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-Dominant- [34]
3 years ago
7

Factor each polynomial using the difference of two squares patt

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

(x+3)(x-3)

Step-by-step explanation:

It is a difference of squares so it is sqrt of x^2 gives x and sqrt of 9 gives +3, -3.  So we get (x+3)(x-3).

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The intersection of events A = {apple pie, peach pie, pumpkin pie} and B = {cherry pie, blueberry pie, pumpkin pie} is _________
Ne4ueva [31]

The intersection of A and B is A\cap B=\{pumpkin pie\}

Explanation:

The event A is $A=\{\text { apple pie, peach pie, pumpkin pie }\}$

The event B is B=\{cherry pie, blueberry pie, pumpkin pie\}

Now, we shall find the intersection of the events A and B.

By definition, the intersection of the two events is the set which contains the elements that are found common in both the events.

Thus, from the definition, we need to determine the common elements that are found in both events.

Hence, from event A and B, the common elements that are found in both the events is Pumpkin pie.

Thus, the intersection of A and B is A\cap B=\{pumpkin pie\}

5 0
4 years ago
Read 2 more answers
A chocolate bar contains 50 calories and s of protein and makes a
Alla [95]

Answer:

He should serve 2 chocolate bars and 2 granola bars

Step-by-step explanation:

Let's define

x: amount of chocolate bar  

y: amount of granola bar

We are asked to solve the following optimization problem:

maximize 7*x + 2*y  

subject to

50*x + 25*y ≤ 150

5*x + 15*y ≥ 40

x ≥ 0

y ≥ 0

In the figure attached, the feasible region is shown. The solution is one of the vertex

vertex            objective function

(0, 2.667)       7*0 + 2*2.667 = 5.334

(2, 2)               7*2 + 2*2 = 18

(0, 6)               7*0 + 2*6  = 12

8 0
4 years ago
What is 2/6 using simplest form
scoray [572]
1/3

You’re able to divide both the numerator (2) and denominator (6) by 2
6 0
3 years ago
Read 2 more answers
Solve rw + 10m = x for r​
natita [175]

Answer:

r = (x - 10m)/w

Step-by-step explanation:

Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10m from both sides of the equation:

rw + 10m (-10m) = x (-10m)

rw = x - 10m

Next, divide w from both sides:

(rw)/w = (x - 10m)/w

r = (x - 10m)/w

r = (x - 10m)/w is your answer.

~

8 0
3 years ago
Read 2 more answers
A regular 13-gon is inscribed in a circle. Find the measure of each are intercepted by the sides of the polygon. Round your answ
noname [10]

Answer:

The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°

Step-by-step explanation:

The number of of equal sides in a regular 13-gon = 13 sides

The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;

θ = 360°/13 = 27\dfrac{9}{13} ^{\circ}  

By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = 27\dfrac{9}{13} ^{\circ} ≈ 27.69°

8 0
3 years ago
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