german

Answer:

C - The failure was a starting point for a buildup of aggression around the world.

Step-by-step explanation:

EDGE2021 :-)

Have a nice day! ;)

4 0

3 years ago

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42 points!!

konstantin123 [22]

In order for the Line m to be parallel with Line n :

Angle (3x + 5)° should be Equal to Angle 65°

Because they are Corresponding Angles and If two parallel lines are cut by a Transversal , The Corresponding angles should be Equal.

⇒ (3x + 5)° = 65°

⇒ 3x = 65 - 5°

⇒ 3x = 60°

⇒ x = 20°

7 0

4 years ago

Read 2 more answers

If there is an 80% chance of rain and a 30% chance of wind and rain, what is the probability that it is windy, given that it is

algol13

We suppose the total chance is 100%. So the chance of wind and rain accounts for 30%. Then it is given rainy. So the total chance will change to 80% and the chance of wind and rain remains constant. Then you can get the answer should be 30%/80%=37.5%≈38%.

4 0

4 years ago