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MrRa [10]
3 years ago
9

Given y=x^3-2x^2-15; find the relative minimum.

Mathematics
1 answer:
frutty [35]3 years ago
7 0

Answer:

The min is at x=4/3

Step-by-step explanation:

Take the first derivitave. Set that equation equal to zero. Then take the second derivative. Take the x values and put them into the second derivative. If the value is +, that means a rel min. If it is -, that means rel max.

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Expanding log functions<br> ㏒3 (3(x+1)(x+2))
Oksanka [162]
Log(ab)=log(a)+log(b)
log_a(a)=1
so

log_3(3(x+1)(x+2))=log_3(3)+log_3(x+1)+log(x+2)=1+log_3(x+1)+log_3(x+2)
6 0
3 years ago
A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the
Brums [2.3K]

Answer: 2.11cm

Step-by-step explanation:

Given the following :

The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm

The area of trapezoid is calculated using the formula:

1/2(a + b) × h

Where ;

a = Length of side 1

b = length of side 2

h = height

Take a = (2z + 3) and b = (6z – 1), h = z

Therefore ;

1/2 (2z + 3 + 6z - 1) × z

Opening the bracket

(z + 1.5 + 3z - 0.5) × z

(4z + 1 ) × z = 20cm^2

4z^2 + z = 20cm^2

Using Quadratic formula:

4z^2 + z - 20 = 0

a = 4, b = 1, c = - 20

(-b±√b^2 -4ac) / 2a

Z = 2.11 or - 2.364

z cannot be negative, therefore,

Z = 2.11 cm

6 0
3 years ago
d) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points)
SIZIF [17.4K]

Answer:

a = -0.32

b = 16

c = - 168

Step-by-step explanation:

In the figure attached, the quadratic function is shown. We can model it as follows:

y = a*(x - x1)*(x - x2)

where (x1, 0) and (x2, 0) are its roots

From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:

y = a*(x - 15)*(x - 35)

and the vertex is at (25,32), replacing into the equation:

32 = a*(25 - 15)*(25 - 35)

32 = a*(-100)

a = 32/(-100)

a = -0.32

Applying distributive property:

y = -0.32*(x - 15)*(x - 35)

y = -0.32*(x² - 35x - 15x + 525)

y = -0.32x² + 16x - 168

which corresponds to the general form:

y = ax² + bx + c

3 0
3 years ago
Read 2 more answers
Can the sides of a triangle have lengths 1, 3, and 10?
Troyanec [42]

Answer:

yes the sides of a triangle can have all those sides

3 0
3 years ago
Factor y2 + 8y + 15
vovangra [49]
Y² + 8y + 15
since 8 and fifteen are positive, that means your factors are going to be positive
(y + )(y + )
What are the factors of 15 that add up to 8?
8 0
3 years ago
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