MATHEMATICS HIGH SCHOOL

What is the domain of the function shown in the graph 1) all real numbers
2)all real numbers less than 0
3)all real number greater than 0
4)all real numbers including 2 and 6
what is the domain of the function shown in the - 1

Answers

Answer 1
Answer:

Answer:

The answer to your question is number 1) all real numbers.

Step-by-step explanation:

The Domain is all the set of numbers the x-axis could have.

In the graph, we notice a line that goes from zero to six, we could think that the domain is that interval but as the line has arrows, we can think that the line grows up in both senses, then the domain must be all real numbers.

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A wildflower bouquet costs $4.25 at the farmer's market. A vase can be purchased for an additional $3.50. Kelly has $20 to buy a bouquet for her mother with a vase. She'd also like to buy just a bouquet for herself and another for her best friend.If x represents the number of bouquets Kelly can buy, which inequality will tell Kelly if she has enough money to make her purchase?A) $4.25x + $3.50 ≤ $20 B) $4.25x - $3.50 ≤ $20 C) $4.25x + $3.50 ≥ $20 EliminateD) $3.50x + $4.25 ≤ $20;
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: Sergio wants to fence in a circular portion of his backyard for a play space for his dog. Determine the area of the largest portion of the yard he can enclose with 72 feet of fencing. Use 3.14 for π.

Answers

For this case we have to:

If Sergio has 72 feet of fence then we have that the circumference of the fence (whose space is circular) is 72.

By definition, the circumference of a circle is given by:

C = \pi * d

Where:

d: It is the diameter of the circumference

So:

72 = \pi * d\nd = \frac {72} {\pi}\nd = \frac {72} {3.14}\nd = 22.93 \ ft

Then, the radius will be given by: r = 11.45 \ ft

Thus, the area of the circular portion will be:

A = \pi * r ^ 2\nA = 3.14 * (11.45) ^ 2\nA = 3.14 * 131.1025\nA = 411.66 \ ft ^ 2

Thus, the area of the playing space is:A = 411.66 \ ft ^ 2

Answer:

A = 411.66 \ ft ^ 2

Can someone help ???​

Answers

Answer: 450

Step-by-step explanation:

971 = B + (T+71)

971-71 = 2 B

450 = B

X+9/x^3-9x^2+15x+25
how do I solve this

Answers

(x + 9)/(x^(3) - 9x^(2) + 15x + 25)
(x + 9)/(x^(3) - 10x^(2) + x^(2) + 25x - 10x + 25)
(x + 9)/(x^(3) - 10x^(2) + 25x + x^(2) - 10x + 25)
(x + 9)/(x(x^(2)) - x(10x) + x(25) + 1(x^(2)) - 1(10x) + 1(25))
(x + 9)/(x(x^(2) - 10x + 25) + 1(x^(2) - 10x + 25))
(x + 9)/((x + 1)(x^(2) - 10x + 25))
(x + 9)/((x + 1)(x^(2) - 5x - 5x + 25))
(x + 9)/((x + 1)(x(x) - x(5) - 5(x) + 5(5))
(x + 9)/((x + 1)(x(x - 5) - 5(x -5)))
(x + 9)/((x + 1)(x - 5)(x - 5))
(x + 9)/((x + 1)(x - 5)^(2))

Which of the following points does not lie on the graph of y = log3x?(0, 1)
(27, 3)
(1, 0)

Answers

Answer:

(0,1) doesn't lie on the graph.

Step-by-step explanation:

We have been given the logarithmic equation y=\log_3(x)

We can check which point lie on the graph of the given function by substituting x coordinates in the equation and find the corresponding y coordinate.

For x = 0

y=\log_3(0)\n\ny=\log_30

The value of log 0, is undefined, Hence, we'll not get a real value for this x value.

Hence, (0,1) doesn't lie on the graph.

For x = 27

y=\log_3(27)\n\ny=\log_33^3\n\ny=3\log_33\n\ny=3

Hence, (27,3) lie on the graph.

For x = 1

y=\log_3(1)\n\ny=0

Hence, (1,0) lie on the graph.

Therefore, (0,1) doesn't lie on the graph.
(27, 3)
(1, 0)

Working;
Substituting the value of x;
x=27
y=log81
=1.9084
x=1
y=log 3
y=0.4771

Evaluate the expression for w=1.1 Write your answer in simplest form. (-w+7)/(-9w+4)

Answers

Answer:

8.1/2.2

Step-by-step explanation:

(1.1 +7)/(-9*1.1+4)

8.1/2.2

= -8.1/2.2

A 12 ounce bottle of shampoo last enrique 16 weeks.how lonh would you expect an 18 ounce bottle of the same brand to last him?

Answers

For Enrique a 12 ounce bottle lasts for 16 weeks. This is a known fact. We need to find the amount of days or weeks an 18 ounce bottle of the same brand of shampoo last.
Now
12 ounce bottle lasts = 16 weeks
                                   = (16 * 7) days
                                   = 112 days
18 ounce bottle lasts = (112/12) * 18
                                  = 168 days
                                 = 168/7 weeks
                                 = 24 weeks
So 18 ounce of the same brand of shampoo will last for 24 weeks.
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