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2 years ago

Find the zeros of the function f(x)=3x^2-27

Mathematics

1 answer:

Inessa05 [86]2 years ago

4 0

$3x^2-27=0\\3x^2=27\\x^2=9\\x=-3 \vee x=3$

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Solve the following simultaneous equations : with the help of steps 1. x + 2y = 1, 3x - y = 17

IRISSAK [1]

Answer:

x = 5, y = -2

Step-by-step explanation:

Given equations:

x + 2y = 1
3x - y = 17

From the first equation we get:

x = 1 -2y

Substitute x in the second equation, find y:

3x - y = 17
3*(1-2y) - y = 17
3 - 6y - y = 17
-7y = 17 - 3
-7y = 14
y = -14/7
y = -2

Find x:

x = 1 - 2y
x = 1 - 2*(-2)
x = 1 + 4
x = 5

6 0

3 years ago

You buy a package of 12 pencils for $2.64 write this rate as a unit rate?

iogann1982 [59]

Unit rate means how much does it cost for 1 unit

2.64 for 12 pencils
find 1 pencil
divide both sides by 12
0.22 for 1 pencil

0.22 per pencil

3 0

3 years ago

the sides of a square each have a length of 11x inches write an expression for the perimeter of the square in inches

notsponge [240]

Answer:

P = 44x

Step-by-step explanation:

Given

a = 11x

Perimeter of a square is:

P = 4a

Substitute the value:

P = 4(11x) = 44x

4 0

3 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

aev [14]

Answer:

P(X < 3) = 0.7443

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 6

r = number of success = less than 3

p = probability of success which in our question is 0.3.

LET X = a random variable

So, it means X ~ $Binom(n=6, p=0.3)$

Now, Probability that X is less than 3 = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\binom{6}{0}0.3^{0} (1-0.3)^{6-0}+ \binom{6}{1}0.3^{1} (1-0.3)^{6-1}+ \binom{6}{2}0.3^{2} (1-0.3)^{6-2}$

= $1 \times 1 \times 0.7^{6} +6 \times 0.3^{1} \times 0.7^{5} +15 \times 0.3^{2} \times 0.7^{4}$

= 0.11765 + 0.30253 + 0.32414 = 0.7443

Therefore, P(X < 3) = 0.7443.

5 0

3 years ago

What the valie of 8+(27÷9)2?

kirill115 [55]

Answer:

Explanation:

Parenthesis, Exponents, Multiply, Divide, Add, Subtract

27 ÷ 9 = 3

3 · 2 = 6

8 + 6 = 14

6 0

3 years ago

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