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puteri [66]
3 years ago
14

Solve for y: 3x + y = 12

Mathematics
1 answer:
ch4aika [34]3 years ago
8 0

Answer:  Slope = -6.000/2.000 = -3.000

 x-intercept = 12/3 = 4

 y-intercept = 12/1 = 12.00000

Step-by-step explanation:

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What polynomial has a graph that passes through the given points?
Evgen [1.6K]
The answer is <span>B. y = x^3 + 4x^2 + 2x - 2 

A line that passes through all given point is the correct choice. Now, substitute x and y in all of the choices:

</span>B. y = x³ + 4x²<span> + 2x - 2 
Point 1: </span><span>(-2, 2) 
x = -2
y = 2
____
2 = (-2)</span>³ + 4 *(-2)² + 2 * (-2) - 2
2 = -8 + 4 * 4 + (-4) - 2
2 = -8 + 16 - 4 - 2
2 = 2
_____

Point 2: (-1, -1) 
x = -1
y = -1
____
-1 = (-1)³ + 4 *(-1)² + 2 * (-1) - 2
-1 = -1 + 4 * 1 + (-2) - 2
-1 = -1 + 4 - 2 - 2 
-1 = -1
____

Point 3: (1, 5) 
x = 1
y = 5
____
5 = (1)³ + 4 *(1)² + 2 * 1 - 2
5 = 1 + 4 * 1 + 2 - 2
5 = 1 + 4 + 2 - 2
5 = 5
____

Point 4: (3, 67) 
x = 3
y = 67
____
67 = (3)³ + 4 *(3)² + 2 * (3) - 2
67 = 27 + 4 * 9 + 6 - 2
67 = 27 + 36 + 6 - 2
67 = 67

So, line B passes through all choices.
3 0
3 years ago
Suatu jenis roti memerlukan 150 gram tepung dan 50 gram mentega. Roti jenis lain memerlukan 75 gram tepung dan 75 gram mentega,
Katena32 [7]
Let the one type of the bread be bread A
The second type of the bread be bread B

Let the flour be 'f' and the butter be 'b'

We need 150f + 50b for bread A and 75f + 75b for bread B

We can compare the amount of flour and bread needed for each bread and write them as ratio

FLOUR

Bread A : Bread B
150 : 75
2 : 1

We have a total of 2250gr of flour, and this amount is to be divided into the ratio of 2 parts : 1 part. There is a total of 3 parts. 

2250 ÷ 3 = 750 gr for one part then multiply back into the ratio to get

Bread A : Bread B = (2×750) : (1×750) = 1500 : 750


BUTTER

Bread A : Bread B = 50 : 75 = 2 : 3

The amount of butter available, 1250 gr is to be divided into 2 parts : 3 parts.
There are 5 parts in total

1250 ÷ 5 = 250 gr for one part, then multiply this back into the ratio 

Bread A: Bread B = (2×250) : (3×250) = 500 : 750

Hence, for bread A we need 1500 gr of flour and 500 gr of butter, and for bread B, we need 750 gr of flour and 750 gr of butter.


3 0
3 years ago
Read 2 more answers
The graph shows the data points in the table and the exponential regression model associated with the data ?
Orlov [11]

Answer:

Option: A is the correct answer.

         The number of weeds is decreasing by a multiplicative rate.

Step-by-step explanation:

Clear;y from the scatter plot we could observe that with the increasing value of one variable the other variable is decreasing.

Hence, The number of weeds is decreasing.

Also as we could see that the line of best fit is a curve and not a line Hence, the number of weeds are not decreasing by a additive rate  ( since the rate or a slope of a line is constant) it is decreasing by a multiplicative rate.

<em>Based on the graph of a regression model:</em>

<em>Option: A is correct.</em>

5 0
3 years ago
Read 2 more answers
Marcus needs to bike at least 80 mi this week for a training if he has already bike 25 mi this week then how many miles should h
Rashid [163]

Marcus needs to bike at least 11 miles each day.

Step-by-step explanation:

Given,

Distance to cover = 80 miles at least

Distance already biked = 25 miles

Number of days left = 5

Let,

x be the distance to cover in 5 days.

According to given statement;

Number of days left * Distance to cover + distance already bike ≥ Total distance to travel

5x+25\geq 80\\5x+25-25\geq 80-25\\5x\geq 55

Dividing both sides by 5

\frac{5x}{5}\geq \frac{55}{5}\\x\geq 11

Marcus needs to bike at least 11 miles each day.

Keywords: inequality, division

Learn more about division at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

7 0
3 years ago
Cole got $100 for his birthday. he can either save the money or buy a tennis racket with it what is the opportunity cost if he b
Andrew [12]

Answer:

A. winning games with his new racket

Step-by-step explanation: It's A because he's going to spend the money anyways every kid can't hope but, to spend their money $100 is a lot. He wouldn't be worried about losing out on savings because you get birthday money every year there is always a Opportunity for more cash.


If I'm wrong please let me know that means it was (B.) Spending the cash..


7 0
3 years ago
Read 2 more answers
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