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Leya [2.2K]
3 years ago
7

Which is the correct way to show that (2, 3) is a solution to the following system of

Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer:

Option 1.

Step-by-step explanation:

Note: In second inequality "<x" is missing after 5.

Consider the given inequalities are

y-x>-4

2y-5

If (2,3) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (2,3).

Substitute x=2 and y=3 in the above inequalities and that should be true.

3-2>-4\Rightarrow 1>-4 True

2(3)-5 True

Therefore, the correct option is 1.

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PLEASE HELP EMERGENCY!!!!
pishuonlain [190]

Answer:

D

Step-by-step explanation:

Matrices are equal when they are of the same order and their corresponding entries are equal.

This is the case with the given matrix and matrix D

7 0
3 years ago
What scale factor was applied to the first rectangle to get the resulting image?
Valentin [98]

Answer:

Divided by 5.

Step-by-step explanation:

It is five times smaller than the original picture.

3 0
3 years ago
Miguel cut 1/4 from a round pie. Mariah cut a piece from the same pie an angle measure of 60 ° . who cut a larger piece
gogolik [260]
There are 360 degrees in a circle. 1/4 * 360 = 90 degrees

90 degrees > 60 degrees meaning Miguel cut the larger piece by 30 degrees
4 0
3 years ago
Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
Two straight edges of a pizza slice meet at an angle of 30°. If the pizza has a radius of 12
melisa1 [442]

Answer:

<h3>area of the slice:      A = 12π in² ≈ 37.7 in² </h3><h3>lenght of its crust:  L = 24π in ≈ 6.28 in</h3>

Step-by-step explanation:

R = 12 in

360°:30° = 12

so the area of the slice is ¹/₁₂ of whole pizza

A = ¹/₁₂•πR² = ¹/₁₂•π•12•12 = 12π in² ≈ 37.7 in²

Crust is the perimeter of pizza so crust of the slice is ¹/₁₂ of the perimeter:

L = ¹/₁₂•2πR = ¹/₁₂•2π•12 = 2π in ≈ 6.28 in

8 0
3 years ago
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