What is the slope of this line? (5 points)
Show all work.
Slope of the line AB is 7/6.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
From the given graph the coordinates of A are (4, 3) and B is (-2, -4)
Slope AB=-4-3/-2-4
=-7/-6
Slope=7/6
Hence, slope of the line AB is 7/6.
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x:(x+3) = 2:3
work out the value of x
Answer:
x = 6
Step-by-step explanation:
x:(x + 3) = 2:3
[tex] \frac{ \\ x}{x + 3} = \frac{2}{3} [/tex]
cross multiply
3x = 2(x + 3)
3x = 2x + 6
subtract (2x) from both sides
3x – 2x = 2x – 2x + 6
x = +6
x = 6
What is the domain of exponential function f/x )= BX?
The domain of an exponential function is all real numbers. In the interval notation is (-∞, ∞).
What is interval notation?
A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤ x ≤ 1 .
Given exponential function is f(x) = B^x.
A function with an exponent as the independent variable is called an exponential function. The general form of an exponential function is y = f (x) = B^x, where B > 0 and a > 1, and x is any real number. The function is undefined for -1 < x < 1 if an is negative, which is why a > 0 is true. The function can have a domain that includes all real numbers by limiting a to positive values.
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Number 9 is very confusing for me
Answer:
The value of x is 2/7 or 0.285
Step-by-step explanation:
Here, we will make equivalent expressions in the equation that all have equal bases.
6²⁽⁶ˣ⁻¹⁾ = 6⁵ˣ
Since, The bases are the same i.e., 6. So, exponent are also same
2(6x - 1) = 5x
Solve for x
12x - 2 = 5x
12x - 5x - 2 + 2 = 5x - 5x + 2
7x = 2
7x/7 = 2/7
x = 2/7 = 0.285
Thus, The value of x is 2/7 or 0.285
For verification
36⁶ˣ⁻¹ = 6⁵ˣ
36⁶⁽⁰°²⁸⁵⁾ ⁻ ¹ = 6⁵⁽⁰°²⁸⁵⁾
36¹°⁷¹ ⁻ ¹ = 6¹°⁴²⁵
36⁰°⁷¹ = 6¹°⁴²⁵
12.7 = 12.7
Hence, L.H.S = R.H.S
VERIFIED!!
You and your friend go to a taco truck for lunch. You order 3 soft tacos and 3 burritos and spend $11. 25. Your friend orders 4 soft tacos and 2 burritos and spends $10. 0
Therefore ,As a result, the answer to the provided equation is that a burrito costs $2.50 and a soft taco costs $1.50.
Define equation .A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. Word illustration The product of 8 and 3 is 11.
Here,
Let the price of a soft taco be set at s.
Let b be the price for one burrito.
Therefore, we have this system.
3s + 3b = 11.25
4s + 2b = 10.00 (1) (1)
By multiplying the first equation by 3, we get that.
If s + b = 3.75, take b off of both sides.
s = 3.75 - b (2) (2)
Subtract (2) from (1) and you get
Simplify 4 (3.75 - b) + 2 b = 10.00.
15 - 4b + 2b = 10.00
Subtract 15 from both sides (-2b + 15 = 10) to get the total.
Divide both sides by -2 to get -2b = - 5.00.
b = 2.50
as well as (2)
s = 3.75 - 2.50 = 1.50
As a result, the answer to the provided equation is that a burrito costs $2.50 and a soft taco costs $1.50.
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If this policyholder causes a huge, serious accident with both bodily injuries and property damage, what is the highest amount their liability coverage will provide?
A. ) $544. 58
B. ) $300,000
C. ) $400,000
D. ) Unlimited amounts, depending on the number of people injured
C). The highest amount their liability coverage will provide is $400,000
This is because most standard liability policies will provide up to $300,000 for bodily injury and $100,000 for property damage, but the policyholder may be able to purchase additional coverage for higher limits if they need it. The exact amount of coverage will depend on the policy the policyholder purchased.
Liability insurance is a component of the general insurance system of risk financing that protects the purchaser from the risks of liabilities imposed by lawsuits and similar claims, as well as the insured if the purchaser is sued for claims covered by the insurance policy.
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Please solve area of figure
Formula and radius of figure in the picture
Area of circle and formula and radius of circle is 9 pi ( x y ^3 )^3.
How can you calculate area using pi and radius?A circle's area is equal to pi times the radius squared (A = r2).
Pi times the radius r squared equals the area of a circle.
π ⋅ ( r a d i u s)2
In the formula for the area of a circle, substitute the value of the radius r =3. 3.14 is about how big a number pi is.
pi * 3^2
Raise 3 to the power of 2 to arrive at 9.
pi * 9
9 must be moved to the left of. 9 pi ( x y ^3 )^3.
Area of circle and formula and radius of circle is 9 pi ( x y ^3 )^3.
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What is the image of ( 12 , − 4 ) (12,−4) after a dilation by a scale factor of 1 4 4 1 centered at the origin?
What is the image of ( 12 , − 4 ) after a dilation by a scale factor of 1/4 centered at the origin is (3, -1)
What is transformation?Transformation is the movement of a point in the coordinate plane. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease of a figure by a scale factor k. If the value of k > 1, then it is an enlargement but if k < 1, it is a reduction.
The point (12, -4) is dilated by a scale factor of 1/4 using the rule (x, y) ⇒ (x/4, y/4). The new point is (4, -1)
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Isabel is shopping for her new car. She identified six models she likes at a local dealership. The table lists
the down payment she would need to make on each car to keep the monthly payment within her budget.
