The x-intercept of both the functions is 0. Therefore, option A is the correct answer.
The given functions are f(x)=2x/(x+4) and g(x)= -log3(x+3)+1.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Find the horizontal asymptotes by comparing the degrees of the numerator and denominator.
For f(x)=2x/(x+4)
Vertical Asymptotes: x=-4
Horizontal Asymptotes: y=2
No Oblique Asymptotes
For g(x)= -log3(x+3)+1
An asymptote is a line that a curve approaches, but never touches. Find the horizontal, vertical, and oblique asymptotes.
No Vertical Asymptotes
No Horizontal Asymptotes
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (0,0)
y-intercept(s): (0,0)
The x-intercept of both the functions is 0. Therefore, option A is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ1
what is the value of the underlined digit?
HELP! how do you solve it
Using Venn diagram, The value of x is equal to 15.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that 50 students study at least one of the subjects geography (G), mathematics (M) and history (H).
Thus, 18 study only mathematics. 19 study two or three of these subjects.
23 study geography.
G + M - (x + 7) = 23 + 18 -(x + 7) = 19
23 + 18 -(x + 7) = 19
41 - x - 7 = 19
x = 15
Therefore,the value of x is 5.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ1
find the value of unknowns in each of the following
chapter matrices
with full workings and explanations
The value of the unknowns are w = 5 , x = 12 , y = 1 and z = 15
What is a Matrix?
In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object
A+B = B+A Commutative Law of Addition.
A+B+C = A +(B+C) = (A+B)+C Associative law of addition.
ABC = A(BC) = (AB)C Associative law of multiplication.
A(B+C) = AB + AC Distributive law of matrix algebra.
R(A+B) = RA + RB
Given data ,
Let the Matrix be A
Now , the given matrices are
[tex]2\left[\begin{array}{ccc}w&2\\5&z\\\end{array}\right] + 3\left[\begin{array}{ccc}2&x\\-2&-6\\\end{array}\right] =4\left[\begin{array}{ccc}4&7\\y&3\\\end{array}\right][/tex]
On simplifying the matrices , we get
[tex]\left[\begin{array}{ccc}2w&4\\10&2z\\\end{array}\right] + \left[\begin{array}{ccc}6&2x\\-6&-18\\\end{array}\right] =\left[\begin{array}{ccc}16&28\\4y&12\\\end{array}\right][/tex]
Now , from the distributive law of matrices ,
2w + 6 = 16 be equation (1)
4 + 2x = 28 be equation (2)
10 - 6 = 4y be equation (3)
2z - 18 = 12 be equation (4)
So on simplifying the equation , we get
2w + 6 = 16 be equation (1)
Subtracting 6 on both sides , we get
2w = 10
Divide by 2 on both sides , we get
w = 5
So on simplifying the equation , we get
4 + 2x = 28 be equation (2)
Subtracting 4 on both sides , we get
2x = 24
Divide by 2 on both sides , we get
x = 12
So on simplifying the equation , we get
10 - 6 = 4y be equation (3)
4y = 4
Divide by 4 on both sides , we get
y = 1
So on simplifying the equation , we get
2z - 18 = 12 be equation (4)
Adding 18 on both sides , we get
2z = 30
Divide by 2 on both sides , we get
z = 15
Therefore , the values are w = 5 , x = 12 , y = 1 and z = 15
Hence , The value of the unknowns are w = 5 , x = 12 , y = 1 and z = 15
To learn more about matrices click :
https://brainly.com/question/13215296
#SPJ1
Compare the function f(x)=3x-1/2 to the function shown in the graph. Which statements are correct?
Answer: B
Step-by-step explanation:
For [tex]f(x)=3x-\frac{1}{2}[/tex], comparing it with slope-intercept form yields that the slope is [tex]3[/tex] and the [tex]y[/tex]-intercept is [tex]-1/2[/tex].
For the graphed function, the slope is [tex]\frac{-4-0}{-2-6}=\frac{1}{2}[/tex] and the [tex]y[/tex]-intercept is about [tex]-3[/tex].
