How do i simplify number 16?

Mathematics

1 answer:

Vikki [24]3 years ago

3 0

First flip the second fraction and multiply, also factor out smaller "pieces" of the expressions (for example, the top left can have an x factored out) and cancel any like terms

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Solve the equation. Round to the nearest hundredth. Show work.

denis-greek [22]

Answer:

Final answer is approx x=-0.66.

Step-by-step explanation:

Given equation is $5^{-2x-1}=4^{4x+3}$ .

Now we need to solve equation $5^{-2x-1}=4^{4x+3}$ and round to the nearest hundredth.

$5^{-2x-1}=4^{4x+3}$

$\log(5^{-2x-1})=\log(4^{4x+3})$

$(-2x-1)\log(5)=(4x+3)\log(4)$

$-2x \log(5)- \log(5)=4x \log(4)+3 \log(4)$

$-2x \log(5) -4x \log(4)=3 \log(4) +\log(5)$

$x=\frac{\left(3\log(4)+\log(5)\right)}{\left(-2\log(5)-4\log(4)\right)}$

Now use calculator to calculate log values, we get:

$x=-0.65817959094$

Round to the nearest hundredth.

Hence final answer is approx x=-0.66.

8 0

3 years ago

Find the discriminant of x^2+6x+13=0. What does this number tell you about how many real solutions there are to the equation? Sh

Lana71 [14]

Discriminant = sq root of b^2 - 4*a*c =
sq root of 36 - 4*1*13 =
sq root 36 -52 =
sq root 36 -52 =
sq root -16
There are no real solutions for this equation. Both roots are complex numbers.

5 0

3 years ago

Read 2 more answers

Dr. Green finds a note from another scientist. It says how many boxes of bug nets they should bring, but there is a smudge over

Marizza181 [45]

Answer:

The correct answer is the number in the note is 80 and the first digit is 8.

Step-by-step explanation:

Dr. Green finds a note from another scientist. It says how many boxes of bug nets they should bring, but there is a smudge over the first digit of the number.

Number of nets that they must bring is 320.

Each box contains 4 nets.

There number of boxes necessary to be brought is given by $\frac{320}{4}$ = 80.