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Grace [21]
3 years ago
13

Solve the following system of equations graphically on the set of axes below.

Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

You need to plot each line and see where they intersect.

Line 1: y = x+2

Plot the y-intercept (0,2) because of the +2 in the equation.

From (0,2), count "up 1, right 1" to get a second point, because the slope is 1.

From that new point, repeat the "up 1, right 1" to plot a third point.

Connect the dots to make your line.

Line 2: y = -1/3 x - 2

Repeat the same process, using the the y-intercept and slope for this line.

Then identify where they intersect.

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Multiplying and Dividing Radical Expressions
Vladimir [108]

Answer:

The answer for the first equation is,

B. 11

The answer for the second equation is,

D.none of these.

7 0
3 years ago
Read 2 more answers
The table below shows the numbers of tickets sold at a movie theater on Friday.
prisoha [69]

Answer:

Number of Adult's tickets sold on Saturday = 3,356

Number of Children's tickets sold on Saturday = 2, 928

Total number of tickets sold over these two days is 8,938.

Step-by-step explanation:

Here, the number of tickets sold on FRIDAY:

Adult Ticket sold = 1,678

Children's Tickets sold = 976

So, the total number of tickets sold on Friday  

= Sum of ( Adult + Children's ) tickets  = 1,678  + 976 = 2,654 ....  (1)

The number of tickets sold on SATURDAY:

Adult Ticket sold =   2 times  the number of adult tickets sold on Friday  

                             =  1,678 x 2  = 3,356

Children's Tickets sold = 3 x the number of children's tickets sold on Friday.

                                        =  976  x 3 = 2, 928

So, the total number of tickets sold on Saturday  

= Sum of ( Adult + Children's ) tickets  = 3,356 + 2,928 = 6, 284 ....  (2)

Now, the total number of tickets booked in these two days :

Sum of tickets booked on (Friday + Saturday)

= 2,654 +  6, 284  =   8,938

Hence, total number of tickets sold over these two days is 8,938.

6 0
3 years ago
Geometry, multiple choice. Answer all if possible. Ty.
faltersainse [42]
12. The answer is B because the sum of any two sides of a triangle must be greater than the other side.
A. 4 → 4 + 4 is not GREATER than 8
B. 8 → 4 + 8 is greater than 8 and 8 + 8 is greater than 4
C. 12 → 4 + 8 is not GREATER than 12 
D. 16 → 4 + 8 is not GREATER than 16

13. The central angle containing the green beans is 360° - (195°+98°) = 67°.
If the diameter of the circle is 12 then the circumference = πd = 12π.
\frac{67}{360}× 12π≈7.013
So the correct answer is A
67/360 represents the portion of the circle which is green beans and you multiply it by the circumference to find the length of that arc.
3 0
3 years ago
Michael cycled 36km in 3 hours.<br>Work out his avarage speed.
san4es73 [151]
Hello mate,
____________
\\ speed =  \frac{distance}{time }  \\ average \: speed \:  =  \frac{36 \: km}{3 \: hr \: }  \\ speed \:  = 13 \frac{km}{hr}

average speed = 13 km/he
____________

I hope it helps :-)
8 0
3 years ago
Read 2 more answers
AP CALC HELP!!! Worth 38 points. AP Calc AB differental FRQ
sveta [45]

Answer:

5a.  approximately 6 grams remain after 2 seconds

5b.  The graph shown cannot be a solution. The solution has negative slope everywhere.

5c.  y = 50/(t+5)

5d.  The amount is changing at a decreasing rate. (As y gets smaller, so does the magnitude of dy/dt.)

Step-by-step explanation:

5a. The tangent line has the equation ...

  y = f'(0)t +f(0)

Here, that is

  y = -0.02·10²·t +10 = 10 -2t

Then at t=2, the value is ...

  y = 10 -2·2 = 6 . . . . grams remaining

__

5b. y² is always positive (or zero), so -0.02y² will be negative. This is dy/dt, the slope of the curve with respect to time, so any curve with positive slope somewhere cannot be a solution.

__

5c. The equation is separable so can be solved by integrating ...

  ∫y^-2·dy = -0.02∫dt

  -y^-1 = -0.02t +c . . . . for some arbitrary constant c

Multiplying by -50 gives ...

  50/y = t + c . . . . for some constant c

We can find the value of c by invoking the initial condition. At t=0, y=10, so we have ...

  50/10 = 0 +c = 5

Then, solving for y, we get ...

  y = 50/(t+5)

__

5d. As noted above (and as described by the differential equation), the magnitude of the rate of change is proportional to the square of y. As y decreases, its rate of change will also decrease (faster). You can see that the curve for y flattens out as t increases. The amount of the substance is changing at a decreasing rate.

5 0
3 years ago
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