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storchak [24]
3 years ago
15

Which co-ordinates do you plot to draw the graph of x + 2y = 3 ?

Mathematics
1 answer:
pychu [463]3 years ago
3 0
Just subisute values that will work
one easy way is to make one sides equal to only one of the placeholders, like y, and then lug in values in for x exg
x+2y=3
subtract x from both sides
2y=3-x
divideb bith sides by 2
y=-1/2x+3
subsitute valudes for x and get values for y
if x=2 then
y=-1/2(2)+3
y==-1+3
y=2
when x=2, y=2
when y=0 then y=3
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How much energy in joules can the solar panel produce each day if solar cells were 100% efficient and generate 1000 watts of pow
notsponge [240]

Answer:

The solar panel produce 6.48 × 10⁶ J of energy each day.

Step-by-step explanation:

If the solar cells were 100% efficient and generate 1000 watts of power per square meter

The power generated per square meter will be

\frac{100}{100} \times 1000 watts/m^{2}

= 1000 watts/m²

This is the power that would be generated per square meter if the solar cells were 100% efficient.

Now, for a 1 square meter panel of solar cells with an efficiency of 30%, the power generated will be

\frac{30}{100} \times 1000 watts/m^{2} \times 1m^{2}

= 300 watts

This is the power that would be generated by a 1 square meter panel of solar cells with an efficiency of 30%

Now, to determine the energy in joules (J) that the solar panel produce each day

We can determine the energy from the formula

Energy = Power × time

From the question, the solar cells receives the equivalent of 6 hours of direct sunlight per day, that is

Time = (6 × 60 × 60) secs = 21600 secs

Hence,

Energy = 300 watts × 21600 secs

Energy = 6480000 Joules

Energy = 6.48 × 10⁶ J

8 0
3 years ago
Read 2 more answers
Put this into Slope Intercept Form<br> x + 6y = –6
mel-nik [20]

Answer:

y=-\frac{x}{6} -1

Step-by-step explanation:

Hi there!

We are given the following equation:
x+6y=-6

And we want to convert it into slope-intercept form

Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept

The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients

Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side

So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y

Here is our equation again:

x+6y=-6

Start by subtracting x from both sides

x+6y=-6

-x       -x

_______________

6y=-x-6

Now divide both sides by 6

y=-\frac{x}{6} -\frac{6}{6}
We can simplify the fractions to become:

y=-\frac{x}{6} -1
Hope this helps!

See more on converting from standard to slope-intercept form here: brainly.com/question/26579052

6 0
2 years ago
A local kids play sold 8 adult tickets and 9 child tickets for a total of $205. On day two they sold only 4 adult tickets and 3
Naya [18.7K]

Answer:

The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13

Step-by-step explanation:

Let x be the cost of 1 adult ticket

Let y be the cost of 1 child ticket

Cost of 8 adult tickets = 8x

Cost of 9 child tickets = 9y

We are given that A local kids play sold 8 adult tickets and 9 child tickets for a total of $205

So, 8x+9y=205 ----- 1

Cost of 4 adult tickets = 4x

Cost of 3 child tickets = 3y

We are given that 4 adult tickets and 3 child tickets for a total of $83.

4x+3y=83 ----2

Plot 1 and 2 on graph

8x+9y=205  -- Red line

4x+3y=83  -- Blue line

Intersection point provides the solution

So, Intersection point =(11,13)

So, The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13

4 0
3 years ago
A certain number of tickets is sold at $10 per ticket, and the remaining tickets are sold at $8 per ticket. If 105 total tickets
Karo-lina-s [1.5K]

We can guess and check:

we know 105 tickets were sold for a total of 922 dollars

We know there were 10 dollar & 8 dollar tickets sold.

44(10)+64(8)

410+512

922 dollars

44 $10 tickets sold


8 0
2 years ago
The options are :<br> 80<br> 85<br> 90<br> 95
ella [17]

Check the picture below.

5 0
3 years ago
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