f(x)=-2x^2+14/x^2-49 which statement describes the behavior of the graph of the function shown at the vertical asymptotes?
Answers
Answer:
Option 3 :
x → 7+, y → –[infinity]
Step-by-step explanation:
f(x) = (-2x² + 14)/(x² - 49)
x² - 49 = (x + 7)(x - 7)
Hence f(x) goes to infinity at x = - 7 or 7
x < - 7 = (-ve)(-ve) = + ve
=> x → –7–
Here, x² - 49 is + ve
-7 < x < 7 = (+ve)(-ve) = - ve
=> x → –7+ or x → 7– .
here, x² - 49 is - ve
x > 7 = (+ve)(+ve) = + ve
=> x → 7+
Here, x² - 49 is + ve
So (-2x² + 14) is - ve for all [ x → –7– , x → –7+ , x → 7– , x → 7+ ]
As,
-2(-7)² + 14 = -84 and -2(+7)² + 14 = -84
x → –7– = (-ve)/(+ve)
=> y → -[infinity].
x → –7+ or x → 7– = (-ve)/(-ve)
=> y → [infinity]
x → 7+ = (-ve)/(+ve)
=> y → -[infinity].
x → 7+, y → –[infinity]. is the correct option
The statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.
What is a function?It is defined as a spceial type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a rational function:
[tex]\rm f(x) =\dfrac{-2x^2+14}{x^2-49}[/tex]
x² - 49 cannot be zero:
x² - 49 ≠ 0
x ≠ 7, x ≠ -7
From the graph, as x approaches 7 from the left, y approaches -∞
Thus, the statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Related Questions
Remember that whole numbers that are next to each other, for example, 2 and 3, or 43, 44, and 45 are called consecutive numbers.
If n is the larger of two consecutive numbers, write an expression for the other number.
Answers
Given:
Whole numbers are next to each other and they are called consecutive numbers.
To find:
The expression for the other number if the larger of two consecutive numbers is n.
Solution:
According to the given definition, whole numbers are next to each other and they are called consecutive numbers. It means the difference between two consecutive interest is 1.
Larger number - Small number = 1
[tex]n-\text{Smaller number}=1[/tex]
Add smaller number on both sides.
[tex]n=1+\text{Smaller number}[/tex]
Subtract 1 from both sides.
[tex]n-1=\text{Smaller number}[/tex]
Therefore, the expression for the other number is n-1.
Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting f(x)=(x+3)^3-2
Answers
If you voted for joe bieden give me thanks and brainliest
Answers
Answer:
I voted JOE BIDEN if you didn't your racist that's all
JKL and LMN are shown.
What is m
Answers
Answer:
<KJL is 54.
Step-by-step explanation:
K=72
180-72=108
J and L are congruent, so 108/2 since there is 2 angles, 108/2 =54
KGL is 54.
The measure of ∠KJL = 54°
What is triangle?
A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given are triangle JKL and triangle LMN.
∠KJL = ∠KLJ
In ΔJKL -
72 + 2∠KJL = 180
2∠KJL = 108
∠KJL = 54°
Therefore, the measure of ∠KJL = 54°.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ5
W- 33 = 66 what is W
Answers
w is equal to 99 cause is u subtract 33 fro it it equals 66
Answer:
W = 99
Step-by-step explanation:
To solve W, you need to isolate W. Add 33 to both sides:
W-33=66
W=99
A researcher wishes to estimate the proportion of all adults who own a cell phone. He takes a random sample of 2000 adults; 1650 of them own a cell phone. The population of interest to the researcher is:______
Answers
Answer:
All the adults
Step-by-step explanation:
The question says that the researcher wants to estimate all adults that own a cell phone.
So the population of interest is all the adults.
The statistic is the proportion p^ of the random sample of 2000 adults;
P^ = 1650/2000
= 0.825
The parameter of interest in the question is p, which is the proportion of those adults that own a cell phone.
ILL GiVE bRAINLIEST FOR GOOD AWNSER!!!
How does the impulse above change if he doubles the amount of time that his foot is in contact with the ball?
Answers
Answer:
it would double to 100n
Estimate the following sum by first rounding each decimal to the nearest hundred. Is the answer 800?
