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1 year ago

1. (08.01 MC) The graph shows two lines. A and B

Mathematics

1 answer:

Ivahew [28]1 year ago

6 0

Answer:

Part A:

A pair of linear equations can only have one solution or infinitely many solutions. In this case, there would only be one solution as they intersection at only one point.

Part B:

The solution would be (3, 4) because it is the point of intersection between the two linear lines.

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Let a represent the number of ounces of perfume A. Let b represent the number of ounces of perfume B. Perfume A costs $11 per ou

Julli [10]

Answer:

The system of equations in standard form is equal to

$11a+19b=71$

$a+b=5$

The number of ounces of perfume A is $3\ ounces$

The number of ounces of perfume B is $2\ ounces$

Step-by-step explanation:

Let

a-----> the number of ounces of perfume A

b----> the number of ounces of perfume B

we know that

$11a+19b=71$ -----> equation A

$a+b=5$

$a=5-b$ -----> equation B

substitute equation B in equation A and solve for b

$11(5-b)+19b=71$

$55-11b+19b=71$

$8b=71-55$

$8b=16$

$b=2\ ounces$

Find the value of a

$a=5-b$ -----> $a=5-2=3\ ounces$

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2 years ago

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Solve for y 5x + y = -10

EleoNora [17]

You would subtract 5x from y so y=5x-10

6 0

3 years ago

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What is the value of the function f left parenthesis x right parenthesis equals 20 x when x equals 0.25?

masya89 [10]

Answer:

Step-by-step explanation:

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3 years ago

I don’t know how to do this one.

serious [3.7K]

Answer:

(a) The unit circle is centered at (0,0) with a radius of 1.

(b) The equation of a circle of radius r, with a center located at (0,0):

x²+ y² = r².

(ii) P(0,1)

(iii) P(-1,0)

(iv) P(0,-1)

Step-by-step explanation:

5 0

3 years ago

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Question 2 of 5

AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is $f(n)=f(n-1)+d, f(1)=a,n\geq 2$ and the explicit formula is $f(n)=a+(n-1)d$ , where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is $f(n)=rf(n-1), f(1)=a,n\geq 2$ and the explicit formula is $f(n)=ar^{n-1}$ , where a is the first term and r is the common ratio.

The first recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+5$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(5)$

$f(n)=5+5(n-1)$

Therefore, the correct option is A, i.e., $f(n)=5+5(n-1)$ .

The second recursive formula is:

$f(1)=5$

$f(n)=3f(n-1)$ for $n\geq 2$ .

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

$f(n)=5(3)^{n-1}$

Therefore, the correct option is F, i.e., $f(n)=5(3)^{n-1}$ .

The third recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+3$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(3)$

$f(n)=5+3(n-1)$

Therefore, the correct option is D, i.e., $f(n)=5+3(n-1)$ .

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3 years ago

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