Answers
The solution is, Option A. is correct.
F(x) = 1/ (x-1)(x+4)
What is rational fraction?A rational fraction is an algebraic fraction such that both the numerator and denominator are polynomials.
Here, we have,
a graph is given .
We need to find which of the given rational functions is graphed in image.
On x-axis, 1 unit = 2 units
Clearly, we can see the graph is not defined at point x = - 4 and at x = 1.
Corresponding to x = - 4, factor is (x+4) .
Corresponding to x = 1, factor is (x-1) .
So, this graph is of the rational fraction
F(x) = 1/ (x-1)(x+4)
Hence, Option A. is correct.
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Related Questions
The sum of a certain number and 3 times the number is 40. what is the number?
Answers
4n = 40
n = 40/4
n = 10 <==
The value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The sum of a certain number and 3 times the number is 40
Let the number is x
From the question, we can frame a linear equation in one variable
3x + x = 40
Adding like terms:
4x = 40
Divide by 4 into both sides
x = 40/4
x = 10
Thus, the value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.
Learn more about the linear equation here:
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Write equations for the vertical and horizontal lines passing through the point (8, 7).
Answers
that means x = 8 and y = 7.
The vertical line (// to y-axis) passing through A, will have always x = 8,
Then the equation of the vertical line is x = 8
The Horizontal line (// to x-axis) passing through A, will have always y = 7,
Then the equation of the Horizontal line is y = 7
Find the sum of the solutions of this equation 20x^2-39x-80=0
Answers
The sum of the solutions is the coefficient with 'x', change it sign and divide by the coefficient of x^2:
sum = 39/40.
The expression 0.01E+0.003E^2 gives the thickness in millimeters (mm) of the insulation needed for a high voltage cable. E is the number of kilovolts carried by the cable. What thickness of insulation material is needed for 7 kilovolt cable?
Answers
T = 0.01E + 0.003E^2
T = 0.01(7) + 0.003(7)^2
T = 0.217 mm
Therefore, the thickness of the insulation needed would be 0.217 mm.
Answer: 0.217 mm
Step-by-step explanation:
Consider the following function: f(x)= 25-x^2/x^2-4x-5 Which of the following are correct? Check all of the boxes that apply.
-m not equal to n
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.
Answers
Answer: B, C, and D
Step-by-step explanation:
Just did it and got the answers wrong so these are the correct ones
Answer:
B, C, D
Step-by-step explanation:
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.
Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.
Answers
f(x)=(1+6x²)(x-x²)
f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1
Solving the bracket first;
f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4
f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1
Abdul put gas in his car. He paid $18.32 for 8 gallons of gas. What is the unit price?
Answers
18.32/8=2.29
Final answer: $2.29 per gallon
18.32/8 = 2.29, which represents dollars per gallon.
The area of the trapezoid is 40 square units.
What is the height of the trapezoid? __ Units
Answers
When you input 40 for A and 6 for a and 10 for b, then you should get 5
hope this helps:))
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}(b1+b2)h[/tex]
where
b1 and b2 are the parallel bases of the trapezoid
h is the height of the trapezoid
In this problem we have
[tex]b1=6\ units\\b2=10\ units\\A=40\ units^{2}[/tex]
substitute in the formula
[tex]40=\frac{1}{2}(6+10)h[/tex]
Solve for h
[tex]40*2=16h[/tex]
[tex]h=80/16=5\ units[/tex]
therefore
the answer is
The height of the trapezoid is [tex]5\ units[/tex]
Which expression is right!!!!!! help me!!!!! Help!!!!
Answers
area of a triangle is 1/2 x base x height
c would be the base and x is the height
so 1/2cx is the expression needed
A box with a volume of 40 cubic inches holds 10 balls. A box with a volume of 60 cubic inches holds 15 of the same kinds of balls. Assume the relationship is linear. Which equation models the relationship between the volume, x, and the number of balls y ?
A).y=0.25x+10
B).0.25x
C).y=4x
D).y=4x+60
Answers
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
[tex]m= \frac{60-40}{15-10} [/tex] and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x
Write the complex number in polar form. express the argument in degrees. 4i
a. 4(cos 0° + i sin 0°)
b. 4(cos 270° + i sin 270°)
c. 4(cos 90° + i sin 90°)
d. 4(cos 180° + i sin 180°)
Answers
The only way to solve these is to test each choice such that its final answer would be 4i. These are important equivalents to know:
sin 0° = 0 cos 0° =1
sin 90° =1 cos 90° =0
sin 180° =0 cos 180° = -1
sin 270° = -1 cos 270° = 0
Using these values, let's simplify each choise.
