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KIM [24]
2 years ago
9

An object is thrown from a height of 5 in. After 2 s, the object reaches a maximum height of 9 in, and then it lands back on the

ground 5 s after it was thrown. Write the vertex form of the quadratic equation that models the object's path, and draw the graph.
Mathematics
1 answer:
Marta_Voda [28]2 years ago
7 0

Answer:

y=-(x-2)^2+9

Step-by-step explanation:

Hope this helps

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Jenna dances for 3 hours on sunday, 2 hours on Monday and Tuesday, 1 hour on THursday,1.5 hours oon friday, and 2 hours on Satur
Delicious77 [7]

Answer: The average number of hours she danced per day is 1.9 hours (rounded to the nearest tenth)

Step-by-step explanation: We start by calculating how many hours she danced all together which can be derived as follows;

Summation = 3 +2 +2 + 1 + 1.5 + 2 = 11.5

The number of days she danced which is the observed data is 6 days (she did  not dance at all on Wednesday).

The average (or mean) hours she danced each day can be calculated as

Average = ∑x ÷ x

Where ∑x is the summation of all data and x is number of observed data

Average = (3+2+2+1+1.5+2) ÷ 6

Average = 11.5 ÷ 6

Average = 1.9166

Approximately, average hours danced is 1.9 hours (to the nearest tenth)

8 0
2 years ago
Which is a solution to the equation? (x −2)(x + 5) = 18 x = −10 x = −7 x = −4 x = −2
Leona [35]

Answer:

Solutions:

x=-7

x=4

Step-by-step explanation:

(x-2)(x + 5) = 18

Expanding the factored form:

x^2+5x-2x-10=18

x^2+3x-28=0

Factoring the second-degree polynomial:

(x+7)(x-4)=0

This is true for

x=-7 \text{ or } x=4

4 0
2 years ago
Emma was about to finish grocery shopping when she noticed that cans of soup were on sale. Her total bill for groceries would be
Alinara [238K]

Answer:

3rd option: B(C)= 1.79C +86.03

Step-by-step explanation:

Total bill

= cost of cans(number of cans) +cost of other groceries

Let the cost of other groceries be G, and the cost of cans be X.

Given that number of cans= C,

Total bill= XC +G

If 2 cans were purchased,

2X+G= 89.61 -----(1)

If 5 cans were purchased,

5X +G= 94.98 -----(2)

(2) -(1):

(5X +G) -(2X +G)= 94.98 -89.61

5X +G -2x -G= 5.37

3X= 5.37

X= 5.37 ÷3 <em>(</em><em>÷</em><em>3</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

X= 1.79

Subst. X= 1.79 into (1):

2(1.79) +G= 89.61

3.58 +G= 89.61

G= 89.61 -3.58 <em>(</em><em>-3.58</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

G= 86.03 <em>(</em><em>simplify</em><em>)</em>

Total bill

= XC +G

= 1.79C +86.03

Thus, the function is B(C)= 1.79C +86.03.

3 0
2 years ago
Angela drove 82 miles on Monday. She drove 94 on Tuesday. To the nearest hundred, how many miles did Angela drive over the two d
inessss [21]
You just simply add
82+94= 166
4 0
2 years ago
Read 2 more answers
Jordan prepares 200 name tags to use at a meeting. The number for each color of the name tag is described below.
nadya68 [22]

Answer:

The answer would be A. 55.

Step-by-step explanation:

For the 35% you would take your 200 and divide it by 2 and have two 100's. Since 35% is out of 100% you could take 35 from each 100 and add them together to get 70.

For the 3/8 you would divide and get .375 then you would multiply that by 200 which would give you 75 yellow tags. Then you would add 75 and 70 and get 145. Then subtract 145 from 200 to get 55. Therefore there would be 55 red tags.

5 0
2 years ago
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