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likoan [24]
3 years ago
11

-2m(m+n-4)+5(-2m+2n)+n(m+4n-5)

Mathematics
2 answers:
charle [14.2K]3 years ago
8 0
Hello! And thank you for your question!

First we are going to expand the equation:

<span>−2<span>m^<span><span>​2</span><span>​​</span></span></span>−2mn+8m−10m+10n+nm+4<span>n<span><span>​^2</span><span>​​</span></span></span>−5n

Then we are going to combine like terms:

</span><span><span>−2<span>m<span><span>​^2</span><span>​​</span></span></span>+(−2mn+mn)+(8m−10m)+(10n−5n)+4<span>n<span><span>​^2</span><span>​​</span></span></span></span>
</span>
Then finally, simplify:

−2<span>m<span><span>​^2</span><span>​​</span></span></span>−mn−2m+5n+4<span>n<span>​^<span>2

Final Answer:
</span></span></span>
−2m​^2​​−mn−2m+5n+4n​^2
arlik [135]3 years ago
4 0
-2m(m+n-4)+5(-2m+2n) +n(m+4n-5)
-2m^2-2mn+8m-10m+10n+mn+4n^2-5n
-2m^2+4n^2-2m+5n-mn
Hope this helps!
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I don’t know how to do this question <br> on the picture <br> Help please
Inga [223]

7×0.5=3.5

3.5×4=15

7×7=49

49-15=34

6 0
4 years ago
Use the properties of exponential and logarithmic functions to solve each system. Check your answers.
BlackZzzverrR [31]

The solved logarithmic function is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

What is a logarithmic and exponential function?

Logarithmic functions and exponential functions are inverses of each other. The logarithmic function is denoted by using the word log while exponential by using the alphabet,  e. For example log 10 = 1 and e^2.

Solving the given expressions: log (2x - y) = 1 and log (x + y) = 3 log 2

Applying given properties of logarithmic and exponential function;

log a + log b = log (ab)

4 log x = log x⁴

e^(log x) = 1

e^(x + y) = (e^x) × (e^y)

Take expression, log (2x - y) = 1

Applying exponential on both sides, we get,

e^(log 2x - y) = e^1

2x - y = e

To Check Results,

Taking logarithm both sides,

log (2x - y) = log e

log (2x - y) = 1

Thus, the answer is verified.

Take expression, log (x + y) = 3 log 2

Applying exponential on both sides, we get,

e^(log (x + y) = e^(3 log 2)

x + y = e^(log 8)

x + y = 8

To Check Results,

Taking logarithm both sides,

log (x + y) = log 8

log (x + y) = 3 log 2

Thus, the answer is verified.

Hence, the solved expression is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

To learn more about the logarithmic and exponential functions, visit here:

brainly.com/question/13473114

#SPJ4

3 0
1 year ago
Brainliest first &amp; correct!
Ilia_Sergeevich [38]

Answer:  Choice A

y = -3(x+2)^2 + 10

=================================================

Work Shown:

y = -3x^2-12x-2 is in the form y = ax^2+bx+c with

a = -3

b = -12

c = -2

The x coordinate of the vertex is

h = -b/(2a)

h = -(-12)/(2*(-3))

h = 12/(-6)

h = -2

We'll plug this into the original equation to find the corresponding y coordinate of the vertex.

y = -3x^2-12x-2

y = -3(-2)^2-12(-2)-2

y = 10

So k = 10 is the y coordinate of the vertex.

Overall, the vertex is (h,k) = (-2,10)

Meaning that we go from this general vertex form

y = a(x-h)^2 + k

to this

y = -3(x - (-2))^2 + 10

y = -3(x+2)^2 + 10

8 0
3 years ago
What is the wavelength in meters of the electromagnetic carrier wave transmitted by the Sport Fan radio station at a frequency o
tankabanditka [31]
2.8m/9 that is what the answer is
7 0
2 years ago
What percent of 2/7 is 1/7
svlad2 [7]

Answer:

50%.

Step-by-step explanation:

1/7 / 2/7

= 1/7 * 7/2

= 7/14

= 1/2.

= 50%.

3 0
4 years ago
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