Answer:
You didn't show any of the expressions
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Answer:
[tex]y=-3x+7[/tex]
Step-by-step explanation:
[tex]=\frac{4-1}{1-2}=-3 \\ \\ y-4=-3(x-1) \\ \\ y-4=-3x+3 \\ \\ y=3x+7[/tex]
What is the limit of a function with a hole?
The limit of a function with a hole is explained below:
A function with a hole is a function that is not defined at a certain point or points in its domain. The limit of a function at a point where the function has a hole is not defined.What is the function about?For example, consider the function f(x) = 1/x. This function has a hole at x = 0, because it is not defined for x = 0. Therefore, the limit of f(x) as x approaches 0 does not exist.
In all, if a function has a hole at a point x = a, the limit of the function as x approaches a does not exist. However, it is still possible to calculate the limits of the function as x approaches a from the left or the right.
So for example, the limit of f(x) as x approaches 0 from the left (i.e. as x approaches 0 from negative values) is -infinity, and the limit of f(x) as x approaches 0 from the right (i.e. as x approaches 0 from positive values) is infinity.
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please help asap!!!!!! will mark brainlest
which of the following graphs is a function?
Answer:
Graph A is a function.
Step-by-step explanation:
To be considered a "function", the graph's x-values must have only one corresponding y-value. However, the same y-value can correspond for different x-values. You can determine if there is one x-value for every y-value by using the vertical line test.
. . . . . . .❓ What is the vertical line test?
. . . . . . ✔️ The vertical line test is where you draw vertical lines that crosses through every x-value on the x-axis. If a line touches more than one point on the function, then the graph is not a function. If a line touches only one point on the function, the graph is a function. You need at least one x-value with points on the function to say that the graph is not a function.
Look at the image I attached to my answer to see the vertical line test used on this problem.
At which root does the graph of f x x 5 3 * x 2 2 touch the X axis?
The graph f(x) = (x – 5) The x-axis is touched at -2 by 3(x + 2).
By examining the power of the factor, you may determine whether the graph will cross the x-axis or only touch it.
(x - 5)
3 is an odd number because it has a power of 3. A power of ODD indicates that the graph will pass through the x-axis.
(x + 2)
A power of 2, or even number, exists in the number 2. In the case of an EVEN power, the graph will contact the x-axis.
Set the factor equal to zero and solve to determine the location where it will touch the axis.
Subtract 2 from both sides so that (x + 2) = 0.
x = -2
The complete question is:-
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
A. -5
B. -2
C. 2
D. 5
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f(x) = -2|x+4|+ 1; Find f(-9)
Given m|n, find the value of x.
(x+27)°
(2x-7)⁰
m
The value of x is x=34.
What is angles?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The angles are corresponding angles so they are equal if m is parallel to n
x+27 = 2x -7
Subtract x from each side
x+27 -x =2x-x-7
27 = x-7
Add 7 to each side
27+7 = x-7+7
34 =x
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A fair die is roll 4 times find the probability of getting 2 six
The probability of getting 2 six when a fair die is rolled 4 times is given as 1/216.
What is the way to find probability?Probability for any event is the ratio of number of favorable events to the total possible events.
It deals with the measurement of the chance and its value is always in the interval [0, 1].
The sample space and the number of favorable outcomes are given as follows,
The total number of ways two 6 can come out of the 4 times = ⁴C₂ = 6
And, the total number of outcomes for the 4 roll of dice = 6⁴
Now, the probability is given as,
P(6 two times) = 6/6⁴ = 1/216
Hence, the probability of getting 2 six out of 4 throws of a dice is 1/216.
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the price of a commodity was increased in the ratio 5:4.After one month the same commodity was reduced in the ratio 7:8 to attract more customers. If the new price was sh. 35 calculate the price of the commodity before the increase
Answer:
sh. 32
Step-by-step explanation:
Before the reduction, the cost was [tex]35(8/7)=[/tex]sh. 40.
Therefore, the price before the increase was [tex]40(4/5)=[/tex]sh. 32.
What is the expression in rational exponent form?
√4xy²
Answer:
4xyxy
Step-by-step explanation:
there is a baby 2 so add 2 more x and y. ;)
Is equations 3x 2y 5 and 2x 3y 7 are consistent or inconsistent?
3x + 2y = 5; 2x - 3y = 7. Hence, the given lines are intersecting. So, the given pair of linear equations has exactly one solution and therefore it is consistent.
If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
If a system has no solution, it is said to be inconsistent . Represent parallel lines.
if Both line slope are same and parallel to each other.
So, no solution
System is inconsistent.
if Both equation represent the same line. So, infinite many solution.
