Answer: The equation of a line can be written in the slope-intercept form y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the equation of a line that passes through the point (3, 2) and cuts off equal intercepts on the x and y axes, we can use the following steps:
First, we need to find the slope of the line using the point (3, 2) and the fact that the line cuts off equal intercepts on the x and y axes. Since the line cuts off equal intercepts on the x and y axes, it means that it is a line of symmetry, which means that the slope of the line is zero.
Now we can use the point-slope form of a linear equation which is y-y1 = m(x-x1) and substitute the point (3,2) and the slope (0)
The equation of the line will be y = b where b is the y-intercept.
So the equation of the line which passes through the point (3, 2) and cuts off equal intercepts on the axes is y = 2
The line is a horizontal line passing through the point (3,2) and it cuts the x-axis at y = 2.
Step-by-step explanation:
What is the nature of the roots of the quadratic equation 5x² 4x 1?.
Since there are two complex conjugates as the roots of the quadratic equation 5x2 4x 3 0 there is no way to describe them in terms of real integers.
The roots can only be roughly calculated because they are irrational numbers.
Two complex conjugates, which are unable to be expressed in terms of real numbers, make up the roots of the quadratic equation 5x2 4x 3 0. Using the quadratic formula, the roots can be discovered. The coefficients of the equation are necessary for the formula, and in this example, they are a=5, b=4, and c=3. When the quadratic formula is used, two complex roots are produced, denoted by the expressions x1 = -1/5 + (16)/5i and x2 = -1/5 - (16)/5i. Since their roots are irrational integers, they can only be roughly calculated. When b2-4ac, the discriminant, is negative, complex roots are frequently discovered. The discriminant in this situation is -64, which is negative and shows that the equation has complex roots.
Inequality = b2-4ac = 42-4(5)(3) = -64.
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Full Question = What is the nature of the roots of the quadratic equation 5x2 – 4x + 1 = 0?
The box-and-whisker
plot below
represents some data set. What is the
value of the lower quartile?
The lower quartile is the value at the edge of the box on the lower edge of the box, 62 in this case.
The upper quartile would be 67, since that's the upper edge of the box.
7. Nina Karas purchased a used car 3 years ago for $11,425.00. Its current
value is $6,897.00. Annual variable costs this year are gasoline, $2,524.90;
oil and filters, $145.21; new battery, $65.45; and transmission repair
$981.33. This year insurance cost $1,546.00, registration was $114.95, and
loan interest totaled $457.88. Nina drove 19,214 miles this year.
Despite the amount of money she has spent, she has driven a total of 19,214 miles this year.
What is amount?Amount is a term that can be used to refer to a quantity or number of something. It is often used to refer to a sum of money, such as when people talk about the amount of money they make or owe. Amount can also be used to refer to a quantity of something, such as the amount of water in a tank or the amount of time it takes to do a task.
Nina Karas has experienced an overall decrease in the value of her car since she purchased it three years ago. Despite this, she has incurred a number of variable costs this year that have added up to a considerable sum. For example, she has spent $2,524.90 on gasoline, $145.21 on oil and filters, $65.45 on a new battery, and $981.33 on transmission repairs. Furthermore, Nina has paid $1,546.00 in insurance premiums, $114.95 for her registration, and $457.88 in loan interest. Despite the amount of money she has spent, she has driven a total of 19,214 miles this year.
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Find the inverse of the function.
f(x)=9x², x ≤ 0
The inverse of a function "swaps" the x and y values of the original function. To find the inverse of f(x) = 9x², we need to switch the x and y values and solve for x in terms of y:
y = 9x²
To find the inverse function we must isolate x.
x = √(y/9)
So the inverse of the function f(x) = 9x², x ≤ 0 is f^-1(x) = √(x/9), x ≤ 0.
