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Ne4ueva [31]
3 years ago
14

Find the difference: 7 7/8 - 3 1/4

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0
In order to subtract mixed fractions, we must convert them into improper fractions first. To do this simply multiply the whole number by the denominator and add the numerator. The product of this operation will be the new numerator (the whole number is no longer present).

(56 + 7)/8 - (12 + 1)/4
= 63/8 - 13/4

Now that we have our fractions in improper form, we must find the least common denominator which is 8. To avoid changing the value of the second fraction, multiply both the numerator and denominator by 2 (which is essentially 2/2 which equals to 1).

63/8 - 26/8
= 37/8
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How does the graph of f(x) = (x − 9)4 − 3 compare to the parent function g(x) = x4?
Paraphin [41]

Answer:

The graph is shifted right by 9 units and down by 3 units

Step-by-step explanation:

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3 years ago
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Why does a calculator return an error when trying to find inverse sine of 1.055?
Rashid [163]
The calculator returns an error as the answer for the inverse sine of 1.055 because the acceptable range for sine is only from 0 to 1.00 in which 1.055 is clearly greater than. This is also the same as for the cosine values. 
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A circle has a radius of 5 centimeters. What is the area?
schepotkina [342]

Answer:

25\pi

Step-by-step explanation:

The formula for the area of a circle is A=\pi r^{2}, r is your radius, A is your area, and π is pi (3.1415...). You plug in your radius, or 5 into r, square it, 25, and multiply it by pi. You may be asked to use a certain number of digits of pi, and in that case you multiply for example 3.14 by 25, however 25\pi is the exact answer.

6 0
2 years ago
Suppose that the function g is defined, for all real numbers, as follows.
svetoff [14.1K]

Answer:

<em>a) g(-2) = 0</em>

<em>b) g(-1) =1</em>

<em>c) g(4) = 2</em>

Step-by-step explanation:

Given data

g(x) = \frac{-1}{4x+1} if x < -2

g(x) = - (x+1)^{2} +1  if -2\leq x\leq 2

g(x) = 2 if x >2

<u><em>Step( i )</em></u>:-

g(x) = - (x+1)^{2} +1  if -2\leq x\leq 2

put x = -2

g(-2) = -(-2+1)^{2} +1 = -(-1)^{2}+1 = -1+1 =0

<em>g(-2) = 0</em>

<u><em>Step(ii)</em></u>:-

g(x) = - (x+1)^{2} +1  if -2\leq x\leq 2

Put x = -1

g(-1) = -(-1+1)^{2} +1 = -(0)^{2}+1 = -0+1 =1

<em>g(-1) =1</em>

<u><em>Step(iii)</em></u>:-

g(x) = 2 if x >2

<em>g(4) = 2</em>

<em></em>

7 0
3 years ago
Two transformations are performed on a figure on a coordinate plane. The first transformation is translated 6 units up and 3 uni
Bess [88]

Answer:

The last answer choice

Step-by-step explanation:

This transformation doesn't not keep its congruent

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