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3 years ago

Solve for x in the equation x squared + 10 x + 12 = 36.

Mathematics

1 answer:

Anna35 [415]3 years ago

6 0

It’s the first one

x = -12 or x=2

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Find a polynomial equation that has roots of -2 and double root 3

lbvjy [14]

Answer:

x³ + 2x² -3x +6

Step-by-step explanation:

We need to find the polynomial whose roots are ,

-2 , √3 and √3.

Say of we have zeroes as , α , β and γ , then the polynomial is ,

=> p(x) = k[ (x - α ) ( x - β) ( x - γ) ]

where k is constant. Substituting the respective values , we have ,

=> p(x) = k [ ( x - (-2)) ( x - √3) ( x -√3)]

=> p(x) = k[ (x+2)(x² - 3)]

=> p(x) = k[ x(x² - 3) + 2(x² - 3) ]

=> p(x) = k[ x³ - 3x + 2x² - 6 ]

=> p(x) = k[ x³ + 2x² - 3x - 6 ]

<h3>Hence the cubic polynomial is x³ + 2x² - 3x + 6 .</h3>

6 0

2 years ago

In a class 27 of students, 12 have a cat and 11 have a dog. There are 5 students who have a cat and a dog. What is the probabili

frosja888 [35]

Answer:

41.67% probability that a student has a dog given that they have a cat

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: having a cat.

Event B: having a dog.

12 of 27 students have a cat:

This means that $P(A) = \frac{12}{27}$

5 students who have a cat and a dog.

This means that $P(A \cap B) = \frac{5}{27}$

What is the probability that a student has a dog given that they have a cat?

$P(B|A) = \frac{\frac{5}{27}}{\frac{12}{27}} = \frac{5}{12} = 0.4167$

41.67% probability that a student has a dog given that they have a cat

6 0

3 years ago

Find the solution to the system by the substitution method. Check your answer.

polet [3.4K]

Answer:

#1 x=44+7y

$x =10 + \frac{y}{5}$

Step-by-step explanation:

used math.way hope this helps

6 0

2 years ago

No explanation required, just a quick answer please!

hram777 [196]

The answer to the question

4 0

3 years ago

Linda's container of cranberry juice holds 200 ml. Harries container holds 7/8 as much juice. How many milliliters of cranberry

Aleks04 [339]

200/1 times 7/8 = 1400/8 = 700/4 = 350/2 = 175

175 + 200 = 375ml

4 0

3 years ago