What is 1c, (look at photo) I will make you brainliest!!!!

Mathematics

1 answer:

Fed [463]3 years ago

7 0

Answer:

p=4 and q could be any real number (except 1 because then CD would not be a line since the points would lie on top of each other).

Step-by-step explanation:

For CD to be horizontal, both of the y coordinates for CD need to be equal. Since we are already given one of the y coordinates (the y coordinate for D is 4), then we know that the y coordinate for C (p) is 4 as well). Since it doesn't really matter what q is (any value of q except 1 would create a horizontal line with point C as long as p=4), it is any real number except 1.

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Find the value of x 6x+2-2x=3x+14-x

Lubov Fominskaja [6]

Step-by-step explanation:

x will equal 6

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7 0

3 years ago

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2 ^ x = 3 ^ (x + 1) solve for x

xenn [34]

Answer:

-2.71

Step-by-step explanation:

This exponential equation can be solved by rewriting it so there is only one base, then using logarithms.

<h3>solve for x</h3>

2^x = 3^(x+1) . . . . . given

2^x = 3·3^x . . . . . . eliminate the constant in the exponent

(2/3)^x = 3 . . . . . . . divide by 3^x

x·log(2/3) = log(3) . . . . take logarithms

x = log(3)/log(2/3) ≈ -2.7095113

The value of x is about -2.71.

<em>Alternate solution</em>

Taking logarithms transforms this exponential equation to a linear equation.

x·log(2) = (x +1)·log(3) . . . . take logs

x(log(2) -log(3)) = log(3) . . . . . . subtract x·log(3)

x = log(3)/(log(2) -log(3)) = log(3)/log(2/3) . . . . . same result as above

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<em>Additional comment</em>

In the attached, we have used a graphing calculator to find the x-intercept of the function f(x) = 0, where f(x) = 2^x -3^(x+1). This is the solution to the given equation.

The applicable rules of logarithms are ...

log(a^b) = b·log(a)

log(a/b) = log(a) -log(b)