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2 years ago

7

A method used to rearrange a quadratic equation into a squared part and a number. this can allow you to find the vertex of a qua

dratic or solve a quadratic relatively easily.

2 answers:

bearhunter [10]2 years ago

7 0

Are you looking for the name of the method? If so, it's called completing the square.

pishuonlain [190]2 years ago

6 0

Answer with explanation:

Consider the Quadratic Polynomial

$ax^2+b x+c=a(x^2+\frac{bx}{a}+\frac{c}{a})\\\\=a[(x+\frac{b}{2a})^2+\frac{c}{a}-(\frac{b}{2a})^2]$

Squared Part is $a(x+\frac{b}{2a})^2$

Number is $a[\frac{c}{a}-(\frac{b}{2a})^2]$

This Method is called Completing the Square.

In this method we ,divide the term containing x by 2,and then reduce it in the form of either (a+b)² or (a-b)².

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How do I solve w(x)=4x 5; find w(-8)?

Andrei [34K]

Plug -8 in for x: 4(-8) + 5 solve: -32 + 5 -27

4 0

2 years ago

The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. S

lana [24]

Answer:

Part A) $h=V/(\pi r^{2})$

Part B) $h=4\ cm$

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

$V=\pi r^{2}h$

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

$V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})$

Simplify

$V/(\pi r^{2})=h$

Rewrite

$h=V/(\pi r^{2})$

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm

we have

$V=36\pi\ cm^3$

$r=3\ cm$

substitute in the formula and solve for h

$h=36\pi/(\pi 3^{2})$

$h=4\ cm$

8 0

2 years ago

A customer borrowed $2000 and then a further $1000 both repayable in 12 months. What should he have saved if he had taken out on

Neporo4naja [7]

Answer:

a. $60

Step-by-step explanation:

We will use simple interest formula to solve our given problem.

$A=P(1+rt)$ , where

A= Amount after t years.

P= Principal amount.

r= Interest rate in decimal form.

t= Time in years.

Let us find amount of loans repayable after 12 months for taking two amounts of $2000 and $1000.

As $2000 and $1000 are less than 2500, so the rate of loan will be 10%.

$10\%=\frac{10}{100}=0.10$

12 months = 1 year.

$A=2000(1+0.10\times 1)$

$A=2000(1+0.10)$

$A=2000(1.10)$

$A=2200$

Now let us find amount repayable after 12 months for borrowing $1000.

$A=1000(1+0.10\times 1)$

$A=1000(1+0.10)$

$A=1000(1.10)$

$A=1100$

Adding these amounts we will get total repayable amount after 12 months for borrowing $2000 and $1000 separately.

$\text{Amount repayable for borrowing two separate amounts}=2200+1100=3300$

Now let us find repayable amount after 12 months for taking 1 loan. As $3000 is between $2501 and $7500, so rate of loan will be 8%.

$8\%=\frac{8}{100}=0.08$

$A=3000(1+0.08\times 1)$

$A=3000(1+0.08)$

$A=3000(1.08)$

$A=3240$

Now let us find difference between both repayable loan amounts.

$\text{Difference between both repayable loan amounts}=3300-3240$

$\text{Difference between both repayable loan amounts}=60$

Therefore, the customer should have saved $60, if he had taken out one loan for $3000 and option a is the correct choice.

6 0

2 years ago

Read 2 more answers

Trevon made 24of the 40 free throws he attempted last season. What percent of his attempted free throws did Trevon make?

I am Lyosha [343]

Answer: 60%

Step-by-step explanation: 24/40 = .6 x 100 = 60

6 0

2 years ago

A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the

dedylja [7]

So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:

x + 2x = 66
3x = 66
x = 22

That is the length, of the smaller one (half the big one), so 2x = 44. Hence d) is your answer.

Hope I helped!

7 0

2 years ago

Read 2 more answers