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vampirchik [111]
3 years ago
6

Help please! which point on the number line below bests represents this?

Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

Point M

Step-by-step explanation:

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I am a multiple of 3 and 5. the sum of my digits is 9. what number am I?
iVinArrow [24]

Answer:

The answer is 45.

Step-by-step explanation:

This number is a multiple of 3 and 5, since it is divisible by both of these numbers.

4 + 5 equals 9, which is what it means by the sum of it's digits.

I hope this helps!

#teamtrees #WAP (Water And Plant)

3 0
3 years ago
PLEASE look at photo and help!
VMariaS [17]
It would be a a 6 by 5 inch rectangle, since the height is 6in and the width is 5in. Those are what would make up the cross section.
6 0
3 years ago
(b) For a giveaway, a local radio station is putting together goodie bags. The bags will include tickets and posters. Each bag w
jolli1 [7]
 6 goodie bags. 6 is the greatest common factor of 54 and 36.

<span>9 tickets and 6 posters in each bag.</span>
3 0
3 years ago
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
--2m + 4n2 for m = -6 and n=-5<br> Evaluate the expression
Tamiku [17]

Answer: 112

Step-by-step explanation:

Since we were given m and n, we plug them into the expression and solve.

-2(-6)+4(-5)²            [exponent]

-2(-6)+4(25)            [multiply]

12+100                     [add]

112

Now, we know that the value of the expression is 112.

7 0
3 years ago
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