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2 years ago

Solve the problem. six times Tim’s age is 54. His sisters age times three is also 54. How old are Tim an his sister Amy?

Mathematics

1 answer:

Semenov [28]2 years ago

6 0

If $t$ is Tim's age, then $6t=54$ , so $t=9$ .

If $a$ is Amy's age, then $6a=54$ , so her age is also $a=9$ .

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Barb is making a bead necklace. She strings 1 white bead,then 3 blue beads,then 1 white bead,and so on. Write the numbers for th

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The numbers for the first eight beads that are white are; 1, 5, 9, 13, 17, 21, 25, 29

<h3>Arithmetic Sequence</h3>

We are told that she strings in this order;

1 white
3 blue
1 white bead

Now, after the first white bead, the next white bead is the 5th bead in total.

This means the difference in interval between white beads is; 5 - 1 = 4 beads

Thus, the numbers for the first eight beads that are white are;

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hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same

Sati [7]

Answer:

$p(x)$ and $q(x)$ have the same domain and the same range.

Step-by-step explanation:

$p(x) = 6-x$ and

$q(x) = 6x$

First of all, let us have a look at the definition of domain and range.

Domain of a function $y =f(x)$ is the set of input value i.e. the value of $x$ for which the function $f(x)$ is defined.

Range of a function $y =f(x)$ is the set of output value i.e. the value of $y$ or $f(x)$ for the values of $x$ in the domain.

Now, let us consider the given functions one by one:

$p(x) = 6-x$

Let us sketch the graph of given function.

Please find attached graph.

There are no values of $x$ for which p(x) is not defined so domain is All real numbers.

So, domain is $(-\infty, \infty)$ or $x\in R$

Its range is also All Real Numbers

So, Range is $(-\infty, \infty)$ or $x\in R$

$q(x) = 6x$

Let us sketch the graph of given function.

Please find attached graph.

There are no values of $x$ for which $q(x)$ is not defined so domain is All real numbers.

So, domain is $(-\infty, \infty)$ or $x\in R$

Its range is also All Real Numbers

So, Range is $(-\infty, \infty)$ or $x\in R$

Hence, the correct answer is:

$p(x)$ and $q(x)$ have the same domain and the same range.

4 0

3 years ago

How do solve this problem

Tanzania [10]

Multiply the first equation by 3
21x+15y=-6

Add this to the second equation
21x+15y=-6
-21x-15y=6
0+0=0

True

Final answer: Infinitely Many Solutions (they are coinciding lines)

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