MATHEMATICS HIGH SCHOOL

Is the following relation a function?x y
-1 -2
2 3
3 1
6 -2
Answer

No

Yes ...?

Answers

Answer 1
Answer: Yes, it is definitely a function. Although one might say that it is not a one to one or injective function because of the presence of (-1,-2) and (6,-2).. The correct option among the two options that are given in the question is the second option. I hope that this is the answer that has actually come to your desired help.

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Determine the inverse for the function f(x)= 4x+20

Answers

Answer:

6.40

Step-by-step explanation:

The points -5,2 and -5,8 lie on a circle with a radius of 3. Find the center of the circle.

Answers

The formula of a distance between two points:

d=√((x_2-x_1)^2+(y_2-y_1)^2)

We have two points A(-5, 2) and B(-5, 8). Substitute:

d=√((8-2)^2+(-5-(-5))^2)=√(6^2+0^2)=√(6^2)=6

d is a diameter of a circle because d = 2r = 2(3).

The center of a circle is in midpoint of AB.

The formula of a midpoint:

M\left((x_1+x_2)/(2),\ (y_1+y_2)/(2)\right)

Substitute:

(-5+(-5))/(2)=(-10)/(2)=-5\n\n(2+8)/(2)=(10)/(2)=5

Answer: (-5, 5).

If (x2 +3x +5)(x2 +3x - 5) = m2-n2, then find m ?

Answers

(x^2+3x+5)(x^2+3x-5)=m^2-n^2\n\n\ [(x^2+3x)+5][(x^2+3x)-5]=(m+n)(m-n)\n\nm=x^2+3x;\ n=5

8. Next, the $50, $25, and $10 gift cards aregiven to 3 of the remaining 6 volunteers. In
how many ways can these cards be given
away? Is this a combination or a
permutation? Explain.
Answer choices:
a. 120; combination because the order
does not matter
b. 20; combination because the order does
not matter
c. 120; permutation because the prizes are
different
d. 20; permutation because the prizes are
different

Answers

There are 20 ways to give away the gift cards. The correct answer is option B. 20; combination because the order does not matter.

How did we get the value?

To determine the number of ways the $50, $25, and $10 gift cards can be given away to 3 of the remaining 6 volunteers, we need to find the number of combinations.

A combination is used when the order of the items does not matter. In this case, the order in which the gift cards are given to the volunteers does not affect the outcome. For example, if Volunteer A gets the $50 card, Volunteer B gets the $25 card, and Volunteer C gets the $10 card, it is the same result as if Volunteer B gets the $50 card, Volunteer A gets the $25 card, and Volunteer C gets the $10 card.

The formula for calculating combinations is:

C(n, r) = n! / (r! × (n-r)!)

Where:

- n is the total number of items (6 volunteers in this case).

- r is the number of items to be chosen (3 gift cards in this case).

- n! represents the factorial of n, which is the product of all positive integers less than or equal to n.

Plugging the values into the formula, we get:

C(6, 3) = 6! / (3! × (6-3)!)

= 720 / (6 × 6)

= 720 / 36

= 20

So, there are 20 ways to give away the gift cards. The correct answer is (b) 20; combination because the order does not matter.

learn more about combination: brainly.com/question/4658834

#SPJ2

Answer:

c i think

Step-by-step explanation:

I'm giving 50 points and brainliest answer to whoever can answer this... Please show your work so I can try to understand it xD <3

Answers

Ok, to solve this first you have to set up your proportion:

9/150=x/230

/ is a fraction

x= the number of vials it will take to treat 230 patients

in order to solve this, you have to cross multiply:

9 x 230= 2070

150 · x= 150x

so you get 150x=2070

then divide 2070 by 150

2070/150= 13.8

so it would take 13.8 vials of medicine to treat 230 patients
Okay, firstly, you want to work out how many people will 1 vial of malaria treat. So, you do this: 

150 divided by 9= 16.6

That means for every 1 vial, 16.6 people are treated.

Since the question asks you to find out how many vials are needed if you're required to treat 230 people, you would do this:

230 divided by 16.6= 13.8

That means you need 13.8 vials to treat 230 people.

Can someone help me please which one is it ?
A
B
C
D

Answers

It mentions that angle 1 is congruent to angle 2. They have the same angle measure. This allows us to replace angle 1 with angle 2 (because they're effectively the same thing).

We can say
(angle 1) + (angle 3) = 90 
(angle 2) + (angle 3) = 90
notice the replacement in bold

The second equation is an algebraic way of saying "angle 2 and angle 3 are complementary"

Answer: Choice C
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