Answer:
[tex]f^{-1}(x)=\dfrac{\sqrt{x}}{3}, \quad x \leq0[/tex]
Step-by-step explanation:
Given function:
[tex]f(x)=9x^2[/tex]
The domain of the given function is restricted: {x : x ≤ 0}
The range of the given function is restricted: {f(x) : f(x) ≤ 0}
To find the inverse of a function, swap x and y:
[tex]\implies x=9y^2[/tex]
Rearrange the equation to make y the subject:
[tex]\implies x=3^2y^2[/tex]
[tex]\implies x=(3y)^2[/tex]
[tex]\implies \pm\sqrt{x}=3y[/tex]
[tex]\implies y=\dfrac{\pm\sqrt{x}}{3}[/tex]
As x ≤ 0 then:
[tex]\implies y=\dfrac{\sqrt{x}}{3}[/tex]
Replace y with f⁻¹(x):
[tex]\implies f^{-1}(x)=\dfrac{\sqrt{x}}{3}[/tex]
The domain of the inverse of a function is the same as the range of the original function. Therefore, the domain of the inverse function is restricted to {x : x ≤ 0}.
What is the common factor for 12a2b 15ab2 a 6ab B 12ab C 3ab D AB?.
12a2b = 2 2 3 a a b b; 15ab2 = 3 5 a b b b. The factors 3, a, and b are shared by the two terms. This demonstrates that the given expression's factors are a, b, and (4a + 5b).
We can deduce from the problem's options that (4a-5) is not a factor of the given expression.
What will be the 12x-36 common factor?12 is the highest-common factor between 12 and 36. However, neither the 12x nor the 36 given monomials contain any common literal. 12 is the most common factor.
What is class 7 factorisation?In mathematics, factorization or factoring is defined as the breakdown or decomposition of an entity—such as a number, matrice, or polynomial—into another product or common factors that yield the original number or matrix when repeated together, among other things.
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If UV=x and TW=-x+99 what is the value of x?
If UV = x and TW = x+99 ,using triangle proportional theorem, then the value of x is 99
What is triangle proportional theorem?Triangle proportion theorem states that if a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.
since TU = TS and S W = VW. This show that triangle SUV is an isosceles triangle
then TW / UV = 1/2
therefore x/-x+99 = 1/2
2x = -x+99
Collect like terms
2x- x = 99
x= 99
therefore the value of x is 99
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One little cat can eat a bag of treats in 15 minutes while another cat can eat the same bag of treats in 10 minutes. What part of the bag can they eat together in the given time? 2 minute. How about 5 minutes
1/3 of the bag would be eaten by both cats in 2 minutes while 5/6 of the bag would be eaten by both cats in 5 minutes.
What is an equation?An equation is an expression showing the relationship between numbers and variables.
One little cat can eat a bag of treats in 15 minutes while another cat can eat the same bag of treats in 10 minutes.
a) In 2 minutes:
Part of bag eaten = (1/15 minutes) * 2 minutes + (1/10 minutes) * 2 minutes = 1/3
1/3 of the bag would be eaten by both cats in 2 minutes.
b) In 5 minutes:
Part of bag eaten = (1/15 minutes) * 5 minutes + (1/10 minutes) * 5 minutes = 5/6
5/6 of the bag would be eaten by both cats in 5 minutes.
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How do you graph the absolute value of y absolute value X?.
The process to sketch the graph of y = absolute value x is explained below .
What is Absolute Value ?
The absolute value of a number is the distance of the number from origin of a number line. It is denoted as |a|, which defines the magnitude of any integer "a". Absolute Value is represented by two vertical lines "|a|" , which is called as modulus of a .
we have to sketch the graph of the absolute function given as ; y = |x| ;
put x = -2 , we get ⇒ y = 2 ;
put x = 2 , we get ⇒ y = 2 ;
we see that if we put any value of "x" , positive or negative , the result "y" will always be positive .
Therefore , the graph of the function will be a V shaped graph facing upwards .
The given question is incomplete , the complete question is
How do you graph y = absolute value x ?
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66 x 7guess the answer no cheating no calculator no asking parent nothing figure it out
Answer:
462
Step-by-step explanation:
6×7×10×6 is how you do it
Is 2x³ a polynomial?.
