Answers
Given the following question:
\(\begin{gathered} f(x)=\frac{x-1}{x+5},x\ne-5 \\ f(x)=\frac{x-1}{x+5},x-5=y=\frac{x-1}{x+5},x-5 \\ \begin{equation*} y=\frac{x-1}{x+5},x\ne-5 \end{equation*} \\ x=\frac{y-1}{y+5},y-5=xy+5x=y-1 \\ \begin{equation*} xy+5x=y-1 \end{equation*} \\ y-y=y\times(1-x)=(5x+1)=y=\frac{\left[5x+1\right]}{\left[1-x\right]} \\ f\mleft(x\mright)-1=\frac{\left[5x+1\right]}{\left[1-x\right]} \end{gathered}\)First option isn't the same
\(\begin{gathered} g(x)=\frac{x-2}{x-1},x\ne1 \\ y=\frac{\left[x-2\right]}{\left[x-1\right]} \\ y=\frac{\left[x-2\right]}{\left[x-1\right]}=x=\frac{\left[y-2\right]}{\left[y-1\right]}=xy-x=y-2 \\ xy-x=y-2 \\ xy-y=-2+x \\ y*\left[x-1\right]=\left[x-2\right]=y=\frac{\left[x-2\right]}{\left[x-1\right]} \\ g\mleft(x\mright)-1=\frac{\left[x-2\right]}{\left[x-1\right]} \end{gathered}\)Second option is the same
\(\begin{gathered} h\mleft(x\mright)=\frac{\left[x+3\right]}{\left[x-2\right]} \\ y=\frac{\left[x+3\right]}{\left[x-2\right]} \\ y=\frac{\left[x+3\right]}{\left[x-2\right]}=x=\frac{\left[y+3\right]}{\left[y-2\right]} \\ x=\frac{\left[y+3\right]}{\left[y-2\right]} \\ x\times\left[y-2\right]=\left[y+3\right]=xy-2x=y+3 \\ xy-2x=y+3 \\ xy-2x=y+3-=xy-y=3+2x \\ xy-y=3+2x \\ y\times\left[x-1\right]=\left[2x+3\right] \\ y=\frac{\left[2x+3\right]}{\left[x-1\right]} \\ y=\frac{\left[2x+3\right]}{\left[x-1\right]}=h\mleft(x\mright)-1=\frac{\left[2x+3\right]}{\left[x-1\right]} \\ h\mleft(x\mright)-1=\frac{\left[2x+3\right]}{\left[x-1\right]} \end{gathered}\)Third option isn't the same
\(\begin{gathered} k\left(x\right)=\frac{\left[x+1\right]}{\left[x-1\right]} \\ y=\frac{\left[x+1\right]}{\left[x-1\right]} \\ y=\frac{\left[x+1\right]}{\left[x-1\right]}=x=\frac{\left[y+1\right]}{\left[y-1\right]} \\ x=\frac{\left[y+1\right]}{\left[y-1\right]} \\ x\times\left[y-1\right]=\left[y+1\right] \\ xy-x=y+1 \\ xy-x=y+1=xy-y=x+1 \\ xy-y=x+1=y\times\left[x-1\right]=\left[x+1\right] \\ y=\frac{\left[x+1\right]}{\left[x-1\right]} \\ k\left(x\right)-1=\frac{\left[x+1\right]}{\left[x-1\right]} \end{gathered}\)Fourth option is the same.
Related Questions
749/d * d/749 = 1
d=?
Answers
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
use the number lineto find the difference 3 1/2 - 5
a. -8 1/2
b. -1 1/2
c. 2 1/2
d. -2 1/2
Answers
Answer:
Step-by-step explanation:
lamonte car used 5 gallons to travel 125 miles.how many gallons of gas would he need to travel 400 miles
Answers
Answer:
Step-by-step explanation:
1. Get mileage per gallon by dividing miles traveled by gallons used
\(\frac{125}{5} = 25 mpg\\\)
2. Divide miles you want to travel by the mileage per gallon you got on the first step
\(\frac{400}{25} = 16 gallons\)
how would i anwser this? help pls!
Answers
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
a library has 67,982 books. the children's section represents 1/3 of the total books. of the remaining books, 75% are fiction. how many books are in the non-fiction section?