Answers
An electric company charges each of its customers a monthly fee of $19 to maintain the account and nine cents per kilowatt hour what is an equation that relates the monthly cost c in dollars of power consumed P in kilowatt hours 
Answers
Answer:
c = 19 + 0.09P
Step-by-step explanation:
The total cost is the $19 monthly fee plus the amount per hour.
c = 19 + 0.09P
Convert the binary number 11011010 to decimal.
Answers
Answer:
218
Step-by-step explanation:
im not sure im sorry in advance if im not
128+64+0+16+8+0+2+0=218
write an equation of the line that passes through the given point is a parallel and B perpendicular to the given line (4,3)
Answers
Answer:
I need more information to solve
Step-by-step explanation:
Find the slope of the line that passes through 1,3 and 3,9
Answers
Have a blessed day!
HELP..... Use the figure to determine the intersection of planes EAB and BDH
Answers
Simplify the following radical:
84
Answers
Answer:
±2√21.
Step-by-step explanation:
First, you break 84 down into √4⋅√21.
That is equal to ±2√21.
Hope I helped! Please mark Brainliest!
Answer: 2√21
The answer is 2 radical 21
Step-by-step explanation:
A holiday decoration involves blue and white lights the ratio of blue lights to white lights is three to two the box the decorations came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.
A) What is the ratio of the number of blue lights to the total number of lights?
B) If the total number of lights is represented by the variable t, create a proportion that you can use to solve for t and solve it.
Answers
The ratio of the number of blue lights to total lights is 3:5
The total number of lights is 190
How to solve for the ratioTo solve the problem we need to have the ratios out first.
we have a ratio of blue to white lights as
3 : 2
The ratio of the number of blue lights to white lights would be
114 : x
Such that we would have
3:2 = 114:x
This would give us
[tex]\frac{3}{2 } =\frac{114}{x}[/tex]
We would have to solve for the value of x
To do this we are to cross multiply
3*x = 114*2
3x = 228
x = 228 / 3
= 76
ratio = 3 + 2 = 5
3 : 5
The proportion that can be used to solve for t is given as 114 : 3 = 38
38 x 5 = 190
or 114 + 76 = 190
Read more on ratios and proportions here: https://brainly.com/question/12024093
#SPJ1
Find the value of 6.8 +9.2
Answers
Answer:
16
Step-by-step explanation:
6.8
+9.2
______
16
Hope I helped!
Answer:
16
Step-by-step explanation:
A C B, X Z Y
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement.
If no, justify your answer.
Answers
Answer:
Yes.
∆CAB ≅ ∆XYZ by AAS Congruence Theorem.
Step-by-step explanation:
There's enough information provided in the diagram above for us to prove that ∆CAB is congruent to ∆XYZ.
From the diagram, we cam observe the following:
<A ≅ <Y
<B ≅ <Z
side CA ≅ XY
Using the Angle-Angle-Side (AAS) Congruence Theorem, since two angles, <A and <B, and a non-included side, CA, in ∆CAB are congruent to two the corresponding angles, <X and <Z, and a non-included side, XY, in ∆XYZ, then ∆CAB is congruent to ∆XYZ.
Multiply and simplify the product. (8 – 5i)2 Select the product. 39 89 39-80i 89-80i
Answers
Answer:
39 - 80i
Step-by-step explanation:
(8 - 5i)²
= (8 - 5i)(8 - 5i) (expand using FOIL. See attached for reference)
= (8)(8) + (8)(-5i) + (-5i)(8) + (-5i)(-5i)
= 64 - 40i - 40i + 25i²
= 64 - 80i + 25i² (recall that i² = -1)
= 64 - 80i + 25(-1)
= 64 - 80i - 25
= 39 - 80i
The result is 39 - 80i
What is an expression?Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.
Given expression,
(8 - 5i)²
And the expression is in quadratic form.
