Mr. Johnson listed each class’s average on a quiz in fraction form. Based on the chart, Which shows the classes ordered from the highest average to the lowest average?

A. C,D,A,B
B. C,A,D,B
C. B,D,A,C
D. B.A,D,C

Two numbers whose sum is 10 is required.

The answer is

Minimum: 5, 5

Maximum: 9, 1

Let [tex]x[/tex] and [tex]y[/tex] be two numbers

[tex]x+y=10\\\Rightarrow y=10-x[/tex]

The sum of the squares would be

[tex]x^2+y^2=x^2+(10-x)^2\\ =2x^2-20x+100[/tex]

[tex]f(x)=2x^2-20x+100[/tex]

Differentiating with respect with x

[tex]f'(x)=4x-20[/tex]

Equating with zero

[tex]4x-20=0\\\Rightarrow x=\dfrac{20}{4}\\\Rightarrow x=5[/tex]

Double derivative of f(x)

[tex]f''(x)=4[/tex]

[tex]f''(x)>0[/tex]

So, at [tex]x = 5[/tex] the value of the function is minimum.

Therefore, at [tex]x=5[/tex] and [tex]y=10-5=5[/tex] the function has minimum value of [tex]5^2+5^2=50[/tex]

For the finding the maximum values of [tex]x[/tex] and [tex]y[/tex] we have to use trial and error method

[tex]9^2+1^2=82[/tex]

[tex]8^2+2^2=68[/tex]

[tex]7^2+3^2=58[/tex]

[tex]6^2+4^2=52[/tex]

0 and 10 will not be considered as 0 is neither positive nor negative.

So, the maximum value of the numbers is 9 and 1 and the maximum value of the function is 82.

Learn more:

https://brainly.com/question/1625850?referrer=searchResults

Answer:

jkjjjjjjujhhhgvvvvvgvhjjhhhgvvg

Answer:

John is 18 years old at this point in time.

Step-by-step explanation:

This question is basic algebra. The equation you will need to write to solve it is (x-5) = (x+8)/2. When you solve this equation, the answer comes out to 18.

Answer:

1)

a. $6

b.$10

c. 2x

d. $3

e. $9

f. 2y

g. $22

h. $21.5

i. 2x + 1.5y

2)

a. 2x + 1.5y = 22

b. You could buy 2 tickets and 12 snacks

Step-by-step explanation:

Step-by-step explanation:

1. 200 = 10h

320 =

320x10 / 200

= 16h

2. 1.5 = 50m

x = 150 m

150x1.5 / 50

= 4.5cm

3. 4$ = 40balls

x = 100balls

100x4 / 40

= $10

[tex]y=mx+b[/tex]

First, we find the slope.

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{3-1}{4+6} \\m=\frac{2}{10}\\m=\frac{1}{5}[/tex]

Second, we know the slope. Substitute any ordered pairs that are given in the equation.

[tex]y=mx+b\\y=\frac{1}{5}x+b\\[/tex]

I'll use the ordered pairs (4,3) as I substitute x = 4 and y = 3.

[tex]3=\frac{1}{5}(4)+b\\3=\frac{4}{5}+b\\15=4+5b\\15-4=5b\\11=5b\\\frac{11}{5}=b[/tex]

Therefore, the equation is [tex]y=\frac{1}{5}x+\frac{11}{5}[/tex]

Answer:

Substitute the given value into the function and evaluate.

23 (y − 6) = −(y + 2) + 1 = y = 137/24

2 = y = 137/24

3 = y = 137/24

y − 6 = −(y + 2) + 1 = y = 5/2

Let's simplify step-by-step.

7x−2+10x+x+6x

=7x+−2+10x+x+6x

Combine Like Terms:

=7x+−2+10x+x+6x

=(7x+10x+x+6x)+(−2)

=24x+−2

Answer:

=24x−2 <----

Answer:

probably 24x-2

Step-by-step explanation:

combine like terms

Answer: -12x + 30

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

-6(2x-5)

-6(2x+5)

-6(2x) + 6(5)

-12x +30

Answer:

Angles 6 and 3. Hopefully this helps.