Answers
Answer:
11331 non fiction books
Step-by-step explanation:
Given :
Total books = 67982
Childrens section = 1/3 of total
Number of children's books :
(1/3 * 67982) = 22660 books (approximately)
Books left :
67982 - 22660 = 45,322 books
Fiction books:
75% of remaining
0.75 * 45322
33991.5
= 33991 books
If the only section left is non - fiction, then
Non - fiction books = (45322 - 33991) = 11331
Nadia entered a spelling contest. In the first round, a total of 1,036 words were spelled correctly. Each contestant spelled 37 words correctly. How many contestants were in the first round?
Answers
Answer: 28
Step-by-step explanation:
You have to do 1036 divided by 37.
PLS ANSWER ASAP THANKS
Answers
Answer:
x=54°
Step-by-step explanation:
x+36°=90°
x=90°-36°
x=54°
HOPE IT HELPS U
HAVE A GREAT DAY
Tara has 8.7 feet of fabric. She wants to make table runners that are all 1.45 feet long. How many table runners can she make?
Answers
Answer:
6 table runners
Step-by-step explanation:
8.7 ÷ 1.45 = 6
(A) 2 2/3 =2 + 2 + 3 (B) 2 2/3 = 1 + 1 + 2 + 3 (C) 2 2/3 = 1 + 1 + 1/3 + 1/3 (D) 2 2/3= 1 + 1 + 1/3 Which equation is true?
Answers
Answer:
C
Step-by-step explanation:
This is because C is the only answer that equals 2 2/3
Option C (2 2/3 = 1 + 1 +1/3 + 1/3) is the correct equation.
A) 2 + 2 + 3 = 7
B) 1 + 1 + 2 + 3 = 7
C) 1 + 1 + 1/3 + 1/3 = 2 2/3
D) 1 + 1 + 1/3 = 2 1/3
I attached a picture to make it simpler!
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
help i asked this 3 times i will do brainliest no troll answers!
Answers
Answer:
Number two
Exact Form:
11/2
Decimal Form:
5.5
Mixed Number Form:
5
1/2
Step-by-step explanation:
sorry I do not know one hope this helps please mark brainliest
3. The Mitchell family took a road trip from Detroit to Toronto. Their route was 750 kilometers long and required 54 liters of gas.
a. What was the family’s fuel efficiency in miles per gallon? Round to the nearest tenth.
b. Suppose the Mitchells plan to drive to Washington, D.C. on their next road trip. Assuming they get the same mileage as you calculated in part a, calculate the cost of their 1060-mile route if gasoline costs $2.35 per gallon.
Answers
The family’s fuel efficiency in miles per gallon is 32.67miles/gallon .The cost of their 1060-mile route if gasoline costs $2.35 per gallon is $ 76.234.
What is Distance Travelled ?The measure of the length between two points is called Distance.
It is a scalar quantity.
The family's fuel efficiency = Distance travelled/ Fuel required
= 750/54
= 13.89 km/l
= 13.89* 0.621/0.264 miles/gallon
=32.67miles/gallon
For the same fuel efficiency ,
cost for Washington DC trip
Distance = 1060 mile
fuel required = 1060/32.67
=32.44 gallon
Cost of 1 gallon = $2.35
Cost of 32.44 gallon = 32.44 * 2.35
=$76.234
The cost of their 1060-mile route if gasoline costs $2.35 per gallon is $ 76.234.
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The double number line shows that the distance from the start of a hiking trail to a cave
entrance is 700 m.
Answers
Answer:
100, 25, 50
Step-by-step explanation:
\(700: \frac{700}{700} \times 100=100 \\ \\ 175: \frac{175}{700} \times 100=25 \\ \\ 350: \frac{350}{700} \times 100=50\)
PLEASE ANSWER THIS ILL GIVE BRAINLIEST
Answers
Answer:
sorry
Step-by-step explanation:
If sales tax is 6 percent, how much sales tax must you pay on an oven that costs $362?
Answers
Answer:
Sales tax is 6%
The cost of the oven is $362
Sales tax for the oven will be 6% of $362
=6/100 x $362
=0.06 x $362
=$21.72
Step-by-step explanation:
Of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is White, and 12% are associate's degrees earned by Whites. What is the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree
Answers
The conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.
Given that of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is White, and 12% are associate's degrees earned by Whites, to determine what is the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, the following calculation should be performed:
A cross multiplication must be applied to obtain the percentage of whites who have obtained an associate degree. 21 = 100 12 = X 12 x 100/21 = X 1200/21 = X 57.14 = XTherefore, the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.
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Fabiola is a college student. She orders $130 worth of supplies but uses a 15% off coupon. How much money will Fabiola save using the discount coupon?
