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2 years ago

PLEASE HELP!! which graph represents the function f(x) = -|x| - 2

Mathematics

1 answer:

Nonamiya [84]2 years ago

4 0

Answer:

The graph on the far right

Step-by-step explanation:

The negative in front of the absolute value indicates that the parent function |x| has been reflected over the x-axis and points downwards. The negative 2 being added to this portion shows that there has been a vertical shift of two units downwards as well. Therefore, the graph on the far right is the correct graph.

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Complete the square to put () in vertex form. () = 3<br> 2 + 30 − 12. What is the vertex?

gulaghasi [49]

Answer:

A and A

the equation of a parabola in vertex form is

y = a(x - h)² + k

where ( h, k ) are the coordinates of the vertex and a is a multiplier

y = - 2(x + 3)² + 2 is in this form

with vertex = ( - 3, 2)

To find the y-intercept let x = 0

y = - 2(3)² + 2 = - 18 + 2 = - 16

Similarly

y = - 2(x + 2)² + 2 is in vertex form

vertex = ( - 2 , 2)

x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept

hope this helped

8 0

3 years ago

What is the percent of decrease from 90,000 to 60,000?

Iteru [2.4K]

Answer:

33.34%

Step-by-step explanation:

60000 = 66.66% from 90.000
The decreasing is 30.000 which equal to 33.33% from 90.000

3 0

2 years ago

9 A rectanglar ground is 22m long and 13m broad. Find its perimeter and lenghth of wire to fonce it around 3 times.

Reptile [31]

Answer:

Step-by-step explanation:

<h3><u>Given</u>:</h3>

Length = 22m

Breadth = 13m

Perimeter of the ground = ?

<h3><u>Solution:</u></h3>

1st answer-

Perimeter = 2(l + b)

= 2(22 + 13)

= 70m

2nd answer-

Length of wire needed to fence around the ground = 70m * 3

= 210m

PLS mark as brainliest!!

8 0

2 years ago

City buses have an average of 1400 daily riders. During a gas shortage, the average number was 1554. What percent did the averag

I am Lyosha [343]

Answer:

11%

Step-by-step explanation:

<em>Percentage increase = (New average- previous average)/previous average x 100</em>

<em>New average: 1554</em>

<em>Previous average: 1400</em>

Percentage increase = (1554-1400)/1400 x 100

Percentage increase = 154/1400 x 100

Percentage increase = 0.11 x 100

Percentage increase = 11%

Therefore, the average increased by 11%.

5 0

3 years ago

You have 40 different books (20 math books, 15 history books, and 5 geography books). a. You pick one book at random. What is th

svetoff [14.1K]

Answer:

a. $\frac{3}{8}$

b. $\frac{7}{52}$

c. $\frac{95}{156}$

Step-by-step explanation:

Given,

Total books = 40,

Maths books = 20,

History books = 15,

Geography books = 5,

a. If a book is randomly selected,

Then the probability that the book is a history book,

$=\frac{\text{Ways of choosing history book}}{\text{Ways of choosing any one book}}$

$=\frac{^{15}C_1}{^{40}C_1}$

$=\frac{15}{40}$

$=\frac{3}{8}$

b. If two book is randomly selected,

Then the probability that both books are from history,

$=\frac{\text{Ways of choosing two history book}}{\text{Ways of choosing any two book}}$

$=\frac{^{15}C_2}{^{40}C_2}$

$=\frac{\frac{15!}{2!13!}}{\frac{40!}{2!38!}}$

$=\frac{105}{780}$

$=\frac{7}{52}$

c. If two book is randomly selected,

Ways of selecting any two books from different subjects

= maths and history + maths and geography + history and geography,

$=^{20}C_1\times ^{15}C_1+^{20}C_1\times ^{5}C_1+^{15}C_1\times ^{5}C_1$

$=20\times 15 + 20\times 5 + 15\times 5$

$=300 + 100 + 75$

$=475$

Then the probability that both books are from different subjects

$=\frac{\text{Ways of selecting any two books from different subjects}}{\text{Ways of choosing any two book}}$

$=\frac{475}{780}$

$=\frac{95}{156}$

7 0

3 years ago