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Alex17521 [72]
3 years ago
11

Simplify: (-5a³-7a² +3)+(-9a³ +5a² +9)​

Mathematics
1 answer:
DedPeter [7]3 years ago
3 0

Answer: =−14a3−2a2+12

Step-by-step explanation:

−5a3−7a2+3−9a3+5a2+9

=−5a3+−7a2+3+−9a3+5a2+9

Combine Like Terms:

=−5a3+−7a2+3+−9a3+5a2+9

=(−5a3+−9a3)+(−7a2+5a2)+(3+9)

=−14a3+−2a2+12

Answer:

=−14a3−2a2+12

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BRAINLIEST ASAP! PLEASE HELP ME :)
Likurg_2 [28]

Answer:

\large \boxed{41^{\circ}}

Step-by-step explanation:

     ∠1 = ∠2

    ∠3 = ∠4

∠JKN = ∠1 + ∠2 = 8x + 2

∠MKN = ∠3

∠MKL = ∠4 = 3x + 5

So, ∠3 = 3x + 5

\begin{array}{rcll}(\angle 1 + \angle 2) + \angle 3 + \angle 4 & = & 180 & \text{$\vec{KJ}$ and $\vec{KL}$ are opposite rays}\\8x + 2 + 3x + 5 + 3x + 5 & = & 180 & \text{Made the substitutions}\\14x + 12 & = & 180 & \text{Simplified}\\14x & = & 168 &\text{Subtracted 12 from each side}\\x & =  & \mathbf{12} & \text{Divided each side by 14}\\\angle3 & =  & 3x + 5 & \\& =  & 3(12) + 5 & \\& =  & 36 + 5 & \\& =  & \mathbf{41} & \\\end{array}\\m\angle MKN = \large \boxed{\mathbf{41^{\circ}}}

7 0
2 years ago
Convert the quadratic function from vertex form to standard form: g(x)= 1/2 (x+2)^2-8
Yuri [45]

Answer:

y = 1/2x² - 2x - 6

4 0
1 year ago
Maggie's brother is 3 years younger than twice her age. The sum of their ages is 36. How old is Maggie? Maggie is years old.
Triss [41]

Answer:

Maggie is 13 years old.

Step-by-step explanation:

Maggie's age is: x

Maggie's brother's age is: 2x - 3

The sum of the ages = 36

x + 2x - 3 = 36

3x - 3 = 36

3x = 39

x = 13

Answer: Maggie is 13 years old.

4 0
3 years ago
According to an​ almanac, 60​% of adult smokers started smoking before turning 18 years old. ​(a) compute the mean and standard
larisa [96]
The given problem describes a binomial distribution with p = 60% = 0.6. Given that there are 400 trials, i.e. n = 400.

a.) The mean is given by:

\mu=np=400\times0.6=240

The standard deviation is given by:

\sigma=\sqrt{npq} \\  \\ =\sqrt{np(1-p)} \\  \\ =\sqrt{400(0.6)(0.4)} \\  \\ =\sqrt{96}=9.80


b.)  The mean means that in an experiment of 400 adult smokers, we expect on the average to get about 240 smokers who started smoking before turning 18 years.


c.) It would be unusual to observe <span>340 smokers who started smoking before turning 18 years old in a random sample of 400 adult​ smokers because 340 is far greater than the mean of the distribution.
340 is greater than 3 standard deviations from the mean of the distribution.</span>
5 0
3 years ago
Middle school problem attached :D
suter [353]

Answer: $638.40

Step-by-step explanation:

45% converted to a decimal is 0.45

0.45 of $1200 = 0.45* $1200 (of in this case means multiply)

0.45 * $1200= $440

Because they said 11% of remaining salary, we have to do:

$1200-$440=$760

Now 11% converted to a decimal is 0.11

5% converted to a decimal is 0.05

So 0.11+0.05

0.11+0.05= 0.16

Now 0.16 *$760=$121.60

Now we find the remaining amount so we subtract: $760-$121.60= $638.40

So our answer is $638.40 left

7 0
1 year ago
Read 2 more answers
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