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4 years ago

What is the range of the graph (5,3) (2,5) A) 3 < y < 5 B) 3 ≤ y ≤ 5 C) 2 < x < 5 D) 2 ≤ x ≤ 5

Mathematics

1 answer:

Tresset [83]4 years ago

7 0

Answer:

Step-by-step explanation:

domain is the set of x-values

range is the set of y-values (corresponding to the x-values)

Now, since we want the range, we can immediately eliminate Choices C & D because they dealing with the DOMAIN ONLY (since x values).

Now, we have to choose from option A or option B.

The only difference is the greater than or less than sign with "equal to" signs as well. Whenever we are given 2 coordinate points, we can say that ALWAYS, we can graph a line segment using these 2 points. And line segments are all SOLID {meaning that the endpoints are INCLUDED).

What we mean by included is that the inequality sign should have "equal to" with it. Also, the two values of y-values are 3 and 5, thus range would be between 3 and 5 (inclusive). We can write:

Range = 3 ≤ y ≤ 5

Correct choice is B

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Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, co

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Answer:

Its quantitive cause its giving a number and quantity/quantitive is for numbers

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3 years ago

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What is the slope and y intercept of y=-x+3

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Y intercept when x =0

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y = -0 +3
y = 3

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3 years ago

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A rectangular prism has a length of 212 centimeters, a width of 212 centimeters, and a height of 5 centimeters. Justin has a sto

BlackZzzverrR [31]

Answer:

$3.75\ cm^{3}$ or $3\frac{3}{4}\ cm^{3}$

Step-by-step explanation:

step 1

Find the volume of the rectangular prism

we know that

The volume of a rectangular prism is

$V=LWH$

In this problem we have

$L=2\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm$

$W=2\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm$

$H=5\ cm$

substitute in the formula

$V=(\frac{5}{2})(\frac{5}{2})(5)=\frac{125}{4}=31.25\ cm^{3}$

step 2

Find the difference between the volume of the prism and the volume of the storage container

$35\ cm^{3}-31.25\ cm^{3}=3.75\ cm^{3}$

$3.75=3\frac{3}{4}\ cm^{3}$

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4 years ago

The ratio of forks to spoons in the cafeteria is 15:25. If the total

9966 [12]

Answer:

30 forks

Step-by-step explanation:

Let's start by simplifying the given ratio. Since both 15 and 25 are multiples of 5, we can divide the whole ratio by 5.

Forks: spoons

= 15: 25

= 3: 5

This means that forks take up 3 units of the total number of utensils, while the number of spoons is 5 units of the total number of utensils.

Number of forks= 3u

Number of spoons= 5u

Units shall be represented by the letter u from this point forth.

Now, we can form an equation using the total number of utensils in the cafeteria.

Assuming that the utensils in the cafeteria are only forks and spoons,

number of fork and spoons= 80

3u +5u= 80

8u= 80

Let's solve for u.

Divide by 8 on both sides:

1u= 80 ÷8

1u= 10

This means that 1 unit represents 10 utensils.

Substitute the value of u into the expression of the number of forks:

Number of forks

= 3u

= 3(10)

= 30

Thus, there are 30 forks in the cafeteria.

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3 years ago

A 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. How

Murrr4er [49]

Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.

Step-by-step explanation:

Let x represent the number of gallons of the 30% solution that should be mixed.

Let y represent the number of gallons of the 70% solution that should be mixed.

The total number of gallons of the mixture to be made is 40. This means that

x + y = 40

The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that

0.3x + 0.7y = 0.6 × 40

0.3x + 0.7y = 24- - - - - - - - - - - - - -1

Substituting x = 40 - y into equation 1, it becomes

0.3(40 - y) + 0.7y = 24

12 - 0.3y + 0.7y = 24

- 0.3y + 0.7y = 24 - 12

0.4y = 12

y = 12/0.4

y = 30

x = 40 - y = 40 - 30

x = 10

5 0

3 years ago