the domain of y=log(9-x^2),xER, is

Answers

Answer 1

Step-by-step explanation:

log(z) is defined when z > 0.

For log(9 - x²) to be defined, we have 9 - x² > 0.

=> x² < 9, -3 < x < 3.

The domain of y = log(9 - x²) is (-3,3).


Related Questions

frank has an eraser. it has a mass of 4g and a volume of 2cm3 what is the density?​

Answers

Answer:

2 g/cm^3

Step-by-step explanation:

Need hellllp ASAP!!!!!!!

Answers

Answer:

d

Step-by-step explanation:

11×17=187

i rounded both of the numbers to whole numbers and then multiplied them. i hope that's what they meant :)


Work out 97.974436÷14and give your answer to 2 decimal places.​

Answers

Answer:

7

Step-by-step explanation:

97.974436/ 14= 6.998174

round to 2 decimal places by looking at the third digit after decimal and is 8 that is greater than 5 so will round up the second digit after the decimal

But, that will make 9 a 10 so we have to make the number 7

Anna mixes purple and pink dye to create lavander. For every 8 tsp of purple dye, Anna adds 3 tsp of pink dye. Which statement about the relationship between the purple dye and pink dye is true

Answers

Answer:

8 tsp purple : 3 tsp pink

Step-by-step explanation:

To measure the length of the pond, Jacob marked off congruent triangles as shown in the diagram.

How does he know the lengths of AB and XY are equal?

A. AAS and then corresponding parts of congruent triangles are congruent

B. SSS and then corresponding parts of congruent triangles are congruent

C. SAS and then corresponding parts of congruent triangles are congruent

D. ASA and then corresponding parts of congruent triangles are congruent

Answers

Answer:

B

Step-by-step explanation:

Need help with this!!!

Answers

Answer:

I'm gonna say 4 because 6 divided by 3 is 2

y=5/3x+1.33 in standard form

Answers

Answer:

500 x − 300 y  = − 399

Step-by-step explanation:

This should be the answer

Answer:

−300Y + 500x = −399

Step-by-step explanation:

Factor the binomial: x^2 - 8x

Answers

Answer:

x2+8x+15=(x+5)(x+3)

Step-by-step explanation:

Trinomials have the form: ax2+bx+c. When factoring trinomials where a=1

Answer:

x(x - 8)

Step-by-step explanation:

First, factor out an x from both terms:

x² - 8x

x(x - 8)

So, the factored form of the binomial is x(x - 8)

[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• -3 1/2

[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• opposite of –5

Answers

Answer:

Positive 5.

Step-by-step explanation:

Opposite of negative 5 is positive 5.

The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.

Answer:positive 5

Step-by-step explanation:

If we already know that XY=WZ, which additional fact would prove that quadrilateral WXYZ is a parallelogram?

Answers

Answer:

WX=ZY would prove that the quadrilateral WXYZ is a parallelogram

Step-by-step explanation:

The additional fact that would prove that quadrilateral WXYZ is a parallelogram is '' XY = YZ''.

Given

If we already know that XY=WZ,

What is parallelogram?

A Parallelogram is a four-sided quadrilateral whose opposite sides are parallel and congruent to each other.

The opposite angles of a parallelogram are equal.

These bisectors intersect each other at 90 degrees.

And it means that they are perpendicular.

Since they are perpendicular, we find that there 4 congruent triangles, XY is parallel to WZ, and WX is parallel to YZ.

Additionally, opposite angles are equal.

These two latter findings are the characteristics of the parallelogram.  

Hence, the additional fact that would prove that quadrilateral WXYZ is a parallelogram is '' XY = YZ''.

To know more about Parallelogram click the link given below.

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Write the equation of the graphs which have m=2, c = 1

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

formula for equation of graph:

[tex]y = mx + c[/tex]

substitute m = 2 and c = 1 into the equation

[tex]y = 2x + 1[/tex]

Step-by-step explanation:

please see it my step work solution

If x = -5, which inequality is true?

