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3 years ago

On this map of Indiana, 1 cm = 50 km. Find the actual length of each trip.

Mathematics

1 answer:

dusya [7]3 years ago

3 0

1cm / 50 km = 3cm / x km => x = 3 cm * [50 km / 1 cm] = 150km

Answer: 150 km

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Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 a

Ahat [919]

Answer:

f(x) = (3x³ + 9x² - 27x + 15)/32

Step-by-step explanation:

f'(x) = 3ax² + 2bx + c

Maximum or minimum: f'(x) = 0

Maximum: f'(-3) = 0 and f(-3) = 3

Minimum: f'(1) = 0 and f(1) = 0

f'(-3) = 0 leads 27a - 6b + c = 0 (1)

f'(1) = 0 leads 3a + 2b + c = 0 (2)

f(-3) = 3 leads -27a + 9b -3c + d = 3 (3)

f(1) = 0 leads a + b + c + d = 0 (4)

(1) - (2): 24a - 8b = 0, or 3a - b = 0, b = 3a

(3) - (4) -28a + 8b - 4c = 3 (5)

(1) * 4 + (5): 80a - 16b = 3,

use b = 3a, get 80a - 16*3a = 3, 32a = 3, a = 3/32, b = 3a = 9/32

From (2): c = -3a - 2b = -9/32 - 18/32 = -27/32

From (4): d = -a - b - c = -3/32 - 9/32 + 27/32 = 15/32

f(x) = (3x³ + 9x² - 27x + 15)/32

3 0

2 years ago

Which relation is a function?

Luden [163]

A relation is <em>not</em> a function if it has repeated "x" values.

A. (3, _) repeats

B. is a function

C. (5, _) repeats

D. (-4, _) repeats

8 0

3 years ago

In hopes of encouraging healthier snacks at school, Zack brought in a tray of carrot sticks and apple slices to share. The tray

Alex787 [66]

Answer:

48% were carrot sticks.

52% were apple slices.

Step-by-step explanation:

Given that:

Total number of snacks in the tray = 25

Number of carrot sticks = 12

Number of apple slices = 25 - 12 = 13

Percent of carrot sticks = $\frac{Number\ of\ carrot\ sticks}{Total\ Number}*100$

Percent of carrot sticks= $\frac{12}{25}*100$

Percent of carrot sticks = 0.48 * 100 = 48%

Percent of apple slices = $\frac{13}{25}*100$

Percent of apple slices = 52%

Hence,

48% were carrot sticks.

52% were apple slices.

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3 years ago

If you have a test average of 92 and a standard deviation of 1.8, you generally do well on tests.

MrRa [10]

Is that it is think it is 118

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3 years ago

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Please help #22 please sos

iragen [17]

1/5( 5/2 x 4/7 -11/7) + 3/28

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Then multiply 1/5 with 10/7. The result will be 2/7.

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3 years ago

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