All categories

3 years ago

Select the correct answer.

Mathematics

2 answers:

ElenaW [278]3 years ago

7 0

Answer:

the answer is set b

Set B – {89, 73, 84, 91, 87, 77, 94}

hodyreva [135]3 years ago

5 0

Answer: Set B
Step-by-step explanation:
The spread can be found by simply calculating the range of the the given data.
For set A, the range is given by: Highest value of the set- lowest value of the set
=94-74
=20
For set B, the value of the range is: 94-73= 21
For set C, the value of the range is: 91-73=18
For set D, the value of the range is: 99-82=17
Since, the maximum range is given by the set B that is 21, therefore set B has the greatest spread.

Read more on Brainly.com - brainly.com/question/2698770#readmore

You might be interested in

What's the volume of 1,000 kg of steel in cubic meters?

Blizzard [7]

I don't know for sure, but I think the answer is 200

3 0

2 years ago

Match the parabolas represented by the equations with their foci.

Elenna [48]

Function 1 $f(x)=- x^{2} +4x+8$

First step: Finding when $f(x)$ is minimum/maximum
The function has a negative value $x^{2}$ hence the $f(x)$ has a maximum value which happens when $x=- \frac{b}{2a}=- \frac{4}{(2)(1)}=2$ . The foci of this parabola lies on $x=2$ .

Second step: Find the value of y-coordinate by substituting $x=2$ into $f(x)$ which give $y=- (2)^{2} +4(2)+8=12$

Third step: Find the distance of the foci from the y-coordinate
$y=- x^{2} +4x+8$ - Multiply all term by -1 to get a positive $x^{2}$
$-y= x^{2} -4x-8$ - then manipulate the constant of y to get a multiply of 4
$4(- \frac{1}{4})y= x^{2} -4x-8$
So the distance of focus is 0.25 to the south of y-coordinates of the maximum, which is $12- \frac{1}{4}=11.75$

Hence the coordinate of the foci is (2, 11.75)

Function 2: $f(x)= 2x^{2}+16x+18$

The function has a positive $x^{2}$ so it has a minimum

First step - $x=- \frac{b}{2a}=- \frac{16}{(2)(2)}=-4$
Second step - $y=2(-4)^{2}+16(-4)+18=-14$
Third step - Manipulating $f(x)$ to leave $x^{2}$ with constant of 1
$y=2 x^{2} +16x+18$ - Divide all terms by 2
$\frac{1}{2}y= x^{2} +8x+9$ - Manipulate the constant of y to get a multiply of 4
$4( \frac{1}{8}y= x^{2} +8x+9$

So the distance of focus from y-coordinate is $\frac{1}{8}$ to the north of $y=-14$
Hence the coordinate of foci is (-4, -14+0.125) = (-4, -13.875)

Function 3: $f(x)=-2 x^{2} +5x+14$

First step: the function's maximum value happens when $x=- \frac{b}{2a}=- \frac{5}{(-2)(2)}= \frac{5}{4}=1.25$
Second step: $y=-2(1.25)^{2}+5(1.25)+14=17.125$
Third step: Manipulating $f(x)$
$y=-2 x^{2} +5x+14$ - Divide all terms by -2
$-2y= x^{2} -2.5x-7$ - Manipulate coefficient of y to get a multiply of 4
$4(- \frac{1}{8})y= x^{2} -2.5x-7$
So the distance of the foci from the y-coordinate is - $\frac{1}{8}$ south to y-coordinate

Hence the coordinate of foci is (1.25, 17)

Function 4: following the steps above, the maximum value is when $x=8.5$ and $y=79.25$ . The distance from y-coordinate is 0.25 to the south of y-coordinate, hence the coordinate of foci is (8.5, 79.25-0.25)=(8.5,79)

Function 5: the minimum value of the function is when $x=-2.75$ and $y=-10.125$ . Manipulating coefficient of y, the distance of foci from y-coordinate is $\frac{1}{8}$ to the north. Hence the coordinate of the foci is (-2.75, -10.125+0.125)=(-2.75, -10)

Function 6: The maximum value happens when $x=1.5$ and $y=9.5$ . The distance of the foci from the y-coordinate is $\frac{1}{8}$ to the south. Hence the coordinate of foci is (1.5, 9.5-0.125)=(1.5, 9.375)

8 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!

solniwko [45]

Answer:

the answer is c

Step-by-step explanation:

because it doesn't repeat the same number for example if it was two -1s it wouldn't be a function but positive and negative are different so yeah

6 0

3 years ago

10 squared divided by 2c -b + 3a<br><br> A = 1/3<br> B= 9<br> C = 5

Svet_ta [14]

Answer:

Step-by-step explanation:

Figure out all variables

100/(2x5= 10)-9+(3x.33=1)

100/10-9+1

100/2

8 0

3 years ago

The number 1/5 is which type of number?

Ksju [112]

the answer is

d. rational

3 0

3 years ago

Read 2 more answers