Answer:
Yes
Step-by-step explanation:
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Which triangles could not be similar to triangle abc ? triangle a b c where angle b is a right angle. Side a b is 15 cm. Side b c is 8 cm. Side a c is 17 cm. Select each correct answer.
The triangles are comparable to one another if the ratio of their corresponding sides is the same. Triangles ABC, GHI, and JKL all have an approximately equal number of corresponding sides. Triangle ABC, JKL, and GHI are hence comparable to one another.
Similar triangles may not necessarily need to have equal sides, but they do require that all of the angles match.Triangles are comparable to one another if their corresponding sides have lengths that are in the same ratio.
Therefore, Triangles ABC and GHI are comparable to one another because their sides are proportional to one another.Triangles ABC and JKL have sides that are proportionate to one another, hence they resemble one another.
Triangles JKL and GHI are comparable to one another.
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The sum of three consecutive numbers is 69. If the first number is n find the three Numbers
Answer:
22
Step-by-step explanation:
n + (n+1 )+( n+2) = 69
3n+3 =69
3n=66
n=66/3
n=22
Answer:
first number is 21
second number 23
third number 25.
Step-by-step explanation:
The sum of three consecutive numbers is 69
Let the first number be n
the second number be 2 + n
the third number be 4 + n
n + (2 + n) + (4 + n) = 69
=n + n + n + 2 +4 = 69
=3n + 6 = 69
=3n = 69 - 6
=3n = 63
=3n/3 = 63/3
n = 21
therefore the first number n = 21
the second number 2 + n = 2 + 21 = 23.
the third number 4 + n = 4 + 21 = 25.
Melissa rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total more than 12.
Answer:
0
Step-by-step explanation:
As the die is fair the maximum number you can get on each die is 6 so even if we get both die's to roll on its maximum (6, 6) we still won't get a number above 12, so the probability of getting a number above 12 is impossible.
16 > -14 - s I don’t know how to solve this I’m in the 7th grade
Answer:
-30 < s
Step-by-step explanation:
16 > -14 - s
30 > -s
Divided by negative. Because divided by negative, the > will switch to be <
So, the answer is
-30 < s
or
s > -30
Which of the following tables represents a linear relationship that is also proportional?
x −3 0 3
y −4 −2 0
x −2 0 2
y 0 3 6
x −3 0 3
y −4 −3 −2
x −3 0 3
y −2 0 2
The table representing a proportional relationship is given as follows:
x −3 0 3
y −2 0 2
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
From the definition, we get that a proportional relationship is a linear function with an intercept of zero, meaning that when x = 0, y = 0.
This means that the correct table is given by the last table, as for the other tables, y has values different of zero when x = 0.
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Answer: The answer is the last one D.
Step-by-step explanation:
Ive tried for hours any i just dont get it
Ethan ordered a bouquet of assorted flowers. It included 3 roses, 4 daisies, and 4 lilies. If only one of the flowers was pink, what is the probability that the pink flower was a rose?
A. 1/3
B. 3/7
C. 3/11
D. 4/11
Answer: C. 3/11
Step-by-step explanation:
first add up all the flowers so 3 roses, 4 daisies, and 4 lilies, 3 +4 + 4 = 11. if only one flower is pink, and there are 3 roses, then there's a 3/11 chance its a rose.
How do you write a quadratic function in vertex form from a graph?.
To determine a parabola's equation, we can utilize the vertex form. The aim is to formulate a graph's equation in the form y=a(xh)^2+k using the coordinates of its vertex, or maximum or minimum point.
Assuming we can get the coordinates (h,k) from the graph), and then to determine the value of the coefficient a. It is done by writing a quadratic equation in vertex form, which is y=a(x-h)^2+k, where (h,k) is the vertex of the parabola.
The top or bottom point of a parabola is known as its vertex.
1st coordinate in the vertex is "h," which is -6.The 2nd vertex coordinate, "k," is -4.The first coordinate in the opposite point, "x," is equal to -2.Learn more about quadratic function Visit: brainly.com/question/1214333
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Who designed first stamp of Pakistan?.
