Given:
The function is:
[tex]f(x)=\dfrac{x+4}{x^2-25}[/tex]
To find:
The values that are NOT in the domain of the given function.
Solution:
We have,
[tex]f(x)=\dfrac{x+4}{x^2-25}[/tex]
This function is a rational function and it is defined for all real values of x except the values for which the denominator is equal to 0.
Equate the denominator and 0.
[tex]x^2-25=0[/tex]
[tex]x^2=25[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{25}[/tex]
[tex]x=\pm 5[/tex]
So, the values [tex]x=-5,5[/tex] are not in the domain of the given function.
Therefore, the correct option is D.
The table shows a linear relationship between x and y.
х
у
-20
96
-12
60
-6
33
-2
15
What is the rate of change of y with respect to x?
Answer:
[tex] -\frac{9}{2} [/tex]
Step-by-step explanation:
Rate of change of x and y can be calculated using the following formula and using any two given pair of values from the table:
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Using (-12, 60) and (-6, 33).
Where,
[tex] (-12, 60) = (x_1, y_1) [/tex]
[tex] (-6, 33) = (x_2, y_2) [/tex]
Plug is the values
Rate of change = [tex] \frac{33 - 60}{-6 -(-12)} [/tex]
Rate of change = [tex] \frac{-27}{6} [/tex]
Simplify
Rate of change = [tex] \frac{-9}{2} [/tex]
Rate of change = [tex] -\frac{9}{2} [/tex]
Multiply: 3x⎯⎯⎯⎯√·6y⎯⎯⎯⎯√
.
Answer:
l
Step-by-step explanation:
Select the correct answer.
What is the solution to this equation?
log3 (4x) – 2log3x =2
A. 36
B. 9/4
C. 4/9
D. 1/36
9514 1404 393
Answer:
C. 4/9
Step-by-step explanation:
There are a couple of ways you can do this.
[tex]\log_3{4x}-2\log_3{x}=2\\\\\log_3{4}+\log_3{x}-2\log_3{x}=2\\\\\log_3{4}-2=\log_3{x}\\\\4\cdot3^{-2}=x\qquad\text{take antilogs}\\\\\boxed{x=\dfrac{4}{9}}\\\\\textsf{or}\\\\\dfrac{4x}{x^2}=3^2\qquad\text{take antilogs}\\\\\dfrac{4}{9}=x\qquad\text{cancel $x$, multiply by $\dfrac{x}{9}$}[/tex]
PLSSSS ASAPPP!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.
A)169
B)7,056
C)None of these answers are correct
D)7,225
E)13
Answer:
D. my answer for your question
Find the zero of the polynomial 2y – 3
Answer:
The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]
Step-by-step explanation:
Zero of a polynomial:
The zeros of a polynomial are the values of the independent variable(in this case y) for which the polynomial is 0.
Polynomial 2y - 3
The zero is given by:
[tex]2y - 3 = 0[/tex]
[tex]2y = 3[/tex]
[tex]y = \frac{3}{2}[/tex]
The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]
What are the rational roots of f(d) = 5d - 6 + d-8?
evaluate g(x)=x/x-3, if g(1/2)
Answer:
-1/5
Step-by-step explanation:
g(x) = x/(x-3)
Substituting x = 1/2 in g(x),
g(1/2) = 1/2/(1/2-3)
= 1/2/(1/2-6/2)
= 1/2/(-5/2)
= 1/2 ÷ - 5/2
= 1/2 x -2/5
= - 1/5
Step-by-step explanation:
here is your answer
here is your answer
Help please !!! I will mark brainlist!!
Answer:
x= -0.182 and +4
hope it helps
have a nice day
Translate the phrase into an algebraic expression.
3 more than b
Answer:
b+3 or 3+b
Step-by-step explanation:
Please help me
Thank you.
Answer:
(8, -1)
General Formulas and Concepts:
Algebra I
Reading a coordinate planeCoordinates (x, y)Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect is the solution to the systems of equations. The systems of equations intersect at (8, -1).
