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2 years ago

Which of these is the algebraic expression for the verbal expression "five times the difference of a number and six?"

Mathematics

2 answers:

Levart [38]2 years ago

6 0

The answer would be 5(x-6). If helpful please give brainliest answer.

frosja888 [35]2 years ago

5 0

Let's consider each of the option

5(x-6)

5 times the difference of a number x and 6

This could be written in another way

5(6-x)

Just that one would be a positive difference and the other would be a negative difference..

The last option would have been correct but if we're to consider pedmas.. The last option is suggesting "the difference of 5 times a number and 6" which is not what the question dictates...

The penultimate option is suggesting "6 times the difference between a number and 5"

And the second option is completely astray........

Hope this helped......

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Find the range of the following piecewise function.

mash [69]

Answer:

$\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}$

Step-by-step explanation:

The following piecewise functions are linear functions. The graph of any of them is a line segment.

We just need to calculate the value of the function at each end specified in the brace.

$y=3x-2\ \text{if}\ -1\leq x$

Substitute x =-1 and x = 0:

$x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2$

Range of this piece is [-5; -2)

$y=2x+3\ \text{if}\ 0\leq x$

Substitute x =0and x = 5:

$x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13$

Range of this piece is [3; 13)

Therefore the range of the following piecewise function is:

$[-5;\ -2)\ \cup\ [3;\ 13)$

Look at the picture.

6 0

2 years ago

There are 9 people that have a conversation with each other exactly one time.

Sedbober [7]

The question is an illustration of arithmetic sequence.

The number of conversation for 19 people is 171

(a) 9 people

$Total = \frac{9 \times 8}{2}$

9 represents the number of people

8 represents the number of conversation each person had

2 represents the number of people having a conversation at once (i.e 2 people at once)

(b) 19 people

We have:

$n = 19$

The number of conversation is:

$Total = \frac{n \times (n -1)}{2}$

So, we have:

$Total = \frac{19 \times (19 -1)}{2}$

$Total = \frac{19 \times 18}{2}$

$Total = 19 \times 9$

$Total = 171$

Hence, the number of conversation for 19 people is 171

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0

2 years ago

Given: F(x) = 3x^2+1, G(x) = 2x - 3, H(X) = x Find F(x) + G(x) =

weqwewe [10]

$F(x)+G(x)=3x^2+2x-2.$

Solution:

Given data: $F(x)=3x^2+1$ and $G(x)=2x-3$

To find F(x) + G(x):

Adding two functions which gives another function.

Substitute F(x) and G(x), we get

$F(x)+G(x)=(3x^2+1)+(2x-3)$

$=3x^2+1+2x-3$

$=3x^2+2x-3+1$

$=3x^2+2x-2$

$F(x)+G(x)=3x^2+2x-2$

Hence, $F(x)+G(x)=3x^2+2x-2.$

4 0

2 years ago

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olga2289 [7]

Answer:can’t read it

Step-by-step explanation:

Can you take a pic closer to the screen?

7 0

3 years ago

Roy planted corn on 1/5of his land. If he planted45 acres of corn, how many acres of land doeshe have?(A) 90(B) 112 (1/2)(C) 135

melisa1 [442]

Correct option is C. He has 225 acres of land .

Let the Number of acres of land Roy have = x

As he planted corn on 1/5 of his land,

Number of acres of his land planted with corn = 1/5 × Number of acres of land Roy have

= x/5

As he planted 45 acres of his land with corn,

⇒ x/5

= 45

⇒x = 45 × 5

⇒x = 225

Therefore, number of acres of land Roy have is 225 .

To learn more about fraction from given link

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4 0

1 year ago