(27ах³ – 9а²x) ÷ Зах

translate each Graph as specified below(a)the graph of y=(x)+4 is shown. Translate it to get the graph of y=f(x)+4(b) The graph

Serggg [28]

Solution:

Given the graphs (a) and (b)

a) The function of graph (a) is

$f(x)=-4\sqrt{x+3}+1$

The graph of the function is shown below

Translating it to get the graph of

$y=f(x)+4$

The translated function becomes

$\begin{gathered} y=f(x)+4 \\ y=(-4\sqrt{x+3}+1)+4 \\ y=-4\sqrt{x+3}+1+4 \\ y=-4\sqrt{x+3}+5 \end{gathered}$

The translated graph is

b) The function of graph (a) is

$g(x)=-|x|$

The graph of the function is shown below

Translating it to get the graph of

$y=g(x-2)$

The translated function becomes

$\begin{gathered} y=g(x-2) \\ y=-|x-2| \end{gathered}$

The translated graph is

5 0

2 years ago

A certain computer loses half of its value every two years. If the value of the computer after 3 years is 425, what was the init

IrinaVladis [17]

Answer:

1,700

Step-by-step explanation:

The computation of the initial value of the computer is shown below:

Let us assume the value of a certain computer in the first year is X

In the second year, it is $\frac{X}{2}$

In the third year, it is $\frac{X}{2}$

In the fourth year, it is $\frac{X}{4}$

Now it is given that after 3 years, the value of the computer is = 425 i.e equal to

$\frac{X}{4} = 425$

So, X = 1,700

Hence, the initial value of the computer is 1,700

6 0

4 years ago

What is 28.26 rounded to the nearest hundreth

In-s [12.5K]

28.26 rounded to the nearest hundredth is 28.3

5 0

3 years ago

How to find the midpoint in a segment

Brilliant_brown [7]

Answer:

$\text{Segment midpoint formula}$

Step-by-step explanation:

$(\frac{x1 + x2}{2},\frac{y1+y2}{2})$

For example:

$\text{Points: } (4,9) (8,4)$

As long as you appropriately place the X and Y points, it doesn’t matter which $x \underset{1}$ etc you use.

$(\frac{4+8}{2},\frac{9+4}{2}) = 6, 6.5$

$\text{X midpoint: 6}\\\text{Y midpoint: 6.5}$

3 0

3 years ago

Two students from a group of eight boys and 12 girls are sent to represent the school in a parade.If the students are chosen at

jolli1 [7]

Answer:

The probability that the students chosen are not both girls is 62/95 ⇒ (c)

Step-by-step explanation:

* Lets explain how to find the probability of an event

- The probability of an Event = Number of favorable outcomes ÷ Total

number of possible outcomes

- P(A) = n(E) ÷ n(S) , where

# P(A) means finding the probability of an event A

# n(E) means the number of favorable outcomes of an event

# n(S) means set of all possible outcomes of an event

- Probability of event not happened = 1 - P(A)

- P(A and B) = P(A) . P(B)

* Lets solve the problem

- There is a group of students

- There are 8 boys and 12 girls in the group

∴ There are 8 + 12 = 20 students in the group

- The students are sent to represent the school in a parade

- Two students are chosen at random

∴ P(S) = 20

- The students that chosen are not both girls

∴ The probability of not girls = 1 - P(girls)

∵ The were 20 students in the group

∵ The number of girls in the group was 12

∴ The probability of chosen a first girl = 12/20

∵ One girl was chosen, then the number of girls for the second

choice is less by 1 and the total also less by 1

∴ The were 19 students in the group

∵ The number of girls in the group was 11

∴ The probability of chosen a second girl = 11/19

- The probability of both girls is P(1st girle) . P(2nd girl)

∴ The probability of both girls = (12/20) × (11/19) = 33/95

- To find the probability of both not girls is 1 - P(both girls)

∴ P(not both girls) = 1 - (33/95) = 62/95

* The probability that the students chosen are not both girls is 62/95

5 0

3 years ago

(27ах³ – 9а²x) ÷ Зах​

(27ах³ – 9а²x) ÷ Зах