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stepladder [879]
3 years ago
13

What is the answer ?

Mathematics
1 answer:
notka56 [123]3 years ago
4 0

Answer:

A) 2

Step-by-step explanation:

I<em>n a box-and-whisker plot, the left "whisker" is the bottom 25%, the line between the two "boxes" is to 50%, and the right "whisker" is the top 25%</em>.

In class 2, the 90 point mark is where the line between the boxes are, which means that 50% of the class earned 90% or less. That is 13/2 = <em>6.5 people</em> (this is impossible but it will work out)

In class 1, the 80 point mark is also where 50% is. So, half of the students, 17/2 = <em>8.5 people</em>, have 80 points or less.

<em>8.5 - 6.5 =</em> 2 people.

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Write a function to represent the set of ordered pairs.
77julia77 [94]

Answer:

Option C   f (x) = x^ 2 - 2

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9

Therefore the relationship is not linear.

However, the exchange rate y_n- y_{n-1} increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

y = x ^ 2

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is y = x ^ 2 then the function that contains the ordered pairs of the B set is:

y = x ^ 2 -2

The correct option is option C) f (x) = x^ 2 - 2

8 0
3 years ago
Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left
Roman55 [17]

Answer: x=100

Step-by-step explanation:

In parallelograms the opposite angles are equal. As the bottom left angle is 80° the opposite angle (top right), is also 80°. All 4 angles in a quadrilateral must add up to 360. Because you know 2 angles added together are 160° the other two angles must equal 200°. As opposite angles are equal you know 2x=200, divide by 2 x=100

8 0
2 years ago
Read 2 more answers
A sequence is defined by f(0) = -20, f(n) = f(n-1) - 5 forn &gt; 1.
bulgar [2K]

Answer:

1. Proved down

2. proved down

3. f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5

Step-by-step explanation:

Let us explain how to solve the question

∵ f(0) = -20, f(n) = f(n - 1) - 5 for n > 1

→ That means we have an arithmetic sequence with constant

   difference -5 and first term -20

1. → f(1) means we need to find the second term, which equal the

      term - 5

∵ f(1) means n = 1

∴ f(1) = f(1 - 1) - 5

∴ f(1) = f(0) - 5

∵ f(0) = -20

∴ f(1) = -20 - 5 → Proved

2. → f(3) means we need to find the third term, which equal the

   second term - 5

∵ f(3) means n = 3

∴ f(3) = f(3 - 1) - 5

∴ f(3) = f(2) - 5

→ f(2) = f(1) - 5

∵ f(1) = -20 - 5

∴ f(2) = [-20 - 5] - 5 = -20 - 5 - 5

∴ f(3) = [-20 - 5 - 5] - 5

∴ f(3) = -20 - 5 - 5 - 5 → Proved

3. → From 1 and 2 we notice that the number of -5 is equal to n,

      at n = 1 there is one (-5), when n= 3 there are three (-5)

∵ n = 10

∴ There are ten (-5)

∴ f(10) = -20 - 5(10)

∴ f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 → Proved

6 0
3 years ago
Which of the following points are solutions to the system of inequalities shown below?
Ira Lisetskai [31]
Y > 6x + 5
y < -6x + 7
(2,17)
17 > 6(2)+5 ; 17> 17 NO
(8,8)
8>6(8)+5 NO
(-2,18)
18>6(-2)+5
18>-7 YES
18< -6(-2)+7
18< 12+7 YES (-2,18) is an answer
(0,6)
6>6(0)+5
6>5 YES
6<-6(0)+7
6<7 YES (0,6) is an answer
(-2,19)
19>6(-2)+5
19>-7 NO
(2,18)
18>6(2)+5
18>17 YES
18< -6(2)+7
18< -5 NO

3 0
3 years ago
The deck on a home is shaped like a parallelogram. The parallelogram has an area of 544.5 ft2 and a base measurement of 16.5 ft.
defon

<u><em>Answer:</em></u>

The height of the parallelogram is 33 ft

<u><em>Explanation:</em></u>

<u>The area of the parallelogram can be calculated using the following rule:</u>

Area of parallelogram = base * height

<u>In the problem, we are given that:</u>

Area = 544.5 ft²

Base = 16.5 ft

<u>Substitute with the given values in the above equation and solve for the height as follows:</u>

Area = base * height

544.5 = 16.5 * height

height = \frac{544.5}{16.5} = 33 ft

Hope this helps :)

5 0
3 years ago
Read 2 more answers
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