Answer:
x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
f(x) = [tex]\frac{x-4}{2x-3}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Thus x = [tex]\frac{3}{2}[/tex] is the vertical asymptote
please answer. will give brainliest
Answer:
2
Step-by-step explanation:
thats the answer pls give brainliest.
Answer: OPTION B
Step-by-step explanation:
Angle 25° is in the interior of two lines so we are actually finding the alternative interior angles.
Alternate angles are angles that on opposite sides that locate on opposite relative sides of the other lines.
The only three labeled angle that are interior. Angle 25°, Angle 2, and Angle 3.
Angle 25° and Angle 3 are on opposite sides, but they are on the same relative side of the other lines, which does not fit the alternate angle definition.
Angle 25° and Angle 2 are on opposite sides and on the opposite relative side of the other lines, so Angle 2 is the alternate to Angle 25°
Hope this helps!! :)
Please let me know if you have any question
Why is a rational number?
Answer:
A rational number is a number that can be express as the ratio of two integers.
Step-by-step explanation:
Answer:
a fraction,decimal,negative,positive
Step-by-step explanation:
13. If B is the midpoint of AC, and AC = 8x - 20,
find BC.
3x – 1
А A
B
C
Which concept is associated with distribution of power in the United States government? A.separation of powers
B. production and sustenance
C..leadership
D.law and order
Answer:
A separation of power
Step-by-step explanation:
the United states has different forms of government to make sure that we are not re writing history
Answer:
It's separation of powers
The rest of the answers are just building blocks of government. Easy question smh
An appliance company uses the function f(h) = 40h + 120 to calculate the total repair bill, f(h), for h number of hours worked. Find h if f(h) = $200.
Answer:
fh. = 40h + 120, fh. = $200
200 = 40h + 120
200 - 120 = 40h
80 = 40h
80/40 = h
2 = h
h = 2 hours.
Step-by-step explanation:
6x - 8x + 5 = -2(x + 2) + 7
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
~ Question : [tex]6x-8x+5=-2(x+2)+7[/tex]
________________
[tex](Simplify.both.sides.of.the.equation.)\\6x-8x+5=-2(x+2)+7\\6x + -8x + 5 = (-2)^{(x)} + (-2) (2) + 7 ( Distribute)\\6x + - 8x + 5= -2x + -4 + 7\\(6x + -8x) (5) = (-2x) + ( -4x + 7) (Combine.Like.Terms)\\-2x + 5 = -2x + 3\\( Add.2x.to.both.sides.)\\-2x + 5 + 2x = -2x + 3 + 2x\\5 = 3\\(Subtract.5.from.both.sides.)\\5 - 5 = 3 - 5\\0 = -2[/tex]
Answer : There are no solutions.
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
[tex]\int\limits^e_1 {\frac{1}{x\sqrt{1-(logx)^{2} } } } \, dx[/tex]
For the integral
[tex]I=\displaystyle\int_1^3\frac{\mathrm dx}{x\sqrt{1-(\log x)^2}}[/tex]
(assuming [tex]\log x[/tex] is the natural logarithm with base [tex]e[/tex]) substitute [tex]u=\log x[/tex] and [tex]\mathrm du=\frac{\mathrm dx}x[/tex]. Then the integral is equivalent to
[tex]I=\displaystyle\int_{\log1}^{\log e}\frac{\mathrm du}{\sqrt{1-u^2}}=\int_0^1\frac{\mathrm du}{\sqrt{1-u^2}}[/tex]
Next, substitute [tex]u=\sin t[/tex] and [tex]\mathrm du=\cos t\,\mathrm dt[/tex]:
[tex]I=\displaystyle\int_{\sin^{-1}0}^{\sin^{-1}1}\frac{\cos t}{\sqrt{1-\sin^2t}}\,\mathrm dt=\int_0^{\frac\pi2}\frac{\cos t}{\sqrt{\cos^2t}}\,\mathrm dt[/tex]
We have [tex]\sqrt{x^2}=|x|[/tex] for all [tex]x[/tex], but in the given integration interval, [tex]\cos t\ge0[/tex], so
[tex]I=\displaystyle\int_0^{\frac\pi2}\frac{\cos t}{\cos t}\,\mathrm dt=\int_0^{\frac\pi2}\mathrm dt=\boxed{\dfrac\pi2}[/tex]
(Of course, with a little foresight, you could have immediately combined the two substitutions and started off with letting [tex]\sin u=\log x[/tex].)
