MATHEMATICS HIGH SCHOOL

Which equation represents the line that passes through the points (-3, 7) and (3, 3)?

Answers

Answer 1
Answer:

Answer: y = 2/3 (x + 3) +7

Step-by-step explanation:

1. Find the slope

Slope is found by the change in y over the change of x.

(7-3)/(3--3)

2. Evaluate

4/6

3. Simplify

2/3

4. Find a point to use in the equation, so you can write the equation in point, slope form. For this problem, I have chosen the provided point, (-3, 7)

Point slope form: y = m(x - x1) + y1

5. Plug the point into the equation

y = 2/3 (x + 3) +7

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How Do I Find The Domain & Range Of
y=2x-4 ?

Answers

Both the domain and range of the function is in range -

( - ∞ , + ∞ )

We have the following function -

y = f(x) = 2x - 4

We have to identify its Domain and Range.

What do you mean by domain and range of a function?

For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.

Consider the equation given -

y = 2x - 4

If we compare it with the general equation of line -

y = mx + c

We get -

m = 2 and c = - 4

Now this graph of the equation y = mx + c represents a straight line.

Hence, both the domain and range of the function are-

( - ∞ , + ∞ )

To solve more questions on Domain and Range, visit the link below -

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The domain is how far left and right it goes on a graph, and the range is how far up and down it goes on a graph. Because this equation is linear (if you graphed it, it would be in a straight line), both the domain and range are infinity, because it keeps going up and to the right, the larger X gets, and smaller and to the left, the more negative X gets.

In a group of 55 people, 33 are coffee drinkers and 12 are tea drinkers. Assuming that no one in this group drinks both tea and coffee, what is the probability that a person picked at random from the group does not drink tea or coffee?

Answers

12+33=45. 45/55 people drink tea or coffee. This means if you picked someone randomly there would be a 45/55 chance that they drink tea or coffee. This means there is a 10/55 chance of someone who drinks neither. We can simplify this to 2/11.

Answer:

D. 2/11

Step-by-step explanation:

For all Plato users.

Please hurry Suppose Ms. Kraus is 1.75 m tall. When her shadow is is 1 m, how long would the shadow be of a 265 m tall building? (Make a sketch to help solve the problem) a. 175 m c. 265 m b. 151 m d. 100 m

Answers

The shadow of a 265m long building would be b. 151 m

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given,  Ms. Kraus is 1.75 m tall. When her shadow is 1 m.

Let the shadow of a 265 m tall building be 'x' m.

Therefore by the ratio proportion method.

1.75 : 1 : : 265 : x.

1.75/1 = 265/x.

1.75x = 265.

x = 265/1.75.

x = 151.42 Or 151 m.

learn more about proportion here :

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Answer:

b. 151m

Step-by-step explanation:

Step-by-step explanation:

That's the right answer on edge

Which one is the correct one

Answers

(Im doing Apex right now too! Im on the final for geometry and its terrible.)

Alright back to the answer

A wouldn't be it because many equations that have variables on both sides have solutions

B wouldnt be it because not having a solution means the equation does not have any value of X

So c is the answer. The equation can not be true for any variables for X because it does not have any solutions

Hope i could help!

13. A factory produces 500,000 nails per day. The manager of the factory estimates that there are less than 1,500 misshapen nails made per day. A random survey of 500 nails finds 4 misshapen ones. Is the manager correct in his estimate? Explain.​

Answers

Answer: The manager is incorrect.

Step-by-step explanation: 500,000 nails/500 nails = 1,000 nails. If a survery of 500 nails finds 4 misshapen ones, we must multiply 4 by 1,000 because multiplying 500 by 1,000 gives us 500,000. 4x1,000+4,000. 4,000 does not equal 1,500, so the manager is incorrect.

What is the missing dimension of a parallelogram if h=5 1/4feet and A=12feet

Answers

The missing is the base 
A=bh
12= 5.25b
Divide both sides by 5.25
b=2.29 ft
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