Since the absolute value of the slope of the graphed function is less than that of [tex]f(x)[/tex], option B is correct.
In circle G with m \angle FGH= 150m∠FGH=150 and FG=12FG=12 units find area of sector FGH. Round to the nearest hundredth.
The area of the sector of circle G is calculated as; 18.85 sq. units
What is the area of the sector?
The formula for the area of a sector is;
A = θ/360 * πr²
where;
A is area
r is radius
θ is central angle
We are given;
Radius of sector; r = 12 units
Central angle; θ = 15°
Thus;
A = 15/360 * π(12)²
A = 18.85 sq. units
Read more about Area of Sector at; https://brainly.com/question/22972014
#SPJ1
Please help me urgently!!!!
Lots of points!!!
Answer:
See Picture
Step-by-step explanation:
A certain shampoo is available in two sizes. A 13.5-ounce bottle costs $2.19. what is its unit price
The difference between the two is only 0.01 %. The first size is a better purchase for Unit Price even though both might be rounded off to $0.3/oz.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
A shampoo's unit price is its cost per ounce. It is a straightforward division problem that may be solved with a simple calculator or pen and paper.
The first size weighs 14.2 ounces and costs $3.98.
This shampoo's unit price is ($3.98/14.2 oz) = $0.28/oz ( rounded off to nearest cent)
The second size weighs 33.9 ounces and costs $9.98.
The second shampoo's unit price is ($9.98/33.9 oz) = $0.29/oz (also rounded off to nearest cent)
Hence, There is just a 0.01% difference between the two. Even though both sizes may be rounded to $0.3/oz, the first size is the preferable choice in terms of unit price.
learn more about unitary method click here:
brainly.com/question/24587372
#SPJ1
Complete Question-
A certain shampoo is available in two sizes. A 13.5 ounce bottle costs $2.19, A 29.2 ounce bottle costs $5.37. Find the unit price for each size. then state which size is the better buy based on the unit price. Round your answers to the nearest cent.?
Write the equation of the line that is parallel to y=-1/2x-3 and that will pass through the point (4,-1) . Write your answer in slope-intercept form
The equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.
What is the slope of the equation?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
To find the equation of a line that is parallel to y = -1/2x - 3 and passes through the point (4, -1), we can use the point-slope form:
y - y1 = m(x - x1)
where (x1, y1) is the given point, and m is the slope of the line.
Since the given line is parallel to y = -1/2x - 3, it has the same slope, which is -1/2. Substituting this value for m and the coordinates of the given point into the point-slope form, we get:
y - (-1) = (-1/2)(x - 4)
Combining like terms and multiplying through the parentheses, we get:
y + 1 = -1/2x + 2
Hence, the equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.
To learn more about the slope of the equation visit,
brainly.com/question/3493733
#SPJ1
URGENT HELP ⚠️
The point (-2, -4) is reflected across the y-axis, followed (x-4, y+3). Find the coordinates of the image point.
Group of answer choices
(-6, -1)
(-2, 7)
(-2, -1)
(-4, -1)
By using the concept of reflection, it can be calculated that-
Value of x is 6 and value of y is -7
What is reflection?
Reflection is a mathematical transformation in which a mirror image of an object can be formed with respect to a line called the line of reflection.
The point is (-2, -4)
(-2, 4) is reflected across y-axis
New coordinate after reflection = (2, -4)
By the problem,
(x - 4, y + 3) = (2, -4)
x - 4 = 2
x = 2 + 4
x = 6
y + 3 = -4
y = -4 - 3
y = -7
To learn more about reflection, refer to the link-
https://brainly.com/question/26642069
#SPJ1
Write a linear equation in the form y=mx+b that represents the table. x 0 1 2 3 4 y 15 13 11 9 7
Answer: A linear equation in the form y = mx + b can be determined by examining the values in the table. To find the value of m, we can use the formula for the slope of a line, which is (y2 - y1) / (x2 - x1). Using the first and last values in the table, we can compute the slope as (7 - 15) / (4 - 0) = -1/4.