A. -4 - 3x > 7

B. -2 - 6x 14

D. 7 - x < 6

Answers

Answer:

A

Step-by-step explanation:

Its A because -4 - 3x > 7 because -1 - 7 is -6 but u have to - 1 because of the negative signs

Find y.
A. 6
B.2
C.7
D.4

Answers

Answer:     HOPE THIS HELPS GOD BLESS  PLEASE TOUCH THANKS

C.8

 Step-by-step explanation:

A.) what is the domain?
B.) what is the range?
C.) is this relation a function?

Answers

Answer:

The Domain is the set of all points over which a function is defined.

The range is the set of values the function takes on as output.

What is the approximate value of Log Subscript 6 Baseline 25?

Answers

Answer:

D.1.796

Step-by-step explanation:

Edge 2021

The required value of Log Subscript 6 Baseline 25 is 1.796.

Value of Log Subscript 6 Baseline 25 is to be determine.

What is simplification?

In mathematics, using mathematical operators execute the mathematical expression.

Here,

[tex]=log_625\\= log_e25/log_e6\\[/tex]

= 1.796

Thus, the required value of Log Subscript 6 Baseline 25 is 1.796.

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Solve the system of equations 4x + y = 8 and 5x + 2y = 13 using any method.

Answers

Answer:

x=1, y=4 or (1,4)

Step-by-step explanation:

Step-by-step explanation:

4x + y = 8

-4x -4x

y = -4x+8

5x + 2y = 13

-5x -5x

2y/2 = -5x/2 + 13/2

y = -5/2x+13/2

Can you help me

(1). If f(x)=|x−5|+3, find f(2).


11


6


4


0

(2). If f(x)=8−3|x+2|, find f(−6).


−16


−4


4


20

(3). What is the turning point of the graph of f(x)=|x−2|+3?


(2, −3)

(2, 3)

(−3, 2)

(3, 2)

Answers

(1).

f(x) = |x − 5| + 3

f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6

(2).

f(x) = 8 − 3|x + 2|

f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 −  12 = − 4

(3).

For f(x) = |x − h| + k the turning point is (h, k), so:

f(x) = |x − 2| + 3   ⇒  the turning point is: (2, 3)

The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

1) The function is,

⇒ f(x) = |x−5| + 3

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

3) The function is,

⇒ f(x) = |x−2| + 3

Now,

1) The function is,

⇒ f(x) = |x−5| + 3

Put x = 2;

⇒ f (2) = |2 - 5| + 3

⇒ f (2) = 3 + 3

⇒ f(2) = 6

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

Put x = - 6;

⇒ f (- 6) = 8 - 3 |- 6 + 2|

⇒ f (-6) = 8 - 3 × 4

⇒ f(-6) = 8 - 12

⇒ f (- 6) = - 4

3) The function is,

⇒ f(x) = |x−2| + 3

We know that;

Turning point of the function f (x) = |x - h| + k are (h, k)

So, By comparing we get;

The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).

Thus, The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

Learn more about the mathematical expression visit:

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Let the area of a rectangle in square metres is
[tex] {x}^{2} + 13x + 42[/tex]
How much longer is the length than the width of the rectangle?
A. 7m
B. 8m
C. 1m
D. 6m

Answers

Answer:

C)1m

Step-by-step explanation:

So the length and width is

x²-13x+42=0

(x-7)(x-6)=0

x-7=0

x-6=0

x=7 (length)

x=6 (width)

So the difference between length and width is

=7-6

=1m

Answer:

