Answer:
Domain: (-oo, oo)
Range: (-4,oo)
Horizontal asymptote: y=-4
Answer:
The domain is all Real numbers.
The range is all real values > -4.
Step-by-step explanation:
The asymptote is y = -4.
10 4/5 - 2 1/5
I am having trouble finding this answer please help
Answer:
8 3/5
Step-by-step explanation:
subtract the whole numbers first and then the fractions. you have 10 4/5-2 1/5. subtract the whole numbers and you have 8(put that off to the side). then do 4/5-1/5. 4-1=3 and the denominators stay the same so you have 3/5. you don’t need to simplify so your final answer is 8 3/5.
Answer:
43 / 5 or 8 3/5
Step-by-step explanation:
a=πr^2 solve for π please help
Answer:
π = a/(r²) = a÷(r²)
Answer:
pie is equal to the square root of A divided by r
Step-by-step explanation:
Set the equation first...a=pie times r squared. Then u need to get rid of everything to make pie by itself. U square both sides or all the equation. the square cancels out and on the other side, it will be the square root of a. Next, divide by r on each sides. The r cancels out. Then it's gonna be pie =the square root of a all over r. It can't be a/r square because in the original...pie is being multiplied by r which is squared so that means both variables are squared. U cant find pie if the square is stopping it so u square for the very first step
21. Three vertices of DEFG are D(2,3),E(-5,2),G(6,6). Find the coordinates of F.
The calculated coordinates of the point F is (-1, 5)
How to determine the coordinates of F
From the question, we have the following parameters that can be used in our computation:
D(2,3),E(-5,2),G(6,6)
We have that
The quadrilateral DEFG is a parallelogram
This means that the opposite sides have equal slopes
i.e.
Slope of DE = Slope of FG
Using slope formula, we have
(3 - 2)/(2 + 5) = (y - 6)/(x - 6)
This gives
1/7 = (y - 6)/(x - 6)
Cross multiply
x - 6 = 7y - 42
x = 7y - 36
Set y = 5
So, we have
x = 7 * 5 - 36
x = -1
So, we have
(x, y) = (-1, 5)
Hence, the coordinates of the point F is (-1, 5)
Question
Consider the parallogram DEFG with three vertices D(2,3),E(-5,2),G(6,6). Find the coordinates of F.
Final answer:
To find the coordinates of vertex F in the parallelogram DEFG with given vertices D(2,3), E(-5,2), and G(6,6), we can use vector subtraction to deduce that the coordinates of F are (-1, 5).
Explanation:
The question requires us to find the coordinates of vertex F of the quadrilateral DEFG given that we have the coordinates of vertices D(2,3), E(-5,2), and G(6,6). Assuming that DEFG is a parallelogram (as the question implies a symmetry-based approach though it doesn't specify), we can find F using the properties of parallelograms, which dictate that opposite sides are equal and parallel. The vector from D to E is ∂D = (-5 - 2, 2 - 3) = (-7, -1), and the vector from G to F (let's call it F's coordinates (x, y)) would be equivalent, as they are opposite sides. So, G + ∂D = F. Substituting G's values, we get (6 - 7, 6 -1), which simplifies to (-1, 5). Thus, the coordinates of F are (-1, 5).
Are there any lines that cannot be written in standard form? If so which ones?
Answer:
Any equation that cannot be written in standard form form in nonlinear.
Step-by-step explanation:
Considering the equation in standard form as
[tex]ax + by = c[/tex]
For example here is the sample equation [tex]3x - 2y = 4[/tex] is in standard form.
Very much every linear equation can be written in standard form.
There are certain rules that need to be followed for any lines to be in standard form, violation of which would not let certain lines to be written in standard form. These rules are:
[tex]a[/tex] or [tex]b[/tex] can be zero, but not both at the same time. [tex]a, b,[/tex] and [tex]c[/tex] are integers[tex]a\ge \:0[/tex][tex]a, b,[/tex] and [tex]c[/tex] have no common factors other than 1Any equation that cannot be written in this form in nonlinear.
Keywords: linear equation, standard form, nonlinear equation
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find a bank account balance if the account starts with $100 has an annual rate of 4% and the money left in the account for 12 years
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6 times 4 - 12 divided by 3 - 8
Answer:
-4
Step-by-step explanation:
6 times 4 equals 24
24 minus 12 equals 12
12 divided by 3 equals 4
4 minus 8 equals -4
(btw i did this in the order from the question and not BIDMAS )
8. A farmer owns a total of 10 acres of land. The land is separated into 6
equally sized sections. How many
acres are in each section?