System is consistent.
if Both lines are parallel. So, no solution.
System is inconsistent.
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From a window 20 feet above the ground, the angle of elevation to the top of another building is 45°. The distance between the buildings is 52 feet. Find the height of the building to the nearest foot. (no decimal) The building is feet tall.
Using trigonometric ratio, the height of the building is 72 feet
Angle of ElevationThe angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
In this question, we need to use trigonometric ratio to find the height of the building.
Using tangent of the angle;
tan θ = opposite / adjacent
tan 45 = x / 52
x = 52tan45
x = 52
From the top of the building to the window level of the other building, the distance is 52 feet.
The height of the building = 52 + 20 = 72 feet
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What are the 5 types of root?
There are three types of roots in mathematics which are real , repeated and non real roots.
When the value of the roots obtained are less than 0 then the roots obtained are known as not real or imaginary roots.
When the roots are greater than zero then they are known as real roots.
When the value of roots obtained is equal to 0 then we conclude that the roots are repeated.
We can get the roots of a function by factorizing the given expression or we can also find them using the determinant method. Or we can also use the graphical method to find the roots.
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Prove that tan^2A/tan^2A-1+cosec^2A/sec^2A-cosec^2A=1/1-2cos^2A
Prove: <br>
cosec2 A-cos2 A=sec2A -sin2 Atan2A
What is the discriminant of 2x 2 4x 7?
The value of discriminant of the quadratic equation is 72.
DiscriminantA Discriminant is a function of the coefficients of a polynomial that can be used to determine the number and type of solutions of the polynomial equation. It is often denoted by the letter "D" or "Δ".
It is denoted by this formula
D = b^2-4ac
What is the discriminant of 2x 2 4x 7?As per the data given in the questions
We have to calculate the value of the discriminant of the quadratic equation
As we know if the value of discriminant =0 then the value of D=0 and
if the value of discriminant >0 then value of D>0
so, first we have to find D=0 as per the questions.
As we know that the value of D=
Here the value of a=2 , b= 4 and c = -7
D=16+56
D=72
So, the value of discriminant of the quadratic equation is 72.
Hence, the value of discriminant of the quadratic equation is 72.
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Why is it called a median?
Both median and mean originate from the Latin medianus, meaning in the middle, the former by way of the Anglo-French meiene. Median is the middle number in a sorted list of numbers. To determine the median value in a sequence of numbers, the numbers must first be sorted, or arranged, in value order from lowest to highest or highest to lowest.
In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value. The basic feature of the median in describing data compared to the mean (often simply described as the "average") is that it is not skewed by a small proportion of extremely large or small values, and therefore provides a better representation of a "typical" value. Median income, for example, may be a better way to suggest what a "typical" income is, because income distribution can be very skewed.
The median is of central importance in robust statistics, as it is the most resistant statistic, having a breakdown point of 50%: so long as no more than half the data are contaminated, the median is not an arbitrarily large or small result.
This is why it is called a median.
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If the volume of a soccer ball is 1,930. 75 cubic centimeters, what is the surface area of the soccer ball to the nearest square centimeter?.
The surface area of the soccer ball to the nearest square centimeter is 744.68 square centimeters .
Given :
The volume of a soccer ball is 1,930. 75 cubic centimeters .
we know that ,
shape of soccer ball is same as the sphere
Volume of sphere = 4 / 3 * pi * r^3
1930.75 = 4 / 3 * 3.14 * r^3
1930.75 = 4.18 * r^3
r^3 = 1930.75 / 4.18
= 462
r = 7.7 cm
Surface area of soccer ball = 4 * pi * r^2
= 4 * 3.14 * 7.7^2
= 12.56 * 59.29
= 744.68 square centimeters
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What is the nature of the roots of the discriminant of the equation 4x² 3x 1 0?
The roots of the discriminant of the equation 4x² + 3x + 1 = 0 are complex and imaginary.
The discriminant of a quadratic equation is a value calculated by subtracting the square of the coefficient of the x term from four times the coefficient of the x² term, and then multiplying it by the constant term. For this equation, the discriminant is calculated as D = b2 - 4ac, where b = 3 and c = 1. This gives us D = 32 - 4(4)(1) = -7. Since the discriminant is negative, this means that the roots of the equation are complex and imaginary.
D = b2 - 4ac = 32 - 4(4)(1) = -7
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How do you prove a triangle is SAS?
If the two sides on one triangle are congruent to the corresponding two sides of the other triangle and the included angles are congruent in both triangles, then the triangles are congruent by SAS (side-angle-side).
