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3 years ago

Real word problem for .75x-18.5=.65x

Mathematics

1 answer:

VashaNatasha [74]3 years ago

6 0

0.75x-18.5-0.65x=0
0.1x-18.5=0
0.1x=18.5 divide each term by 0.1
x=185

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At Central High School, the following probabilities have been determined.

yuradex [85]

Answer:

The expression is $\frac{h}{g}$

Step-by-step explanation:

Define the following events:

A: The student is enrolled in a foreign language class,

B: The student is enrolled in a technology class

We are given that $P(A) = f, P(B) = g, P(A\cap B) = h$

Recall the definition of conditional probability: Let A, B be sets if P(B)>0, then, the probability of A given B is given by the expression

$P(A|B) = \frac{P(A\cap B)}{P(B)}$

So, using this, we are asked for the probability $P(A|B)$ which is

$P(A|B) = \frac{P(A\cap B)}{P(B)} = \frac{h}{g}$

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4 years ago

If f(x) = 2x2 - x - 6 and g(x) = x2 - 4, find f(x) ÷ g(x).

Phantasy [73]

$f(x)=2x^2-x-6,\ g(x)=x^2-4\\\\f(x)\div g(x)=\dfrac{f(x)}{g(x)}=\dfrac{2x^2-x-6}{x^2-4}=\dfrac{2x^2-4x+3x-6}{x^2-2^2}\\\\=\dfrac{2x(x-2)+3(x-2)}{(x-2)(x+2)}=\dfrac{(x-2)(2x+3)}{(x-2)(x+2)}=\dfrac{2x+3}{x+2}\ for\ x\neq0\\\\Answer:\ f(x)\div g(x)=\dfrac{2x+3}{x+2}$

$Used:\ a^2-b^2=(a-b)(a+b)$

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3 years ago

Please help and explain. Thank you!

Anvisha [2.4K]

Answer:

For the first question, the answer is 216 and the equation would become just 6^3

For the second, the answer is 9.

Step-by-step explanation:

When there is a negative exponent, that monomial is brought up to the top of the fraction, (the numerator) so 1/6^-3 becomes 1(6^3)/1, or simplified, just 6^3 since divided by one is the same number and times one is the same number. 6 x 6 x 6 is 216.

When there is a negative exponent outside the equation in a <u>fraction,</u> you need to take the reciprocal of the fraction. Since it's squared, it will always be positive, so we can ignore the negative sign. 3/1 (or just 3) to the power of 2 is 9. (3 x 3 is 9).

When explained throughly this might be found confusing, but it's a very easy concept to get after a while.

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Step-by-step explanation:

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Oxana [17]

1/4x. You didn't give us any answer choices, so if that's wrong I apologize but I doubt it is.

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4 years ago