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Vlada [557]
3 years ago
5

Given the function f)(x) =-x^2+3x+8,determine the average rate of change of the function over the interval listed in the picture

. ​

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0

Answer:

Vertex:

(

3

2

,

−

41

4

)

(

3

2

,

-

41

4

)

Focus:

(

3

2

,

−

10

)

(

3

2

,

-

10

)

Axis of Symmetry:

x

=

3

2

x

=

3

2

Directrix:

y

=

−

21

2

y

=

-

21

2

x

y

0

−

8

1

−

10

3

2

−

41

4

3

−

8

4

−

4

Vertex:

(

3

2

,

−

41

4

)

(

3

2

,

-

41

4

)

Focus:

(

3

2

,

−

10

)

(

3

2

,

-

10

)

Axis of Symmetry:

x

=

3

2

x

=

3

2

Directrix:

y

=

−

21

2

y

=

-

21

2

x

y

0

−

8

1

−

10

3

2

−

41

4

3

−

8

4

−

4

Step-by-step explanation:

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Misha's test score decreased from 80% to 60%. What was the approximate percent decrease of Misha's test score?
Elina [12.6K]
**IF YOU WANT TO KNOW WHAT THE DIFFERENCE IS BETWEEN 80% AND 60%
80% - 60 % is the same as 80 - 60.

80 - 60 = 20

So 20% is the answer.
6 0
4 years ago
Read 2 more answers
Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a
ipn [44]

The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let x be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 12.50x. From this information we can gather that the cost function for this factory is,

C(x)=53\,900+12.50x.

On the other hand, if we let x be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

R(x)=16.50x.

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

R(x)=C(x)\\\implies 16.50x=12.50x+53\,900\\\implies 16.50x-12.50x=53\,900\\\implies 4x=53\,900\\\implies x=\frac{53\,900}{4} \\\implies x=134\,750.

The company has to sell 134 750 units to break even.

6 0
4 years ago
Help me I will award the person that’s correct
Dimas [21]
46 meters in total i think
6 0
3 years ago
I need to know how to do this.
dolphi86 [110]
All of them use Tons, pounds or ounces so you need the conversion factors which are these.

1 Ton = 2,000 lbs
1 lb = 16 oz

2.) 6T = 12,000 lbs (6 x 2,000)
3.) 18 lbs = 288 oz (16 x 18)
4.) 3,200 oz = 200 lbs (3,200/16)
5.) 12 T = 24,000 lbs(12x2,000)
6.) 9 lbs = 144 oz (16x9)
7.) 7 lbs = 112 oz(16x7)
8.) 100 lbs = 1,600 oz (16x100)
9.) 60,000 lbs = 30 T (60,000/2,000)
10.) 40 oz < 4 lbs (4x16)
11.) 80 oz = 5 lbs (5x16)
12.) 5,000 lbs < 5 T (5x2,000)
13.) 18,000 lbs = 9 T (9x2,000)
14.) 25 lbs > 350 oz (250x16)
15.) 27 oz < 2 lbs (16x2)
16.) 3 T = 6,000 lbs (3x2,000)
17.) First you need to know how many ounces 22 pounds is, so you multiply 16 by 22 to get 352 oz. Then subtract by 112 oz, she can add 240 more oz or 15 more lbs.
6 0
3 years ago
A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at
ozzi

Answer:

14

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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