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dimaraw [331]
3 years ago
14

Without solving, determine the number of solutions for this system. What does the graph of the system look like?

Mathematics
2 answers:
cupoosta [38]3 years ago
5 0

Rewriting each equation in slope-intercept form, you have

... y = (3/2)x -5/4

... y = (3/2)x - 5/6

These lines have the same slope, but different intercepts. The appropriate description is ...

... A) no solution; parallel lines

likoan [24]3 years ago
4 0

Answer:Correct

no solution; parallel lines

You can determine the number of solutions for the system without solving by rewriting the equations in standard form and simplifying.

Rewrite the equations in standard form:

6x - 4y = 5

9x - 6y = 5

Factor out the GCF for each equation:

2(3x - 2y) = 5

3(3x - 2y) = 5

Simplify:

3x - 2y =  

5

2

3x - 2y =  

5

3

3x -2y cannot equal both  

5

2

and  

5

3

. Therefore the system doesn't have any solutions.

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Select the recursive and explicit formula for the Arnold family 2 answers
MariettaO [177]

Answer: The first and last options are correct

Explanation:

The recursive formula is written in terms of the previous term of the sequence. From the information given,

the Arnold's are going to save a nickel on the first day of the month and double the amount each day of the month. Thus, the recursive formula would be

A(n)\text{ = a}_{n\text{ - 1}}\text{ }\times\text{ 2}

where

an - 1 defines a previous term

To write the explicit formula, we would apply the formula for finding the nth term of an arithmetic sequence which is expressed as

An = ar^(n - 1)

where

a is the first term of the sequence

n is the number of terms

r is the common ratio between consecutive terms

Thus,

r = 2 because the amount is doubling each day

n = number of days

a = value of 1 nickel = $0.05

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A(n) = 0.05(2)^n - 1

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Step-by-step explanation:

8 0
3 years ago
Question
meriva

Question:

In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?

Answer:

Probability that a bird will win the top prize is 0.167

Step-by-step explanation:

Given:

The number of  dogs  = 7

The number of  cats = 6

The number of  birds  = 3

The number of gerbils = 2

To Find:

Probability that a bird will win the top prize = ?

Solution:

Let us first find the total number of  pets .

The Total number of pets = 7 + 6 + 3  + 2 =  18

Now the probability of  a bird will win the top prize is

=> \frac{\text {Number of birds}}{\text{ Total number of pets}}

=>\frac{3}{18}

=> \frac{1}{6}

=>0.167

4 0
3 years ago
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