The First Postal Stamp of Pakistan was issued on 9th July, 1948, was designed by Abdul Rehman Cughtai and approved by Quaid-i-Azam on the occasion of the first Independence Day and was adjudged as one of the most beautiful stamps of the world.
Due to the lack of a local press, Pakistan's initial stamps were printed by Thomas De La Rue in London. In 1949, the Pakistan Security Printing Corporation was set up in Malir Halt, Karachi. The first set printed entirely by this press was the 1954 Seventh Anniversary issue.
Title: First Stamp of Pakistan
Creator: Abdul Rehman Cughtai
Date Created: 1948
Physical Location: State Bank Museum & Art Gallery
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the ages of two brothers are in the ratio 8:3 in 3 years time their ages will be in the ratio 9:4 find the differences between their ages in simultaneous equation
The differences between their ages is equal to 15 years.
How to determine the differences between their ages?Since the ages of two brothers are in the ratio 8:3, the age of the first (1st) brother would be represented by 8x while the age of second (2nd) brother would be represented by 3x.
Note: The variable x represents the age in years.
After 3 years, the age of the first (1st) brother would be represented by 8x + 3. Similarly, the age of second (2nd) brother would be represented by 3x + 3.
Translating the word problem into an algebraic equation by using ratios, we have the following:
(8x + 3)/(3x + 3) = 9/4
4(8x + 3) = 9(3x + 3)
32x + 12 = 27x + 27
32x - 27x = 27 - 12
5x = 15
x = 15/5
x = 3.
Now, we can determine the age of the brothers;
First brother's age = 8x = 8 × 3 = 24 years.
And, 2nd brother's age = 3x = 3 × 3 = 9 years.
For the difference, we have:
Difference = 24 - 9
Difference = 15 years.
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What is a cube of 5?.
The cube of 5 is 125
We know that the cube of a number is the value that are obtained when a number is multiplied by itself three times.
We can find cubes for any real number.
If p be any real valued number then the cube of p is the product of number p three times.
i.e., p × p × p
The cube of number is represented by the third power (exponent) of that number.
for above the cube of number 'p' is represented by p³
Here we need to find the cube of number 5.
From definition of cube of number,
5³ = 5 × 5 × 5
5³ = 25 × 5
5³ = 125
Thus the cube of number 5 = 125
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if x=3 and y=8, then the value of 5xy is
Answer:120
Step-by-step explanation:
given x= 3 and y= 8,
we have to find the value of 5xy
so let us put the values of x and y in the given expression i.e 5xy.2
= 5×3×8
= 120
Hence the value of 5 xy is 120.
Answer:
Step-by-step explanation:
If x = 3 and y = 8, then the value of 5xy is simply 5 times the product of x and y.
To find the product of x and y, we simply multiply x and y together:
xy = 3 * 8 = 24
To find the value of 5xy, we simply multiply 5 by the value of xy:
5xy = 5 * 24 = 120
So the value of 5xy when x = 3 and y = 8 is 120
HELP
18 kg of apples cost $106.20. How much would 31 kg cost?
Answer:
31kg will cost $ 182.9
Step-by-step explanation:
If 18kg = $106.20
than 31kg = ?
= 31kg/18kg × $106.20
= 3,292.2 /18
=$182.9
Think of a career that interet you, and you would like to learn more about. What information would you mot like to learn about that career? with 5 entence
These the five sentence about the most important thing to learn about the software engineer career:
Programming language that people most neededWay to code in the most needed programming language Way to bridge an exist database to database on the program we buildWay to determine people needed and change it into programWay to build long term IT plan for corporate or companyWhat does software engineer do?Software engineer is a branch of computer engineer science that mainly work to create, secure and manipulating a software. The career on this field mostly start from :
Junior programmer or Junior developerSenior programmer or Senior developerTim managerSystem AnalystSoftware ArchitectLearn more about software engineer here
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URGENT!! PLEASE HELP I NEED IT RN THANKS!!