Therefore, the equation that represents the table is:
y = (-1/4) * x + b
We can use any of the given points to find the value of b. For example, using the point (1, 13), we can solve the equation to find b:
13 = (-1/4) * 1 + b
b = 14 - 1/4 = 13 3/4
Therefore, the final equation that represents the table is:
y = (-1/4) * x + 13 3/4
What are the x-intercepts for the graph below?
A. (0,5), (0, -2)
OB. (-5, 0), (-2, 0)
OC. (5,0), (2, 0)
OD. (0,-5). (-2, 0)
Answer:
B
Step-by-step explanation:
Juan collected 1 1/2 bins of glass bottles to recycle. Richard collected 4 2/3 times as many
bins as Juan. How many bins of bottles did Richard collect?
Write your answer as a fraction or as a whole or mixed number.
Please help
Answer:
Step-by-step explanation:
8 1 5
Determine the coupon payments for the following three bonds: 5. 5% coupon corporate bond (paid annually), 6. 45% coupon treasury note, and a corporate zero-coupon bond maturing in 10 years. (assume $1,000 par value. ).
For the 5.5% coupon corporate bond, the coupon payment would be $55 per year. For the 6.45% coupon treasury note, the coupon payment would be $64.50 per year.
What is Percentage?Calculations using percentages show how much a given number contributes to the total. It is computed by dividing the number by the sum and multiplying by 100. It is denoted by the sign "%." For example, if a basket contains ten apples, three of which are red, the proportion of red apples in the basket is 30% (3/10 x 100). In a wide range of disciplines, including business, statistics, and education, percentage is often utilized. Calculating interest rates, taxes, and other financial activities in the finance industry annually frequently uses percentages. The frequency of events or the likelihood of a certain outcome are both measured using this method in statistics. Calculating grades and evaluating a student's overall performance are both done using this in education.
How to solve?
For the 5.5% coupon corporate bond, the coupon payment would be 5.5% of $1,000 = $55 per year.
For the 6.45% coupon treasury note, the coupon payment would be 6.45% of $1,000 = $64.50 per year.
For the corporate zero-coupon bond maturing in 10 years, there are no coupon payments. The bond will only make a payment of $1,000 at maturity.
To learn more about percentage, visit:
https://brainly.com/question/29306119
#SPJ4
Edwina measured the length of this swimming pool by drawing similar triangles as shown. What is the best estimate of p, the length of the swimming pool?
The measure of length of side p is 33 ft .
What is measure of length?
Some of the commonly used units for measuring length are centimeters, millimeters, meters, inches, feet, yards, feet, etc. Some of the units to measure mass are pounds, ounces, kilograms, grams, centigrams, milligrams, etc.
Given as the length of the swimming pool measured by drawing similar triangle :
I.e The smaller Triangle similar to larger Triangle
Let o is the points of meeting of two triangles
And OAB is smaller triangle having sides OA , AB , BO
The measure of side OA = 8 ft
The measure of side AB = 12 ft
Again, OPQ is larger triangle having sides OP , PQ , QO
The measure of side OP = 22 ft
The measure of side PQ = p ft
∵ both Δ OAB and ΔOPQ are similar
The from similarity property
[tex]\begin{aligned}& \frac{P Q}{A B}=\frac{O P}{O A} \\& \text { l.e } \frac{p}{12}=\frac{22}{8} \\& \text { Or, } \frac{p}{12}=\frac{11}{4} \\& \therefore \mathrm{p}=\frac{11}{4} \times 12 \\& \text { or. } \mathrm{p}=11 \times 3 \\& \text { l.e } \mathrm{p}=33 \mathrm{ft}\end{aligned}[/tex]
Hence, the measure of length of side p is 33 ft .