Answers
Answer:
19.50
Step-by-step explanation:
130-110.50 is 19.5 so she saved $19.50
For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.
ASAAP NEED HELLPPP
Answers
Answer:
regular: Eirregular: A, B, Dneither: CStep-by-step explanation:
You want to identify the given shapes as a regular or irregular polygon, or neither.
Regular polygonA regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.
Polygon E is a regular polygon.
PolygonA polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.
Any simple polygon that is not a regular polygon is an irregular polygon.
Polygons A, B, D are irregular polygons.
CircleA circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.
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what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Which could be the set of ordered pairs of the function?
Answers
An ordered pair of the function is (x, y).
Function:
In math, a set of ordered pairs in which each x-element has Only One y-element associated with it is known as function.
Given,
Here we need to define the ordered pair of the function.
In order to find the order pair of the function, first we have to know the definition of ordered pair,
In math, ordered pair contains the coordinates of one point in the coordinate system.
Where a point is named by its ordered pair of the form of (x, y).
Here the first number corresponds to the x-coordinate and the second to the y-coordinate.
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Kira set a goal to walk 60 miles this month. She walks at a consistent rate of 4 miles per
hour. How long will Kira have to walk in order to reach her goal?
Write and solve an equation to find the answer.
Answers
Answer:
15
Step-by-step explanation:
The equation helpful to find the number of hours it takes to reach her goal is 4x = 60 and it takes 15 hours to reach her goal.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
As per the given,
Goal = 60 miles
Rate of walking = 4 miles per hour
Suppose after x hour she will reach her goal.
After x hour ⇒ 4x = 60 miles
x = 60/4 = 15 miles
Hence "4x = 60 is a useful equation to determine how many hours it will take her to achieve her objective, and it will take her 15 hours".
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One half of 96 is equal to 80% of what number?
(A) 35
(B) 60
(C) 76
(D) 84
(E) 90
Answers
B
48=60x80%
For each of these collections of premises, what relevant conclusion or conclusions can be drawn?
a) “If I take the day off, it either rains or snows.” “I took Tuesday off or I took Thursday off.” “It was sunny on Tuesday.” “It did not snow on Thursday.”
b) “If I eat spicy foods, then I have strange dreams.” “I have strange dreams if there is thunder while I sleep.” “I did not have strange dreams.”
c) “I am either clever or lucky.” “I am not lucky.” “If I am lucky, then I will win the lottery.”
d) “Every computer science major has a personal computer.” “Ralph does not have a personal computer.” “Ann has a personal computer.”
Answers
We can conclude that it did not rain on Tuesday (since it was sunny) and it did not snow on Thursday.
a) From the premises, we can conclude that it did not rain on Tuesday (since it was sunny) and it did not snow on Thursday. However, we cannot draw a definite conclusion about whether it snowed or rained on either day since the premises only establish possibilities rather than certainties.
b) The conclusion we can draw is that neither spicy foods nor thunder occurred, as the person did not have strange dreams. However, we cannot determine whether the absence of spicy foods or the absence of thunder is the cause of not having strange dreams.
c) The relevant conclusion is that the person is clever, as they have stated they are either clever or lucky and have confirmed that they are not lucky. However, we cannot draw a conclusion about winning the lottery since the person being lucky is a necessary but not sufficient condition for winning the lottery.
d) The conclusion we can draw is that Ralph is not a computer science major, as he does not have a personal computer. We can also conclude that Ann is a computer science major since she has a personal computer, which aligns with the given premise that every computer science major has a personal computer.
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HELP ME IM TOTALLY LOST AND HAVE A HARD TIME ASKING PEOPLE FOR HELP
Answers
Answer:
a. 1,323,002
Step-by-step explanation:
help help hep me sorry for like a million queestions
Answers
Answer:
1/12. Larger the disparity between numerator and the denominator (with the denominator the larger), the smaller the fraction!
Which value for x makes the open sentence true?
5+4⋅x=3²+x²
a. 5
b. 4
c. 3
d. 2
Answers
Answer:
D) 2
Step-by-step explanation:
First Method: Solve for xThere are two ways to find what value of x will make this equation true. The first method is to solve for x in the equation.
The given equation is:
\(5+4*x=3^2+x^2\)Rewrite this equation by evaluating the exponent on the right side of the equation, and make 4 * x = 4x.
\(5+4x=9+x^2\)Subtract \((5+4x)\) from both sides of the equation (so we can keep the \(x^2\) positive). It's just preference.
