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4 years ago

4x+5-2x=11 how to solve?

Mathematics

2 answers:

aliya0001 [1]4 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

So first you combine 4x and -2x to get 2x. Then you have 2x+5 = 11, so you subtract 5 from both sides to get x alone. After subtracting 5 you should get 2x = 6. To get x you just divide both sides by 2 and that should leave you with x = 3.

Aleksandr [31]4 years ago

6 0

Subtract the 5 from both sides leaving you with 4x-2x=6, 2x=6 divide by 2 on each side and you get x=3

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4 years ago

Read 2 more answers

Factorise x squared + 3x + 2

Zielflug [23.3K]

Answer:

$(x + 2)(x + 1)$

Step-by-step explanation:

by factorising ;

=》

${x}^{2} + 3x + 2$

=》

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i hope it helped.....

8 0

3 years ago

When I solved this equation I got x=0.5

qwelly [4]

You might have made an error the first time you solved for x. I got x = -0.5.

When you have your log base 4, the way you cancel that out is by making 4 the base on both sides, so you get 4^(log4) to reduce to 1, and you're left with:

2x + 3 = 4^(1/2) ... Simplify

2x + 3 = 2

2x = -1

x = -1/2

If you plug that back in, everything checks out. Maybe double check your use of logarithm/exponent properties?

4 0

3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Marta_Voda [28]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$