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Bezzdna [24]
3 years ago
5

Suppose your SAT score is 1180. You look up the average SAT scores for

Mathematics
1 answer:
love history [14]3 years ago
5 0

Do you have the options for this?

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The statement today the dollar is worth 45 cents describe
Aneli [31]
This statement is false. The dollar is worth 100 cents.

Hope this helps :)
4 0
3 years ago
Graph y = 3(x + 2)3 - 3 and describe the end behavior.
-BARSIC- [3]
1) The function is 3(x + 2)³ - 3

2) The end behaviour is the limits when x approaches +/- infinity.

3) Since the polynomial is of odd degree you can predict that the ends head off in opposite direction. The limits confirm that.

4) The limit when x approaches negative infinity is negative infinity, then the left end of the function heads off downward (toward - ∞).

5) The limit when x approaches positive infinity is positivie infinity, then the right end of the function heads off upward (toward + ∞).

6) To graph the function it is important to determine:
- x-intercepts
- y-intercepts
- critical points: local maxima, local minima, and inflection points.


7) x-intercepts ⇒ y = 0

⇒ <span>3(x + 2)³ - 3 = 0 ⇒ (x + 2)³ - 1 = 0
</span>

<span>⇒ (x + 2)³ = -1 ⇒ x + 2 =  1 ⇒ x = - 1
</span>

8) y-intercepts ⇒ x = 0

y = <span>3(x + 2)³ - 3 = 3(0 + 2)³ - 3 = 0 - 3×8 - 3 = 24 - 3 = 21
</span><span>
</span><span>
</span><span>9) Critical points ⇒ first derivative = 0
</span><span>
</span><span>
</span><span>i) dy / dx = 9(x + 2)² = 0
</span><span>
</span><span>
</span><span>⇒ x + 2 = 0 ⇒ x = - 2
</span><span>
</span><span>
</span><span>ii) second derivative: to determine where x = - 2  is a local maximum, a local  minimum, or an inflection point.
</span><span>
</span><span>
</span><span>y'' = 18 (x + 2); x = - 2 ⇒ y'' = 0 ⇒ inflection point.
</span><span>
</span><span>
</span><span>Then the function does not have local minimum nor maximum, but an inflection point at x =  -2.
</span><span>
</span><span>
</span><span>Using all that information you can graph the function, and I attache the figure with the graph.
</span>


3 0
3 years ago
A rectangular yard is 20 feet by 15 feet. The yard Is covered with grass except for an 8.5 feet. Square flower garden. How much
stich3 [128]

Answer: 227.75\ ft^2

Step-by-step explanation:

<h3> The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />

The area of a rectangle can be calculated with the following formula:

A=lw

Where "l" is the lenght of the rectangle and "w" is the width.

Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:

l=20\ ft\\\\w=15\ ft

Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:

A_y=(20\ ft)(15\ ft)=\\\\A_y=300\ ft^2

The area of the flower garden which is an square, can be calculated with this formula:

A=s^2

Where "s" is the side length.

 In this case you know that:

s=8.5\ ft

Then the area of the flower garden is:

A_g=(8.5\ ft)^2\\\\A_g=72.25\ ft^2

<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.

This is:

A_g=300\ ft^2-72.25\ ft^2\\\\A_g=227.75\ ft^2

4 0
3 years ago
Caroline is going to bake a cake. It takes her 5 minutes to gather the ingredients, 15 minutes to mix the ingredients and 25 min
Dimas [21]

Answer:

8:50 A.M

Step-by-step explanation:

You have to add all the numbers.

Example:

5+15+25=45

45 Minutes + 5 Minutes= 50 Minutes=

8:50 A.M

5 0
3 years ago
Read 2 more answers
How many ways can you order a sandwich if you can order it with or
balandron [24]

Answer:

32 orders

Step-by-step explanation:

# of orders = 2^5=32 different orders

8 0
2 years ago
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