Congruent triangles: Two triangles are said to be congruent if they have the same angle measurements and have the same side lengths.Included angle: An included angle is the angle between two given sides.SAS theorem of congruence: The SAS (side-angle-side) theorem of congruence states that if two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle, then the two triangles are congruent.
Use the SAS theorem of congruence to determine if the triangles in the figure below are congruent.
From fig(1) is congruent to fig(2).
For each triangle, find two labeled sides with labeled included angle (side-angle-side in order).
For ΔABC, we have:
|AC|=10,m∠A=46∘, |AB|=7
For ΔXYZ, we have:
|XZ|=10,m∠Z=46∘, |YZ|=7
Compare the results from step. If the two sides on one triangle are congruent to the corresponding two sides of the other triangle and the included angles are congruent in both triangles, then the triangles are congruent by SAS.
So, |AC|=|XZ|, m∠A=m∠Z, |AB|=|YZ| the triangles are congruent by SAS.
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What is a function with 3 variables?
A function f of three real variables assigns a real number f(x, y, z) to each set of real numbers (x, y, z) in the domain of the function.
Now, According to the question:
Three-Variable Calculus considers functions of three real variables. A function f of three real variables assigns a real number f(x, y, z) to each set of real numbers (x, y, z) in the domain of the function. The domain of a function of three variables is a subset of coordinate 3-space { (x,y,z) | x, y, z ∈ {R} }.
A real-valued function f defined on a subset D of [tex]R^2[/tex] is a rule that assigns to each point f(x ,y) in D a real number f(x ,y) . The largest possible set D in [tex]R^2[/tex] on which f is defined is called the domain of f , and the range of f is the set of all real numbers f(x ,y) as (x ,y) varies over the domain D . A similar definition holds for functions f(x ,y ,z) defined on points (x ,y ,z) in [tex]R^3[/tex] .
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Multiple choice math
Answer:
d. f(x) → +∞, x → +∞; f(x) → -∞, x → -∞
Step-by-step explanation:
You want the end behavior of the cube root function f(x) = 2∛x +3.
Cube rootThe vertical translation upward 3 units can be ignored when considering the end behavior. The sign of a cube root matches the sign of the argument, so the signs of x and f(x) will match when both get large.
f(x) → +∞, x → +∞; f(x) → -∞, x → -∞
Which of the numbers below are potential roots of the function P x )= x4 22x2 16x 12?
The numbers that are potential roots of the function P(x) = x⁴+22x²-16x-12 are ±6 , ±1 and ±3 .
The Roots of the equation can be calculated by using the rational roots theorem , which is written as ,
the root x = ± (factors of the constant term)/(factors of leading coefficient).
the function is given as : P(x) = x⁴ + 22x² - 16x - 12
from the above function , we can write that the constant term is = -12 ;
the leading coefficient term is = 1 .
we can write the factors of -12 as ±1, ±2, ±3, ±4, ±6 and ±12 .
the factors of 1 are ±1 .
So , By Rational root theorem , the possible roots are ±1, ±2, ±3, ±4, ±6 and ±12 .
the choices given in the question are ±6 , ±1 , ±3 .
Therefore , the potential roots are (a) ±6 , (b) ±1 and (c) ±3 .
The given question is incomplete , the complete question is
Which of the numbers below are potential roots of the function P(x)=x⁴+22x²-16x-12 ?
(a) ±6
(b) ±1
(c) ±3
(d) ±8
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What is the slope of the relation y =- 4 5x 4?
you will find that the slope, or m, is equal to 4/5 and that b is the coordinates 0 and -4
What is the slope of the relation y 4 5x 4?
The first step that needs to be done is to convert the equation into the y=mx+b format where m is the slope and b is the intersection of the y-intercept. Simply solve the equation for Y and you get Y=4/5X-4. From this, you will find that the slope, or m, is equal to 4/5 and that b is the coordinates 0 and -4
if the slopes are:
L1: slope 3
L2: slope -3
L3: slope -1/3
So now multiply the slopes of each pair of lines:
L1 and L2: 3 * (-3) = - 9 => No, they are not perpendicular
L2 and L3: (-3) * (-1/3) = 1 => No, they are not perpendicular
L1 and L3: (3) * (-1/3) = -1 => Yes, they are penpendicular.
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It costs $$3535 per hour to rent a boat at the lake. You also need to pay a $$2525 fee for safety equipment. You have $$200200. How long can you rent the boat?.
you can rent the boat 55.92 hour if It costs $$3535 per hour to rent a boat at the lake. You also need to pay a $$2525 fee for safety equipment.
What is an example of an equation?
In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
It costs $$3535 per hour to rent a boat at the lake.