To learn more about measure of length visit:https://brainly.com/question/22161375
#SPJ1
A rectangular parking lot must have a perimeter of 520 feet and an area of at least 12,000 square feet. Describe the possible lengths of the parking lot.
The required possible lengths of the parking lot is 300.
Explain perimeter and area.The perimeter of a shape is characterized as the complete length of its limit. The border of a not entirely set in stone by adding the length of the relative multitude of sides and edges encasing the shape.
The area of a shape is the "space encased inside the border or the limit" of the given shape. We compute the region for various shapes utilizing math equations.
According to question:Perimeter = 520 feet, area = 12000 feet
We know that,
Perimeter = 2(L + B)
2(L + B) = 520
(L + B) = 260--------(1)
And
Area = L×B = 12000
From equation(1),we get
L(L - 260) = 12000
L^2 - 260L = 12000
L^2 - 260L - 12000 = 0
On solving above quadratic equation
L = 300 or L = -40
Thus, possible value of length is 300.
To know more about Area visit:
brainly.com/question/13194650
#SPJ4
due today pls help thank youuuu
Check the picture below.
3. A graphic designer is developing alternate icons. The square
pixelated image is placed inside a border that is 4 pixels wide on
all sides. If the area of the border of the image is 704 square
pixels, what is the area of the image?
The area of the image is, 7396 square pixels.
what is area?
The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
Let x represent the length and the width of the image.
The area of the image and the border is represented by the expression
(x + 4)^2.
Total area - area of image = Area of border
(x + 4)^2 - x^2 = 704
⇒ x^2 + 8x + 16 - x^2 - 704 = 0
8x - 688 = 0
8x = 688
x = 86
The image will be 86 pixels by 86 pixels.
The area becomes 86*86 = 7396 square pixels.
Hence, the area of the image is, 7396 square pixels.
To know more about area, click on the link
https://brainly.com/question/25292087
#SPJ1
If the original quantity is 10 and the new quantity is 3, what is the percent decrease?
Answer:
The percent decrease is 70%.
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
Please help question in photo
Is a = 9 a solution to the inequality below?
Answer:
No, 9 is not a solution to 12 [tex]\leq[/tex] a
Step-by-step explanation:
The expression 12 [tex]\leq[/tex] a states " 12 is less or equal to a." If a were 9, the statement would not be true, since 9 is less than 12. This contradicts the expression.
the volume of a cube decreases at a rate of 10 m/sec. find the rate at which the side of the cube changes when the side of the cube is 2 m.
If the volume of a cube decreases at a rate of 10 m/sec, then the rate at which the side of the cube changes when the side of the cube is 2 m is -0.83 meter per second
The rate of volume of the the cube decreasing = 10 meter per second
Consider the side of the cube is x
The volume of the cube = x^3
The rate of change of volume with respect to time
dV / dt = 3x^2 dx/dt
dV / dt = -10 meter per second
The dx / dt = (dV / dt) / 3x^2
We haver to find the rate at which side of the cube changes when the side of the cube is 2 meter
Then x = 2
dx / dt = -10 / (3 × 2^2)
= -10 / 12
= -0.83 meter per second
Therefore, the rate at which side of the cube changes when the side of the cubes is 2 meter is -0.83 meter per second
Learn more about volume here
brainly.com/question/4587885
#SPJ4
Solve the equation. Show your work. Express your answer as both a simplified mixed number and as a decimal.
−4.75+0.8x=−3.7
Answer: x = 1.3125
Step-by-step explanation:
−4.75+0.8x=−3.7
First, add 4.75 to both sides
0.8x = 1.05
Then divide by 0.8 on both sides
x = 1.3125
Answer:
x = 1.3125
Step-by-step explanation:
Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace.
Answer
$7
Explaination :
3 bracelet - $5( for 1)
3 necklace - (unknown)
Total amount paid - $40
change - $4
Calculation for all 3 bracelet
$5×3=$15
Calculation for the real amount
$40-$4=$36
Calculation for 3 necklace
$36-$15=$21
Calculation for 1 necklace
$21÷3=$7
There reason I divide it with 3 was because I got the total amount for 3necklace now I only want 1..
