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3 years ago

What is the approximate value of x in the equation below. log_3/4 25 = 3x-1

Mathematics

1 answer:

yuradex [85]3 years ago

5 0

Answer: The approximate value of x is -3.396

Step-by-step explanation:

Given:

Now,to find the value of x.

Use logarithm rule:

We have,

Now,

Using value of: and we get,

on simplify:

Adding 1 both the sides, we get

Therefore, the approximate value of x for the equation is -3.396.

Step-by-step explanation:

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What is the value of x and the length of segment DE?

Mandarinka [93]

Answer:

Part 1) $x=6.6\ units$

Part 2) $DE=16.2\ units$

Step-by-step explanation:

Part 1) Find the value of x

we know that

Triangles CDF and FDE are similar

therefore

The ratio of its corresponding sides is proportional and its corresponding angles are congruent

$CD/FD=FD/DE$

$\frac{5}{9}=\frac{9}{2x+3} \\ \\5*(2x+3)=9*9\\ \\10x+15=81\\ \\10x= 81-15\\ \\10x=66\\ \\ x=6.6\ units$

Part 2) Find the length of DE

$DE=2x+3$

substitute the value of x

$DE=2(6.6)+3=16.2\ units$

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3 years ago

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hodyreva [135]

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3 years ago

Can someone help me and explain? I will mark brainlest. ♡

Sedbober [7]

Answer:

$p'(4) = -3$

$q'(8) = \frac{1}{4}\\$

Step-by-step explanation:

For p'(4):

$p(x) = f(x)g(x) \\ p'(x) = \frac{d}{dx}(f(x)g(x)) \\ p'(x) = f'(x)g(x) +f(x)g'(x)$

$p'(4) = f'(4)g(4) + f(4)g'(4) \\ p'(4) = (-1)(3) +(7)(0) \\ p'(4) = -3$

For q'(8):

$q(x) = \frac{f(x)}{g(x)} \\ q'(x)= \frac{d}{dx}(\frac{f(x)}{g(x)}) \\ q'(x) = \frac{f'(x)g(x) -f(x)g'(x)}{{g(x)}^2}$

$q'(8) = \frac{f'(8)g(8) -f(8)g'(8)}{{g(8)}^2} \\ q'(8) = \frac{(2)(2) -(6)(\frac{1}{2})}{{2}^2} \\ q'(8) = \frac{4 -3}{4} \\ q'(8) = \frac{1}{4}$

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4 years ago

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The data set represents the total number of tickets each person purchased for a play.

Bezzdna [24]

Median: The middle number when all the numbers are listed in order.

First, we would put our numbers in order from least to greatest.

0 - 0 - 1 - 1 - 1 - 2 - 2 - 2 - 4 - 4

Next, we need to find the middle number. When we cross of one number from the left and one number from the right and keep doing this, we come across two numbers that are in the middle. The two numbers that are in the middle are 1 and 2. We find the median by adding 2 and 1 together to get a sum of 3 and then divide it by 2 to get an answer of 1.5

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kap26 [50]

Answer:

Step-by-step explanation:

We are given that FGH is a triangle, which means that...

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Divide both sides by 20 to isolate x

x=9

Plug 9 back in for x to solve for each angle

Angle F = 4(9)+2=36+2=38

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Angle H = 3(9)+5=27+5=32

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2 years ago

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