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iogann1982 [59]
3 years ago
5

Solution of the system of inequalities

Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0

Answer:

Step-by-step explanation:

(0,-1) is not part of the solution because:

It is not in the solution region and

the bottom line is not inclusive so it does not count.

Any points in the shaded region are solutions. Since (0,-1) is not in the shaded region it is not a solution.

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Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses to from which to choose. (a) Ini
prisoha [69]

Answer:

So the number of total combinations is 35.

Step-by-step explanation:

We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.  

Therefore, she have total 7 courses.  

So, we calculate the number of combinations to choose 4 out of 7  courses.

We get:

C_4^7=\frac{7!}{4!(7-4)!}=35\\

So the number of total combinations is 35.

7 0
3 years ago
PLEASE HELP ME <br>2x+45=90<br>​
arsen [322]

Answer:

x = 45/2 = 22.5 cm

Step-by-step explanation:

2x + 45 = 90

2x = 90- 45= 45

2x = 45

x = 45/2 = 22.5 cm

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8 0
3 years ago
Convert 0.4 J to kJ. <br> Please show working
dybincka [34]

Answer:

0.0004

Step-by-step explanation:

divide the energy value by 1000

0.4/1000

7 0
3 years ago
Read 2 more answers
On the plane curve defined by the parametric equations below, what point corresponds to t= -1
Anton [14]
The equation x=2t-1 represent the x-coordinate. To get the value of x, substitute t with -1.

That is:  x = 2(-1) - 1
                 = -2-1 
                = -3
Likewise, the equation y=t∧-3 represent the y-coordinate. Substituting t with -1,
 
  y = (-1)∧-3
    = -1

The point that correspond to t=-1 is (-3,-1).
6 0
3 years ago
Read 2 more answers
-4x + 7 = 2y - 3<br> y-intercept:<br><br> x intercept:
pantera1 [17]

Answer:

x-intercept: \bigg(\frac{5}{2}, \:0\bigg)

y-intercept: (0,\:5)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x.

-4x + 7 = 2y - 3

-4x+7=2\left(\bold{0}\right)-3

Simplify 2(0):                                          -4x+7=2\cdot \:0-3

Subtract 0 - 3 = -3:                         -4x+7=-3

Subtract 7 from both sides:          -4x+7-7=-3-7

Simplify:                                         -4x=-10

Divide both sides by -4                \frac{-4x}{-4}=\frac{-10}{-4}

\bold{x=\frac{5}{2}}

To find the y-intercept, substitute in 0 for x and solve for y.

-4x + 7 = 2y - 3

-4(\bold{0})+7=2y-3

Switch sides:                               y-3=-4\left(0\right)+7

Simplify -4(0):                              2y-3=-0+7

Add 3 to both sides:                  2y-3+3=7+3

Simplify:                                      2y=10

Divide both sides by 2:             \frac{2y}{2}=\frac{10}{2}

\bold{y=5}

3 0
2 years ago
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