\(0=9+x^2-5-4x\)Simplify the right side of the equation by combining like terms and rearranging terms to follow the format of \(ax^2+bx+c\).
\(0=x^2-4x+4\)Factor this quadratic by seeing what two terms multiply to \(4\) and add up to \(-4\). These two terms are \(-2\). Notice that this is a perfect square.
\(0=(x-2)(x-2)\)Solve for x by setting the expressions inside the parentheses equal to 0.
\((x-2) = 0 \\ x - 2 = 0 \\ $Add to both sides of the equation.$\\ x =2\)This means that answer choice D) 2 is correct.
Second Method: Plug in the answer choicesThe second method is to substitute the given answer choices into the equation, which works when you are given answer choices. Otherwise, the first method is ideal.
Use the form of the equation where we set all the terms equal to 0.
\(0=x^2-4x+4\)Start with answer choice A, and work your way up to D to check all of them.
A) Substitute 5 for x into the equation.
\(0=(5)^2-4(5)+4 \\ 0 = 25 - 20 + 4 \\ 0=1\)This is a false statement; 0 does not equal 1.
B) Substitute 4 for x into the equation.
\(0=(4)^2-4(4)+4 \\ 0= 16-16+4 \\ 0=4\)This is a false statement; 0 does not equal 4.
C) Substitute 3 for x into the equation.
\(0=(3)^2-4(3)+4 \\ 0=9-12+4 \\ 0=1\)This is a false statement; 0 does not equal 1.
D) Substitute 2 for x into the equation.
\(0=(2)^2-4(2)+4 \\ 0=4-8+4 \\ 0=0\)This is a TRUE statement; thus, the answer is D) 2.
Chang will run at least 21 miles this week. So far, he has run 12 miles. What are the possible numbers of additional miles he will run?
Use t for the number of additional miles he will run.
Write your answer as an inequality solved for t.
Answers
Using an inequality to represent the problem, Chang must run at least an additional 9 miles or greater than 9 miles
What is an InequalityIn Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
To find the number of additional miles he will run, let's set the unknown number equals t
12 + t > 21
t > 21 - 12
t >9
Chang will need to run at least 9 miles
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help me do this plz brainiest to whoever right
Answers
Answer:
X= 150º
Y= 60º
(I strongly recommend reading the explanation so you can understand it because its way easier than you think!!)
Step-by-step explanation:
2x+90=5x
-2x -2x
90=3x
x=30
2(30)+90= 150º
5(30)=150º
Angle x= 150º
Both angles are congruent because they are vertical angles!!
Now we gotta figure out y so you see that there are two lines crossing. (Both sides will work for this) Both angles are supplementary angles which means they combine to make a 180º angle. So if we already know both sides of x are 150º then we can infer that 150+y=180. All you have to do now is subtract 150 from 180 and you will get y.
180º-150º= 30º
Angle y= 30º
But that is not all do not forget that is says (3y)º which means we gotta multiply y by 3.
Sooo 30 x 3 is 60º
Therefore that angle is 60º
The width of a rectangle is the length minus 3 units. The area of the rectangle is 28 square units. What is the length, in units, of the rectangle?
Answers
The length of a rectangle cannot be negative, hence the length of the rectangle is 7 units.
Finding area and perimeter of triangleBased on the question given, the width (W) is the length (L) minus 3 units, which can be expressed as:
W = L - 3
The formula for the area (A) of a rectangle is:
A = Length × Width
We are given that the area is 28 square units, so:
A = 28
Now, we can substitute the expressions for width (W) and area (A) into the area formula:
28 = L × (L - 3)
Now, we need to solve this quadratic equation for L. First, expand the equation:
28 = L^2 - 3L
Now, rearrange the equation in standard quadratic form
L^2 - 3L - 28 = 0
To solve this quadratic equation, you can factor it:
(L - 7)(L + 4) = 0
Now, set each factor equal to zero and solve for L:
L - 7 = 0
L = 7
L + 4 = 0
L = -4
Since the length of a rectangle cannot be negative, hence the length of the rectangle is 7 units.
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find the measure of angle b
Answers
Answer:
74 degrees
Step-by-step explanation:
It's a vertical angle
Answer:
74º
Step-by-step explanation:
Vertical angles are always the same. It's a rule in geometry.
ons and Inequalities 9 The model shown can be used to solve the
Answers
By looking at it, we have that c would be one o our steps, since it would be 2x = 8 in the solution.