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Tema [17]
2 years ago
13

Select ALL the correct answers. Consider the graph given below. A diagonal curve declines from (negative 2, 10), (0, 6), (1, 4),

(2, 2), (3, 0), (4, negative 2), (5, negative 4), (6, negative 6), (7, negative 8),and (8, negative 10) on an x y coordinate plane. Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above.
Mathematics
1 answer:
natulia [17]2 years ago
3 0

The sequences of transformations that could be applied to the parent function, f(x) = x, to obtain the graph are; Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units.

<h3>How to carry out transformations?</h3>

We are given the parent function:

f(x) = x

If we draw it on the coordinate plane, then the transformed function when compared to the original function will be gotten as: y = -2x + 6

Now, the only way that the given graph can be transformed to the coordinates given in the question is;

Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units.

Read more about Transformations at; brainly.com/question/4289712

#SPJ1

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Express 5×-4y=20 in the form a×+by+c=0and write the value of a,band c<br><br>​
finlep [7]

Answer:

a = 5

b = -4

c = -20

Step-by-step explanation:

Here, we want to express the given equation in the following form;

So we can have this as;

5x-4y-20 = 0

That means we have;

a as 5

b as -4

and c as -20

4 0
3 years ago
How many permutations of the 26 letters of the English alphabet do not contain any of the strings fish, rat, or bird
NARA [144]

The number of permutations of the 26 letters of the English alphabet that do not contain any of the strings fish, rat, or bird is 402619359782336797900800000

Let

\mathcal{E}=\{\text{All lowercase letters of the English Alphabet}\}\\\\B=\overline{\{b,i,r,d\}} \cup \{bird\}\\\\F=\overline{\{f,i,s,h\}} \cup \{fish\}\\\\R=\overline{\{r,a,t\}} \cup \{rat\}\\\\FR=\overline{\{f,i,s,h,r,a,t\}} \cup \{fish,rat\}

Then

Perm(\mathcal{E})=\{\text{All orderings of all the elements of } \mathcal{E}\}\\\\Perm(B)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing bird}\}\\\\Perm(F)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing fish}\}\\\\Perm(R)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing rat}\}\\\\Perm(FR)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing both fish and rat}\}\\

Note that since

F \cap R=\varnothing, Perm(F)\cap Perm(R)\ne \varnothing

But since

B \cap R \ne \varnothing, Perm(B)\cap Perm(R)= \varnothing

and

B \cap F \ne \varnothing , Perm(B)\cap Perm(F)= \varnothing

Since

|\mathcal{E} |=26 \text{, then, } |Perm(\mathcal{E})|=26! \\\\|B|=26-4+1=23 \text{, then, } |Perm(B)|=23!\\\\|F|=26-4+1=23 \text{, then, } |Perm(F)|=23!\\\\|R|=26-3+1=24 \text{, then, } |Perm(R)|=24!\\\\|FR|=26-7+2=21 \text{, then, } |Perm(FR)|=21!\\

where |Perm(X)|=\text{number of possible permutations of the elements of X taking all at once}

and

|Perm(F) \cup Perm(R)| = |Perm(F)| + |Perm(R)| - |Perm(FR)|\\= 23!+24!- 21! \text{ possibilities}

What we are looking for is the number of permutations of the 26 letters of the alphabet that do  not contain the strings fish, rat or bird, or

|Perm(\mathcal{E})|-|Perm(B)|-|Perm(F)\cup Perm(R)|\\= 26!-23!-(23!+24!- 21!)\\= 402619359782336797900800000 \text{ possibilities}

This link contains another solved problem on permutations:

brainly.com/question/7951365

6 0
2 years ago
State the domain plssssa
Elza [17]

Answer:

I think it's {3, 6, 12, 18}

Step-by-step explanation:

Domain: all x-values that are to be used (independent values).

7 0
3 years ago
Lian has $1.00. She has only nickels and dimes. Lian has twice as many dimes as nickels. How many dimes does she have?
Anna11 [10]

Answer: 8

Step-by-step explanation:

Given

Lian has \$1.00 and she has twice as many dimes as nickels

Suppose she has x nickels

So, the number of dimes is 2x

Nickel is equivalent to 5 cents and dime is equivalent to 10 cent

\therefore \ x(0.05)+2x(0.1)=1\\\Rightarrow 0.05x+0.2x=1\\\Rightarrow 0.25x=1\\\Rightarrow x=4

Therefore she has 8 dimes with her.

5 0
2 years ago
Plugin y=-5 into either equation and solve for x<br> -6x-8y=-20 or x+y=5
nalin [4]

Answer:

x = 10

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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