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stiks02 [169]
2 years ago
11

WILL GIVE BRAINLIEST!

Mathematics
1 answer:
lesya [120]2 years ago
6 0

Answer:

425

Step-by-step explanation:

225/24 then multiply the answer by 40

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What is the greatest common factor of x^5, x^6, x^8?
lozanna [386]

Answer: I think the answer is x5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial
Mariulka [41]

Answer:

i) Since P(2), P(-1) and P(½) gives 0, then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

ii) - the sum of the zeros and the corresponding coefficients are the same

-the Sum of the products of roots where 2 are taken at the same time is same as the corresponding coefficient.

-the product of the zeros of the polynomial is same as the corresponding coefficient

Step-by-step explanation:

We are given the cubic polynomial;

p(x) = 2x³ - 3x² - 3x + 2

For us to verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial, we will plug them into the equation and they must give a value of zero.

Thus;

P(2) = 2(2)³ - 3(2)² - 3(2) + 2 = 16 - 12 - 6 + 2 = 0

P(-1) = 2(-1)³ - 3(-1)² - 3(-1) + 2 = -2 - 3 + 3 + 2 = 0

P(½) = 2(½)³ - 3(½)² - 3(½) + 2 = ¼ - ¾ - 3/2 + 2 = -½ + ½ = 0

Since, P(2), P(-1) and P(½) gives 0,then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

Now, let's verify the relationship between the zeros and the coefficients.

Let the zeros be as follows;

α = 2

β = -1

γ = ½

The coefficients are;

a = 2

b = -3

c = -3

d = 2

So, the relationships are;

α + β + γ = -b/a

αβ + βγ + γα = c/a

αβγ = -d/a

Thus,

First relationship α + β + γ = -b/a gives;

2 - 1 + ½ = -(-3/2)

1½ = 3/2

3/2 = 3/2

LHS = RHS; So, the sum of the zeros and the coefficients are the same

For the second relationship, αβ + βγ + γα = c/a it gives;

2(-1) + (-1)(½) + (½)(2) = -3/2

-2 - 1½ + 1 = -3/2

-1½ - 1½ = -3/2

-3/2 = - 3/2

LHS = RHS, so the Sum of the products of roots where 2 are taken at the same time is same as the coefficient

For the third relationship, αβγ = -d/a gives;

2 * -1 * ½ = -2/2

-1 = - 1

LHS = RHS, so the product of the zeros(roots) is same as the corresponding coefficient

7 0
3 years ago
Find the factors of each number in classify each number as a prime or composite<br> 18,37,48
zepelin [54]

18=1,2,3,9,18

37=1,37

48=1,2,3,16,24,12,4,6,8,48

Prime no. is a number that is divisible only by itself and 1

So, here 37 is a prime no.

18 and 48 are composite no.s

7 0
3 years ago
Determine whether the following is an example of a sampling error or a non-sampling error. 12% of all people are left handed. A
const2013 [10]

Answer:

Sampling Error

Step-by-step explanation:

When the researcher randomly selected 200 people, he is creating an sample or subset from the population, that would be all the people in the earth. The error obtained was product of the fact that the analysis he made was estimated from the sample and not the whole population. There is no other mentioned factor that could cause an error, so the answer would be a sampling Error.

7 0
3 years ago
Mary had 4 friends over to study for a test. Before her friende arrived, she baked 4 pies to share equally among her and her 4 f
ivolga24 [154]

Answer:

7/8

Step-by-step explanation:

3 1/2pies ÷ 4friends = ?

3 1/2 ÷ 4 = .875 (in decimal form)

.875 as a fraction = 7/8

each person will get 7/8 of a pie

5 0
3 years ago
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