Part 1:For the following system of equations, write your own real world scenario that describes what is happening. Use complete sentences and correct grammar in your scenario.

Part 2:
Solve the system and explain what the results mean according to your scenario.

2x + y = 11
3x + 4y = 24
...?

Answers

Answer 1

Answer: Here are my answers to the given questions above:
Part 1. Here is my example of a real life scenario that describes what is happening. Let us say, I have 2 cookies and the bottle of milk costs 11 dollars, and 3 cookies and 4 bottles of milk cost 24 dollars.
Part 2.
y=11-2x
3x+4(11-2x)=24
3x+44-8x=24
-5x=-20
x=4
y=11-8
y=3
Therefore, each cookie costs 4 dollars, and a bottle of milk costs 3 dollars.
Hope this answer helps. Let me know if you need more help next time.

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If a/b = 2 /5, b/c = 3 /8, a/c =??

Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?2feet

16 feet

32 feet

64 feet

Answers

Answer:

Option D - 64 feet.

Step-by-step explanation:

Given : Ja'Von kicks a soccer ball into the air. The function $f(x) = -16(x-2)^2 + 64$ represents the height of the ball, in feet, as a function of time, x, in seconds.

To find: What is the maximum height the ball reaches?

Solution :

To find the maximum height of the ball we find the derivative,

$f(x) = -16(x-2)^2 + 64$

Derivate w.r.t x

$f'(x) = -16* 2(x-2)+0$

$f'(x) = -32(x-2)$

To find maxima put $f'(x)=0$

$0= -32(x-2)$

$32x=64$

$x=2$

Now, we find the second derivative form maximum,

$f''(x) = -32<0$

Therefore, The maximum point is at x=2

Substitute x=2 in the given function,

$f(2) = -16(2-2)^2 + 64$

$f(2) = -16(0)+ 64$

$f(2) = 64$

Therefore, Option D is correct.

The maximum height the ball reaches is 64 feet.

Answer:

Step-by-step explanation:

Five more than three times a number is 196 what is the number?

Answers

$x-the\ number\n\n5+3x=196\n\n3x=191\ /:3\n\nx= (191)/(3) \n\nx=63 (2)/(3)$

Can you help me please?

Answers

Answer:

y=x^2

Step-by-step explanation:

if you look at it, x is constantly multiplying itself so-

What is the mode of the data set?
23 95 100 23 100 100

Answers

Go to the second pic for your answer. I got problem 4 wrong but it shows the correct answer.

The mode would be 100

Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture. What is the system that models this situation?

Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.

Answers

Answer: The system that models this situation is:

{p+m=50.6p+0.2m=0.6×5

This system can be solved by substitution or elimination. One possible solution is:

Multiply the second equation by 5 to eliminate the fractions:

{p+m=53p+m=15

Subtract the first equation from the second equation to eliminate m:

2p=10

Solve for p:

p=210=5

Substitute p into the first equation to find m:

m=5−p=5−5=0

The solution is (p, m) = (5, 0), which means Delaney needs 5 lb of peanuts and 0 lb of mixture.

Another possible solution is:

Multiply the first equation by -0.2 to eliminate m:

{−0.2p−0.2m=−10.6p+0.2m=3

Add the two equations to eliminate m:

0.4p=2

Solve for p:

p=0.42=5

Substitute p into the first equation to find m:

m=5−p=5−5=0

The solution is (p, m) = (5, 0), which means Delaney needs 5 lb of peanuts and 0 lb of mixture.

Therefore, the only correct option among the given choices is 4 lb peanuts and 1 lb mixture.

PLEASE HELP ME!!!! 50 points! Given the points C(-1, -3) and D(5, 6), find the coordinates of the point E on directed line segment CD that partitions CD into the ratio 2 to 1.

A. (1, 0)

B. (3, 3)

C. (-3, 3)

D. (2, 1.5)

Answers

Answer:

B. (3,3)

Step-by-step explanation:

In order to find the coordinates of point E that partitions the line segment CD into a ratio of 2:1, we can use the following formula for finding the coordinates of a point that divides a line segment in a given ratio:

For a line segment with endpoints A(x1, y1) and B(x2, y2), and a division ratio of m:n, the coordinates of the point E(x, y) that divides the line segment in this ratio are given by:

$\sf x =( (m* x_2 + n* x_1) )/((m + n))$

$\sf y =( (m* y_2 + n* y_1) )/((m + n))$

In this case, we want to divide the line segment CD into a ratio of 2:1, so m = 2 and n = 1.

Wehave the coordinates of C(-1, -3) and D(5, 6).

Using the formula:

$\begin{aligned} x &\sf =( (2* 5 + 1* (-1)))/( (2 + 1)) \n\n &\sf = (10-1)/(3)\n\n &\sf = (9)/(3)\n\n &\sf = 3 \end{aligned}$

and

$\begin{aligned} y &\sf =( (2* 6 + 1* (-3)) )/( (2 + 1)) \n\n &\sf = (12-3)/(3) \n\n &\sf = (9)/(3)\n\n &\sf = 3 \end{aligned}$

So, the coordinates of point E that partitions the line segment CD into a ratio of 2:1 are E(3, 3).

So, the answer is B. (3,3)

Answer:

Step-by-step explanation:

bc yes

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Part 1:For the following system of equations, write your own real world scenario that describes what is happening. Use complete sentences and correct grammar in your scenario.Part 2:Solve the system and explain what the results mean according to your scenario.2x + y = 113x + 4y = 24...?

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Part 1:For the following system of equations, write your own real world scenario that describes what is happening. Use complete sentences and correct grammar in your scenario.

Part 2:
Solve the system and explain what the results mean according to your scenario.

2x + y = 11
3x + 4y = 24
...?