A. 4(1 + i (0)) = 4
B. 4(0 + i (-1)) = -4i
C. 4(0 + i (1)) = 4i
D. 4((-1) + i (0)) = -4
The answer is C.
Final answer:
The complex number 4i in polar form is 4(cos 90° + i sin 90°), which matches choice (c). The magnitude is 4, and the argument is 90° since 4i lies on the positive imaginary axis.
Explanation:
To convert the complex number 4i to polar form and express the argument in degrees, we should consider the general polar form of a complex number which is r(cos θ + i sin θ), where r is the magnitude (modulus) and θ is the argument of the complex number. The complex number 4i has a real part of 0 and an imaginary part of 4. Therefore, its magnitude is 4 and it lies on the positive imaginary axis. In the complex plane, this corresponds to an angle of 90° or 270° from the positive real axis. Since it is on the positive imaginary axis, the correct angle is 90°.
The correct polar form of the complex number 4i is 4(cos 90° + i sin 90°), which corresponds to choice (c).
The measure of arc XYZ is 296 degrees. What is the measure of angle XZW, the tangent-chord angle?
A: 296
B:148
C:116
D:206
Answers
Reflex angle XOZ = 296°
Obtuse angle XOZ = 360° - 296° = 64°
Triangle XOZ is an isosceles triangle.
∴ Angle OZX = (180° - 64°) / 2 = 58°
(Base angle of an isosceles triangle)
Angle OZW = 90°
(Tangent to circumference of circle)
Angle XZW = 90° + 58° = 148°
Answer is B.
Choose one of the factors of x3 + 343
Answers
The factorization for x³ + 343 is (x + 7)(x² - 7x + 49)
I hope that helps!
Laura is now trying to come up with a number where three less than 8 times the number is equal to half of 16 times the umber after it was increased by 1
Answers
is the equation i come up with which would have no solutions.
Is the number of free dash throw attempts before the first shot is missed number of free-throw attempts before the first shot is missed a discrete random variable, continuous random variable, or not a random variable?
Answers
Answer:
:)
Step-by-step explanation:
Which of the following are binomials. (more than one answer)
A. x^11
B. 8x
C. x^2+3
D. x^4+x^2+1
E. 5/7y^3+5y^2+y
F. 6x^2+1/2y^2
Answers
its C) x^2+3 and F) 6x^2+1/2y^2 on apex
If AB is the midsegment, find the value of x. Show your work.
Answers
3x-1=34/2
=17
3x =18, x =6
Select the postulate or theorem that you can use to conclude that triangles are similar.
Answers
Answer:
AA similarity postulate.
Step-by-step explanation:
Two triangles which are of same shape are called similar triangles.
In the given triangles two angles are marked 90 degrees and another pair of angles are marked the same that is equal.
In the given figure:
m∠P==m∠L=90°
m∠J=m∠M.
Two angles are equal .
The AA similarity postulate states: if two pairs of corresponding angles are congruent, then the triangles are similar .
Answer :AA similarity postulate.
Answer:
AA
Step-by-step explanation:
A driver's education course compared 1,500 students who had not taken the course with 1,850 students who had. Of those students who did not take the driver's education course, 1,150 passed the written driver's exam the first time compared with 1,440 of the students who did take the course. A significance test was conducted to determine whether there is evidence that the students who took the driver's education course were more likely to pass the written driver's exam the first time. What is the p-value for an appropriate hypothesis test?
1
0.7895
0.4209
0.2105
0
(I chose .4209 after using a 2-PropZTest. I need some help checking. An explanation if I'm wrong would be great)
Answers
Answer:
0.2105
Step-by-step explanation:
Its correct
What is the value of y in the product of powers below?
Answers
when multiplying you add the powers
3 +-5 = -2 so the power for y = 0
The diagonals of a parallelogram are 12 meters and 20 meters and intersect at an angle of 60°. find the length of the longer side.
Answers
Final answer:
To find the length of the longer side of the parallelogram, you can use the law of cosines.
Explanation:
To find the length of the longer side of the parallelogram, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those two sides and the cosine of the included angle.
In this case, one of the diagonals is 12 meters and the other is 20 meters. The included angle is 60°.
Letting 'a' be the length of the longer side, we can set up the equation:
a^2 = 12^2 + 20^2 - 2(12)(20)cos(60°)= 304
a=17.43
The scores for today’s math quiz are 75, 95, 60, 75, 95, and 80. Explain the steps needed to create a histogram for the data
Answers
Answer: Determine what should go on each axis. Grades will go on the x-axis, and the number of students will be plotted on the y axis. Find the number of different scores and range. Choose an interval - say, 10 percent. Find the frequency within each interval. Choose a scale - say, - 0-3. Draw bars the height of the frequency for each interval.
