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3 years ago

Which polynomial identity will prove that 65 = 81 - 16

Mathematics

1 answer:

steposvetlana [31]3 years ago

8 0

9^2 - 4^2 = (9 + 4)(9 - 4)
So the polynomial identity used here is
$(x + y)(x - y) = {x}^{2} - {y}^{2}$

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Convert 22 2/5% into decimal

Vera_Pavlovna [14]

Answer:

0.224

Step-by-step explanation:

2/5% = 0.004

22% = 0.22

22% + 2/5% = 0.224

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3 years ago

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Multiply (2x + 8)^2.

pantera1 [17]

If the ^ is a divided sign then 5x if it’s a multiplication sign 20x! Don’t forget Order of operations.

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3 years ago

A manufacturer determines that the number of toys it can sell is given by the formula

otez555 [7]

Answer:

The price where the manufacture sells the maximum number of toys is $20

Step-by-step explanation:

The given equation for that represents the number of toys the manufacturer can sell is given as follows;

T = -4·p² + 160·p - 305

Where;

p = The price of the toys in dollars

At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0

Therefore, at the maximum point;

The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160

∴ -8·p + 160 = 0

160 = 8·p

8·p = 160

p = 160/8 = 20

The price where the manufacture sells the maximum number of toys is = p = 20 dollars

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3 years ago

Suppose p(a) = 0.40 and p(a 

sveticcg [70]

Between the probability of union and intersection, it's not clear what you're supposed to compute. (I would guess it's the probability of union.) But we do know that

$P(A\cup B)+P(A\cap B)=P(A)+P(B)$

For parts (a) and (b), you're given everything you need to determine $P(B)$ .

For part (c), if $A$ and $B$ are mutually exclusive, then $P(A\cap B)=0$ , so $P(A\cup B)=P(A)+P(B)$ . If the given probability is $P(A\cup B)=0.55$ , then you can find $P(B)=0.15$ . But if this given probability is for the intersection, finding $P(B)$ is impossible.

For part (d), if $A$ and $B$ are independent, then $P(A\cap B)=P(A)\cdot P(B)$ .

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3 years ago

Using long division, what are the first 4 digits in converting<br> 13/33<br> to decimal form?

Elena L [17]

Answer:

0.3939

Step-by-step explanation:

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