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inn [45]
3 years ago
7

What expression is equal to log3(9x)

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

y=log3(9x)

3^y = 9x

Step-by-step explanation:

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PLEASE HELP ASAP Due in 1 day!!!
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Step-by-step explanation:

Q1 . (f+g)(x) = f(x) + g(x)

=4x-4 +2x^2 -3x

= 2x^2 + x -4

Q2. (f-g)(x) = f(x) - g(x)

= 2x^2−2 - (4x+1)

= 2x^2 -2 -4x -1

= 2x^2 - 4x -3

Q3. h(x)=3x−3 and g(x)=x^2+3

(h.g)(x) = h(x) × g(x)

= (3x-3) × (x^2 + 3)

=3x^3 -3x^2 + 9x -9

Q4.f(x)=x+4 and g(x)=x+6

(f/g)(x) = f(x) ÷ g(x)

= x+4 / x+6

the domain restriction is x>-6

x<-6

x doesn't equal (-6)

7 0
2 years ago
The Patterson family has 3 kids, 1 boy and 2 girls. Suppose that for each birth, the probability of a boy birth is 1/2, and the
elena-14-01-66 [18.8K]

Answer:

Probability = \frac{1}{8}

Step-by-step explanation:

Given

Represent Boys with B and Girls with G

P(B) = \frac{1}{2}

P(G) = \frac{1}{2}

Required

Find the probability or having 1 boy 2 girls

Since the order is not important, the probability is calculated as follows;

Probability = P(B) * P(G) * P(G)

Substitute \frac{1}{2} for P(B) and P(G)

Probability = \frac{1}{2} * \frac{1}{2} * \frac{1}{2}

Probability = \frac{1 * 1 * 1}{2 * 2 *2}

Probability = \frac{1}{8}

<em>Hence, the fractional probability is </em>\frac{1}{8}<em></em>

<em></em>

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3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
Art [367]
A constant function is characterized by having the same value for f(x) in all it's domain. This means every value of x will have the same value in the axis y. You can see that in the graphic as a horizontal line.

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Identify the surface with the given vector equation. r(s, t) = s sin 4t, s2, s cos 4t
k0ka [10]

Answer:

Circular paraboloid

Step-by-step explanation:

Given ,

r(s,t)=ssin4t,s^2,scos4t

Here, these are the respective x,y,z axes components.

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We see that , from the parameterised equation , r_i^2+r_k^2=s^2sin^24t+s^2cos^24t\\r_i^2+r_k^2=s^2\\r_i^2+r_k^2=r_j

This can also be written as :

x^2+z^2=y

This is similar to an equation of a parabola in 1 Dimension.

By fixing the value of z=0,

<u><em>We get y=x^2 which is equation of a parabola curving towards the positive infinity of y-axis and in the x-y plane.</em></u>

By fixing the value of x=0,

<u><em>We get y=z^2 which is equation of a parabola curving towards positive infinity of y-axis and in the y-z plane. </em></u>

Thus by fixing the values of x and z alternatively ,  we get a <u>CIRCULAR PARABOLOID. </u>

4 0
3 years ago
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