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3 years ago

A.

Mathematics

1 answer:

Sholpan [36]3 years ago

6 0

Answer:

A. This is a function because every input maps to only one output.

D. Cubic Function

Step-by-step explanation:

For this mapping to be considered a function it must only have one y-value for each x value. This is the case, and this is what option A describes.

From its shape, we can see that D is a cubic function. Let's look at the shapes of each of the other functions just to be sure.

A. Linear Function

This graph would be a line.

B. Absolute Value Function

This graph would be in a "V" shape

C. Quadratic function

This graph would be in a "U". or parabolic shape

D. Cubic Function

This would have the same basic shape as the one in the graph.

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The mean score of 15 students was 82.0. (a) Another student joins, and the mean becomes 82.5. What is the new student's score? (

slega [8]

Answer:

a) The new student's score is 90.

b) Their scores are a pair of scores lower than 100 with a mean of 90.5.

Step-by-step explanation:

The mean is the sum of all scores divided by the number of students.

The mean score of 15 students was 82.0

This means that there are 15 students and the sum of the scores is 15*82 = 1230.

(a) Another student joins, and the mean becomes 82.5. What is the new student's score?

Now there are 16 students, the sum of the scores is 1230 + x and the mean is 82.5. So

$82.5 = \frac{1230 + x}{16}$

$1230 + x = 16*82.5$

$x = 1320 - 1230$

$x = 90$

The new student's score is 90.

(b) Suppose instead that two students join, taking the average from 82 to 83. What could their scores be, if they are restricted to be integer (i.e. whole) numbers?

Now there are 2 new students, so 17 in total. The mean score of the new students is 2x. The total score of the class is 1230 + 2x and the mean is 83. So

$83 = \frac{1230 + 2x}{17}$

$1230 + 2x = 1411$

$2x = 181$

$x = 90.5$

The mean of the two students scores is 90.5.

So their scores are a pair of scores lower than 100 with a mean of 90.5.

4 0

3 years ago

Find d arithmetic mean of _10 and _5

Inessa [10]

The mean is 7.5
It is the average of the two values.

4 0

3 years ago

Kat has 19 coins, all quarters and dimes, that are worth a total of $4. The system of equations that can be used to find the num

lorasvet [3.4K]

Since q+d=19, we can re-write this as d=19-q. Using the second equation 0.25q+0.1d=4 we can multiply both sides by 100. So we get 25q+10d=400. So now we can plug d=19-q into 25q+10d=400. So now we get, 25q+190-10q=400. Subtracting both sides by 190, we get 15q=210 and that q=14 plugging that in d=5

3 0

3 years ago

2x + y = 4<br> -4x – 2y = -8<br><br> Solve the system of equations

Ivenika [448]

Answer: y = 4 − 2 x

Step-by-step explanation: :)

6 0

3 years ago

Find the equation of the line through (-9,6) that is perpendicular to the line through (7,8),

Setler [38]

Step-by-step explanation:

I assume as "equation" we mean the slope-intercept form :

y = ax + b

"a" is the slope of the line (y coordinate change / x coordinate change when going from one point to another on the line). b is the y-intercept (the y value when x = 0).

we get the slope by finding the perpendicular slope of the first line.

the slope of the first line when going from (-3, -9) to (7, 8) :

x changes by + 10 (from -3 to +7).

y changes by + 17 (from -9 to +8).

so, that slope is 17/10.

the perpendicular slope is turning the original slope upside-down and flips the sign :

-10/17

so, a = -10/17

now, as we have only the slope and a point of the new line, we can use the point-slope form to stay and then transfer into the slope-intercept form.

y - y1 = a(x - x1)

where "a" is again the slope, and (x1, y1) is a point on the line

y - -6 = -10/17 × (x - -9)

y + 6 = -10/17 × (x + 9) = -10/17 × x - 90/17

y = -10/17 × x - 90/17 - 6 =

= -10/17 × x - 90/17 - 102/17 =

= -10/17 × x - 192/17

so, the equation is (in a maybe nicer way)

y = -1/17 × (10x + 192)

7 0

1 year ago