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ira [324]
3 years ago
10

40 POINTS AND BRAINLIEST!! I NEED THIS DONE ASAP

Mathematics
1 answer:
inna [77]3 years ago
8 0

(a) Answer: One solution.

Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."

(b)  Answer: Infinitely many solutions.

Explanation:

2x + 3y = 5.5

4x + 6y = 11   | divide by 2

-->

2x + 3y = 5.5

2x + 3y = 5.5

--> equations are identical.

2x + 3y = 2x + 3y

so any (x,y) will satisfy this equation. This means infinitely many solutions.

(c) Answer: One solution

Explanation:

Continuing the two lines it becomes obvious they will cross at one point (the solution)

(d) Answer: No solution

Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.


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4 years ago
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Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% mo
adell [148]

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

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\mathbf{Used = 70\% \times x}

Express percentage as decimal

\mathbf{Used = 0.7 \times x}

\mathbf{Used = 0.7x}

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

\mathbf{New= (1 + 15\%) \times x}

Express percentage as decimal

\mathbf{New= (1 + 0.15) \times x}

\mathbf{New= 1.15 \times x}

\mathbf{New= 1.15x}

The amount saved is the difference between the prices of the drones.

So, we have:

\mathbf{Saved =New - Old}

This gives

\mathbf{Saved =1.15x- 0.7x}

Subtract

\mathbf{Saved =0.45x}

Express as a function

\mathbf{f(x) = 0.45x}

Hence, the function for the amount saved is f(x) = 0.45x

Read more about proportions at:

brainly.com/question/13114933

7 0
2 years ago
What temperature is 10 degrees less than 4 degrees Celsius ?
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4 degrees C - 10 degrees C = negative 6 degrees C

5 0
3 years ago
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What is the value of the unknown number in the verbal description? 5 times the sum of 12 and a number is 80.
mixer [17]
"5 times a sum of 12 and a number is 80" translates to the next equasion:

5 x (12+a) = 80

Now we just have to solve it to find the value of a.
5 \times (12 + a) = 80 \\ 60 \times 5a = 80 \\ 5a = 80 - 60 \\ 5a = 20 \\ a = 20 \div 5 \\ a = 4
The unknown number is 4.
D is the right answer.
4 0
3 years ago
Read 2 more answers
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