MATHEMATICS HIGH SCHOOL

What is the simplest form of x^2+5x-6/x^2+9x+18?A: x+2/x+6
B: 1/3
C:x-1/x+3
D:-1/3

Answers

Answer 1
Answer:

Answer:

C: (x-1)/(x+3)

Step-by-step explanation:

The simplest form of the expression below, can be found through factorization process.

(x^(2)+5x-6)/(x^(2)+9x+18)

We have two quadratic expression. To find their factor, we only need to apply some steps:

Factorizing x^(2)+5x-6=(x+a)(x-b)

We have to find to numbers a and b that multiplied result in 6, but subtracted result in 5. We can see that a = 6 and b=1 are the right numbers, because 6 times 1 equals 6, and 6 minus 1 equals 5.

Therefore, x^(2)+5x-6=(x+6)(x-1)

On the other expression, we applied the same process:

x^(2)+9x+18=(x+6)(x+3); because, 6(3)=18 and 6+3=9

Then, we replace these factors for each expression:

(x^(2)+5x-6)/(x^(2)+9x+18)

((x+6)(x-1))/((x+6)(x+3))

Eliminating similar factors, we have:

((x-1))/((x+3))

Which is the simples form.
Answer 2
Answer: the correct answer is c

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Round each decimal to the nearest hundredth and to the nearest tenth 0.158

How do You find 20% of 40

Answers

Divide by 100% will cancel out the percent, then, multiply the value like so
(20)/(100) * 40=8

sandy has a total of 35 coins in her money jar is sandy's jar contains only nickels and dimes and the value of all the coins is $2.50, how many nickels does sandy have?

Answers

By solving a system of equations we will see that Sandy has 20 nickels and 15 dimes.

How to solve a system of equations?

We need to define the variables:

  • x = number of dimes
  • y = number of nickels.

We know that there are 35 coins so:

x + y = 35

And the total values if $2.50, then:

x*$0.10 + y*$0.05 = $2.50

Then our system is:

x + y = 35

x*$0.10 + y*$0.05 = $2.50

To solve this, we need to isolate one of the variables in one of the equations. I will isolate x on the first equation:

x = 35 - y

Now we replace this on the other equation:

(35 - y)*$0.10 + y*$0.05 = $2.50

$3.5 - y*$0.05 =  $2.50

$3.50 - $2.50 =  y*$0.05

$1.00/$0.05 = y = 20

So there are 20 nickels and the other 15 coins are dimes.

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904
0.05x + 0.10(35-x) = 2.50 Get rid of decimals by multiplying every term by 100: 5x + 10(35-x) = 250 5x + 350 - 10x = 250 -5x + 350 = 250 -5x = -100 x = 20 = the number of nickels. The number of dimes is 35-x or 35-20 or 15 dimes. Checking: 20 nickels is $1.00 and 15 dimes is $1.50 And indeed $1.00 + $1.50 = $2.50 Edwin

It is 7 km from Kerry's house to the mall. About what is that distance in miles?

Answers


1 km = 0.62137... mile (rounded)

7 km = 4.3296... miles (rounded)
4.3496 miles is the answer because if you Round up you it.

2(1/2q+1)=−3(2q−1)+8q+4 .

Answers

Answer:the answer is 7

Step-by-step explanation: 7d9wid9

Okay so I have multiple questions that I need help with so I will put them below and you will get more points! Once you know the answer put in the comments Answer one is so I no what it is answer two is etc.Question number one:
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

Question 2:
Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank)

Question 3:
Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?
A)3cm3
B)6cm3
C)9cm3
D)12cm3
If you can answer all of these you will be getting 20 points only one of these you get 5 and only two of these 15 points so answer all three to get more points.

Answers

Vcylinder=hpir^2
Vcone=(1/3)hpir^2

d/2=r

so



1.
d=8
r=8/2=4
h=3r
h=3(4)
h=12
V=12*3.14*4^2
V=602.88 in^2


2. cone that fits has same base area and therefor same radius
d=6
r=6/2=3
rcone=3
find height of can
V=hpir^2
21=h*3.14*3^2
21=h*3.14*9
0.7431=h
so
cone height=0.7431
radius=3
V=(1/3)(0.7431)(3.14)(3^2)
V=7 cubic units




3.
same base
find dimentions
s=s=s
V=s^3
27=s^2
3=s
Vsquarepyramid=(1/3)hs^2
s=legnth of base
h=height
h=side
V=(1/3)(3)(3^2)
V=9
C






1. 602.88 in^2
2.  7 cubic units
3. 9cm^3, C

Connor scored 14,370 points in a game amy scored 1,089 fewer points than conor . how many points did amy score

Answers

Answer: Amy scored 13,281 points

Step-by-step explanation:

Given : Connor scored 14,370 points in a game .

Amy scored 1,089 fewer (less than) points than Conor .

By using the SUBTRACTION OPERATION, the number of points scored by Amy will be :-

14370-1089=13281

⇒ The number of points scored by Amy = 13,281

Hence, Amy scored 13,281 points .
Amy scored 13,281 points. 
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