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Nutka1998 [239]
3 years ago
13

Select the points that are solutions to the system of inequalities. Select all that apply

Mathematics
2 answers:
Gala2k [10]3 years ago
6 0

Answer:

(2,4) and (10,-1) are the solutions but not the others.

Step-by-step explanation:

See the graph of the solution of two different inequalities that is attached to this question.

The blue shaded region gives the solution as points lie in this region.

Now, the point (0,-10) does not lie in the shaded region, hence, it is not a solution.

The point (-2,0) also does not lie in the shaded region, hence, it is not a solution.

The point (2,4) lies in the shaded region, hence, it is a solution, and the point (10,-1) lies in the shaded region, hence, it is a solution. (Answer)

nekit [7.7K]3 years ago
6 0

Answer:

<h2>Point C and point D are solutions of the system.</h2>

Step-by-step explanation:

To find the points that are solutions, we just have to look for those that are inside the shaded area.

Solution points refer to those values that satisfy the system of inequalities, which is a shaded area, because the solution is infinite in this case.

So, the points C (2,4), is inside the shaded are, that means, it's solution of the system. Similarly, point D (10,-1) is also inside the shaded are just below the x-axis.

Therefore the right answers are C and D.

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Calculate the mean and variance of the sample data set provided below. show and explain your steps. round to the nearest tenth.
eimsori [14]
Mean = (14 + 16 + 7 + 9 + 11 + 13 + 8 + 10) ÷ 8 = 11

Variance = 
[ (14-11)²+(16-11)²+(7-11)²+(9-11)²+(11-11)²+(13-11)²+(8-11)²+(10-11)² ]/7 = 9.71

Answer: 9.71
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If a quadratic equation with real coefficients has a discriminant of 3 then the two roots must be
lukranit [14]

In a quadratic equation

q(x) = ax^2 + bx + c 

The discriminant is = b^2 - 4ac

We have that discriminant = 3

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If b^2 - 4ac < 0 then the roots are imaginary

<span>In this problem b^2 - 4ac > 0   3 > 0 </span>

then the two roots must be real

6 0
3 years ago
Trigonometry and trigonometric functions
zaharov [31]

Answer:

The trigonometric functions include the following 6 functions: sine, cosine, tangent, cotangent, secant, and cosecant. For each of these functions, there is an inverse trigonometric function. The trigonometric functions can be defined using the unit circle.

Step-by-step explanation:

6 0
3 years ago
The radius of the cone is 1.75 inches, and its height is 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches, what
julia-pushkina [17]

Answer:

=11.155 in³

Step-by-step explanation:

Given data:

Radius= 1.75 inches

Height = 3.5 inches

Diameter= 0.5 inches

To find the volume of a cone we will apply the formula:

Volume of a cone = 1/3 πr²h

Substitute the values:

V= 1/3* 3.14 *(1.75)² * 3.5

V=1/3 *3.14*(3.0625)* 3.5

V= 33.66/3

V=11.22 in³

Now find the volume of the bubble gum:

Volume of bubble gum = 4/3 π*r³

Substitute the values:

V= 4/3*3.14*(0.5/2)³

V=4/3*3.14(0.25)³

V=4/3*3.14(0.015625)

V=0.19625/3

V=0.0654 in³

Now subtract the volume of bubble gum ball from the volume of a cone

=11.22 - 0.0654

=11.155 in³

Thus the closest approximation of the volume of the cone that can be filled with flavored ice is 11.155 in³....

6 0
3 years ago
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