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Bad White [126]
3 years ago
6

Determine whether each function is even, odd, or neither.

Mathematics
2 answers:
Ray Of Light [21]3 years ago
7 0

Answer:

Please check the explanation.

Step-by-step explanation:

<u>Even Functions:</u>

The function is unchanged when it is reflected about the y-axis.

i.e.

f(-x) = f(x)

<u>Odd Functions:</u>

The function is unchanged when it is rotated 180° about the origin.

i.e.

f(-x) = -f(x)

<u>Neither Functions:</u>

f(-x) ≠ -f(x)

Let us check the given functions:

  • f(x) = Vx²9

plug –x in for x

f(-x) = V(-x)²9

f(-x) = Vx²9

f(-x) = f(x)

Therefore, the function f(x) = Vx²9 is even function.

  • g(x) = |x-3|

plug –x in for x

as

f\left(-x\right)=|x+3|

and

-f\left(x\right)=-\left|x-3\right|

so

f(-x) ≠ f(x)

f(-x) ≠ -f(x)

Thus,

g(x) = |x-3| is neither an even nor an odd function.

  • g(x) = x + x²

plug –x in for x

g(-x) = (-x) + (-x)²

g(-x) = -x + x²

g(-x) = -(x-x²)

so

f(-x) ≠ f(x)

f(-x) ≠ -f(x)

Thus, it is neither an even nor an odd function.

Thus,

g(x) = x + x² is neither an even nor an odd function.

AlekseyPX3 years ago
7 0

Answer:

First is even

Second is neither

Third is odd

Last one is neither

Have a great day

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Identify the values of a, b, and c in this quadratic equation:
riadik2000 [5.3K]

Answer:

C

a = 1 : b=-8; C = 12

Step-by-step explanation:

I think you did not include the sign between the x^2 and the 8x...my guess is that it is a minus.

By process of elimination the answer is not B or D bc the a-value is 1 not 0.

Then the +12 you did include in the original question indicates that the c-value is 12 not -12 eliminating answer A.

3 0
2 years ago
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of
uysha [10]
Let
x-----------> <span>the side length of a pyramid square base
h-----------> t</span>he height of the sculpture <span>in the shape of a pyramid

we know that
h=(x-3)
Volume=162 cm</span>³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- <span>this equation can be used to find the length of the sculpture’s base 

using a graph tool-----------> </span>to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm

the answer is
<span>the length of the sculpture’s base is 9 cm
</span>the height of the sculpture is 6 cm

8 0
3 years ago
Oblicz.Pamiętaj o kolejności wykonywania działań
SashulF [63]

Answer:

33.275

Step-by-step explanation:

<u>1 step:</u> Difference in brackets

3.5-2\dfrac{1}{3}=3\dfrac{1}{2}-2\dfrac{1}{3}=(3-2)+\left(\dfrac{1}{2}-\dfrac{1}{3}\right)=1+\dfrac{3-2}{3\cdot 2}=1+\dfrac{1}{6}=1\dfrac{1}{6}

<u>2 step:</u> 0.75\div\dfrac{1}{3}

0.75\div\dfrac{1}{3}=\dfrac{75}{100}\div \dfrac{1}{3}=\dfrac{3}{4}\times \dfrac{3}{1}=\dfrac{9}{4}

<u>3 step:</u> 1.28\div 0.04

1.28\div 0.04=128\div 4=32 \ \text{Move point two decimal places}

<u>4 step:</u>

2\dfrac{1}{4}\times 1\dfrac{1}{6}=\dfrac{2\cdot 4+1}{4}\times \dfrac{1\cdot 6+1}{6}=\dfrac{9}{4}\times \dfrac{7}{6}=\dfrac{63}{24}=\dfrac{21}{8}

<u>5 step:</u>

\dfrac{9}{4}+32-\dfrac{21}{8}+1.65=(32+1.65)+\left(\dfrac{9}{4}-\dfrac{21}{8}\right)=33.65+\dfrac{9\cdot 2-21}{8}=33.65-\dfrac{3}{8}=33.65-0.375=33.275

6 0
2 years ago
last month john spent 75.00 dollars on games. this month he only spent 63.00. he spent ___ percent less this month
aivan3 [116]
First, subtract 63 from 75 to find out how much it decreased. 
75 - 63 = 12 
Divide 12 by 75. 
12 / 75 = 0.16
In percents, that is 16%. 
He spent 16% less this month. 
Hope this helps!
3 0
3 years ago
Read 2 more answers
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