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4 years ago

Simplify the following expression 2x-5(2x-7y+3)+(-8)

1 answer:

4 0

You need to distribute the -5 and(2x-7y+3)which gives you -10x+35y-15. Now you have 2x-10x+35y-15+-8. Combine like terms, 2x-10x=-8x, also combine -15+-8= -23. The answer would be -8x+35y-23.

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The data represent the age of world leaders on their day of inauguration. Find the five-number summary, and construct a boxplot

Mumz [18]

Answer:

Minimum value = 43, $Q_1=52$ , $Q_2=Median=61$ , $Q_3=67$ , Maximum value = 69.

Distribution is negative skewed.

Step-by-step explanation:

The given data set is

44, 43, 67, 68, 57, 65, 52, 62, 69, 54, 53, 61, 67, 48, 65

Arrange the data in ascending order

43, 44, 48, 52, 53, 54, 57, 61, 62, 65, 65, 67, 67, 68, 69

Divide the data in 4 equal parts.

(43, 44, 48), 52, (53, 54, 57), 61, (62, 65, 65), 67, (67, 68, 69)

Minimum value = 43

$Q_1=52$

$Q_2=Median=61$

$Q_3=67$

Maximum value = 69

Starting and end point of box plot represent the minimum and maximum value respectively. Box starts from the first quartile to the third quartile. A vertical line goes through the box at the median.

The shape of the distribution.

Normally distributed: If $Q_3-Q_2=Q_2-Q_1$

Positive skew: If $Q_3-Q_2>Q_2-Q_1$

Negative skew: If $Q_3-Q_2$

For the given data set

$Q_3-Q_2=67-61=6$

$Q_2-Q_1=61-52=9$

Since $Q_3-Q_2$ , therefore the given distribution is negative skewed.

5 0

4 years ago

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

$g(x)=-5x^{2}+100x-450$

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

$g(x)=-5x^{2}+100x-450$

Complete the square

$g(x)=-5(x^{2}-20x)-450$

$g(x)=-5(x^{2}-20x+100)-450+500$

$g(x)=-5(x^{2}-20x+100)+50$

$g(x)=-5(x-10)^{2}+50$

The vertex is the point (10,50)

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0

3 years ago

Read 2 more answers

Someone help please!!! Urgent!!!!!

Romashka [77]

What is it? ...........

8 0

4 years ago

Using the order of precedence for arithmetic operators, these two formulas will calculate the same result: =22/2*5 =22/(2*5).

sattari [20]

It is false. These two formula will not give the same result.
22/2 x 5 = 11 x 5 = 55
22/(2 x 5) = 22 / 10 = 2.2
So, you see both have different answers.

7 0

3 years ago

Which expressions are equal to the expression –16.8 – 4.7? Choose all answers that are correct.

ad-work [718]

$Use\ commutative\ property:a+b=b+a\\\\-16.8-4.7=-16.8+(-4.7)\\\\therefore:\\\\a.\ -4.7-16.8=-4.7+(-16.8)=-16.8+(-4.7)=-16.8-4.7\ CORRECT\\\\b.\ -4.7+16.8\ NOT\\\\c.\ -16.8+(-4.7)=-16.8-4.7\ CORRECT\\\\d.\ 16.8-(-14.7)=16.8+14.7\ NOT$

$Your\ answer:\huge\boxed{a\&c}$

7 0

3 years ago