You also need to pay a $$2525 fee for safety equipment.
You have $$200200.
safety fee only once
so 200200-2525 = 197675
if one hour fees is 3535
then 197675/3535
= 55.92
hence he rent boat at the lake 55.92 hour
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Which inequalitie have no olution? Check all of the boxe that apply. X > x
–3x–3x
–4 x > –2 x
x – 2 < x 3
So X > X inequality have no solution.
What is inequality ?
If an inequality has no real solution, this means that there are no numbers that can be substituted into the inequality to make the statement true. If an inequality has all real numbers as the solution, this means that every real number can be substituted into the inequality to make a true statement.
Have given,
X > X ...........(i)
If suppose the value of X is any amount like 1,2,3,......
put the value of X in equation (i),
1 > 1
1 - 1 > 0 => 0 > 0 That is not possible
Similarly, 2 > 2 => 2 - 2 > 0 => 0 > 0 ,That is not possible
Let X = n
n > n => n - n > 0 => 0 > 0 , it is not possible too
So, X > X inequality have no solution.
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Have given,
X > X ...........(i)
If suppose the value of X is any amount like 1,2,3,......
put the value of X in equation (i),
1 > 1
1 - 1 > 0 => 0 > 0 That is not possible
Similarly, 2 > 2 => 2 - 2 > 0 => 0 > 0 ,That is not possible
Let X = n
n > n => n - n > 0 => 0 > 0 , it is not possible too
So, X > X inequality have no solution.
Two trains going in opposite directions leave at the same time. Train B travels 5 mph faster than train A. In 7 hours the trains are 665 miles apart. Find the speed of each.
Answer:
below
Step-by-step explanation:
x = train A speed
x+5 = train B speed
rate * time = distance
(x + x+5 ) * 7 = 665
14x + 35 = 665
14x = 630
x = 45 mi/hr = A B = 5+ A = 50 mi/hr
Is algebra 3 a thing?
Yes, algebra 3 is definitely a thing.
What is algebra?Algebra is a branch of mathematics that deals with the study of symbols and the rules for manipulating them. It includes the study of mathematical operations and relationships, as well as the properties of equations, terms, and functions. Algebra is a tool for modeling and solving many problems in science, engineering, economics, and other areas.
It is a course designed to build upon the principles of algebra and geometry, and it is typically offered in high school math classes. It covers topics such as linear and quadratic equations, systems of equations, polynomials, matrices, and graphing. Algebra 3 also introduces students to advanced concepts such as logarithmic and exponential functions, probability, and statistics.
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What do we mean by integral?
In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or a new function, the derivative of which is the original function (indefinite integral).
What is integral in math?The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.
Integral is a term derived form the word integration. Integration in calculus is the opposite of differentiation
Integration is used to get the whole by combining combine slices or smaller portions.
Finding areas, volumes, central points, and many other important things may be done with integration. However, it is simplest to begin by calculating the distance between a function and the x-axis.
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Which of the following are factors of 6x² 17x 5?
The required factor of the given equation 6x²+17x+5 is (3x+1)(2x+5).
What is to Factorise?Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.
For instance, the polynomial x² - 4 and the integer 15 can both be factored by the number 3 * 5.
So, we have the equation:
6x²+17x+5
Now, factorize as follows:
6x2+17x+5
6x2+15x+2x+5
3x(2x+5)+1(2x+5)
(3x+1)(2x+5)
Therefore, the required factor of the given equation 6x²+17x+5 is (3x+1)(2x+5).
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Correct question:
Factorise: 6x²+17x+5.
4x -2y = -2
-3x + 5y =-9
Answer:
x = -2.75 and y = 1.5.
Step-by-step explanation:
To solve the system of equations 4x - 2y = -2 and -3x + 5y = -9, we can use the elimination method. This method involves adding or subtracting the equations in a way that eliminates one of the variables, leaving us with an equation in terms of the remaining variable.
First, we can add the equations together to eliminate the y variable:
(4x - 2y) + (-3x + 5y) = (-2) + (-9)
Combining like terms on the left side of the equation gives us:
x + 3y = -11
Next, we can solve for x by dividing both sides of the equation by 4 to get:
x = (-11) / 4 = -2.75
Once we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the second equation, -3x + 5y = -9, and substitute -2.75 for x:
-3(-2.75) + 5y = -9
Solving for y, we get:
y = (-9 - (-8.25)) / 5 = 1.5
Therefore, the solution to the system of equations 4x - 2y = -2 and -3x + 5y = -9 is x = -2.75 and y = 1.5.
What is the formula for volume of cylinder if r radius H height?