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katen-ka-za [31]
3 years ago
10

Jerry and Katja are running in a race. Jerry runs really fast for a while. Then, he stops to catch his breath. After he has rest

ed, he runs really fast again until the end of the race. Katja runs slower than Jerry, but runs at the same pace the whole race.
In two or more complete sentences, explain which line on the graph models Jerry and which line models Katja. Include an explanation for the intersection point.

Mathematics
2 answers:
dimaraw [331]3 years ago
7 0
Katja would be the straight line and joels line would show sections that stop going up it would intersect at some point because katja is constantly moving while joel takes breaks in-between


Hope this helps!! :))
cestrela7 [59]3 years ago
5 0

Answer:

Jerry would be the purple line on the graph.

We can see that he goes faster than Katja as the gradient is greater than katja's until he stops for a period of time and that's why we see that as time passes, the distance doesn't go up until he starts running at a faster pace than Katja.

Katja is the orange line on the graph, where she is moving at a slower constant pace and that's why the gradient of the line is less steep. However, she never stops as the distance always goes up as the time increases.

The intersection point is the moment and distance where Katja surpasses Jerry.

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Classify the polynomial according to its degree and number of terms 3x^2+8x​
Sunny_sXe [5.5K]

Answer:

Classifying Polynomials

Polynomials can be classified two different ways - by the number of terms and by their degree.

1. Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Examples:

5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.

3x4+4x2The highest exponent is the 4 so this is a 4th degree binomial.

8x-1 While it appears there is no exponent, the x has an understood exponent of 1; therefore, this is a 1st degree binomial.

5 There is no variable at all. Therefore, this is a 0 degree monomial. It is 0 degree because x0=1. So technically, 5 could be written as 5x0.

3x2y5 Since both variables are part of the same term, we must add their exponents together to determine the degree. 2+5=7 so this is a 7th degree monomial.

Classify these polynomials by their degree.

1.7x3+52+1

2.6y5+9y2-3y+8

3.8x-4

4.9x2y+3

5.12x2

Answers 1) 3rd degree 2) 5th degree 3) 1st degree 4) 3rd degree 5) 2nd degree

6 0
3 years ago
Given the equation 6/x=3/k+2, and the constraints x ≠ 0 and k ≠-2, what is x in terms of k?
Veronika [31]

Answer:

A) 2k+4

Step-by-step explanation:

To solve for terms of x, we need to. she sure that x is on its own side while every other term is on the other side.

To start, we will cross multiply. If we have a/b=c/d, then ad=bc

We can perform the same calculation here,

6/x=3/(k+2)

6(k+2)=3x

Divide both sides by 3

2(k+2)=x

x=2k+4

7 0
3 years ago
Hello! Can some please help me on this problem?
slega [8]

Answer:

It is 1) True hope this helps

5 0
3 years ago
In need of help of these math questions
vitfil [10]

Answer:

1. 4

2.  6.4

3. 10.0828313253

Explanation:

2.

15/12=1.25

8/1.25=6.4

3. ill write explanation for 3 later im  occupied those are the correct answers

problably they want you to round to nearest tenth

4 0
3 years ago
The linear equation of the initial (red ) incline would be y = __x +__
RideAnS [48]

Answer:

y=\underline {1.5}x+\underline 0

Step-by-step explanation:

From the graph,

The initial red incline is a straight line passing through the origin.

So, a straight line passing through the origin is of the form:

y=mx+0

Where, 'm' is the slope.

Now, the slope of a given as the change in y value to change in x value.

Consider the two end points of the red line (0, 0) and (4, 6).

The slope with two points (x_1,y_1)\ and\ (x_2,y_2) on the line is given as:

m=\frac{(y_2-y_1)}{(x_2-x_1)}

Plug in x_1=0,y_1=0,x_2=4,y_2=6. Therefore, slope is:

m=\frac{6-0}{4-0}\\m=\frac{6}{4}=1.5

Hence, the equation of the initial red incline is:

y=\underline {1.5}x+\underline 0

3 0
3 years ago
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