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lions [1.4K]
3 years ago
10

How do you factor out an expression

Mathematics
1 answer:
Korvikt [17]3 years ago
7 0
Just by multiplying it.
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Write the rational number as a decimal. Show your work. 5/9 -3/8 -3/11.
Bad White [126]

I have memorized facts about fractions like these, so can tell you ...

\dfrac{5}{9}=0.5\overline{5}\\\\-\dfrac{3}{8}=-3\times 0.125=-0.375\\\\-\dfrac{3}{11}=-0.27\overline{27}

_____

A fraction with 9 as a denominator is a repeating 1-digit decimal with the decimal digit being the numerator of the fraction.

A fraction with 11 as a denominator is a repeating 2-digit decimal with the two digits being 9 times the numerator of the fraction.

1/8 = 0.125, so any multiple of 1/8 is that multiple of 0.125.

4 0
3 years ago
Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?
ZanzabumX [31]

Answer:

shows correct substitution of the values a, b, and c  from the given quadratic equation    into quadratic formula.

Step-by-step explanation:

Given: The quadratic equation

We have to show the correct substitution of the values a, b, and c from the given quadratic equation    into quadratic formula.

The standard form of quadratic equation is  then the solution of quadratic equation using quadratic formula is given as

Consider the given  quadratic equation

Comparing with general  quadratic equation, we have

a = -3 , b = -2 , c = 6

Substitute in quadratic formula, we get,

Simplify, we have,

Thus,  and x_{2}=\frac{2-\sqrt{76} }{-6}

Simplify, we get,

Thus,  shows correct substitution of the values a, b, and c  from the given quadratic equation    into quadratic formula.

3 0
3 years ago
A bag contains 15 red candies, 15 yellow candies, and 15 blue candies. What is the probability of randomly
masya89 [10]

|\Omega|=45\cdot44=1980\\|A|=15\cdot14\cdot3=630\\\\P(A)=\dfrac{630}{1980}=\dfrac{7}{22}\approx31.8\%

6 0
2 years ago
In ΔDEF, e = 8.7 inches, ∠F=8° and ∠D=34°. Find the length of f, to the nearest 10th of an inch.
fomenos

Answer:

1.8 in

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
[ f(x) = 3x + 2<br> g(x) = x2<br> Find gf(5)<br> Find fg(x)
marusya05 [52]

Answer:

gf(5) = 289.

fg(x) = 3x^2 + 2.

Step-by-step explanation:

f(5) =  3(5) + 2 = 17

So gf(5) = 17^2 = 289.

fg(x) =  3(x^2) + 2   (we replace the x in f(x) by g(x)).

= 3x^2 + 2.  

8 0
3 years ago
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