All categories

3 years ago

Y=-3x^2-30x-27 find the zeroes of the function by rewriting the function in intercept form

1 answer:

3 0

y=-3x²-30x-27

Δ=b²-4ac=(-30)²-4.(-3).(-27)=900-324=576 ∴ √Δ=24

x'=(-b $+$ √Δ)/2a=(-(-30) $+$ 24)/2.(-3)=-54/6=-9

x''=(-b-√Δ)/2a=(-(-30)-24)/2.(-3)=-6/6=-1

Raízes são x''=-9 e x''=-1

You might be interested in

The number of typing errors made by a typist has a Poisson distribution with an average of two errors per page. If more than two

wlad13 [49]

Answer: 0.6767

Step-by-step explanation:

Given : Mean = $\lambda=2$ errors per page

Let X be the number of errors in a particular page.

The formula to calculate the Poisson distribution is given by :_

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

Now, the probability that a randomly selected page does not need to be retyped is given by :-

$P(X\leq2)=P(0)+P(1)+P(2)\\\\=(\dfrac{e^{-2}2^0}{0!}+\dfrac{e^{-2}2^1}{1!}+\dfrac{e^{-2}2^2}{2!})\\\\=0.135335283237+0.270670566473+0.270670566473\\\\=0.676676416183\approx0.6767$

Hence, the required probability :- 0.6767

6 0

3 years ago

If adult grey whales weigh an average of 50 - 55 tons, about how many pounds does an adult grey whale weigh? (A ton equals 2000

LUCKY_DIMON [66]

Answer:

100000

Step-by-step explanation:

First multiplt the given njmber with 2000 and subrat total number givem

7 0

2 years ago

Read 2 more answers

What is the base 5 representation of the number 465^8

andreev551 [17]

Answer

Option C : 2214(5)

Solution

The given number is 465 in base 8. To convert this number to base 5,we need to convert this number to base 10, then only we can compute the number in base 5

Step1 : Convert 465 to the base 8 to base 10

4 x 82=256

6 x 81=48

5 x 80=5

Adding 256 + 48+ 5 = 309(10)

Step2 : Convert 309(10) to base 5

5 | 309

5 | 61 |4

5 | 12 | 1

5 | 2 | 2

5 | 0 | 2

Therefore Answer = 2214(5 )

4 0

3 years ago

A blank CD can hold 70 minutes of music. So far you have burned 25 minutes of music onto the CD. You estimate that each song las

zaharov [31]

Answer:

The possible numbers of songs that you can burn onto the CD is 11.

Step-by-step explanation:

The total storage capacity of CD = 70 minutes

Storage already used = 25 minutes

Hence, The available storage = Total available storage - Used Storage

= 70 minutes - 25 minutes = 45 minutes

Hence, the CD has 45 minutes storage left.

Now, each song takes up 4 minutes of storage.

⇒ $\textrm{Total number of songs possible} = \frac{\textrm{Total storage left}}{\textrm{Time taken by each song}}$

= $\frac{45 minutes}{4minutes } = 11.25$

⇒The number of songs possible = 11.25 ≈ 11

Hence, the possible numbers of songs that you can burn onto the CD is 11.

4 0

3 years ago

Why do we use newton's

inessss [21]

depends. for example: we use his telescopes to see farther. we use his laws of motion to understand certain events that are mostly on said motion

3 0

2 years ago