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ValentinkaMS [17]
3 years ago
8

during a hot summer week, the water level in Wei's pool decreased by 1.9 centimeters. Wei added water to the pool, increasing th

e level by 3.5 centimeters. During the next week, the water level increased by 2.4 centimeters. How does the new water level compare to the original water level? Show your work.
Mathematics
1 answer:
BARSIC [14]3 years ago
7 0
In total, the water level in Wei's pool increased by four centimeters. first, you would take negative one and nine-tenths, then you would add the three and one-half increase. This would give you one and six-tenths. You would then also add the two and four-tenths increase, leaving you with four.
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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

So

f(x) = (3x³ + 9x² - 27x + 15)/32

3 0
2 years ago
I don’t understand this
mylen [45]
To solve for an unknown number, you have to keep isolating it till it is all alone:
A=P(1+rt)
(1+rt)=A/P
rt=A/P -1
r=(A/P-1)/t
7 0
3 years ago
Nancy put new insulation in her attic and discovered that her heating bill for December decreased from $160 to $100. What is the
WINSTONCH [101]

Answer:

37.5% decrease

Step-by-step explanation:

To find a relative percentage you generally follow the rule of part divided by whole.

$100 / $160 = .625 (62.5%)

So $100 is 62.5% of $160

To find the decrease we need to subtract 62.5% from 100%

100 - 62.5 = 37.5

4 0
2 years ago
I just need to know how to do this. pls help me
Vlada [557]
Vertically opposite angles are equal
With this information we can form an equation

2x+14=60
Subtract 14 from both sides
2x=46
Divide both sides by 2
X=23

x = 23 degrees
5 0
4 years ago
Read 2 more answers
The value of (2+3)(2-3) is​
NARA [144]

Step-by-step explanation:

(2+3)(2-3)

=5×(-1)

= -5

good morning

have a great day

7 0
3 years ago
Read 2 more answers
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