What are some easy ways to find the value of
(2017^4−2016^4)/(2017^2+2016^2) without calculator
Answer:
Step-by-step explanation:
[tex]\frac{2017^4 - 2016^4}{2017^2 + 2016^2}[/tex]
[tex]= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}[/tex]
[tex]= (2017^2 - 2016^2)[/tex]
[tex]= (2017 - 2016)(2017 + 2016)\\= 4033[/tex]
Software Solution (SOS) helps subscribers solve software problems. All transactions are made over the telephone. For the year 2018, 10 engineers, most of whom are recent graduates, handled 119,000 calls. The average yearly salary for software engineers was $58,000. Starting in 2019, the firm retained and hired only software engineers with at least 2 years of experience. SOS raised the engineers’ salary to $73,000 per year. In 2019, eight engineers handled 127,000 calls.
Required:
1. Calculate the partial operational productivity ratio for both years.
2. Calculate the partial financial productivity ratio for both years. (Round your answers to 4 decimal places.)
Answer:
a. 11900, 15875
b. 0.2052, 0.2175
Step-by-step explanation:
number of engineers in 2018 = 10
calls handled in 2018 = 119000
average salary in 2018 = 58000
number of engineers in 2019 = 8
calls handled = 127000
salary = 73000
a.) operational productivity = output/input
in year 2018 = 119000/10= 11900
in year 2019 = 127000/8 = 15875
b.) ratio for both years = output/amount spent
in year 2018 = 119000/10*58000 = 0.2052
in year 2019 = 127000/8*73000 = 0.2175
Simplify -4 + (-3) + 6.
Answer:3/6 in simplest fraction form is 1/2.
Step-by-step explanation:EASY and my chanel is FireFlameZero if u can check dat out
- 10 + x < - 2 what is the solution of the inequality shown below
Answer:
x<8
Step-by-step explanation:
Which operation should you perform first in the expression 7x2^3?
Answer:
Below,
Step-by-step explanation:
The exponent part is done first
7 x 2^3
= 7 * 8
= 56.
You use the acronym PEMDAS:-
( E ( exponential) comes before M (multiply))
How many quarts of pure antifreeze must be added to 8 quarts of a 10% antifreeze solution to obtain a 60% antifreeze solution
Answer:
10 quarts
Step-by-step explanation:
.1(8) + 1(x) = .6(x + 8)
.8 + x = .6x + 4.8
.4x = 4
x = 10
10 quarts
Milauskasville Middle School's Crazy Hair Club sold tickets to it's "Hair Today, Gone Tomorrow" talent show. A total of 55 tickets were sold in the amount of $176.50. If adult tickets cost $3.75 and student tickets cost $2.00, how many adult tickets and student tickets were sold?
Answer:
Adult ticket = 38
Student ticket = 17
Step-by-step explanation:
Let :
Adult ticket = x
Student ticket = y
x + y = 55 - - - - (1)
Cost per x = 3.75
Cost per y = 2
3.75x + 2y = 176.50 - - - (2)
From (1):
x = 55 - y
Put in (2)
3.75(55 - y) + 2y = 176.50
206.25 - 3.75y + 2y = 176.50
-1.75y = - 29.75
y = - 29.75 / - 1.75
y = 17
From :
x = 55 - y
x = 55 - 17
x = 38
Evaluate the function at the given values of x. Round to 4 decimal places, if necessary. =fx7x
Step-by-step explanation:
what are the given values of x ?
there is nothing visible.
and what is the function itself ? f(x) = 7x ?
it is not clear.
Which equation represents a line that passes through (5, 1) and has a slope of ?
O y-5 = {(x-1)
Oy- } = 5(x –1)
Oy-1 = {(x–5)
Oy - 1 = 5(x-)
Answer:
y - 1 = 5(x - 5)
Step-by-step explanation:
Given the following data;
Points (x, y) = (5, 1)
Slope = ?
From the question, the value of the slope is missing. Hence, let's assume a value of 5.
