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3 years ago

What are the coordinates of the image of vertex D after a reflection across the x-axis?

Mathematics

1 answer:

Elena-2011 [213]3 years ago

4 0

Answer:

(-3,5) ia the answer

Step-by-step explanation:

It is because when you reflect it across the x axis the first coordinate will be negative and the second number is positive since its in the second square of the graph, so it is more of a resonable guess.

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The following table shows the number of hours some students in two universities spend reading each week: School A 7 2 3 10 17 14

pychu [463]

The value of $Q_{1}$ , $Q_{2}$ , and $Q_{3}$ for each schools is given in the first picture below.

$Q_{1}$ is the lower quartile
$Q_{2}$ is the median
$Q_{3}$ is the upper quartile

School A:
Minimum value is 2
Maximum value is 22
The lower quartile is 2.5
The median is 10
The upper quartile is 15.5

School B:
Minimum value is 9
Maximum value is 20
The lower quartile is 12
The median is 16
The upper quartile is 18

The box plot for each school is shown in the second picture

Box plot for school A isn't symmetrical. The data tails on the right
Box plot for school B isn't symmetrical. The data tails on the left

8 0

3 years ago

Two positive numbers have a difference of 8 and a product of 33. What are these numbers?

valina [46]

Answer:

3 and 11

Step-by-step explanation:

3 times 11 is 33

11 - 3 is 8

4 0

3 years ago

Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Vaselesa [24]

ANSWER

$f( - 6) = 10$

EXPLANATION

The given function is
$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$

According to the remainder theorem,

$f( - 6) = R$
where R is the remainder when
$f(x)$

is divided by
$x + 6$

We therefore substitute the value of x and evaluate to obtain,

$f( - 6) = { (- 6)}^{4} + 8 {( - 6)}^{3} + 10 { (- 6)}^{2} - 7( - 6)+ 40$

$f( - 6) = 1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40$

$f( - 6) = 1296 - 1728 + 360 + 42+ 40$

This will evaluate to,

$f( - 6) = 10$

Hence the value of the function when
$x = - 6$

is
$10$

According to the remainder theorem,
$10$
is the remainder when

$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$
is divided by
$x + 6$

3 0

3 years ago

A town is fencing a rectangular field that is 200 feet long and 150 feet wide. At $10 per foot, how much will it cost to fence t

labwork [276]

Perimeter of a rectangle is

2*width + 2*length

then multiply the perimeter by the cost per foot

2*(150ft) + 2*(200ft)

300ft + 400ft

700ft

700ft * $10/ft

$7000

6 0

3 years ago

4. In a women's professional tennis tournament, the money a player wins depends on her finishing place in the

Stels [109]

Using geometric sequence concepts, it is found that:

a) The rule is: $P_n = 750000(0.5)^{n-1}$ .

b) An exponential relationship exists between the two variables.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

A geometric sequence represents an exponential relationship between the variables.

In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:

$a_1 = 750000, q = 0.5$ .

Hence the nth term of the sequence is given by:

$P_n = 750000(0.5)^{n-1}$

More can be learned about geometric sequence concepts at brainly.com/question/11847927

#SPJ1

4 0

2 years ago