Mathematics High School

What is the domain of the function?
X+6
f(x)=(x-7)(x+5)
A all real numbers except 7
Ball real numbers except 5 and -7
Call real numbers except -5 and 7
D all real numbers

Answers

Answer 1
I got a domain and range of:
(
−
∞
,
5
)
∪
(
5
,
∞
)
, or
x
≠
5
(
−
∞
,
1
)
∪
(
1
,
∞
)
, or
y
≠
1
The function is undefined for
x
values when the denominator,
x
−
5
, is
0
; it's undefined to divide by
0
. Therefore, when
x
=
5
,
f
(
x
)
is undefined.
f
(
5
)
=
5
+
7
5
−
5
=
12
0
Since the domain is based on the allowed values of
x
, the domain is:
(
−
∞
,
5
)
∪
(
5
,
∞
)
Based on the domain, we would find the range by solving for
x
in terms of
f
(
x
)
, which we will write as
y
=
f
(
x
)
.
y
=
x
+
7
x
−
5
y
(
x
−
5
)
=
x
+
7
x
y
−
5
y
=
x
+
7
x
−
x
y
=
−
5
y
−
7
x
(
1
−
y
)
=
−
5
y
−
7
x
=
−
5
y
−
7
1
−
y
x
=
5
y
+
7
y
−
1
This means when
y
=
1
, the function is undefined as well. So, the range is:
(
−
∞
,
1
)
∪
(
1
,
∞
)
You can see that this is the case in the graph itself:
graph{(x + 7)/(x - 5) [-73.3, 74.9, -37.07, 36.97]}
What you should notice is the horizontal asymptote at
y
=
1
, and the vertical asymptote at
x
=
5
.
Because the function is trying to reach an undefined value at those points (
x
≠
5
,
y
≠
1
), you get these "walls" that cannot be crossed, only ascended or descended from either side.
Answer 2

The required domain of the function is all real numbers except -5 and 7. Option C is correct.

Given that,
f(x) = (x + 6)  /[(x-7)(x+5)]

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given function,
f(x) = (x + 6)  /[(x-7)(x+5)]
We can put any real number on the number line except 7 and -5, because at these value function gives the value as infinity.

Thus, the required domain of the function is all real numbers except -5 and 7. Option C is correct.

learn more about function here:

brainly.com/question/21145944

#SPJ5

Related Questions

twice a number x, minus 17

Answers

Answer:

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Step-by-step explanation:

Twice a number x means x times 2, which can be written as 2x

Minus 17 from 2x

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Answers

x=3

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Step-by-step explanation:

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Which expression is equivalent to ( xy -6)2 for all values of x and y where the expression is defined?

Answers

Answer:

 ( x y -6)²  =  x² y² - 12 xy + 36            

Step-by-step explanation:

Explanation:-

Given that the expression ( x y -6)²

Apply formula (a-b)² = a² -2ab + b²

( x y -6)² = (xy)² - 2 × xy× 6 + (6)²

             = x² y² - 12 xy + 36

( x y -6)²  =  x² y² - 12 xy + 36            

Answer:

xy^36

Step-by-step explanation:

Question 6: How many miles are there in 4 kilometers?Hint: 1 km 0.6 mi
Round your answer to the nearest tenth.
O 24
O 2.4
2.40
24.0

Answers

Answer:

B

Step-by-step explanation:

C would also be the correct answer but its not rounded to the nearest tenth.

Which has a unit price of $4.121case?

A. 3 cases for $12.57
B. 4 cases for $16.44
C. 5 cases for $21.25
D. 6 cases for $24.72

Answers

Answer:

D

Step-by-step explanation:

$24.72 divided by 6 = $4.12

The answer to your problem would be D

Water flows from a pipe at a rate of 4 feet per second. How many feet will it flow in 20 seconds?

Answers

the answer is 80 i did this

The perimeter of a rectangular jewelry store is 244 feet. It is 49 feet wide. How long is it?

