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NemiM [27]
3 years ago
11

The function f(x) = −x2 − 7x + 30 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in

feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?
x = 10; the diver hits the water 10 feet away horizontally from the board
x = 3; the diver hits the water 3 feet away horizontally from the board
x = 10; the diver jumps in the pool at 10 feet per second
x = 3; the diver jumps in the pool at 3 feet per second
Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
7 0
Setting f(x) = 0, we have:
-x2 -7x +30 =0

The roots of this quadratic equation are:
x = 3 and -10

Since the diver is on a diving board, the -10 is somewhere behind him. We use the root x = 3 since this distance is in front of the board.

Therefore, the answer is:
x = 3; the diver hits the water 3 feet away horizontally from the board
Andrej [43]3 years ago
7 0

Answer:

x = 3; the diver hits the water 3 feet away horizontally from the board

Step-by-step explanation:

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There is a circular fountain with a diameter of 16 feet. There is a walkway that is 3 feet wide that goes around it. What is the
Sergio039 [100]

Answer:

82.47

Step-by-step explanation:

area of fountain: 201.06(see photo 1)

area of fountain and walkway:283.53(see photo 2)

area of walkway:82.47(subtract fountain area from fountain and walkway)

7 0
3 years ago
In science class, a student is measuring the temperature of a solution in science experiment. The solution
Radda [10]

Answer:

-11.8

Step-by-step explanation:

<u>Given:</u>

-3.4 to 12.4        increased  (difference = 15.8)

12.4 to 20.4      decreased (difference = 8)

20.4 to 3.2        increased  (difference = 17.2)

<u>To find:</u>

Final temperature.

Solution:

As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?

Use the difference of the starting result to find the ending result.

3.2 - 15

= -11.8

Therefore, the final temperature is -11.8.

6 0
2 years ago
Number sentences for these 4?
Murrr4er [49]
A. 15-35=-20
b. -2+7=5
c. -10+14=4
d. 60-100=-40
6 0
3 years ago
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She has
Oxana [17]

Answer:

864

Step-by-step explanation:

Volume of cup = ⅓pi×r²×h

Diameter = 2, radius = 1

= ⅓×3.142 × 1² × 4 = 4.1893333333 in³

To empty the sink, 864 scoops will be required

(3617/4.1893333 = 863.383)

3 0
3 years ago
Answer it pls option c
Troyanec [42]

Answer:

x = \frac{1}{4}

Step-by-step explanation:

\frac{x}{2} +\frac{3}{4} =\frac{7}{8}

→ Find the LCM of the denominators (2,4 and 8)

LCM = 8

→ Multiply the whole equation by 8 to get rid of the fractions

4x + 6 = 7

→ Minus 6 from both sides to isolate 4x

4x = 1

→ Divide both sides by 4 to isolate x

x = \frac{1}{4}

5 0
3 years ago
Read 2 more answers
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