We solve the expression using quadratic formula;
(a-b)² = a²-2ab+b²
Now,
(8 - 5i)²
= 64 + 25i² - 80i
= 64 - 25 - 80i
= 39 - 80i
Therefore, the result is 39 - 80i
To learn more about the expression;
brainly.com/question/24242989
#SPJ6
7th grade math help me pleaseee
Answers
Answer:
Hope this helped C:
Step-by-step explanation:
a) 149
b) 112
c) 18
d) -8 you subtract -14 from -22
e) -3.3 you subtract -2.8 from -6.1
f) -0.16
convert the fractions to decimals and then add 0.3(3/10) and -0.46(7/15)
A) 75 and 105
B) 40 and 40
C) 65 and 115
D) 56 and 56
Answers
Answer:
d
Step-by-step explanation:
Answer:
D) 56 and 56
Step-by-step explanation:
we can see that in this case, the two given angle are actually alternate angles (see attached for reference)
Which means their values are the same, i.e
-8x+8 = -6x+20 (add 6x to both sides)
-8x + 8 + 6x = 20
-2x + 8 = 20 (subtract 8 from both sides)
-2x = 20 - 8
-2x = 12
x = -6 (substitute this back into either expression )
-8x+8
= -8(-6)+8
= 48+8
= 56 (answer)
We can do a sanity check by substituting x = -6 into the other equation and verify that both angles are indeed the same
-6x+20
= -6(-6)+20
=36+20
= 56 (same as other answer)
PLEASE HELP Which of the following is false about the Y intercept
A. The Y intercept is when X=0
B. You can have a maximum of 1 intercept for a function
C. The form of the Y intercept is (0,y)
D. The from of the intercept is (y,0)
Answers
The form of the y-intercept is (0,Y). Remember that x comes first in an ordered pair and y comes second.
Hope this helps!
When x = 19,
y = 209. Find
the value of x
when y = 143.
Answers
Answer:
13
Step-by-step explanation:
19=209
?=143
19*143
=2717
2717/209
=13
if n = 4, preal =0.80 in the direction predicted, and a = 0.051 tail, using the sign test, the power is:______
Answers
Answer:
0.0000
Step-by-step explanation:
The sign test can be defined as a statistical method which can be used to test for consistent differences that are in existence between pairs
Now If N is 4, Preal is 0.80 in the predicted direction, and this is a 0.05 1-tail. Using the sign test, the power is going to be 0.0000.
The Answer is :
power = 0.0000
Solve the following equations for the unknown variable.
1. 4(3 – 2.r) = 7(6x + 1), 2 =
2. 5 (2n + 4) = 2 (4n – 1), n
n=1
3. 4(4.c - 2) = 2 (6.0 + 2), 1 =
4.5n - (3n + 2) = 14, n
5. 40 = 16 - 4(9 – 3.0), ..
6.5n+ 2 (An - 5) = 29, n =
Helppppp
Answers
Answer:
4
Step-by-step explanation:1.trust me
2.it will be it
3.just do it
help me solve this please!
Answers
Answer:
Step-by-step explanation:
30°-60°-90° k-k√3-2k
y =9√3
x=18
Answer: The value of x is 18 and the value of y is 9√3.
Step-by-step explanation:
1. 30°-60°-90°
2. k-k√3-2k
Which of the following sequences of transformations is used to obtain figure T′U′V′W′ from TUVW? (4 points)
a
Reflection about the y-axis followed by a translation left by 2 units
b
Reflection about the x-axis followed by a translation left by 2 units
c
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
d
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
Answers
Answer: a (reflection over y-axis, followed by a translation of 2 units left)
Step-by-step explanation:
Round the following numbers to 1 significant figure:
a)0.08351
Answers
Answer:
Step-by-step explanation:
0.08
write the slope-intercept form of the equation of each line. identify the slopes y-intercept.
Answers
Answer:
1) -3,1
2)-4,4
3)4,4
4)-3,4
5)-2,-4
6)-4,1
7)-1,4
8)3,-3
The library charged Monica $50 for a book that was 10 days overdue
Answers
The snow is now 52 inches deep. If this was a 77%
decrease, what was the initial depth
Answers
Answer:
29.3785310734 is the exact answer but you can estimate
Step-by-step explanation:
Let’s say the initial depth was 100%.
A 77% decrease would mean that 77% of the 100% was added to the hole so then it final result would be 177% of the initial hole which is also 52 as given. 177% is the same as 1.77 so we would divide 52 by 1.77 to get that x = 29.3785310734. Still confusing? Just look here:
