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Firlakuza [10]
2 years ago
10

Select all of the values of x that are solutions to 17-7x> 3(10x-4) + 61.

Mathematics
1 answer:
lions [1.4K]2 years ago
7 0

Answer: -2, -4, -1

Step-by-step explanation:

17-7x > 3(10x-4)+61\\\\17-7x > 30x-12+61\\\\17-7x > 30x+49\\\\-32 > 37x\\\\x < -\frac{32}{37}

So, the values of x are -2, -4, -1.

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Please help me!! Will get brainliest!
makvit [3.9K]
Completing the square follows the principle of taking a x^{2} +bx+c and converting it into (x+ \frac{b}{2})^2+d where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us a x^{2} +b.

In this case, 2/2=1 so we have the first part: (w+1)^2.
Expanding this gives us w^2+2w+1. We need c to be 9, so we can just add 8.
Putting this together:

w^2+2w+9=(w+1)^2+8

Now we can solve it more easily.
Rearranging:
(w+1)^2=-8 \\ w+1= +-\sqrt{-8} = +-\sqrt{8}i=+-2 \sqrt{2}i   \\ \boxed{w=-1+ 2\sqrt{2}i\ or\ -1-2 \sqrt{2}i  }
5 0
3 years ago
Help me with this math problem I will give BRAINLIEST for the right answer.<br><br> Show your work**
aev [14]

Answer:

The answer is 9x-4.

Step-by-step explanation:

First calculate the area of the backyard. This is 13x-1. Then multiply the area of the patio so multiply x +3 by x+ 3. The answer to this is 4x+3. Next subtract the area of the patio from the area of the backyard. The answer is 9x-4.

3 0
3 years ago
In a triangle ABC, A= 29°, B=36° and b=15.8cm. Find a, using sine rule.​
Nastasia [14]
A= (b sin A)/ sinB

a= (15.8 sin29)/ sin36

a= 13.03 cm
4 0
3 years ago
Based on a​ survey, assume that 43​% of consumers are comfortable having drones deliver their purchases. Suppose we want to find
svlad2 [7]

Answer:

The probability of getting two consumers comfortable with drones is 0.3424.

Step-by-step explanation:

The probability that a consumer is comfortable having drones deliver their purchases is, <em>p</em> = 0.43.

A random sample of <em>n</em> = 5 consumers are selected, and exactly <em>x</em> = 2 of them are comfortable with the drones.

To compute the probability of getting two consumers comfortable with drones followed by three consumers not​ comfortable, we will use the Binomial distribution instead of the multiplication rule to find the probability.

This is because in this case we need to compute the number of possible combinations of two consumers who are comfortable with drones.

So, <em>X</em> = number of consumers comfortable with drones, follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.43.

Compute the probability of getting two consumers comfortable with drones as follows:

P(X=x)={5\choose x}\ 0.43^{x}\ (1-0.43)^{5-x};\ x=0,1,2,3...

P(X=2)={5\choose 2}\ 0.43^{2}\ (1-0.43)^{5-2}

               =10\times 0.1849\times 0.185193\\=0.342421857\\\approx 0.3424

Thus, the probability of getting two consumers comfortable with drones is 0.3424.

4 0
3 years ago
Can anyone help me please?
solong [7]

Answer:

i can what is it that u need help on?

Step-by-step explanation:

7 0
3 years ago
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