[tex]C.1\ m[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Area\ of\ the\ rectangle=x^2+13x+42\\Hence\ lets\ factorize\ this\ area\ completely:\\x^2+13x+42\\=x^2+6x+7x+42\\=x(x+6)+7(x+6)\\=(x+7)(x+6)\\Hence,\\Area\ of\ the\ rectangle=(x+7)(x+6)\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Area\ of\ a\ rectangle=lw\\Here,\\lw=(x+7)(x+6)\\Hence,\\l=(x+7),w=(x+6)\ or\ l=(x+6),w=(x+7)\\But\ generally\ the\ length\ of\ a\ rectangle\ is\ greater\ than\ it's\ width.\\Hence\ the\ first\ solution\ is\ suitable\ here.\\[/tex]

[tex]Hence,\\l=(x+7),w=(x+6)\\Hence\ in\ order\ to\ find\ the\ difference\ between\ the\ length\ and\ width\\ we\ must\ perform\ the\ operation :l-w\\Hence,\\(x+7)-(x+6)\\=x+7-x-6\\=1\ m[/tex]

Help asap it’s math and I’m not sure about this one

Answers

Answer:

1/2

Step-by-step explanation:

please help for gods sake,,,

Answers

Answer:

Step-by-step explanation:

for the table you just add 45 to all the numbers, so it will be 135, and 270

you will just have to graph that.

Answer:

$90 to rent and 15$ per guest. equation is y=15x+90. initial value is 90, rate of change is 15.

Step-by-step explanation:

7/4 rounded to the nearest hundredth.

Answers

Answer: 7.40

Step-by-step explanation:

since there is no number after 7 you gotta go backwards, so you have to turn it into a decimal

A student found out that 8% ofthe students in his school are left-handed.If there are 114 lefties, how many students are in his school?

Answers

Answer: 1,425 students

Step-by-step explanation: This is easy to solve using proportions/

114/8 = ?/100

First, you cross multiply (or whatever this is called sry) 100x114=11400

Then divide 11400÷8=1,425

HELP!! (30 points) and brainlist

Answers

1. 5.5 feet = 66 inches
2. 56.75 pounds = 908 ounces

Answer:

5.5 feet is 66 inches. and 56.75 pounds is 908 ounces

Step-by-step explanation:

Hope this helped you!! Give brainliest

Simplify the expression.

StartFraction negative 44.288 minus 31.6 over negative 3.1 (6 minus 1.2) EndFraction

Answers

Answer:

5.1

Step-by-step explanation:

A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 56 had a mild allergic reaction. What percent of the people had a mild reaction?​

Answers

Answer: 0.007%

you divide 56% by 8,000 and you get 0.00007

then you multiply it by 100 and you get 0.007

so its 0.007%

13. Write an equation in slope-intercept form for the line that passes through the point (-3,5) and is parallel to the equation y = -1/2x + 4​

Answers

(5- -6) is the answer

At a certain high school, about one in every 12 students have natural red hair. If a teacher has 179 students, how many students would they expect to have red hair?​

Answers

Answer:

look up alaskan pipeline

Step-by-step explanation:

What expression is equivalent to (2a - 7) + 5(3 - a)

Answers

Answer:

Step-by-step explanation:

2a-7+15-5a

2a-5a-7+15

-3a+8

The expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given an expression as;

(2a - 7) + 5(3 - a)

Therefore, solving it further;

2a-7+15-5a

Combine the like terms;

2a-5a-7+15

Then we get;

-3a+8

Hence, the expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8

To know more about an expression follow;

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Given a+2 when a=5 I need help

Answers

Answer:

The answer to this is 7.

a+2

5+2

7

The answer would be 7 so the top person is right :)

Shannon graphed the system of equations. 7x – 4y= –8 y = y equals StartFraction 3 over 4 EndFraction x minus 3.x – 3 A coordinate grid with 2 lines. The first line passes through (0, negative 3) and (negative 4, negative 6). The second line passes through (0, negative 2) and (negative 4, negative 6). The lines appear to cross at about negative 5 and between negative 6 and negative 8.What of the following best describes the geography English colonists found when they first began to arrive in North America?

Answers

Answer:

its (-5 -5.9)

Step-by-step explanation:

i got id right on edg

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