Given
mZAOC is a straight angle.
mZBOC = 6x + 29°
mZAOB = 3x + 124°
Find mZBOC:
O
с
A
Answer:
47°
Step-by-step explanation:
Given that m<BOC = 6x + 29, m<AOB = 3x + 124, and m<AOC is a straight angle, therefore, m<AOC = 180°.
m<BOC +m<AOB = 180°
6x + 29 + 3x + 124 = 180
Solve for x
6x + 3x + 29 + 124 = 180
9x + 153 = 180
Subtract both sides by 153
9x = 180 - 153
9x = 27
Divide both sides by 9
x = 3
m<BOC = 6x + 29
Plug in the value of x
m<BOC = 6(3) + 29
m<BOC = 18 + 29 = 47°
Which of these numbers is composite? (Choice A) A 29 (Choice B) B 41 (Choice C) C 71 (Choice D) D 79 (Choice E) E 99
Answer: E. 99
Step-by-step explanation:
A composite number has more than two factors which means not only including 1 and itself, but at least one other.
factor of 29: 1, 29
factor of 41: 1, 41
factor of 71: 1, 71
factor of 79: 1, 79
factor of 99: 1, 3, 9, 11, 33, 99
Clearly 99 has more than two factors.
Hope this helps!! :)
Please let me know if you have any questions
Geometry PLEASE HELP will give le brainliest
Answer:
From the given diagram, the measurement of ∠RQS is 106° and the measurement of ∠TQS is 74°
Step-by-step explanation:
For this problem, we are to find the measurements of ∠RQS and ∠TQS which makes up the straight line RQT. Straight lines have a measurement of 180°. So, since ∠RQS and ∠TQS make up ∠RQT, then we are goingt o set up an equation where we add ∠RQS and ∠TQS together and equal them to ∠RQT.
m∠RQS + m∠TQS = m∠RQT
Now, let's fill the information from the problem into our equation.
(11x + 7) + (8x + 2) = 180
Combine like terms on the left side of the equation.
19x + 9 = 180
Subtract 9 form both sides of the equation.
19x = 171
Divide by 19 on both sides of the equation.
x = 9
So, we know the value of x is 9. Now, let's plug in this value into each angle so we can see the measurements of each.
m∠RQS = 11(9) + 7 = 99 + 7 = 106°
m∠TQS = 8(9) + 2 = 72 + 2 = 74°
Solve the equation -7x - 9 = 19 x =?
Answer:-4
Step-by-step explanation:
-4 x -7 = 28
28-9=19
Answer:
x=-4
Step-by-step explanation:
We are given the equation:
-7x-9= 19
We want to solve for x. Therefore, we must isolate x on one side of the equation.
9 is being subtracted. The inverse of subtraction is addition. Add 9 to both sides of the equation.
-7x-9+9= 19+9
-7x= 28
x is being multiplied by -7. The inverse of multiplication is division. Divide -7 on both sides.
-7x/-7=28/-7
x= 28/-7
x= -4
Let’s check our solution. Plug -4 in for x and solve.
-7x-9=19
-7(-4)-9=19
28-9=19
19=19
This checks out, so we know our solution is correct.
The solution to the equation -7x-9=19 is x= -4
Is a quadrilateral with four congruent sides a regular polygon? Plz help ASAP
Answer:
No a quadrilateral with four congruent sides is actually a rhombus. hope this helps
What is the area of a rectangle that is 3.1 cm wide and 4.4 cm long? Write the full-precision answer first to see the corresponding feedback before entering the properly-rounded answer.