Write your answer as a mixed number in simplest form.
Answer: 8/5 or 1 ⅗ acres
Step-by-step explanation:
Factor the following polynomial by grouping.
xy + 2y2 + 3x + 6y
OA) (x+y)(2y + 3)
OB) (x+2y)(y + 3)
OC) (x+3y) (y + 2)
OD) (x+y)(3y + 2)
Option B
The factored form by grouping is:
[tex]xy+2y^2+3x+6y = (x+2y)(y+3)[/tex]
Solution:
Given that we have to factor the given polynomial by grouping
Given polynomial is:
[tex]xy+2y^2+3x+6y[/tex]
Factoring by grouping means that you will group terms with common factors before factoring.
This is done by grouping a pair of terms. Then factor each pair of two terms
In the given polynomial, group the terms that has "x" as common and group the terms that has "y" as common
[tex](xy+3x)+(2y^2+6y)[/tex]
Factor out "x" from first group and factor out "2y" from second group
[tex]x(3+y)+2y(y+3)[/tex]
Factor out y + 3
[tex]x(3+y)+2y(y+3) = (x+2y)(y+3)[/tex]
Thus the factored form by grouping is:
[tex]xy+2y^2+3x+6y = (x+2y)(y+3)[/tex]
Find the slope given in the graph above.
Answer:
-1/3
Step-by-step explanation:
it goes down one and over three
Answer: your slope would be -[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
A Web music store offers two versions of a popular song the size of the standard version is 2.7 MB the size of a high-quality version is 4.1 MB yesterday there were 1130 downloads of the song for a total download size of 3723 MB. How many downloads of the high-quality version where there
Answer:
480
Step-by-step explanation:
Let h represent the number of high-quality downloads. Then the total download size is ...
4.1h +2.7(1130-h) = 3723
1.4h = 672 . . . . . . . . . . . . . . subtract 2.7·1130 = 3051
h = 480 . . . . . . . divide by 1.4
There were 480 downloads of the high-quality version.
I’m so condfused! Can someone please get the answer for me?
Answer:
36
Step-by-step explanation:
If you see this kind of problem do this two steps:
1. Multiply the numerator and the multiplier.
2. Divide the result with the denominator.
[tex]\frac{3}{10}[/tex] × 120
3 × 120 = 360 (STEP 1)
360 ÷ 10 = 36 (STEP 2)
Answer:
36
Step-by-step explanation:
4. A geometric sequence is defined recursively by a(1) = 40 and a(n)= a(n-1)
(a) Write out the first four terms of this sequence.
(b) Is the 9th term of this sequence larger or smaller than 1/10? Show the calculation that you use to determine your answer.
The complete question is:
A geometric sequence is defined recursively by
[tex]a_{(1)}=40\text{ and }a_n=(-1/2)a_{(n-1)}[/tex]
(a) Write out the first four terms of this sequence.
(b) Is the 9th term of this sequence larger or smaller than 1/10? Show the calculation that you use to determine your answer.
Answer:
The 9th term is larger than 1/10.Explanation:
You are given the first term, [tex]a_(1)=40[/tex] , and the recursive formula
[tex]a_{(n)}=(-1/2)a_{(n-1}[/tex]
Thus, you can find the sequence of terms by multiplying each term by the constant ratio, (-1/2).
(a) First four terms of the sequence
[tex]a_{(1)}=40\\ \\ a_{(2)}=40\times (-1/2)=-20\\ \\ a_{(3)}=-20\times (-1/2)=10\\\\ a_{(4)}=10\times (-1/2)=-5[/tex]
Those are the first four terms.
(b) 9th term
You can write the explicit formula of the sequence as:
[tex]a_{(n)}=a_{(1)}\times r^{(n-1)}\\ \\ a_{(n)}=40(-1/2)^{(n-1)}[/tex]
Thus, for the 9th term, n = 9, and the term is:
[tex]a_{(9)}=40\times (-1/2)^{(9-1)}\\ \\ a_{(9)}=40\times(-1/2)^8\\ \\ a_{(9)}=40\times(1/256)=0.1526[/tex]
Since 1/10 = 0.1, and 0.1 < 0.1526, the 9th term is larger than 1/10.
What is the absolute value and solution set of |x|=-4
Katy bought a candy bar and shared it with her two sisters. She gave her youngest sister 1/4 of the candy bar. Her older sister received 1/3 of the candy bar. How much of the candy bar did Katy keep?
