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aleksandrvk [35]
3 years ago
13

Please help ASAP thank you.

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
7 0

Answer:

Q10. (1,4)

Q11. No solution

Step-by-step explanation:

Q10. To solve equations by graphing, sketch the graphs of the 2 equations. The point(s) where the two lines intersect is the solution. To sketch straight line graph, find 2 coordinates then join them.

y= -2x +6

When x=0, y= 6

When y=0,

-2x+6=0

2x=6

x=6÷2

x=3

Thus, the 2 coordinates are (0,6) and (3,0).

After plotting these 2, draw a straight line that passes these 2 points. Instead of finding the x and y coordinates, you could also find other points such as when x=5 etc.

y=4x

when y=0,

4x=0

x=0

When x=1,

y=4(1)

y=4

The 2 coordinates are (0,0) and (1,4).

Plot this graph.(1st picture) You should be able to see the point if intersection, and that is the solution.

The solution should be (1,4).

Q11. Like question 10, plot the 2 graphs and see where they intersect.(2nd picture) In this case, you would notice that the two lines does not intersect. Hence, there is no solution.

Further explanation:

This is because the first equation is y= -2x+6 and the second is y= -2(x-6). If you expand the 2nd equation, the equation is y= -2x+12.

The gradient of the two lines are the same, which means that they are parallel and therefore they do not meet.

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I have 256 fence and the lengths are 3 times it's width. What are the lengths ?
larisa86 [58]
If this is a rectangle, then the answer is the length=96 units
I just formed two linear equations that follow the information. 

(1)...2l+2w=256



(2)...l=3w


Then, I solved for w by using substitution. W is 32. I then multiplied it by 3. I get the length as 96. 
8 0
3 years ago
A Family has five children . The probability of having a girl is 1/2. What is the probability of having 2 girls followed by 3 bo
NeTakaya
Probability of having a girl: 1/2
Probability of having another girl right after: 1/2
Probability of having a boy right after: 1/2
Then another boy: 1/2
And a third boy: 1/2

To find compound probabilities, just multiply them together.

\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2} = \frac{1}{2*2*2*2*2} =\frac{1}{32} = \boxed{0.031}\ in\ decimal\ form
4 0
3 years ago
Consider the sequence 6, 11, 16, 21 . . . . What is the 50th term in this sequence?
Damm [24]

Answer:

251

Step-by-step explanation:

Tn=5n+1

e.g.T1=5(1)+1

=6

e.g.T2=5(2)+1

=11

e.g.T3=5(3)+1

=16

e.g.T4=5(4)+1

=21

Answer:T50=5(50)+1

=251

5 0
3 years ago
Part 1: How's the weather? A. Investigate the weather forecast in your city. Record the high and low temperatures that are forec
victus00 [196]

Using the mean concept, it is found that:

1. The mean change in the forecasted high temperatures is of -0.33ºC.

2. The mean change in the forecasted low temperatures is of 0.5ºC.

-----------------------------

The mean of data-set is given by the <u>sum of all observations divided by the number of observations.</u>

Item 1:

The changes in the high temperature are: 2, 1, -1, -1, -1, -2

Thus:

M = \frac{2 + 1 - 1 - 1 - 1 - 2}{6} = -0.33

The mean change in the forecasted high temperatures is of -0.33ºC.

Item 2:

The changes in the low temperature are: 2, -2, 2, 1, 0, 0.

M = \frac{2 - 2 + 2 + 1 + 0 + 0}{6} = 0.5

The mean change in the forecasted low temperatures is of 0.5ºC.

A similar problem is given at brainly.com/question/24754716

3 0
2 years ago
Please help! 30 points! (it doesn't say 30 points. it gives it to you after a second person answers the question)
notsponge [240]

The answer is 1 and 28 over 99. If you need an explanation feel free to let me know. Have a nice day. : )

7 0
3 years ago
Read 2 more answers
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