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bazaltina [42]
3 years ago
15

What is 3x+2x(x-1)=9x+4

Mathematics
1 answer:
Korvikt [17]3 years ago
5 0
3x+2(x-1)=9x=4
We move all terms to the left:
3x+2(x-1)-(9x)=0
We add all the numbers together, and all the variables
-6x+2(x-1)=0
We multiply parentheses
-6x+2x-2=0
We add all the numbers together, and all the variables
-4x-2=0
We move all terms containing x to the left, all other terms to the right
-4x=2
x=2/-4
x=-1/2
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Solve for x: -5(x+5)>-2(x+4)
koban [17]

- 5(x + 5) >  - 2(x + 4) \\   - 5x -  25 >  - 2x - 8 \\ 3x <  - 17 \\ x <  -  \frac{17}{3}
4 0
3 years ago
A couple intends to have two children, and suppose that approximately 52% of births are male and 48% are female.
Pachacha [2.7K]

a) Probability of both being males is 27%

b) Probability of both being females is 23%

c) Probability of having exactly one male and one female is 50%

Step-by-step explanation:

a)

The probability that the birth is a male can be written as

p(m) = 0.52 (which corresponds to 52%)

While the probability that the birth is a female can be written as

p(f) = 0.48 (which corresponds to 48%)

Here we want to calculate the probability that over  2 births, both are male. Since the two births are two independent events (the probability of the 2nd to be a male  does not depend on the fact that the 1st one is a male), then the probability of both being males is given by the product of the individual probabilities:

p(mm)=p(m)\cdot p(m)

And substituting, we find

p(mm)=0.52\cdot 0.52 = 0.27

So, 27%.

b)

In this case, we want to find the probability that both children are female, so the probability

p(ff)

As in the previous case, the probability of the 2nd child to be a female is independent from whether the 1st one is a male or a female: therefore, we can apply the rule for independent events, and this means that the probability that both children are females is the product of the individual probability of a child being a female:

p(ff)=p(f)\cdot p(f)

And substituting

p(f)=0.48

We find:

p(ff)=0.48\cdot 0.48=0.23

Which means 23%.

c)

In this case, we want to find the probability they have exactly one male and exactly one female child. This is given by the sum of two probabilities:

- The probability that 1st child is a male and 2nd child is a female, namely p(mf)

- The probability that 1st child is a female and 2nd child is a male, namely p(fm)

So, this probability is

p(mf Ufm)=p(mf)+p(fm)

We have:

p(mf)=p(m)\cdot p(f)=0.52\cdot 0.48=0.25

p(fm)=p(f)\cdot p(m)=0.48\cdot 0.52=0.25

Therefore, this probability is

p(mfUfm)=0.25+0.25=0.50

So, 50%.

Learn more about probabilities:

brainly.com/question/5751004

brainly.com/question/6649771

brainly.com/question/8799684

brainly.com/question/7888686

#LearnwithBrainly

5 0
3 years ago
HELP!!!
Anuta_ua [19.1K]

Answer:

\$77,000 and the graph would fall at a slower rate to the right

Step-by-step explanation:

we have

y=Ao(0.79)^{x}

Observing the graph

The initial value Ao of the truck is equal to the y-coordinate of the y-intercept of the graph

so

Ao=\$77,000

If the depreciation rate was 15% per year, the new formula would be

y=Ao(1-0.15)^{x}

y=Ao(0.85)^{x}

y=77,000(0.85)^{x} ----> the graph would fall at a slower rate to the right

using a graphing tool

compare the graphs

8 0
2 years ago
Tuition. The tuition at a community college increased from $2,500 to $2,650 per semester. What was the percent of increase in th
konstantin123 [22]

Answer:

6 percent increase

Step-by-step explanation:

2650 divided by 2500 gives you 1.06 which means if 2500 is 100 percent 2650 would be 106 percent so the answer is a 6 percent increase

4 0
2 years ago
Read 2 more answers
Identify a pair of lines that looks parallel in the diagram.<br><br> pls help me
saveliy_v [14]

Lines f and g look to be parallel to each other.

8 0
9 months ago
Read 2 more answers
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