Can someone show me the graph and domain and range for this piece wise function?

Answers

Answer 1

Answer: so we look at the conditions if x<1 and if x≥1 x<1 means x is less than 1 x≥1 means x is greater than 1 including 1 that includes all real numbers so domain is all real numbers range is (sart with top and go up, if x=1 then f(1)=7 so from 7 to infinity, then other one, x<1, -inifinity to 4 not including 4 so the range with interval notation is (-∞,4) U [7,∞) graph is the graph of each, but pt together (see attachmetn)

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Sumalee won 40 super bouncy balls playing horseshoes at her schools game last night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?

Answers

Before jumping into doing this problem, it is important to look at all the information's that have been made available in the question. Based on those given conditions the answer to the problem can be easily deduced.
Let us assume the number of friends Sumalee has = x
Then
2x + 8 = 40
2x = 40 -8
2x = 32
x = 32/2
x = 16
So Sumalee has 16 friends. There are numerous ways to get to the answer that is required to be found. This is the easiest and the shortest method. Hope i helped you.

To find this we are first going to SUBTRACT to see how many balls she gave ALL her friends in total:-

40 - 8 = 32

Now we will divide to see how many friends she has.

32 ÷ 2 = 16

Check your work:-

16 × 2 = 32

So, she has 16 Friends.

Hope i helped ya!!!!!!!!!!!!!

2. How do the graphs of y = 1 and y= 3 - 4 compare?

Answers

Answeri dont know either and that is the same question i need help with

Step-by-step explanation:

Why must the value of the sine ratio for an acute angleof a right triangle must always be a positive value less
than 1.

Answers

Answer:

Because of the range of the sine function.

Step-by-step explanation:

The reason why the value of the sine ratio for an acute angle

of a right triangle must always be a positive value less

than 1 has to do with the the range of the sine function.

The range of the sine function is

$- 1 \leqslant y \leqslant 1$

But in the first quadrant all y-values are positive and acute angles are less than 90°.

Therefore the range will now be 0≤y<1 for acute angles.

Sample Response: The sine ratio is the length of the side opposite a given acute angle divided by the length of the hypotenuse. Because the hypotenuse is the side opposite the largest angle, the 90° angle, it has to be the longest side. Thus, the ratio will have a denominator that is larger than the numerator, and the ratio will be less than 1.

~Notify me if you have questions~

Have a nice day, and I hope this helps!

-- XxFTSxX

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.A table with 6 columns and 2 rows. The first column, Original System has 2 x minus 2 y equals 6 and 4 x plus 4 y equals 28. The second column, Equivalent System, has 4 x minus 4 y equals 12 and 4 x plus 4 y equals 28. The third column, Sum of equations in Equivalent System, has 8 x equals 40. The fourth column, Solution to System, is blank. The fifth column, New System Using Sum, has 4 x plus 4 y equals 28 and 8 x equals 40. The sixth column, Solution to New System is blank.

Which solution can be used to fill in both blanks in the table?

(2, 5)

(5, 2)
(5, −8)
(−8, 5)

Answers

Answer:

$(5,2)$

Step-by-step explanation:

$2x-2y=6\n4x+4y=28$

Column 1 :

$2x-2y=6..........(1)\n4x+4y=28........(2)$

Column 2 :

Eqn(1) $*\ 2$

$4x-4y=12\n4x+4y=28$

Column 3 :

Add the equations.

$(4x+4x)-4y+4y=12+28\n8x=40$

Fourth column :

$8x=40\nx=(40)/(8)=5$

Fift column :

$4x+4y=28\n8x=40$

Sixth column :

Substitute $x=5$ .

$4* 5+4y=28\n4y=28-20\n4y=8\ny=2$

Hence solution is $(5,2)$ .

Answer:

I'm terrible at explaining so here's a screenshot

- Ripper

Step-by-step explanation:

a cardboard box is open at one end and is shaped like a square prism missing one of its square bases. the volume of the prism is 810 cubic inches and its height is 10 inches. what is the length of each side of the base? how much cardboard is used for the box?

Answers

The correct answer for the question that is being presented above is this one: "9 inches; 441 in^2"

The volume of a square prism is
Volume = s^3 = lwh

Given that the volume is 810 in^3 and the height is 10 inches
810 = 10 * s^2
81 = s^2
s = 9 inches

So, the length of each side of the base is 9 inches
Then, the total area used in order to make a cardboard is that,
= 9^2 + 4 ( 10*9)
= 81 + 4(90)
= 81 + 360
= 441 square inches.

Is 0.111... a repeating decimal, terminating decimal, or neither?

Answers

It is a repeating decimal since .1111 goes on forever. =)

0.11 is a repeating decimal.
Terminating- To end

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