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2 years ago

Use graphing technology to find the range of the function f(x)=x2 +6x+9

Mathematics

1 answer:

lbvjy [14]2 years ago

5 0

Answer:

See below.

Step-by-step explanation:

Refer to the graph.

The range of a graph is the span of y-values it covers.

From the graph, we can see that the span of y-values is all values greater than or equal to 0.

Therefore, our range is, in interval notation:

$[0,\infty)$

Note that we use brackets with the 0 because 0 is included in our range.

In set notation, this is:

$\{y|y\in\mathbb{R},y\geq 0\}$

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Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T

pashok25 [27]

<h3>Hello there i hope you are having good day :) Question : Solve the problem by writing an inequality. = A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100. Show your work? = So firstly the each of the shirt cost $12 and the money made for the shirt equals 12$ so the cost per the shirt would be 20 + 8x that lead to needing at least 100$ amount made - cost = profit would equal to 12x - (20-8x) ≥ 100 then you would do 12x-20-8x = 100 then you would also do 4x-20 = 100 then you add 20 and add 20 again that would equal 4x/4x = 120/4 that would finally lead you to the answer that would be x = 30 ---> x ≥ 30</h3><h3>Hopefully this help you.</h3>

4 0

2 years ago

The members of a club decide to sell hats to raise money. They originally

finlep [7]

Answer:

A. 41 (12 - 2)

Step-by-step explanation:

If the club decided to charge $12 for a hat, but reduced the price by $2, the reduced price of the hat is (12 - 2). The amount of money earned is based upon the price of the hat multiplied by the number of hats sold. Therefore, the answer is 41 (12 - 2).

Hope this helped :)

7 0

1 year ago

EFGH is a parallelogram. Find the measure of EG.

gayaneshka [121]

Answer: 64

Step-by-step explanation:

If EFGH is a parallelogram, its diagonals bisect each other meaning EJ and JG are congruent.

EJ = JG

4w + 4 = 2w + 18

Subtract 2w from both sides

2w + 4 = 18

Subtract 4 from both sides

2w = 14

Divide both sides by 2

w = 7

EG = EJ + JG

EG = 4w + 4 + 2w + 18

EG = 6w + 22

Now that we know what 'w' is, we can substitute it for 7

EG = 6 (7) + 22

EG = 42 + 22 = 64

The measure of EG is 64.

Hope that helped!

7 0

2 years ago

Tami has a new pet crate for her dog. The length of the crate is four feet. The rectangular floor area of the crate is 1023 squa

Anit [1.1K]

Answer:

255.75 feet or 255 $\frac{3}{4}$ feet

Step-by-step explanation:

area of a rectangle / length = breadth

1023 / 4 = 255.75 or 255 $\frac{3}{4}$ feet

6 0

2 years ago

2(x-3)^2+10=82 solve by isolating x

Leviafan [203]

We have the following equation:
2 (x-3) ^ 2 + 10 = 82
We must clear x.
We pass the constant terms to one side of the equation:
2 (x-3) ^ 2 = 82 - 10
2 (x-3) ^ 2 = 72
(x-3) ^ 2 = 72/2
(x-3) ^ 2 = 36
Square root to both members:
x-3 = +/- root (36)
x-3 = +/- 6
The solutions are:
x1 = 6 + 3 = 9
x2 = -6 + 3 = -3
Answer:
x1 = 9
x2 = -3

7 0

2 years ago