Factorise :x^2-4x-21+10y-y^2

Mathematics

1 answer:

Elenna [48]3 years ago

4 0

Answer:

This cannot factor

Step-by-step explanation:

This cannot factor because there is no number that can be factored out of all of the terms.

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9. Mr. Paul pays the parking bill before tax at a cost of $33.20. The parking tax rate is 2%. Mr. Paul decides to leave a 5% tip

ale4655 [162]

Answer:

first one should be $35.52

Second one $18.60

Step-by-step explanation:

3 0

3 years ago

Shaun has five coins in his pocket. If he empties the coins onto a table, what is the probability that all five coins will land

Anastasy [175]

Answer:

A. 1/32

Step-by-step explanation:

Ok, the probability for one of the coins to land on heads is 1/2 cause a coin have to sides and chance is 50% that it will land on either of its sides.

If you have 2 coins the probability will be 1/2 for the first coin to land on heads and 1/2 for the second one. The overall probability for 2 coins would be (1/2)*(1/2)=1/4. You could also see it is 1/4 because all of the possible combinations of 2 coins are 4 (HH, HT, TH, TT) and HH is one of four.

It's the same if you have 5 coins. The probability will be (1/2)*(1/2)*(1/2)*(1/2)*(1/2)=1/32 in other words HHHHH is one of 32 possible combinations of 5 coins.

5 0

3 years ago

Explain why the X coordinates of the points where the graphs of the equations y=2^-x and y=4^x+3 intersects

sveta [45]

Hello,

y=2^(-x)
y=2^(2x)+3

==>2^(2x)+3=1/2^x
==>2^(3x)+3*2^x-1=0 (1)
Let's assume u=2^x
(1)==>u^3+3*u-1=0

which as 3 roots
u=0.322185354626 or
u = -0.161092677313 + i1.754380959784 or
u = -0.161092677313 - i1.754380959784.

Let's take the real solution

0.322185354626=2^x
==>x=ln(0.322185354626) / ln(2)
x=-1,6340371790199...

an other way is
f(x)=2^(3x)+3*2^x-1
f(-2)=1/64+3/4-1=-15/64 <0
f(-1)=1/8+1-1=1/8>0
==> there is a solution betheen -2<x<-1