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Masja [62]
3 years ago
12

Find the particular solution of the differential equation that satisfies the initial condition. f '(x) = −8x, f(1) = −3

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

Step-by-step explanation:

f(x) = integral (-8x) dx = -4x^2 + C

f(1) = -3 = -4 + C

C = 1

f(x) = -4x^2 + 1

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3 years ago
Subtract: 8 3/8 - 3 1/4<br><br> Answers: <br> A: 5 1/8<br> B: 5 5/8<br> C: 5 1/4<br> D: 5 1/2
Flura [38]
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6 0
3 years ago
Determine the equation of a parabola that intersects the x-axis at points (-2, 0) and (5, 0).
SOVA2 [1]

Answer:

B. y = x² - 3x - 10

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
In a group of 50 students, 29 celebrate Hanukkah, and 36 celebrate Christmas. If every one of the students in the group celebrat
Trava [24]

Answer:

15 students celebrate both holidays

Step-by-step explanation:

Let the number of students that celebrate both be x

By set notation, we add up individual sides as follows to give the number of values on the universal set

Mathematically, that will be;

50 = (29-x) + (36-x) + x

50 = 29-x + 36-x + x

50 = 65-x

x = 65-50

x = 15

3 0
3 years ago
Write an equation of a line in standard form with a x intercept of -5 and a y intercept of 15.
velikii [3]
If this is a slope question then:

We know that the formula for slope is:

y = mx + b ( M being slope, X being the x- intercept and y being the y-intercept)


So if the question asks to write an equation of the line with a x-intercept of -5 and a y- intercept of 15.

So now you substitute -5 for the x-intercept, and 15 for the y-intercept:

So now it's

y = 15m + -5

The m stays since there's no value for m.

So the final answer is: y = 15m + -5


3 0
3 years ago
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