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REY [17]
1 year ago
15

Logan bought 35 balloons six-sevenths of the balloons are purple, how many of the balloons are purple?

Mathematics
1 answer:
Crank1 year ago
8 0

ANSWER

30\text{ balloons}

EXPLANATION

To find the number of balloons that are purple, we have to find six-sevenths of 35.

That is:

\begin{gathered} \frac{6}{7}*35 \\ 6*5 \\ 30\text{ balloons} \end{gathered}

That is the number of balloons that are purple.

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jok3333 [9.3K]
Step 2 is wrong and i don't know the other question
6 0
3 years ago
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What is the sign of the product (−4)(2)(−3)(6)?
solong [7]

Answer: negative ; -144 sowwy if im wrong

Step-by-step explanation:

-4, 2, -3 , 6

-4 times -3 = -12

6 times 2 = 12

-12 times 12 = -144

5 0
3 years ago
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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
Please help!
mr Goodwill [35]

Answer:

1. \sqrt{74} ft    2. 50\sqrt{2} yards     3. 5\sqrt{35} units.

Step-by-step explanation:

Pythagorean's Theorem a^2 + b^2 = c^2

A and b are both side lengths, c is the hypotenuse.

7^2 + 5^2 = 74

sqrt(74) is the answer for 1.

30^2 - 5^2 = 875

Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.

There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.

7 0
3 years ago
Skye says that x^3 – a^3 = (x – a)(x^2 + ax + a^2) is a polynomial identity because when she substitutes 2 in for x and 3 in for
Nady [450]

Answer:  x^3 - a^3 = (x - a) (x^2 + ax + a^2) is an identity

Step-by-step explanation:

Verify the identity using trig rules.

5 0
2 years ago
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