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alex41 [277]
3 years ago
13

Images attached have the questions.

Mathematics
1 answer:
Otrada [13]3 years ago
8 0
1) is: (4,-1)

I: x>3
II: y<=2*x-5

a: (5,6):
I: 5>3 ?yes
II: 6<=2*5-5
6<=5 ?no
This is not a solution

b: (4,-1):
I: 4>3 ?yes
II: -1<=2*4-5
-1<=3 ?yes
This is a solution

c: (-3,-1):
I: -3>3 ?no
This is not a solution

d: (1,11):
I: 1>3 ?no
This is not a solution

2) is (8,-1):

I: x+y>=5
II: x-2*y>8

a: (6,1):
I: 6+1>=5
7>=5 ?yes
II: 6-2*1>8
4>8 ?no
This is not a solution

b: (8,-1):
I: 8+-1>=5
7>=5 ?yes
II: 8-2*-1>8
10>8 ?yes
This is a solution

c: (6,2):
I: 6+2>=5
8>=5 ?yes
II: 6-2*2>8
2>8 ?no
This is not a solution

d: (6,-2):
I: 6+-2>=5
4>=5 ?no
This is not a solution

3) is (6,2):

I: 2*x+4*y>0
II: -x+5*y>0

a: (0,0):
I: 2*0+4*0>0
0>0 ?no
This is not a solution

b: (-4,-2):
I: 2*-4+4*-2>0
-16>0 ?no
This is not a solution

c: (6,2):
I: 2*6+4*2>0
20>0 ?yes
II: -6+5*2>0
4>0 ?yes
This is a solution

d: (6,0):
I: 2*6+4*0>0
12>0 ?yes
II: -6+5*0>0
-6>0 ?no
This is not a solution
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What is the area of a parallelogram with a base of 38 meters and a height of 12 meters?
8090 [49]

For this case we have by definition that the area of a parallelogram is given by:

A = b * h

Where:

b: It's the base

h: It's the height

According to the data we have:

b = 38\ m\\h = 12 \ m

Substituting in the formula:

A = 38 * 12\\A = 456

The area of the parallelogram is A = 456 \ m ^ 2

Answer:

A = 456 \ m ^ 2

4 0
3 years ago
Read 2 more answers
In the triangles shown, ABC is dilated by a scale factor of to form XYZ. Given that mA = 45o and mB = 105o, what is mZ?
kompoz [17]

The value of angle Z is 30 degrees

<h3>How to determine the value of angle Z?</h3>

The given parameters are:

ABC is dilated to form XYZ

This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal

So, we have the following angle equations

A = X

B = Y

C = Z

Also, we have

A + B + C = 180

Substitute C = Z in A + B + C = 180

A + B + Z = 180

Substitute A = 45 and B = 105

So, we have:

45 + 105 + Z = 180

Evaluate the like terms

150 + Z = 180

Subtract 150 from both sides

Z = 30

Hence, the value of angle Z is 30 degrees

Read more about angles at:

brainly.com/question/25716982

#SPJ1

4 0
1 year ago
F(x) = x2 + 2x-5<br> g(x) = -3/2 - 4x + 1<br> What is f(x) – g(x)?
NeX [460]

Step-by-step explanation:

Start by finding (fog)(x)

To find this function, substitute x=

x−1

4

That is g(x) into f(x)

⇒(f∘g)(x)=(

x−1

4

)

2

−2(

x−1

4

)+5

=

(x−1)

2

16

−

x−1

8

+5

Now substitute x=3

⇒(f∘g)(3)=

(3−1)

2

16

−

3−1

8

+5

=

4

16

−

2

8

+5=4−4+5=5.

Hope it helps:)

6 0
3 years ago
In how many ways can a
Tomtit [17]

Answer:

The answer is 364. There are 364 ways of choosing a recorder, a facilitator and a questioner froma club containing 14 members.

This is a Combination problem.  

Combination is a branch of mathematics that deals with the problem relating to the number of iterations which allows one to select a sample of elements which we can term "<em>r</em>" from a collection or a group of distinct objects which we can name "<em>n</em>". The rules here are that replacements are not allowed and sample elements may be chosen in any order.

Step-by-step explanation:

Step I

The formula is given as

C (n,r) = \frac{n}{r} = \frac{n!}{(r!(n-r)!)}

n (objects) = 14

r (sample) = 3

Step 2 - Insert Figures

C (14, 3) = (\frac{14}{3}) = \frac{14!}{(3!(14-3)!)}

= \frac{87178291200}{(6 X 39916800)}

= \frac{87178291200}{239500800}

= 364

Step 3

The total number of ways a recorder, a facilitator and a questioner can be chosen in a club containing 14 members therefore is 364.

Cheers!

6 0
3 years ago
HELP DUE 8:30 will give brainliest
MariettaO [177]

The roots of the parabola is where the x-intercepts are so the answer is x=-1 and x= 5

5 0
3 years ago
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