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Slav-nsk [51]
3 years ago
11

Write as a mixed number to the lowest terms 9 1/4 - 6 2/3 what is the answer?

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

Answer:

2 7/12

Step-by-step explanation:

9 1/4 - 6 2/3=

9 3/12- 6 8/12=

2 7/12

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3 years ago
Lim x-1 x³-2x²+3x-2/(2x^4-3x+1)
UkoKoshka [18]

Since the limit becomes the undetermined form

\displaystyle \lim_{x\to 1} \dfrac{x^3-2x^2+3x-2}{2x^4-3x+1} \to \dfrac{0}{0}

it means that both polynomials have a root at x=1. So, we can fact both numerator and denominator:

x^3-2x^2+3x-2 = (x-1)(x^2-x+2)

2x^4-3x+1 = (x-1)(2x^3+2x^2+2x-1)

So, the fraction becomes

\dfrac{(x-1)(x^2-x+2)}{(x-1)(2x^3+2x^2+2x-1)} = \dfrac{x^2-x+2}{2x^3+2x^2+2x-1}

Now, as x approaches 1, you have no problems anymore:

\displaystyle \lim_{x\to 1} \dfrac{x^2-x+2}{2x^3+2x^2+2x-1} \to \dfrac{2}{5}

4 0
3 years ago
Compute:<br> 3^(log3 16) - 5^(log5 11)
Nataliya [291]

Answer:

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Step-by-step explanation:

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You will begin with a relatively standard calculation. consider a concave spherical mirror with a radius of curvature equal to 6
vodomira [7]
We are given a concave spherical mirror with the following dimensions:

Radius = 60 cm; D o = 30 cm
Height = 6 cm; h o = 6 cm

First, we need to know the focal length, f, of the object (this should be given). Then we can use the following formulas for calculation: 

Assume f = 10 cm

1/ f = 1 /d o + 1 / d i
1 / 10 = 1 / 30 + 1 / d i

d i = 15 cm

Then, calculate for h i:

h i / h o = - d i / d o

h i / 6 = - 15 / 30

h i = - 3 cm

Therefore, the distance of the object from the mirror is 3 centimeters. The negative sign means it is "inverted". 
6 0
3 years ago
210+698-812+1453-1300
marissa [1.9K]

Answer: 249

Step-by-step explanation: 210+698-812+1453-1300

3 0
3 years ago
Read 2 more answers
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