The histogram is defined as the graphical representation of the data points in the given specified range.
The histogram is similar to a bar graph. In the histogram, the data is grouped in logical ranges.
The steps involved in the making of the histogram are:
The vertical axis represents the y-axis. On the y-axis, the score or marks of the quiz will be placed. The interval between the scores is 5. The x-axis is the horizontal axis, on which the relative grades will be put on. The interval, let be 10 percent for the grades. Now, draw the bars to a respective height of the frequency of marks on the y-axis.
Therefore, the histogram is similar to the bar graph, in which the quantitative analysis of the data is done.
To know more about the histogram, refer to the following link:
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What is the solution to the equation 1 over 2 n = 8?
n = 4
n = 6
n = 10
n = 16
Answers
Explanation:
______________________________________________
(1/2) n = 8 ;
Multiply EACH side of the equation by "2" ; to "cancel out" the "(1/2)" on the left-hand-side of the equation; and to isolate "n" on one side of the equation; and to solve for "n" ;
______________________________________________
2* (1/2) n = 2 * 8 ;
______________________________________________
to get:
______________________________________________
n = 16 ; which is: Answer choice: [D] .
______________________________________________
The volume of a fish tank is 20 cubic feet. If the density is 0.2 fish over feet cubed, how many fish are in the tank? (1 point)
Answers
0.2 = n / 20
n = 20*0.2 = 4
there are 4 fish in the tank.
Answer : The number of fish present in the tank are, 4 fish.
Step-by-step explanation :
As we are given that the volume of a fish tank is 20 cubic feet and density is 0.2 fish over feet cubed.
Now we have to determine the number of fish in the tank.
As, in 1 cubic feet tank the number of fish present in tank = 0.2 fish
So, in 20 cubic feet tank the number of fish present in tank = 20 × 0.2 fish
= 4 fish
Therefore, the number of fish present in the tank are, 4 fish.
if the measure of angle 1 is (3x-4)° and the meadure of angle 2 is (4x+10)° what is the measure of angle 2 in degrees?
Answers
=>
7x + 6 = 90
=>
7x = 84 => x = 84/7 = 12
<2 = 4x + 10 = 4*12 + 10 = 48 + 10 = 58
The answer is: 58
Answer:
The measure of ∠ 2 in 58° .
Step-by-step explanation:
As given
if the measure of ∠ 1 is (3x-4)° and the measure of ∠ 2 is (4x+10)° .
As shown in the picture given in the question
90° + ∠1 + ∠2 = 180°
(By linear pair property)
Put the value of ∠1 and ∠2 in the above
90° + (3x -4)° + (4x+10)°= 180°
90 + 3x -4 + 4x + 10 = 180
7x + 6 = 180 - 90
7x + 6 = 90
7x = 90 -6
7x = 84
[tex]x = \frac{84}{7}[/tex]
x = 12
Put the value of x in the (4x+10)° .
∠2 = (4 × 12 + 10)°
∠2 = 58°
Therefore the measure of ∠ 2 in 58° .
Which of the following steps could be used as a shortcut method to multiply 12 by 50
Answers
1. Compute 12*5
2. Add a zero at the end of the product
Another way (which is slightly longer):
1. Split 50 into 10*5
2. Multiply 12*5 to get 60
3. Multiply 60*10 to get 600
Factor 5k 2 - 35k 3.
A. 5k2(1 - 7k)
B. 5k3(1 - 7k)
C. 5k(1 - 7k2)
Answers
Answer:
The correct answer is A) 5k^2(1 - 7k)
Step-by-step explanation:
To factor, take out the greatest common multiple. Each term has a factor of 5 that can be taken out as a constant and k^2 as a variable. Take both of these out and divide each term by that expression.
5k^2(1 - 7k)
its A) 5k^2(1 - 7k) :)
Which of the following could not be a value of n? side lengths of 9 and 13
a. 7
b.10
c. 13
d. 22
Answers
Name all sets of numbers to which each real number belongs
Answers
Whole Numbers:0,1,2,3,4,5,6,7,8,9,10,etc.
Counting Numbers:1,2,3,4,5,6,7,8,etc.
Natural Numbers:which is whole or counting numbers depends on the topic
Integers:-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,etc.
Another name for a dummy variable is a binary variable.a.Trueb.False
Answers
a.True