Answer:
5/12
Step-by-step explanation:
1/4×3/3=3/12
1/3×4/4=4/12
4/12+3/12=7/12
12/12-7/12=5/12
Brian sold half of his baseball cards. The next day, he bought 10 more. Now he has a total of 50 cards. Write and solve an equation to determine how many baseball cards he had before he sold any. Let b represent the number of baseball cards he had.
Answer:
80
Step-by-step explanation:
50*2= b b/2=40 40+10=50
Answer: 20 pencils and 80 cards
Step-by-step explanation:
About 106 baby boys are born for every 100 baby girls. Write this as a simplified ratio of males to females
Answer:
53/50
Step-by-step explanation:
The ratio of males to females is 53:50.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Number of baby boys = 106
Number of baby girls = 100
So, the ratio of males to females
= 106/100
= 53/50
Hence, the ratio of males to females is 53:50.
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Write 2339 in scientific notation
Answer:
2.339×10^3
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
2.339×10^3
A parking lot with an area of 9600ft^2 has a 200ft fence built along two adjacent sides of lengths x and y. If you were asked to find the dimensions of the parking lot, what equations would you used for the perimeter and area of the parking lot?
Answer:
[tex]\left\{\begin{array}{l}x+y=200\\ \\xy=9,600\end{array}\right.[/tex]
Step-by-step explanation:
The diagram shows rectangular parking lot with sides of [tex]x[/tex] feet and [tex]y[/tex] feet.
1. The area of the rectangle is
[tex]A=Length\times Width=xy.[/tex]
If the area of the parking lot os [tex]9,600\ ft^2,[/tex] then
[tex]xy=9,600[/tex]
2. A parking lot has a [tex]200\ ft[/tex] fence built along two adjacent sides of lengths [tex]x[/tex] and [tex]y[/tex], then
[tex]x+y=200[/tex]
3. The system of two equations describing this situation is
[tex]\left\{\begin{array}{l}x+y=200\\ \\xy=9,600\end{array}\right.[/tex]
The midpoint of AB??
Answer:
(0, 0)
Step-by-step explanation:
You can see immediately that the line AB passes through (0, 0) (the origin) and that points A and B are equidistant from the origin. In other words, (0, 0) is the midpoint of line AB.
Answer:
( 0 , 0 )Step-by-step explanation:
If f(x) = 4x - 2, what is the y-intercept of f^-1 (x)?
1/4, 1/2, -1/2, -2
Answer:
1/2
Step-by-step explanation:
The y-intercept is [tex]\frac{1}{2}[/tex].
Given that f(x) = 4x-2.
To find the inverse function:
1) Write f(x) = y
2) Switch x and y.
3) Solve for y.
4) Write [tex]y=f^{-1}\left(x\right)[/tex].
So,
[tex]f(x) = 4x - 2\\y=4x-2\\x=4y-2\\4y=x+2\\y=\frac{\left(x+2\right)}{4}\\y=\frac{1}{4}x+\frac{2}{4}\\y=\frac{1}{4}x+\frac{1}{2}\\f^{-1}\left(x\right)=\frac{1}{4}x+\frac{1}{2}[/tex]
Comparing this with y=mx+b,
b = y-intercept = [tex]\frac{1}{2}[/tex]
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( 2/3 a^2b^2)^2·(−3ab)^4
The answer to that problem is:
[tex]36 {a}^{8} {b}^{8} [/tex]
Hope This Helps! :)
Help, please! And also attempt to show work, thank you!
Since you know the value of n = 3, plug in 3 for n in the equation
4(n + 1)
4(3 + 1)
4(4)
= 16
Identify all factors of the expression 〖4x〗^2+17x-15.
The factors of given expression are: -5 and 3/4
Step-by-step explanation:
Given equation is:
[tex]4x^2+17x-15[/tex]
Making pairs for the mid-term 17x by factoring the product of co-efficient of 4x^2 and 15
[tex]4x^2+20x-3x-15[/tex]
[tex]= 4x(x+5) - 3(x+5)[/tex]
[tex]=(4x-3)(x+5)[/tex]
Now
[tex]4x-3 = 0\\4x = 3\\x = \frac{3}{4}[/tex]
[tex]x+5 = 0\\x = -5[/tex]
Hence,
The factors of given expression are: -5 and 3/4
Keywords: Quadratic equation, factors
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3x+2=3x+2
Is this one solution, no solution, or infinite solution
Answer:
infinite solution
Step-by-step explanation:
no matter what you have for x, 3x still equals 3x, so it is infinite
The price of a pair of headphones at Store A is 3/4
the price at Store B. The price at Store A is $72.75. Find how much you save by buying the headphones at Store A.