9. Reason Four sidewalks form two right triangles. Sidewalk A and Sidewalk B intersect
at a right angle. Sidewalk B extends 500 feet on either side of the intersection with
Sidewalk A. Sidewalk C and Sidewalk D start at the ends of Sidewalk B and intersect
Sidewalk A at the same point. Do you have enough information to prove that the two
right triangles are congruent? Explain your reasoning.
If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
How do you prove that two right triangles are congruent?Sidewalks must be at least 6.0 feet wide at the curb face or 5.0 feet wide if set back from the curb. The basic standards for people with impairments are not met by any width that is smaller. The social activity of walking.
500 feet must separate any two people in order for them to be able to stroll side by side. If the hypotenuse and one of the right triangle's sides equals the hypotenuse and the corresponding side of the second right-angled triangle, the two triangles are said to be congruent to one another.
The triangles are congruent if their included sides are congruent and two of their angles match two of the other triangle's angles.
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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Trigonometric Ratios
Answer:Hi there the answer is in quizlet is another page :)
Step-by-step explanation:
Uppoe an individual' retirement account with a balance of $165,000 i Tranferred to a new invetment plan that pay 8% interet compounded annually. How much will the account be worth after 3 year?
The account will be worth $215,958.88 after 3 years.
Retirement Savings Interest CalculationThe account will be worth $215,958.88 after 3 years. This can be calculated by using the formula: A = P(1 + r/n)^(nt) where A is the final amount, P is the initial principal (or balance) of $165,000, r is the annual interest rate of 8%, n is the number of times that interest is compounded per year (annually in this case, so n = 1), and t is the number of years the money is invested for (3 in this case).
Plugging these values into the formula: A = 165,000(1 + .08/1)^(1*3) = 215,958.88.
The subject you are asking about is called compound interest. Compound interest is a concept related to finance and economics. It is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is often used in personal finance, such as in savings and retirement accounts, as well as in business and investment contexts.
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Write a for loop that prints the integers 1 through 40, separated by spaces or new lines. You may use only one variable, count which has already been declared as an integer
A for loop for print the integers 1 through 40, separated by spaces or new lines is represented by #include <iostream>
using namespace std;
int main(){ for(int count=1;count<=40;count++)
printf(" %d",count);}.
A for loop is a repetition control structure that allows you to efficiently write a loop that needs to execute a specific number of times. The structure for writing the " For loop" in C++ programming ,
#include <iostream> using namespace std; int main() { for (int i = 1; i <= 5; ++i) { cout << i << " "; } return 0; } .
We have to print the integers 1 through 40, separated by spaces or new lines. You may use only one variable, count which has already been declared as an integer. The required for-loop is written as the following: Input :
#include <iostream>
using namespace std;
int main(){
for(int count=1;count<=40;count++)
printf(" %d",count);}
Output : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
The for-loop description-
Initialization : the count variable is initialized with 1 then in the next step the for-loop condition is set as “count<=40 “.Further the count is incremented by 1 by using “count++”Finally, to get the result the variable count is printed to the console.Hence, the required program code is founded.
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What are 6 angles called?.
Answer:
Hexagon
Step-by-step explanation
A hexagon can be defined as a closed two-dimensional polygon with six sides. Hexagon has 6 vertices and 6 angles also. Hexa means six and gonia means angles
How much greater is the intensity of an earthquake that measures 3 on the Richter scale than and earthquake that measures 1?.
The intensity of an earthquake that measures 3 on the Richter scale than and earthquake that measures 1 is 31*2 times greater.
Every whole number measurement releases energy that is around 31 times more than the previous whole number measurement. A magnitude 2 earthquake is thus 31 times more violent than a magnitude 1 earthquake, for instance.
The Richter scale, also known as the Richter's magnitude scale, Richter's scale, and the Gutenberg-Richter scale, was created by Charles Francis Richter and first published in his seminal 1935 paper under the name "magnitude scale." Charles Richter created the base-10 logarithmic Richter scale in the 1930s.
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