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3 years ago

Pleaseeeee helppp!!!!!!!!!!!

Mathematics

1 answer:

Mrrafil [7]3 years ago

5 0

$4^{2x}=7^{x-1}\\
16^x=7^x\cdot7^{-1}\\
\dfrac{16^x}{7^x}=\dfrac{1}{7}\\
\left(\dfrac{16}{7}\right)^x=\dfrac{1}{7}\\
x=\log_{\tfrac{16}{7}}\dfrac{1}{7}\approx-2.35389$

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Phoenix [80]

Answer:

Since i don't know what formula is mentioned. I just used the easiest way to solve :)

Step-by-step explanation:

$(3x^2 + 3)^3 = (3x^2)^3 + 3^3 + 3((3x^2)^2)(3) + 3(3x^2)(3^2)$

$= 27x^6 + 27 + 3(9x^4 \times 3) + 3(3x^2 \times 9)\\\\=27x^6 + 27 + 81x^4 + 81x^2\\\\=27x^6 + 81x^4 + 81x^2 + 27\\\\$

$\int\limits {(3x^2+3)^3} \, dx = \int\limits {27x^6 + 81x^4+81x^2 + 27} \, dx$

$= \frac{27}{7}x^7 + \frac{81}{5}x^5+\frac{81}{3}x^3 + 27x +C\\\\= \frac{27}{7}x^7 + \frac{81}{5}x^5+27x^3 + 27x +C\\\\$

8 0

3 years ago

A batch of snack mix made of dried fruit and nuts contain 744G of nuts the ratio of nuts to dried fruit by weight is 12 to 13 ho

Bezzdna [24]

In a bag of snack mix:

n = nuts d = dried fruit

n = 744g d = ???g

Ratio Nuts/Dried fruit = 12/13

This basically means that if the mix was divided in 25 parts, 12 parts would be nuts and 13 would be dried fruits

If 744 is 12 parts then 744/12 is 1 part

744/12 = 62

1 part = 62g

there are 13 parts of dried fruit

13 x 62 = 806

744g of nuts + 806g of dreid fruit = 1550g

Answer: A batch of snack mix weigh 1550g, or 1.55kg

hope it helps :)

6 0

3 years ago

If a⋅b+c⋅d=12, and a,b,c and d are all integers greater than 1, how many values are possible for a, if a, b, c, and d are not ne

Dmitriy789 [7]

Answer:

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3 years ago

A car travelled 216km at an average speed of 48km/h.On the return journey the average speed increased to 72km/h.Calculate the av

mel-nik [20]

Answer:120km/hr

Step-by-step explanation:

3 0

3 years ago

What is the inverse of the function f(x)= 6x-5/x+9

Goshia [24]

Answer:

Inverse of -5-9x/x-6

Step-by-step explanation:

Steps:

1: Interchange the variables x and y.

x=6y-5/y+9

2: Solve x = 6y-5/y+9 for y

3: Multiply both sides by y+9

4: Simplify and Expand

5: Subtract 9x from both sides.

6: Simplify and Subtract y from both sides then Simplify again

7: Divide both sides by x-6

Answer: Inverse of -5-9x/x-6

Hope this helps.

6 0

3 years ago

Read 2 more answers