Answers

Answer:

195ft

Step-by-step explanation:

244-49=195

Enter the number that makes the equation true

Answers

Answer:

8.1

Step-by-step explanation:

HELP I NEED HELP ASAP

Answers

the answer is for your question is B

Which rule describes the composition of transformations that maps figure ABCDE to figure A" B" C" D" E"?​

Answers

Answer:

It would be the fourth choice.

Step-by-step explanation:

To get ABCDE to A'B'C'D'E', you need to reflect the shape across line M. Then to go from A'B'C'D'E' to A''B''C''D''E'', you need to rotate about point C 180⁰.

It was first reflected across the x axis which would be line m. And since point c is the same place for the two bottom images , after the reflection it was rotated on point c.

The answer should be the 4th choice

2. Ajar contains 10 marbles, 6 marbles are red, and 4
marbles are blue. If 2 marbles are chosen one at a time
without replacement, what is the probability that the first
marble will be blue and the second marble will be red?
A: 3/16 B: 6/25 C: 1/8 D : 12/45
Independent or Dependent:
Final Answer:

Answers

Answer:

A

Step-by-step explanation:

Note that there are 16 total marbles. A is simply a set of sequential events. On the first, you have 10/16 chances to draw a red. Supposing this red is not replaced, the chance of drawing a second red will be 9/15; therefore, the probability of A is (10/16) * (9/15) = 0.375. Event B is translated into 2 events: Blue + (White or Red) or (White or Red) + Blue. The probabilities of each of these events, added together would be (2/16) * (14/15) + (14/16) * (2/15) = 0.2333333333; therefore, A is more probable.

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Answers

Answer:

1530 cubic cm

Step-by-step explanation:

(18*4*10) + (9*9*10) = 1530

PLEASE HELP ME IF YOU GET IT RIGHT THEN I WILL GIVE YOU BRAINLIEST JUST HELP ME I BEG OF YOU

Answers

Answer: Jody can buy at most 63 sheets of paper

Step-by-step explanation:

you would start by subtracting $18.25 from the total $40, which leaves you with $21.75

you then do 21.75 ÷ (divided by) 0.34

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PLS I NEED HELP I ONLY HAVE 15 MINS I BEG YOU PLEASE!! :(
In the year 1984 the average American used to eat 55.7 pounds of chicken. This was 2.8 pounds more than the the year 1982 average. By what percent did chicken consumption increase from the year 1982 to the year 1984?

Answers

To solve this, we need to use the z statistic. The formula for z score is:

z = (x – u) / s

where x is sample value = less than 90, u is the sample mean = 90.6, s is the standard deviation = 17.2

z = (90 – 90.6) / 17.2

z = -0.035

From the standard distribution tables:

P (z = -0.035) = 0.4860

Therefore there is about 48.60 % chance that it will be less than 90 pounds

Answer:

I think it increased by 0.05.

Step-by-step explanation:

If you subtract 2.8 from 55.7 you'll get 52.9. So I would divide 55.9 by 52.9 and get 1.05. I then would subtract 1.0

Segment A'B' is parallel to segment AB.
What is the length of segment AB?

Answers

Answer:

7.5

Step-by-step explanation:

5/6=x/9

cross multiply

6x=45

x=45/6

x=7 3/6 = 7 1/2 = 7.5

A function is shown
f(x)=2/3x+3 what is the value of f(12)

Answers

Answer:

11

Step-by-step explanation:

f(12) = 2/3x+3

So, replace x with 12.