Answer:
Step-by-step explanation:
The area of a rectangle is expressed as A = Length * Width
Given the length of the rectangle = 4.4 cm
Width of the rectangle = 3.1 cm
Area of the triangle = 4.4 cm * 3.1 cm
Area of the triangle =13.64cm²
The full precision answer is 13.64cm²
Rounding the value up to the nearest cm² will give 14cm². Note that the value is rounded up to 14cm² because the first value (6) after the decimal point is greater than 4, hence 13 will be approximated to 14.
1)A fish tank has a volume of 520 in. it is emptied at a constant rate of 10 cubic inches every minute. Which equation represents the volume v,after t, time in minutes
Answer:
v=520 -10t
Step-by-step explanation:
the rate of decrease is given a variable to calculate the rate of change. v is represented by 520 - the number of minutes.
V = 520 - 10t is the representation of the decrement of the volume of the fish tank.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that volume of fish tank = 520 inch³
Now since volume is decreasing at a rate of 10 inche³/minute
Decrement of t minutes = 10t
So,
New volume = Original volume - decrement of t minutes
V = 520 - 10t
Hence "v = 520 - 10t is the representation of the decrement of the volume of the fish tank".
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The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional
$1.35.
Full Question:
The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional $1.35.
Which equation shows the relationship between the number of posters, n, and the total cost, c, in dollars?
Answer:
[tex]C = 15 + 1.35n[/tex]
Step-by-step explanation:
Given
[tex]Base\ Charge = \$15[/tex]
[tex]Cost\ per\ print = \$1.35[/tex]
Required
Determine an equation to calculate the total cost
First, we need to determine the cost of n posters;
If 1 poster costs $1.35, then
[tex]n\ posters = n * 1.35[/tex]
[tex]n\ posters = 1.35n[/tex]
Next, add the cost of n posters to the base charge. This gives total cost (C)
[tex]C = Base\ Charge + n\ posters[/tex]
[tex]C = 15 + 1.35n[/tex]
Answer:
I Did The Test And The Correct Answer is that c will equal to 1.35n + 15
It Is 1.35n + 15
90+ POINTS PLEASE HELP Choose one problem below and use trigonometry to solve for a missing angle x of the right triangle
Answer:
[tex]x\approx49.3266\textdegree[/tex]
Step-by-step explanation:
So we want to find Angle x.
Note that we already know the side length of the side opposite to Angle x.
We also know that the hypotenuse is 56.3.
Therefore, we can use the sine function. Recall that:
[tex]\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
The opposite side is 42.7. The hypotenuse is 56.3. Substitute:
[tex]\sin(x)=\frac{42.7}{56.3}[/tex]
Take the inverse sine of both sides.
[tex]\sin^{-1}(\sin(x))=\sin^{-1}(\frac{42.7}{56.3})[/tex]
The left side cancels:
[tex]x=\sin^{-1}(\frac{42.7}{56.3})[/tex]
Use a calculator. Thus:
[tex]x\approx49.3266\textdegree[/tex]
And that's our answer :)
Answer:
[tex]\Huge \boxed{\mathrm{49.33 \° }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use trig functions to solve for the missing angle.
[tex]\displaystyle \mathrm{sin \theta =\frac{opposite}{hypotenuse} }[/tex]
The opposite side to angle x is 42.7.
The hypotenuse of the right triangle is 56.3.
[tex]\displaystyle \mathrm{sin} (x)=\frac{42.7}{56.3}[/tex]
Taking inverse sin of both sides.
[tex]\displaystyle x=\mathrm{sin^{-1}}( \frac{42.7}{56.3})[/tex]
[tex]x= 49.3265955[/tex]
The missing angle measures approximately 49.33°.
