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1 year ago

Which point do the graphs of f and g have in common?

Mathematics

1 answer:

pickupchik [31]1 year ago

6 0

The point that the graphs of f and g have in common are (1,0)

<h3>How to get the points?</h3>

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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Please answer the question on the image attached

belka [17]

Y= -2+21
This is because the slope needs to be the negative reciprocal of 1/2 so the slope is -2 then you take the point (5,11) and plug that an the -2 into y=m(x)+b and you solve for b. In the end you get 21

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3 years ago

Express the following fractions as the sum or difference of two fractions (x^2+y^2)/x^4

zlopas [31]

Answer:

$\frac{1}{x^2}$ + $\frac{y^2}{x^4}$

Step-by-step explanation:

$\frac{x^2 + y^2}{x^4}$ = $\frac{x^2}{x^4}$ + $\frac{y^2}{x^4}$ = $\frac{1}{x^2}$ + $\frac{y^2}{x^4}$

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2 years ago

Multiplication Property of Equality---- If 6x divided by 8 = 40, then______

NNADVOKAT [17]

Answer:

Option C.) 6x=320

Step-by-step explanation:

we know that

The <u>Multiplication Property of Equality</u> states that if you multiply both sides of an equation by the same number, the sides remain equal

we have

$\frac{6x}{8}=40$

Apply the multiplication property of equality

Multiply by 8 both sides

$\frac{6x}{8}(8)=40(8)$

$6x=320$

therefore

The answer is the Option C

6 0

3 years ago

Read 2 more answers

Determine if the following sequence is an Arithmetic Sequence. If it is, what would be the 31st term? NOTE: an=a1+(n-1)d

Ivan

<h3>Key points :-</h3>

᪥ The formula to find the 31st term is : $\sf \: a_{n} = a_{1} + (n - 1) \times d$

᪥ In the formula, $\sf \: a_{1}$ represents the first term of the sequence.

᪥ $\sf\:n$ is the number of terms, In our case n is 31.

᪥ $\sf\:d$ is the common difference between the terms, In our case d is 4.

$\green{ \rule{300pt}{3pt}}$

<em>Detailed Solution is attached</em>᭄

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2 years ago

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What expression is equivalent to (9x^2 + 2x -7)(x - 4)

Dima020 [189]

Answer: C

Step-by-step explanation:

We can use the expanding rule to get that one if the expressions is

(9x^2 + 2x - 7)x + (9x^2 + 2x - 7)(-4)

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2 years ago