What is (-9)+9 simplified

Mathematics

1 answer:

Paul [167]3 years ago

6 0

Answer:

the answer is zero

Step-by-step explanation:

-9+9=0

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Which expression is equivalent to (4g3h2k4)3

RSB [31]

Answer:

d) $8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

$\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$ $= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

Step-by-step explanation:

Explanation

Given expression

= $\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$

By using

(ab)ⁿ = aⁿbⁿ

$\frac{a^{m} }{a^{n} } = a^{m-n}$

= $\frac{(4)^{3} g^{9} h^{6}k^{12} ) }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$

After simplification , we get

$= 8g^{9}g^{-3} h^{6} h^{-2} k^{12} - (h^{5} k^{3} )^{5}$

$= 8g^{9-3}h^{6-2} k^{12} - (h^{5} k^{3} )^{5}$

$= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

3 0

2 years ago

The following graph describes function 1 and the equation below it describes function 2:

Tanya [424]

Function 1:
f(x) = -x² + 8(x-15)f(x) = -x² + 8x - 120
Function 2:
f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4

Function 2 derivative: -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒ x= 2
Function 1: f(x) = -x² + 8x - 120 ; x = 4
f(4) = -4² + 8(4) - 120 = 16 + 32 - 120 = -72

Function 2: f(x) = -x² + 4x+1 ; x = 2
f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13

Function 2 has the larger maximum.

8 0

2 years ago

If a randomizer picks seven letters from the alphabet (with repeats allowed), how many possible outcomes are there?

Virty [35]

Answer:

7×26=182

Step-by-step explanation:

I'm pretty sure that's the right answer but I just multiplied 26 by 7. Hope that helped!

7 0

2 years ago

Can somebody help me on this pleaseee

lord [1]