1 = 70

2 = 20

3 = 70

4 = 20

5 =110

Answer:

23x+y=-16

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Use conditional probability:

P(A given B) = P(A and B) / P(B)

P(4 given 3) = P(4 and 3) / P(3)

P(4 given 3) = (1/36) / (1/6)

P(4 given 3) = 1/6

Answer:

$4.80

Step-by-step explanation:

6 oranges for 1.80

sp 6 divided by 1.80 comes out to 0.3 per orange

0.3 times 16 comes out to 4.80

therefor $4.80

Answer:

$4.80

Step-by-step explanation:

1.80/6=0.3

0.3=$0.30 for each orange

16×0.3=4.8

4.8=$4.80 for 16 oranges

Answer:

What is X its fiesty

Step-by-step explanation:

fdsfa

hi! i'm not really sure if i comprehend this question clearly, but if you're talking about the vowels in the word "numbers"...

Answer:

the letter "u" and "e"

Step-by-step explanation:

vowels in english are: a, e, i, o, u

hope this helped but if you have any others questions, please feel free to let me know!

Answer:

3 percent because 8-5=3

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

Answer: god it's hard, but i will try

Answer:

c because the distance is important

Answer: the answer is 3

Step-by-step explanation:

Isolate the x so in other words do the opposite, then you have your answer.

Answer:

D

Step-by-step explanation:

BRUH ALL IT SAYS IS "IT HAS ADDITION" HOW CAN YOU NOT SEE THAT I-

Answer:

Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

I added an image down below of what the reflection looks like. Sometimes it helps to see things visually.

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line y = -2

Hope this helped!

Answer:

m<4= 60

m<1=60

m<3=30

Step-by-step explanation:

I'd like to explain but I would be very difficult to do with out being in person

Answer:

m1 = 60°

m2 = 90°

m3 = 30°

m4 = 60°

Step-by-step explanation:

m<5 + m<4 = 180° ( on a straight line)

120° + m<4 = 180°

m<4 = 60°

m<2 = m<3 + m<4

90° = m<3 + 60° ( on a straight line)

m<3 = 90° - 60°

m<3 = 30°

m<1 + m<2 + m<3 = 180°

m<1 = 180 - 90 -30

m<1 = 60°

Answer:

I believe it is x+3..

Step-by-step explanation:

Answer:

x = 5

which agrees with the first answer option listed

Step-by-step explanation:

Use the proportionality associated with similar triangles, considering that the larger triangle has sides:

x + (x+5) = 2 x + 5

and

(x+1) + (x-2) = 2 x - 1

and the smaller triangle:

x   and  (x-2)

The we build the following proportionality:

(2 x + 5) / x  = (2 x - 1) / (x - 2)

cross multiply to eliminate denominators:

(2 x + 5) (x - 2) = x (2 x - 1)

operate:

2 x^2 - 4 x + 5 x -10 = 2 x^2 - x

combine like terms:

2 x^2 + x -10 = 2 x^2 - x

subtract 2 x^2 from both sides:

x - 10 = - x

add x to both sides:

2 x  -10 = 0

add 10 to both sides

2 x= 10

divide both sides by 2:

x = 5

which agrees with the first answer option listed

Answer:

50 miles per hour

Step-by-step explanation:

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

*i had trouble wording that so yeah sorry about that*

Answer:

40% chose superman or thor

8% chose thor more than hulk

And 12% chose batman than Thor

Answer:

1) 40% of people chose Superman or Thor

2) 8% more people chose Thor than The Hulk

3)  15% more people chose Thor than Batman

Step-by-step explanation:

29 + 11 + 13 + 13 + 21 = 86

100 - 86 = 14

Batman: 14%

29 + 11 = 40

29 - 21 = 8

29 - 14 = 15

Doamin of the function

inf

4+1+1=6

Step-by-step explanation:

she already has 4 necklaces so than she got 2 for a dollar so that equals 6.