The graph below shows the distance (y) between Hannah and her home, in km, after a certain time (x), in hours:Which of the following statements best describes Hannah"s distance from her home?

Answers

Answer 1

Answer: Alright, from the graph, we know that Hannah's distance between hour 2 and hour 4 isn't uniform, so what we need to do is break the graph down a little.

When we break it down, we learn that Hannah's distance between hour 2 and hour 3 is decreasing because the y value decreases, and that Hannah's distance between hour 3 and hour 4 is increasing, because the y value starts increasing again.

Once we know that, all that's left is to match it up with the choices given. We can eliminate choices A and D because Hannah's distance between hour 2 and hour 4 isn't uniform, leaving us with B and C.

Between hours 2 and 3, we know that Hannah's distance is decreasing because the y value decreases, giving you your answer, which is C!

Answer 2

Answer:

It is decreasing in the interval 2 < x < 3 hours

Step-by-step explanation:

i took the test

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Six times the sum of a number and twelve is forty. Which equation represents this?6N + 12N = 406N + 12 = 406(N + 12) = 40

How do you solve 4(6x-1)=120 if you're solving for x

Answers

4(6x-1)=120
Multiply the number outside the parenthesis(4) with the numbers inside the parenthesis(6 and -1)
24x-4=120
Add 4 to both sides
24x=124
Divide both sides by 24
Final Answer: x= 5.1667 or 5 1667/10,000

The endpoint of MP are M(2,1) and P(14,10). If point K partitions MP in aratio of MK:KP=3:2, what are the coordinates of K?

Answers

Answer: The required co-ordinates of he point K are (9.2, 7).

Step-by-step explanation: Given that the the endpoint of MP are M(2,1) and P(14,10) and the point K partitions MP in the ratio of MK : KP = 3 : 2.

We are to find the co-ordinates of point K.

We know that

the co-ordinates of a point that divides the line joining the points (a, b) and (c, d) in the ratio m : n are given by

$\left((mc+na)/(m+n),(md+nb)/(2)\right).$

For the given division, m : n = 3 : 2.

Therefore, the co-ordinates of the point K are

$\left((3*14+2*2)/(3+2),(3*10+2*1)/(3+2)\right)\n\n\n=\left((42+4)/(5),(30+2)/(5)\right)\n\n=\left((46)/(5),(35)/(5)\right)\n\n=(9.2,7).$

Thus, the required co-ordinates of the point K are (9.2, 7).

2(2,1)(14,10)

(4,2) - (14,10)= (-10, -8)

The coordinates of K are (-10, -8).

(2x -2 1/5 - -4) ÷ -5

Answers

Answer:

(-2x ÷ 5) - (9/5 ÷ 5) = -2/5 * x - 9/25

Step-by-step explanation:

To solve the expression (2x - 2 1/5 - -4) ÷ -5, we need to follow the order of operations, also known as PEMDAS.

1. First, simplify the expression inside the parentheses (-2 1/5 - -4).

To subtract a negative number, we can change it to addition. So, (-2 1/5 - -4) becomes (-2 1/5 + 4).

Next, let's convert the mixed number -2 1/5 to an improper fraction.

-2 1/5 = -11/5

Now we can add the fractions: -11/5 + 4.

To add these fractions, we need a common denominator. The least common denominator for 5 and 1 is 5.

-11/5 + 4/1 = -11/5 + 20/5 = 9/5

Therefore, (-2 1/5 - -4) simplifies to 9/5.

2. Now, let's substitute the simplified expression back into the original expression: (2x + 9/5).

3. Finally, divide the expression by -5: (2x + 9/5) ÷ -5.

To divide by a negative number, we can multiply the expression by -1 and then divide by 5.

(2x + 9/5) ÷ -5 = (-1)(2x + 9/5) ÷ 5

Applying the distributive property, we get:

(-1)(2x + 9/5) ÷ 5 = (-2x - 9/5) ÷ 5

To divide by 5, we can multiply each term by 1/5:

(-2x - 9/5) ÷ 5 = (-2x ÷ 5) - (9/5 ÷ 5)

Simplifying further:

-2x ÷ 5 = -2/5 * x

9/5 ÷ 5 = 9/25

Therefore, the final answer is:

(-2x ÷ 5) - (9/5 ÷ 5) = -2/5 * x - 9/25

Please note that this is the simplified form of the expression, assuming that no specific value for x is given.

the answer is -10x+9/25

Find the area of the parallelogram. pick one of these30 sq cm
40 sq cm
12 sq cm
17 sq cm

Answers

Answer:

The area of the parallelogram is 40.

Step-by-step explanation:

You multiply the base by the height:

4*10= 40

40 sq
Explanation: I took the test

If x is a negative number, which of the following could equal the absolute value of x? Select all that apply.A. -2
B. 2
C. 4
D. 6

Answers

The absolute value of a number is its distance from zero. There can not be a negative distance from zero. Therefore, all absolute values are positive, no matter if the value inside them is positive or negative. So, B, C, and D can each be the absolute value of some number x, because they are all positive.

Hope this helps! :)

the answer to your question is B, C, and D.

What is 8/5+ (-1/3)

Answers

Answer:

19/15

Step-by-step explanation:

19/15 is the answer