2/3(12) + 3

2/3 x 12 = 8

8 + 3 = 11

Do anyone know this answers

Answers

Answer:A. 20 B. 70 C.20 D. 70 E. 70

Step-by-step explanation:

Hope this helps!

a:20
b:70
c:20
d:70
e:110

Step by step:

E + 70 = 180 thus, E = 110

A + 70 = 90 thus, A = 20

A + B = 90 thus, B = 70; because A would be equal to 20

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can i have some help pls on this question i have loads
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Answers

Answer:

Enter the width of the longest long axis, AB, and the length of the longest short axis, CD. Then, click on Calculate. The circumference is in whatever designation of units you have used for the entries. The formula is PI * SquareRoot of 2 * ((1/2 long axis)squared + (1/2 short axis)squared).

Step-by-step explanation:

jayfeather friend me

3.06

Answer:

3.06 i think

Step-by-step explanation:

what is the equation of the following? Someone could help me to understand this? thank you​

Answers

Answer:

y=(1/5)x

Step-by-step explanation:

First, we must find the slope of the line.

The slope of a line can be found using the formula: (y2-y1)/(x2-x1)

(3-0)/(15-0)

(3)/(15)

1/5

The slope is 1/5.

Next we find the y-intercept, or where the line crosses the y-axis. In this case, the y-intercept is 0.

This gives us the equation: y=(1/5)x

Let me know if this helps!

which equation represents the line that has a slope of 4 and passes through the point (2, 7)?
(A) y = 4x - 1
(B) y = 4x + 15
y=x+4
D y =
= 2x-4

Answers

Answer:

A) y = 4x - 1

Step-by-step explanation:

y = mx + b

y = 4x + b

7 = 4(2) + b

7 = 8 + b

-1 = b

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Select the possible dimensions of a rectangular prism with the volume of 72 m3.

2 m x 6 m x 7 m
3 m x 4 m x 6 m
3 m x 8 m x 4 m
9 m x 8 m x 1 m
12 m x 2 m x 3 m

Answers

Answer:

3m×4m×6m

9m×8m×1m

12m×2m×3m

Step-by-step explanation:

Just multiply the different values

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Answers

hank is thinking about 7
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Answers

Answer:

The slope is 1/2

i believe

Step-by-step explanation:

Use the rise/run method

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Answers

7 √2.

Step-by-step:

I used the Pythagorean theorem.
Then I simplified √98 to 7 √2.

It takes 4 pounds of apples to make 6 cups of applesauce.

Select all the rates that are equvalent to the rate in the statement above.

Group of answer choices

5:7

10:15

6:9

1:2

14:21

8:10

Answers

Answer:

Step-by-step explanation:

4lbs of apples to 6 cups of apple sauce

we can write this as 2:3

the correct choices: 6:9 and 14:21

Pls help me this was due a long time ago ❤️

Answers

Answer:

between 2014 and 2015

Step-by-step explanation:

Solve the system of linear equations by substitution. y=2x-3 y=-x+9

Answers

Answer:

x=4, y=5. (4, 5).

Step-by-step explanation:

y=2x-3

y=-x+9

----------

2x-3=-x+9

2x-(-x)-3=9

2x+x=9+3

3x=12

x=12/3

x=4

y=2(4)-3=8-3=5

please help

please help








​

Answers

Answer: 72/48 unless you have to simplify which would be 3/2 or do you want decimal?

Step-by-step explanation:

trigonometry problem​

Answers

Answer: -3π/2

Step-by-step explanation:

The unit circle is tricky, but here are some things to know:

When measuring angles, you usually move in the counter-clockwise direction. If you are moving clockwise (like shown in your picture), the angle will be negative. The unit circle is typically measured in radians, not degrees

              - To convert from radians to degrees, multiply by 180/π

              - To convert from degrees to radians, multiply by π/180

The whole unit circle measures 2π (360 degrees). This means that the positive x-axis can be referred to as 0 or 2π, the positive y-axis is referred to as π/2, the negative x-axis is referred to as π, and the negative y-axis is referred to as 3π/2.

              -If the angle is negative, switch the signs of the axis above.

The information above is all you need to answer the above question, but if you want/need anything else on the unit circle, just let me know.

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