Answer:
30
Step-by-step explanation:
A player answers x correct questions and y incorrect questions for a total of 40 questions.
x + y = 40
The score is obtained by subtracting y incorrect answers from two times the x of correct answers. The player's score is 50.
2x - y = 50
Use substitution to solve. Rearrange the first equation so that it is equal to y. Then, substitute the y-value into the second equation.
x + y = 40
y = 40 - x
2x - y = 50
2x - (40 - x) = 50
2x - 40 + x = 50
3x - 40 = 50
3x = 90
x = 30
Since x was made to represent correct answers, the player had 30 correct answers.
Answer:
The graph is shown in the picture attached.
Step-by-step explanation:
<u>Defining:</u>
- x represents the number of minutes
- y represents the number of points scored
<u>Matt scored:</u>
- 12 points (y) in 20 minutes (x) is shown in the graph as the point (20, 12)
- 16 points (y) in 28 minutes (x) is shown in the graph as the point (28, 16)
- 15 points (y) in 24 minutes (x) is shown in the graph as the point (24, 15)
- 18 points (y) in 25 minutes (x) is shown in the graph as the point (25, 18)
The base area of the prism is calculated as -
Area of prism = Length X Width
We are given that, length = 6 cm and width = 8 cm
<u>Thus, area of prism = 6 cm X 8 cm = 48 cm²</u>
Now, the volume of prism will be calculated as -
Volume of prism = Length X Width X Height
We are given height as = 7 cm
So, volume of prism will be = 6 cm X 8 cm X 7 cm
<u>Volume of prism will be = 336 cm³</u>
Determine which of the following terms is a function: a. (1,2) (2,4) (3,5) c. (1,2) (2,4) (2,6) b. (1,2) (2,3) (1,5) d. (1,2) (3
Komok [63]
In a function, X does not repeat.
Your answer is A.
<span>a (1,2) (2,4) (3,5)
</span>there are different x values for
each point, so this IS A FUNCTION.
<span>
b. (1,2) (2,3) (1,5)
</span>there are two values of x being 1,
so this is NOT A FUNCTION.
<span>c. (1,2) (2,4) (2,6)
</span>there are two values of x being 2
so this is NOT A FUNCTION.
<span>
d. (1,2) (3,5) (3,7)</span>there are two values of x being 3,
so this is NOT A FUNCTION.
hope this helps and have a great day!
Before going to the range, it's better to discuss first about the symbols used in inequality expressions. These equations contain <, >, ≤ and ≥ in their equations. That is why there are solid and hollow figure when they are graphed. If the line is solid, that means points along that line are part of the solution. If not, then they are not part of the solution. The same applies for solid points and hollow points.
Now, the domain and range of a given function is basically the coverage of their x and y values that are part of the solution. If the point is along the solid lines and points, the domain or range is expressed either in [ or ], depending where it starts and ends. If the point is along the hollow lines and points, the domain or range is expressed either in ( or ), depending where it starts and ends. The ∪ symbol is added to connect domains and ranges through discontinuities.
Looking at the leftmost line, it starts from the hollow point (-7,-4) and ends on the solid point (-3,3). The range for this part is expressed as (-4,3]. Looking the rightmost line, it starts from the hollow point (-1,-3) and ends at the solid point (2,-8). The range for this part is expressed as (3,8]. Connecting the two ranges, the answer would be <span>(-4,3)U(3,8].</span>
