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LiRa [457]
3 years ago
9

If a =3x^2+5x-6 and b =-2x^2 -6x+7 then A - B equals

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

Answer:

5x^2+11x-13

Step-by-step explanation:

a=3x^2+5x-6\\b=-2x^2-6x+7

a-b=(3x^2+5x-6)-(-2x^2-6x+7)=\\3x^2+5x-6+2x^2+6x-7=\\5x^2+11x-13

Hope this helps!

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Help me pls! PLS PLS PLS I NEED IT<br><br>20 points<br>options are x, x^9, x^4, and x^6
marishachu [46]

Answer:

x^4

Step-by-step explanation:

The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4

5 0
2 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
hodyreva [135]

Answer:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.

Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is

9/3 = 27/9 = 3

Therefore, the relationship is a direct variation and the function to model it is

y = 3x

Step-by-step explanation:

3 0
2 years ago
The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun
Ugo [173]

Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. \mu=12.30 and \sigma=0.20

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process =  probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587

Hence, the required probability= A) 0.1587

6 0
3 years ago
A bag contains blue and yellow marbles. Two marbles are drawn without replacement. The probability of selecting a blue marble an
exis [7]
 blue marbles
y = yellow marbles
 Sum = b+y
 The <span>chance of a blue marble being drawn first is:
b / (b+y) = 0.55 
</span>The <span>chance of a blue marble being drawn first then a yellow next is:
</span>b / (b+y) * y / (b+y-1) = 0.37
This can be solve easily by using a theorem of Bayes 
0.37/0.55 = .67 or 67%
7 0
3 years ago
Express the following repeating decimal as a fraction in simplest form.
Ivenika [448]

Answer:

0.\overline{369} = \frac{41}{111}

Step-by-step explanation:

x = 0.369369369...

10x = 3.69369369...

100x = 36.9369369...

1000x = 369.369369...

1000x - x = 369

999x = 369

x = \frac{369}{999} \\\\x = \frac{123}{333}\\\\x = \frac{41}{111}

4 0
3 years ago
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