Final answer - $7#
Hope this helped :)
Answer:
$7----------------------------
Each bracelet cost $5 and necklace costs x.
The total for 3 of each is:
40 - 4 = 36Set equation and solve for x:
3(5 + x) = 36 Divide both sides by 35 + x = 12 Subtract 5 from both sidesx = 7Lauren had 3/4 gallon of paint he poured in an additional 1/8 gallon from another can. How much paint doe lauren have?
We know that Lauren has 7/8 gallons of paint in total using simple mathematical operations.
What are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.
There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.
The five basic operations in mathematics are addition, subtraction, multiplication, division, and modular forms.
So, we know that:
Lauren has 3/4 gallons of paint.
She later added 1/8 gallon of more paint.
The total paint she has is:
3/4 + 1/8
2(3) + 1/8
6+1/8
7/8
Therefore, we know that Lauren has 7/8 gallons of paint in total using simple mathematical operations.
Know more about mathematical operations here:
https://brainly.com/question/28937023
#SPJ4
Help me pleaseeee I don't know what the answer is
Answer:
Not enough context
Step-by-step explanation:
We need the bar graph/information for the amount child and adult tickets cost.
A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The x-coordinate of the point is 9.
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line y = (2/3)x - 6 ______(1)
Now,
The line passes through a point (x, 0).
(x, 0) = (x, y) ______(2)
Now,
Putting (2) in (1) we get,
0 = (2/3)x - 6
6 = (2/3)x
x = 6 x 3 / 2
x = 9
Thus,
The x-coordinate of the point is 9.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ1
what is the slope and y-intercept of y= 7 over 5 x−5
Two linear functions are shown. Which function has the greater initial value?
The function that has the greater initial value is function A
How to determine the function with the greater value?From the question, we have the following parameters that can be used in our computation:
Function A: table
Function B: y = 3x + 6
The initial value of a function is when the input value is 0
i.e. when x = 0
From the table, we have
x = 0 when y = 8
From the equation, we have
y = 3(0) + 6
y = 6
8 is greater than 6
Hence. function A has the greater initial value
Read more about functions at
https://brainly.com/question/28277110
#SPJ1
Diego ha 48 chocolate chip cookie, 64 vanilla cookie, and 100 raiin cookie for a bake ale. He want to make bag that have all three cookie flavor and the ame number of each flavor per bag
On solving the question, by help of Highest common Factor we got that He can only produce 4 bags before there are no more cookies left.
What is Highest common factor?In mathematics, HCF is referred to by its full term, highest common factor. When dividing two or more numbers, the highest common factor (HCF) is two. For instance, the HCF of 4 and 6 is 2.
48 chocolate chips total.
64 vanilla cookies total.
100 raisin cookies are present.
[tex]HCF - 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24,48.\\64 = 1, 2, 4, 8, 16, 32 , 64\\100 = 1, 2, 4, 5, 10, 20, 25, 50, , 100.[/tex]
4 = highest common factor of 48, 64 and 100
As a result, he can only produce 4 bags of cookies until none are left over.
For each bag:
cookies and chocolates = 48/4
= 12 each
64/4 vanilla cookies
= 16 each
100/4 raisins in cookies
= 25 each
To know more about Highest Common Factor visit:
https://brainly.com/question/802960
#SPJ4
does this table represent a function 2,1 3,4 4,4 5,2 5,5
The answer is No because one x-value corresponds to two different
y-values.
What is the function?
Each element of X is given exactly one element of Y by a function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.
Here the given function is,
x y
3 4
4 4
5 2
5 5
From the table we can see that there are 2 values of x having same
y - value.
Hence, the given table does not represents a function.
To know more about function, click on the link
https://brainly.com/question/7160733
#SPJ1
Is 12:44 equivalent.
Answer: no, not in any way
Step-by-step explanation: it does not matter how many times you multiple 12, you will never end up getting 44.