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the equation of line, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 1 = 5(x - 5)
y - 1 = 5x - 25
y = 5x - 25 + 1
y = 5x - 24 = mx + c
Write the equation of the circle with center C(-5,8) and radius = 7
Answer:
( h + 5 )^2 + ( y - 8 ) ^2 = 49
Step-by-step explanation:
Equation of a circle:
( x - h )^2 + ( y - k )^2 = r^2
Where ( h , k ) = center and r = radius
We are given that the circle has a center at ( -5 , 8 ) meaning that h = -5 and k = 8
We are also given that the circle has a radius of 7 meaning that r = 7
Now that we have identified each variable we plug the values into the equation
( h - (-5)^2 + ( y - 8 )^2 = 7^2
Our final step is to simplify
we get that the equation of the circle is
( h + 5 )^2 + ( y - 8 ) ^2 = 49
By the way ^ means exponent
Question 5
Refer to the data that you recorded in part D. In each row, compare the slope of ABto the slope of the perpendicular line. What is the
relationship between the two slopes? What conclusion can you draw about the relationship between the slopes of any two perpendicular lines?
Ok
Answer:
Step-by-step explanation:
Answer:
The product of the slopes of and the line perpendicular to through C is -1 in all cases. So, I can conclude that any two perpendicular lines have slopes that are negative reciprocals of each other.
Step-by-step explanation:
its correct
4x = -12? dgdgdgdgdgdg
Answer:
-3
Step-by-step explanation:
X=-12/4
X=-3
hope it helps
Answer:
-3
Step-by-step explanation:
4x= -12
4x/4 = -12/4
x = -3
What are the solutions to x2 -8x =13
Answer:
See image below for answer:)
Step-by-step explanation:
The circumference of the base of the cone is 8.5 inches. What is the volume of the cone in term of pi? Round to the nearest hundredth
========================================================
Work Shown:
C = 2*pi*r ......... circumference of the circular base
r = C/(2pi)
r = (8.5)/(2pi)
r = 4.25/pi
-------------
V = pi*r^2*h ...... volume of the cone
V = pi*(4.25/pi)^2*15
V = pi*(18.0625/pi^2)*15
V = (18.0625*15)/pi
V = 270.9375/pi ..... exact volume in terms of pi
If we round that decimal number up top to the nearest hundredth, then we end up with V = 270.94/pi
Express the given situation as a linear inequality. needs at least units of a nutritional supplement per day. Red pills provide units and blue pills provide. Let x be the number of red pills and y be the number of blue pills.
A. 6x+ 5y ≥ 32
B. 11(x + y) ≥ 32
C. 320X+ y) ≥ 11
D. x+y≥32
1. Suppose that a die is rolled twice. What are the possible values that the following random variables can take on: (a) the maximum value to appear in the two rolls: (b) the minimum value to appear in the two rolls; (c) the sum of the two rolls; (d) the value of the first roll minus the value of the second roll? 2. If the die in Problem 1 is assumed fair, calculate the probabilities associated with the random variables in parts (a) through (d).
Answer:
hat mather chosen to be mather
What is the reflection across y=x and y=-x. Just the general definition of what it means.
Answer: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).
Reflection in the y -axis:
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
Reflecting over any other line. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).
It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number times one of the components of x, then f is a linear transformation. are linear transformations.
First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).
More information for you..
https://youtu.be/TPU5IyCUGuA
https://youtu.be/JHQtA6R7fYc
https://youtu.be/LR6f23gY3qk
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The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 30n. What does this equation tell us?
Answer:
30 plus 70 equals 100
Step-by-step explanation:
it tells the gum explicit equation
Simplify the expression given below. x+2/4x^2+5x+1 * 4x+1/x^2-4
Answer:
[tex]\frac{1}{(x+1)(x-2)}[/tex]
Step-by-step explanation:
[tex]\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}[/tex]
Answer:
D. 1/(x+1)(x-2)
Step-by-step explanation:
i looked it up on a simplifier :)
add negative 4 plus negative 6
-10
thats it, thats what i know