Answer:
Step-by-step explanation:
A = 3/4B
A = 72.75
3/4B = 72.75
B = 72.75 * 4/3
B = 291/3 = 97
you would save (97 - 72.75) = $ 24.25 when buying them at store A
By calculating the original price of the headphones at Store B and subtracting the price at Store A, we find that you would save $24.25 by purchasing the headphones at Store A.
Explanation:To find out how much you save by buying the headphones at Store A, we need to determine the original price of the headphones at Store B.
Let's denote the price at Store B as P. According to the information given, the price at Store A is 3/4 of the price at Store B. We can write the following equation:
P × (3/4) = $72.75
Solving for P, we get:
P = $72.75 ÷ (3/4)
P = $72.75 ÷ 0.75
P = $97.00
Therefore, the price of the headphones at Store B is $97.00. To find the savings, subtract the price at Store A from the price at Store B:
Savings = Price at Store B - Price at Store A
Savings = $97.00 - $72.75
Savings = $24.25
By buying the headphones at Store A, you save $24.25.
What is the length of line segment AB?
1 inch
v3 inches
4 inches
475 inches
Answer:
[tex]AB=\sqrt{3}\ in[/tex]
Step-by-step explanation:
The correct question is
The diagonal of rectangle ABCD measures 2 inches in length.
What is the length of line segment AB?
The picture of the question in the attached figure
we know that
In the right triangle ABD
[tex]cos(30^o)=\frac{AB}{BD}[/tex] ----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
[tex]cos(30^o)=\frac{AB}{2}[/tex]
Remember that
[tex]cos(30^o)=\frac{\sqrt{3}}{2}[/tex]
so
[tex]\frac{AB}{2}=\frac{\sqrt{3}}{2}[/tex]
[tex]AB=\sqrt{3}\ in[/tex]
Answer:
B
Step-by-step explanation:
the answer is B on edge.
Guys please help!! I need the answer as fast as possible.
Answer:
It is NOT possible for a solution to be both x<9 and x>9
It IS possible for a solution to be both x≤9 and x≥9
Step-by-step explanation:
Because for x<9 and x>9 the GREATER than symbol means it less than 9 and cannot be 9 or it is greater than 9 but cannot be 9.
With x≤9 and x≥9 the greater than or EQUAL sign makes a big difference. Because x≥9 may be the actual solution but since it is possible to be equal to 9 so can x≤9.
(Sorry if this seemed very confusing to explain).
Find the values of x and y that satisfy both equations below.
[tex]27 ^{x - 2} = 9^{y} \\ 32 ^{y - \frac{3}{5} } = \frac{1}{8 ^{2x} } [/tex]
Answer:
The answer to your question is (4/3, -1)
Step-by-step explanation:
Convert both equations to the same base
[tex]27^{x - 2} = 9^{y}[/tex]
27 = 3 x 3 x 3 = 3³
9 = 3 x 3 = 3²
Substitution
[tex]3^{3(x - 2)} = 3^{2y}[/tex]
Simplify
3x - 6 = 2y Equation l
[tex]32^{y - 3/5} = \frac{1}{8^{2x}}[/tex]
32 = 2 x 2 x 2 x 2 x 2 = 2⁵
8 = 2 x 2 x 2 = 2³
2[tex]^{5(y - 3/5)} = 2^{-3(2x)}[/tex]
Simplify
5y - 3 = -6x Equation ll
Equal to zero both equations
3x - 2y - 6 = 0 Equation l
6x + 5y - 3 = 0 Equation ll
Solve by elimination
Multiply equation l by 5 and equation ll by 2
15x - 10y - 30 = 0
12x + 10y - 6 = 0
27x -36 = 0
Solve for x
27x = 36
x = 36 / 27
Simplify x = 4/3
Find the y value
6(4/3) + 5y - 3 = 0
8 + 5y - 3 = 0
5y = -8 + 3
5y = -5
y = -5/5
y = -1
Solution
(4/3, -1)
What weighs more 4 pounds of books or 60 ounces of pebbles
Answer: 60 ounces of pebbles
What does y+3>5 equal
Answer:
if you're solving for inequality its y>2