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3 years ago

3x - 4 + 2(-3 - 6x).

Mathematics

2 answers:

cluponka [151]3 years ago

7 0

Answer:

-9x - 10

Step-by-step explanation:

Elena-2011 [213]3 years ago

6 0

Answer:

x=9/2

Step-by-step explanation:

So in this equation we have to solve using PEMDAS, or parentheses, exponents, multiplication, division, addition, then subtraction, going from left to right. So first, i deal with whats in the parentheses, but since it cannot be subtracted, I next go on to the next step. Since there are no exponents, our next step is to multiply or distribute 2 into (-3-6x). In other words, i multiply 2 by -3 and 2 by -6x. This is going to be -6 -12x. After that, i add and subtract common factors, so 3x-12x is -9x, and -4-6 is -10. This leaves us with -9x-10=0. I add 10 to each side according to addition property of equality. Thus, the equation is -9x=-10. Divide both sides by -9, by the division property of equality, and u get 10/9. If you want a decimal answer, type it into a calculator.

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irga5000 [103]

Answer:

x-intercept: -1/7

y-intercept: 1/4

Step-by-step explanation:

change equation into standard form: 7x - 4y = -1

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Nostrana [21]

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3 years ago

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.

Artist 52 [7]

Answer: 0.0250

Step-by-step explanation:

Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.0 minutes.

We know that the uniform distribution is also known as rectangular distribution.

Density function for uniform distribution : $f(x)=\dfrac{1}{b-a}$

$=\dfrac{1}{60-50}=\dfrac{1}{10}$

Now, the probability that a given class period runs between 51.25 and 51.5 minutes :-

$\int^{51.5}_{51.25}f(x)\ d(x)\\\\ \int^{51.5}_{51.25}\dfrac{1}{10}\ dx\\\\=\dfrac{1}{10} [x]^{51.5}_{51.25}\\\\=\dfrac{1}{10}(51.5-51.25)=0.0250$

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3 years ago