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3 years ago

Given the following equation, explain which statement is correct

2 answers:

8 0

The answer is a.the equation is true because the sum of 67 and 33 is equivalent to the sum of 70 and 30. this is because when you add 67 and 33 together, you will get 100. And when you add 70 and 30, you will still get 100. This means that the sum is equivalent, making A the correct answer.

Vinvika [58]3 years ago

7 0

A. The equation is true.

67+33=100
70+30=100
100=100 so yes, the equation is equal.

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4xy-3x+8y2-6y 8y-6 please help someone thank you

avanturin [10]

Answer:

x=6, y=2.5

Step-by-step explanation:

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3 years ago

Write an expression to represent the phrase: The product of 8 and a number, n

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Answer: The product of 8 and n it is 8n

Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Several terms of a sequence {an}n=1 infinity are given. A. Find the next two terms of the sequence. B. Find a recurrence relatio

s344n2d4d5 [400]

Answer:

A) $\frac{1}{1024},\frac{1}{4096}$

B) $\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) $\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

Step-by-step explanation:

1) Incomplete question. So completing the several terms: $\left \{a_{n}\right \}_{n=1}^{\infty}=\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},... \right \}$

We can realize this a Geometric sequence, with the ratio equal to:

$q=\frac{1}{4}$

A) To find the next two terms of this sequence, simply follow multiplying the 5th term by the ratio (q):

$\frac{1}{256}*\mathbf{\frac{1}{4}}=\frac{1}{1024}\\\\\frac{1}{1024}*\mathbf{\frac{1}{4}}=\frac{1}{4096}\\\\\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},\mathbf{\frac{1}{1024},\frac{1}{4096}}\right \}$

B) To find a recurrence a relation, is to write it a function based on the last value. So that, the function relates to the last value.

$\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) The explicit formula, is one valid for any value since we have the first one to find any term of the Geometric Sequence, therefore:

$\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

6 0

3 years ago

Which of the following statements correctly uses the distributive property?

Anna007 [38]

Answer:

d) 9(-7+6) = 9(-7) + 9(6) is the correct use of Distributive Property.

Step-by-step explanation:

Distributive Property states that form any three expressions A, B and C

1. A( B -C) = AB - AC

2. A (B + C ) = AB + AC

Now, here

a) 0-3(12+5)= -3(12) - (-3)(5)

Solving Left side by distributive property, we get

0-3(12+5) = -3(12) + (-3)(5)

and -3(12) + (-3)(5) ≠ Right Side -3(12) - (-3)(5)

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

b) 7(19 - 8) = 7(19) - 8

Solving Left side by distributive property, we get

7(19 - 8) = 7(19) - 7(8)

and 7(19) - 7(8) ≠ Right Side 7(19) - 8

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

c) -2(15 - 3) = -2(15) + (-2)(3)

Solving Left side by distributive property, we get

-2(15 - 3) = -2(15) - (-2)(3)

and -2(15) - (-2)(3) ≠ Right Side -2(15) + (-2)(3)

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

d) 9(-7+6) = 9(-7) + 9(6)

Solving Left side by distributive property, we get

9(-7+6) = 9(-7) + 9(6)

and 9(-7) + 9(6) = Right Side 9(-7) + 9(6)

⇒ CORRECT USE OF DISTRIBUTIVE PROPERTY

3 0

3 years ago