Mathematics High School

Determine whether each function is even, odd, or neither.
f(x) = x²_9

g(x) = |x-3

f(x) = 22-1

g(x) = x + x2

Determine Whether Each Function Is Even, Odd, Or Neither.f(x) = X_9g(x) = |x-3f(x) = 22-1g(x) = X + X2

Answers

Answer 1

Rule for even

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]

Rule for odd

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]

Here D_f means domain of function.

#1

[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]

Take x=4

[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]

[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]

Even function✓

#2

[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]

Take x=2

[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]

[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]

[tex]\\ \sf\longmapsto -g(2)=-1[/tex]

Odd function✓

#3

[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]

Take x=3

[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]

[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]

[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]

Odd function ✓

#4

[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]

Take x=1

[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]

[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]

[tex]\\ \sf\longmapsto -g(1)=-2[/tex]

Neither✓

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Step-by-step explanation:

just count it!!

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Step-by-step explanation:

22 - 14.57 = 7.43

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Answer:

Step-by-step explanation:

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Answers

Answer:

(4 + d) × 2

Step-by-step explanation:

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Use pemdas to evaluate the equation

Andrea has 473 scented stickers in her sticker book. How many tens of stickers does Andrea have?

7

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47

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Answers

Answer:

Andrea has 70

Step-by-step explanation:

7 is the tens place that would make it 70

Answer:

47

Step-by-step explanation:

Given:

473 scented stickers

To Find:

How many tens of stickers does Andrea have?

Solution:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

a factor is something you multiply with.

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Answer:

Step-by-step explanation:

A CHOOSE A

Answer:

A

Step-by-step explanation:

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10-25 in negative form

Answers

-15 i pretty positive it is that

Have a good day

I hope this helps stay positive get it negative positive

1.) 5/11 = 2.) 6/8 = 3.) 8/13 = 4.) 4/9 = 5.)
p 7/15=​

Answers

Answer:

1. 5/11 = five elevenths = 5:11

2. 6/8 = six eighths = 6:8

3. 8/13 = eight thirteenths = 8:13

4. 4/9 = four ninths = 4:9

5. 7/15 = seven fifteenths = 7/15

Step-by-step explanation:

1. To convert numerical fractions into word form, here are a few tips:

Write the numerator of the fraction spelled out exactly as it appears as a number (for example, if the numerator is 5, you spell out the word "five") Write the denominator of the fraction like you would write ranking for a contest (for example, if the denominator is 11, you write it as eleventh)

2. To convert a fraction into colon form, here are a few tips:

Remember, fractions are ratios. Ratios can be written as x : y.The ratio compares the numerator to the denominator, having the numerator to the left side of the colon and the denominator on the right side. (For example, if the fraction is 6/8, the colon form is 6 : 8).

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Answers

Step-by-step explanation:

30×5=150 and 800×28%=224

total earned $374.

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Answer:

Step-by-step explanation:

100 students are interviewed to see which of biology, chemistry or physics they prefer.
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Answer:

48% of students prefer biology

Step-by-step explanation:

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Domain is [+7,+infinity[

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Answer:

why

Step-by-step explanation:

why

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Answer:

Step-by-step explanation:

Math nerds, algebros?

A chef uses 7
7
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Choose the equation that models the situation, where
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n
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Answers

Answer:

t=7n

because for 1 batch is 7 cups so let's say you made 3 batchs 3*7= 21 cups.

The correct equation that models the situation is t = 7n. Hence option 4 is true.

Given that;

A chef uses 7 cups of tomatoes per batch to make pasta sauce.

Let us assume that;

t represents the number of cups of tomatoes.

And, n represents the number of batches of sauce.

Hence the equation that models the situation is,

t = 7n

Therefore, option 4 is true.

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Answers

Answer:

Step-by-step explanation:

If the two pieces of tape are truly placed end-to-end, there will be no tape at the joint to connect the two pieces.  In the real world, one of the 56 m pieces will have to overlap one end of the other piece to make up a single new piece of tape whose length must be a little less than 2(56 m), or a lilttle less than 112 m.  There is no one specific correct answer because the experimenters vary in how much tape overlap to allow.

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GUESSS WHO'S REPEATING HER REQUEST, LET'S GOOOO HEYOOOOOO, HELLOOOO, PLEASE LOOK HERE, HELP NEEDED, LIKE NOW LOLOLOL Factor this expression completely, then place the factors in the proper location on the grid.
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Answers

Answer:

(3x-2y)(9x²+6xy+4y²)/216

Step-by-step explanation:

Find the equation of the line that goes through the points (4, –1) and (2, –5).
Use slope formula,m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction,to find the slope of a line that passes through the points.
m =
Use slope-intercept form, y = mx + b, to find the y-intercept (b) of the line.
b =
Write the equation in slope-intercept form, y = mx + b.

Answers

Answer:

y= 2x -9

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]\boxed{slope = \frac{ y_{1} - y_2}{x_1 - x_{2}} }[/tex]

Slope

[tex] = \frac{ - 1 - ( - 5)}{4 - 2} [/tex]

[tex] = \frac{ - 1 + 5}{2} [/tex]

[tex] = \frac{4}{2} [/tex]

= 2

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Answers

Answer:

73

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7.23

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Answer:

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Answers

Answer:

Sam = 6 years

Linda = 22 years

Step-by-step explanation:

this is best solved by using an algebraic equation

let Sam's age be x

let Linda's age be 4x

now that we defines our variables let's make an algebraic equation

the sum of their ages is 28 so

4x + x = 28

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5x = 28

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x = 28÷ 5 = 5.6 (don't approximate yet let's take the raw age)

Sam is 5.6 years

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4 × 5.6 = 22.4

Linda is 22.4 years

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22.4 ~ 22 years

let's double check and add our answers now

22 + 6 = 28

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Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

akiko sells 5 small paintings and 5 large paintings .Each large painting cost $20 more than a small painting .she earns $300. what is the price of a small painting

Answers

Answer:

$20

Step-by-step explanation:

small painting: x

large painting: x + 20

5(x + x + 20) = 300

5(2x + 20) = 300

10x + 100 = 300

10x = 200

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Answer: $20

Heather and her friends are painting the
walls of a storage room in the basement.
Each wall is 9 m long and 2 m high. There
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B) the price of the paint is $3.75/L. How much will the paint cost?

Answers

Answer:

a) 6.8 L, b) $25.50

Step-by-step explanation:

Find the area to be painted:

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68/10 = 6.8 L

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Answers

Answer: inverse operation, subtraction

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If you mean this: How to solve multiplication property of equality?

Multiplication Property of Equality

For all real numbers a, b, and c: If a = b, then a • c = b • c (or ab = ac).

I hope this is right :)

6 (x + 2)^12 - 8 = 64

Answers

i think the answer is x=-1
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