3 years ago

In the problems below, f(x) = log₂x and

Mathematics

1 answer:

kramer3 years ago

3 0

Answer:

(1,0)

Step-by-step explanation:

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0)

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What are the x and y intercepts of the line described by this equation? 4x-3y=12.3

Nataly [62]

X-intercept is when y=0;

4x-3(0)=12.3
4x=12.3
x=12.3/4
x=3.075 (x-intercept)

y-intercept is when x=0

4(0)-3y=12.3
-3y=12.3
y=12.3/-3
y=-4.1 (y-intercept)

Hope I helped :)

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3 years ago

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A jug holds 5 gallons of water. If a glass holds 4 ounces of water, how many glasses can be drawn from the water jug?

MariettaO [177]

Hey You!

1 gallon = 16 cups.

5 gallons = 80 cups.

80 glasses can be filled from the jug.

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3 years ago

(f(x) = 0.5x2 - 2) + (g(x) = 8x3 + 2)

galina1969 [7]

Answer:

Final answer is $f(x)+g(x)=0.5x^2+8x^3$

Step-by-step explanation:

Given functions are $f\left(x\right)=0.5x^2-2$ and $g(x)=8x^3+2$

Now we need to add both functions:

$f(x)+g(x)$

$=(0.5x^2-2)+(8x^3+2)$

$=0.5x^2-2+8x^3+2$

$=0.5x^2+8x^3-2+2$

combine like terms -2 and +2

$=0.5x^2+8x^3$

Hence final answer is $f(x)+g(x)=0.5x^2+8x^3$

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3 years ago

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Question 7

Schach [20]

Answer:

E. 6

Step-by-step explanation:

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AY (-3, 1) #3211 # -2 2 x -2 (2, -2) The slope is negative Find the slope m =

Anarel [89]

9514 1404 393

Answer:

-3/5

Step-by-step explanation:

The slope can be found using the formula ...

m = (y2 -y1)/(x2 -x1)

Using the values from the marked points, we have ...

m = (-2 -1)/(2 -(-3)) = -3/5 . . . . it is negative

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3 years ago