MATHEMATICS HIGH SCHOOL

Consider the following system of equations.y = 6x - 6

y - 6x = 5

What can you conclude about the system of equations?

Answers

Answer 1
Answer: y = 6x - 6  therefore   y - 6x = -6
y - 6x = 5 
so:
-6 ≠ 5
There is no solution to this system.
==========================
\left \{ {{y=6x-6} \atop {y-6x=5}} \right. \n \left \{ {{6x-y=6} \atop {-6x+y=5 }} \right. \n 0 \neq 11

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How do you solve the system by substitution 6x+2y=-26 x-6y=21

9/11 = ?/22 I'm stuck now

Answers

Okay so what it means is 9/11 is 22 is 2 times as much as 11 right? so then what is 9*2? then it'd be 18/22,
9/11 = 18/22
They are equivalent fractions
2 X (9/11) = (18/22)

Widget wonders produces widgets. they have found that the cost, c(x), of making x widgets is a quadratic function in terms of x.....the company also discovered that it costs $103. to produce 3 widgets, $163 to produce 7 widgets, and $328 to produce 12 find the total cost of producing 2 widgets

Answers

c(x)=ax^2+bx+c \n \nc(3)=103 \nc(7)=163 \n c(12)=328 \n \na * 3^2+b * 3 + c=103 \na * 7^2 + b * 7 + c= 163 \na * 12^2 + b * 12 + c =328 \n \n9a+3b+c=103 \n49a+7b+c=163 \n144a+12b+c=328

\hbox{the first two equations:} \n9a+3b+c=103 \ \ \ \ \ |* (-1) \n49a+7b+c=163 \n \n-9a-3b-c=-103 \n\underline{49a+7b+c=163 \ \ \ \ \ } \n40a+4b=60 \ \ \ \ \ \ \ \ \ \ \ |/ 4 \n10a+b=15

\hbox{the second and third equation:} \n49a+7b+c=163 \ \ \ \ \ \ \ |* (-1) \n 144a+12b+c=328 \n \n-49a-7b-c=-163 \n\underline{144a+12b+c=328 \ \ } \n95a+5b=165 \ \ \ \ \ \ \ \ \ \ \ \ |/ 5 \n19a+b=33

\hbox{set up a new system of equations:} \n10a+b=15 \ \ \ \ \ \ \ \ |* (-1) \n19a+b=33 \n \n-10a-b=-15 \n\underline{19a+b=33 \ \ \ \ \ \ } \n9a=18 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 9 \na=2 \n \n10a+b=15 \n10 * 2+b=15 \n20+b=15 \ \ \ \ \ \ \ \ \ \ |-20 \nb=-5

49a+7b+c=163 \n49 * 2+7 * (-5)+c=163 \n98-35+c=163 \n63+c=163 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |-63 \nc=100 \n \n\hbox{the equation for the cost of maxing x widgets:} \nc(x)=2x^2-5x+100 \n \nc(2)=2 * 2^2-5 * 2+100=8-10+100=98

The cost of producing 2 widgets is $98.

How can you check if drew the right graph 1. by looking at the slope
2. looking at the intercepts
3. by taking random points on your graph by using this equation 2x+6y=18

Answers

If [ 2x + 6y = 18 ] was the equation you were supposed to graph, then #3 is the way to go. If it was some other equation, then you would have to slog through BOTH #1 and #2 tobe sure.

A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from the basket at random.The exact probability that Taylor picks an egg from the basket is ?

Answers

Answer:

Exact Probability that Taylor picks an egg from basket is 0.725

Step-by-step explanation:

Number of white eggs in basket = 14

Number of brown eggs in basket = 15

Number of lemons in basket = 11

Total items in basket = 14 + 15 + 11 = 40

No of eggs in basket = 14 + 15 = 29

Probability=(Number\:of\:favorable\:outcome)/(Number\:of\:total\:outcome)=(29)/(40)=0.725

Therefore, Exact Probability that Taylor picks an egg from basket is 0.725
0.40 percent chance of picking up an egg

What is the average rate of change for (0,80) and (15,10)

Answers

Answer:

-14/3

Step-by-step explanation:

formula: (y₂ - y₁) / (x₂ - x₁)

(10 - 80) / (15 - 0)

(-70) / (15)

simplify

-14/3
Y/X
10-80/15-0
-70/15
=-14/3

If the nth term of a sequence is 7n-1 what is the 6th term?

Answers

To find the 6th term in the sequence whose nth term is represented by the formula 7n-1, substitute 6 in place of n into the formula. This gives 7*6 - 1, which equals 41.

The question is: If the nth term of a sequence is 7n-1, what is the 6th term?

In order to find this, we can substitute 6 into the formula for the nth term, in place of n.

Following the formula, we get 7n-1, replace n with 6, hence, the formula looks like 7*6 - 1.

Therefore, we get 42 - 1 = 41. Hence, the 6th term of the sequence is 41.

For more such questions on sequence, click on:

brainly.com/question/36944481

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The only thing you should do is to put 6 for n so you will have:
7(6) -1 = 42 - 1 = 41 :)))
I hope this is helpful
have a nice day
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