[tex]\rule[225]{225}{2}[/tex]
What is the answer to
-3-7x - 41 - 7>68
Answer:
x < -17
Step-by-step explanation:
-3-7x - 41 - 7>68
Combine like terms
-7x-51>68
Add 51 to each side
-7x-51+51>68+51
-7x > 119
Divide each side by -7, remembering to flip the inequality
-7x/-7 < 119/-7
x < -17
the perimeter P of a square is four times the length of one side s, which can be expressed as P = 4s. is (13,51) a solution of this equation? if not, find a solution that uses one or the other of the given values
Answer:
13,52
Step-by-step explanation:
S=13 4s=13x4=52
Which of the following items is the most likely to have a weight of 5 ounces?
ant
apple
cat
chair
Answer:
apple
Step-by-step explanation:
I did it before
Peter has 100 dollars. His mom gives him x dollars more. Write an expression to represent how much money he now has.
Answer:
100 + x
Step-by-step explanation:
If Peter has an initial 100$, and his mom gives him an additional x$, then we can simply write the total amount in an expression using addition as such:
100 + x
So Peter now has 100 + x amount of dollars.
Cheers.
Answer:
[tex]\huge\boxed{\$(x+100)}[/tex]
Step-by-step explanation:
Peter has = $100
He has been given = $x more.
So, the expression becomes
=> $(100+x)
OR
=> $(x+100)
What is the area of a rectangle that is \dfrac1{2} 2 1 start fraction, 1, divided by, 2, end fraction of a meter long and \dfrac38 8 3 start fraction, 3, divided by, 8, end fraction of a meter wide?
Answer:
[tex]Area = \frac{3}{16} m^2[/tex]
Step-by-step explanation:
Given
Shape: Rectangle
[tex]Length = \frac{1}{2}\ m[/tex]
[tex]Width = \frac{3}{8}\ m[/tex]
Required
Determine the area of the rectangle;
Area is calculated as thus;
[tex]Area = Length * Width[/tex]
Substitute values for Length and Width
[tex]Area = \frac{1}{2} * \frac{3}{8}[/tex]
[tex]Area = \frac{1 * 3}{2 * 8}[/tex]
[tex]Area = \frac{3}{16}[/tex]
Hence, the area of the rectangle is [tex]\frac{3}{16}m^2[/tex]
k - 4.8=0.32 - 5.4k answer?
Answer:
k =4/5
Step-by-step explanation:
[tex]k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}[/tex]
6 ten thousands 4 hundreds × 10
Answer:
604,000
Step-by-step explanation:
60,400 x 10
add one zero onto the end and replace the comma.
604,000
Sally hopes to purchase a 2-boat trailer for around $ 21,000. Describe all the numbers that when rounded to the nearest thousand are 21,000.
Answer:
20,500 or greater. 21499 or less.
Step-by-step explanation:
All the numbers that rounds to 21000 when rounded to nearest thousand are from 20501 to 21499.
What are rounded numbers ?We round numbers to make it easier to remember and rounding numbers to a certain place retains it's value to that place.
According to the given question Sally hopes to purchase a 2-boat trailer for around 21000 dollars.
We have to describe all the numbers which become 21000 when rounded to nearest thousand we have to observe the digit at thousands place here it is less than 5 so we'll subtract 1 to that digit and make all the digits after that zero which becomes 20000.
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If it takes Tanya 4.6 hours to get to her cousin's house while driving an average of 40 mph, how far away does her cousin live?
i need help with this whole page
Answer:
Step-by-step explanation:
A restaurant has 2 flavors of ice cream, 4 types of sauce and 7
toppings.
A student chooses one topping and one type of sauce. How many
different desserts could she make?
Answer:
8 differnt types of desserts
Step-by-step explanation:
4 each ice cream
During the summer, you charge people $8 per hour for babysitting and a $10 fee for traveling to their home. If you made $130 last weekend, how many hours did you spend babysitting?
Answer:
15
Step-by-step explanation:
lets make an equation and solve it (its easier)
130=8x+10
130-10=8x
120=8x
x=120/8=15 hours
Evaluate each expression if a = -1, b = -8, c = 5, and d = -1.4.
1. |6a|
2. |2b + 4|
3. -|10d +12|
4. |17c| + |3b-5|
Answer:
2
Step-by-step explanation:
Can someone please help me ?!
Answer:
sjjxdhbddgcKHCaydkfuksjkgd
Step-by-step explanation:
k,huglzxukugdldlitgjgkdkhf