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Svetach [21]
3 years ago
7

What is the vertex of the graph of the function f(x)=x^2+8x-2

Mathematics
2 answers:
Contact [7]3 years ago
7 0

-8,-2

Step-by-step explanation:

Sveta_85 [38]3 years ago
5 0

Answer:

(-8,-2)

Step-by-step explanation:

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After every eighth visit to a restaurant you receive a free beverage. After every tenth visit you receive a free appetizer. If y
Kaylis [27]

Answer:

40th and 80th visit

the first visit where you receive both is the 40th

Step-by-step explanation:

personally, I believe that the simplest way to solve this is use an excel spreadsheet to see which visits would include both a free beverage and a free appetizer:

  • both rewards would happen only twice, at the 40th and 80th visit.

you can also calculate it mathematically since multiples of 8 and 10 do not repeat themselves very much, only when 8 is multiplied by 5 and 10.

4 0
3 years ago
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What is the solution to the inequality
Dvinal [7]

Answer:

p > 5 and p <-8

Step-by-step explanation:

To solve this, you first need to isolate p.

First add 6 on both sides of the equation:

-6 + |2p+3| >7\\\\(+6) -6 + |2p+3| >7 +6\\\\2p + 3 > 13

Then subtract 3 from both sides of the equation.

2p+3-3>13-3\\\\2p > 10\\

The divide both sides by 2.

\dfrac{2p}{2}>\dfrac{10}{2}\\\\p>5

Another solution is possible because of the absolute value.

If |2p+3|>13

Then |2p+3|

<em>Thus we can solve the second solution:</em>

|2p+3|

2p+3

Isolate P again by subtracting both sides by 3

2p+3-3

2p

Then divide both sides by 2:

\dfrac{2p}{2}

p

3 0
3 years ago
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The area of a triangular block is 81 square inches. If the base of the triangle is twice the height, how long are the base and t
Gre4nikov [31]

Answer:

18 inches and 9 inches

Step-by-step explanation:

Given, The base of a triangle is twice of the height.

Area = 81 sq inches

Let, Base (b) = 2x

Height (h) = x

Area of the triangle = \frac{1}{2}bh

\frac{1}{2}bh = 81

or, x^{2} = 8

Base = 2×9 inches = 18 inches

Height = 9 inches

5 0
2 years ago
Where do the graphs of the two functions below intersect?
olga nikolaevna [1]
4x-3=9x-13
10=5x
2=x
So these functions intersect when x=2.
7 0
3 years ago
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An experiment was conducted, and it was determined that plants that received more than two hours of sunlight per day grew larger
natka813 [3]

Answer:

A) Based on the data, this is an example of correlation and causation.

Step-by-step explanation:

The correlating item is the sunlight

The causation is the growth vs. non growth:  The sunlight caused growth.  The lack of sunlight caused the plants not to grow as fast.

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3 years ago
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