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3 years ago

Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)+3?

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

5 0

Answer:

Step-by-step explanation:

When the number is positive and not inside the parentheses it means it gets translated up.

You might be interested in

List the independent and dependent variables for each situation:

natulia [17]

Part (a)

Independent variable = age
Dependent variable = height

"depends on age" indicates that age is independent.

-----------------------------------
Part (b)

Independent variable = amount of sleep
Dependent variable = mood

The key word is "determines". The stuff before this word is the independent variable which affects the dependent variable.
-----------------------------------
Part (c)

Independent variable = time water has been running
dependent variable = amount of water in the tub

Time is usually the independent variable
-----------------------------------
Part (d)

Independent variable = speed
dependent variable = distance from home

-----------------------------------
Part (e)

Independent variable = amount of homework done
dependent variable = speed

This seems like an odd pairing of homework and speed. Could there be a typo? I noticed that part (f) is very similar

-----------------------------------
Part (f)

Independent variable = amount of hw that is assigned
dependent variable = amount of homework done

Like with part (a), the stuff before "depends" is the dependent variable

4 0

4 years ago

Mr. Green teaches mathematics and his class recently finished a unit on statistics. The student scores on this unit are: 40 47 5

Harrizon [31]

Answer:

Mean = 64.46, Median = 62 and Mode = Bi-modal (50 and 62)

Range of the data is 55.

Step-by-step explanation:

We are given that Mr. Green teaches mathematics and his class recently finished a unit on statistics.

The student scores on this unit are: 40, 47, 50, 50, 50, 54, 56, 56, 60, 60, 62, 62, 62, 63, 65, 70, 70, 72, 76, 77, 80, 85, 85, 95.

We know that Measures of Central Tendency are: Mean, Median and Mode.

Mean is calculated as;

Mean = $\frac{\sum X}{n}$

where $\sum X$ = Sum of all values in the data

n = Number of observations = 24

So, Mean = $\frac{40+ 47+ 50+ 50+ 50+ 54+ 56+ 56+ 60 +60+ 62+ 62+ 62+ 63+ 65+ 70+ 70+ 72+ 76+ 77+ 80+ 85+ 85+ 95}{24}$

= $\frac{1547}{24}$ = 64.46

So, mean of data si 64.46.

For calculating Median, we have to observe that the number of observations (n) is even or odd, i.e.;

If n is odd, then the formula for calculating median is given by;

Median = $(\frac{n+1}{2})^{th} \text{ obs.}$

If n is even, then the formula for calculating median is given by;

Median = $\frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.} }{2}$

Now here in our data, the number of observations is even, i.e. n = 24.

So, Median = $\frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.} }{2}$

= $\frac{(\frac{24}{2})^{th}\text{ obs.} +(\frac{24}{2}+1)^{th}\text{ obs.} }{2}$

= $\frac{(12)^{th}\text{ obs.} +(13)^{th}\text{ obs.} }{2}$

= $\frac{62 + 62 }{2}$ = $\frac{124}{2}$ = 62

Hence, the median of the data is 62.

A Mode is a value that appears maximum number of times in our data.

In our data, there are two values which appear maximum number of times, i.e. 50 and 62 as these both appear maximum 3 times in the data.

This means our data is Bi-modal with 50 and 62.

The Range is calculated as the difference between the highest and lowest value in the data.

Range = Highest value - Lowest value

= 95 - 40 = 55

Hence, range of the data is 55.

5 0

4 years ago

Solve for x. 2/x^2−4 − 1/x+2=3/x−2 −32 −12 23 2

Alex Ar [27]

Answer:

x = -1/2.

Step-by-step explanation:

x^2 - 4 = (x - 2)(x + 2) so if we multiply each term by x^2 -4 we get:

2 - 1(x - 2) = 3(x + 2)

2 - x + 2 = 3x + 6

2 + 2 - 6 = 3x + x

4x = -2

x = -1/2.

4 0

3 years ago

Read 2 more answers

The perimeter of a rectangle is 84. If the length is 2 more than three times the width, what are the dimensions of the rectangle

Marina86 [1]

The perimeter solved shows that the dimensions of the rectangle are 32 and 10.

<h3>How to calculate the perimeter</h3>

Let the width be w

Length = 3w + 2

Perimeter = 2(length + width)

Perimeter = 2(3w + 2) + 2w

6w + 4 + 2w = 84

8w + 4 = 84

8w = 84 - 4

w = 80/8

w = 10

Length = 3w + 2

Length = 3(10) + 2

Length = 32

The dimensions of the rectangle are 32 and 10.

Learn more about perimeter on:

brainly.com/question/19819849

5 0

2 years ago

A rectangle has a length of 12 feet and a perimeter of 40 feet

yawa3891 [41]

Answer:

x= 8 feet (answer : A)

Step-by-step explanation:

hello :

the perimeter is : P= 2(x+y) y : the length x : the width

P=40 and y = 12 calculate : x

2(x+12) =40

divid by 2 : x+12 =20

x=20-12

x= 8 feet

3 0

4 years ago