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Verdich [7]
3 years ago
10

X+3-5x+7+4y simplify

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0
Combine like terms ,

-4x+4y+10
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A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time can be represented by the quadr
SCORPION-xisa [38]

Answer:

The baseball reached 9 feet high above the ground

Step-by-step explanation:

The given quadratic function representing the position of the baseball above ground is p(t) = 1/2·g·t² + v₀·t + p₀

Where;

t ≥ 0

g = -32 ft./sec²

v₀ = The initial velocity

p₀ = The initial position

Given that when the ball is thrown, we have;

The initial, straight up, velocity, v₀ = 16 ft./sec

The initial position, p₀ = 5 ft.

Substituting the above values in the quadratic function representing the position of the baseball above ground, we have;

p(t) = 1/2·(-32)·t² + 16·t + 5 = 16·t - 16·t² + 5

At the maximum point, the rate of change of the height with time = 0, therefore;

dp(t)/dt = 0 = d(16·t - 16·t² + 5)/dt = 16 - 32·t

16 - 32·t = 0

16 = 32·t

t = 16/32 = 0.5 seconds

Therefore, the time takes to reach the maximum height = 0.5 seconds

The height (maximum) reached in 0.5 seconds is given as follows;

h(t) = 16·t - 16·t² + 5, from which we have;

h(0.5) = 16 × 0.5 - 16 × (0.5)² + 5 = 9

Therefore, the height baseball reached = 9 ft. above ground

7 0
2 years ago
A recipe for tropical punch calls for 222 cups of pineapple juice and 333 cups of orange juice. Jo creates a drink by mixing 333
Irina18 [472]

Answer:

Theres more orange juice than pineapple juice.

Step-by-step explanation:

4 0
3 years ago
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The wild tiger population decreased by 97% over 20 years. There is 3200 tigers left. To the nearest thousand, how many tigers we
siniylev [52]

Answer: 64,000

Step-by-step explanation:

3500 is the 5% left, so 1% is 640640 times 100% = 64,000 which is already to the nearest thousand

7 0
3 years ago
Can someone help me find the way to get this answer??
OLga [1]

The figure can be splitted into 2 trapeziums.

Hence, 14.5 * 16 + 20 * 10 = 432.

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3 years ago
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Consider the line 6x + 5y = -4. What is the slope of a line perpendicular to this line. What is the slope of a line parallel to
strojnjashka [21]
Perpendicular: -1/6
parallel: 6
8 0
3 years ago
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