Assume that she's using only the money accumulated in her savings account to make the down payment.
Use this information and the appropriate time value of money formula e to select all the cars that are
within Isabel's budget.
5
choice 1
choice 2
choice 3
down payment: $8,500 down payment: $6,200 down payment: $5,100
choice 4
choice 5
choice 6
down payment: $7,250 down payment: $7. 750 down payment: $7,500
The value of Isabel's account after three years can be calculated using the future value of the annuity formula.
Isabelle's budget car is:
Choice 2Choice 3Choice 4Reason:
Monthly savings, PMT = $200
Account compound interest, r = 1.7%
t = Account value after 3 years is displayed as increase.
We know that:
[tex]FV =PMT * \frac{[(1+i)^n -1]}{i}[/tex] --------------------- (1)
Where;
i = r/12
⇒ n = 12 × t
From the above equation(1), we get:
[tex]FV =200 * \frac{[(1+\frac{1.7}{2} )^{12*3} -1]}{\frac{1.7}{12} }[/tex]
≈ 7381.4
Therefore,
The budget cars she can buy, those that require a down payment of less than $7,381.4, which are:
The required down payment of choice 02 is $6200.
The required down payment of choice 03 is $5100.
The required down payment of choice 04 is $7250.
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PLEASE HELPPP !!
Given the diagram below, which statement is true?
Answer:
C. ∠1 and ∠3 are vertical angles and congruent.
What are the solutions to 3x 2 4 0 `?
The solution of the expression 3x² - 4 = 0 is x = ±2/√3.
The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation
Here we have the expression 3x² - 4 = 0.
Now, we have to solve this one by using the following steps:
First we have to add 4 to both sides of the equation, then we get the expression as,
=> 3x² = 4
Now, we have to Divide each term by 3 and simplify, then we get
=> x² = 4/3
Then we have to take the specified root of both sides of the equation to eliminate the exponent on the left side,
=> x = √4/3
When we simplify this one further, then we get
=> x = ±2/√3.
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A plumber charges a flat fee of $73 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following. C=25h+73 (a) What is the total cost for fixing a drain that takes 5 hours? (b) If the plumber charged a total of $398, how many hours did he spend fixing the drain?
Answer:
a. The total cost of fixing the drain is $198
b. The plumber spend 13 hours fixing the drain
Step-by-step explanation:
We know the equation is
C=25h+73
C = the total cost
h = the number of hours
Let's solve question a by putting 5 in for h
C=25(5)+73
C = 125 + 73
C = $198
So, the total cost of fixing the drain is $198
Let's solve question b by butting 398 in for c
398=25h+73
325 = 25h
h = 13 hours
So, the plumber spend 13 hours fixing the drain
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a stationer sells 17 magazines for €2.70 each, 28 newspapers for €1.50 each and postcards for €0.30 each. If he collected €97.20 how many postcards did he sell?
It needs to be an expression
In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.
what is expression ?Multiplication, division, addition, and subtraction are all possible in mathematics. Expression, number, and mathematical operator are the components of a mathematical expression (such as addition, subtraction, multiplication, or division, etc.). Expressions and phrases can be contrasted. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For instance, the phrase 4m + 5 consists of the terms 4m and 5, as well as the provided expression's variable m, all of which are separated by the arithmetic sign +.
given
A stationer sells 17 magazines for €2.70 each, for a total of €45.9; 28 newspapers cost €1.50 each,
for a total of €42; and
x postcards, for a total of €0.30x,
for a total of €97.20.
In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.
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A space ship travels at 57 miles per hour and traveled for 521 hours.
Select the answer that represents how many miles the space ship traveled.
Answer:29,697
Step-by-step explanation: multiply 57x521 and you get 29,697
How to solve the variables
Heyyyyyyyy how u doing I. Doing good how abt yo self
25
1 point
(3x + 32)
(5x - 8)
Select the correct equation to solve for x,
3x + 32 + 5x - 8 = 180
3x + 32 = 5x - 8
3x + 32 + 5x - 8 = 90
The value of x is 20
Now, According to the question:
The given equation is:
3x + 32 = 5x - 8
To solve the equation for finding the value of x .
32 + 3x = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
32 + 3x -5x = -8 + 5x -5x
Combine like terms:
3x -5x = -2x
32 -2x = -8 + 5x -5x
Combine like terms: 5x -5x = 0
32 -2x = -8 + 0
32 -2x = -8
Add '-32' to each side of the equation.
32 -32 -2x = -8 -32
Combine like terms: 32 -32 = 0
0 -2x = -8 -32
-2x = -8 -32
Combine like terms: -8 -32 = -40
-2x = -40
Divide each side by '-2'.
x = 20
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can someone help with this please ill give brainliest
Answer:1) 43 2)53 3)22 4)23
Step-by-step explanation:
Mrs. Remeto separate would like to buy a television TV set payable for 6 months starting at the end of the month how much is the cost at the TV set if her monthly payment is P3,000 and interest is 9% compounded semi annually?
If her monthly payment is P3,000 and interest is compounded semi-annually at 9%, the cost of the TV set comes to P17,545.08.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest.
In finance and economics, compound interest is common.
In contrast to simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time.
The interest per period multiplied by the number of periods in a year yields the simple annual interest rate.
According to our question-
9% = 0.09 / 2
=0.045 + 1 =1.045^(1/6)
=1.00736312 - 1 x 12 x 100
=8.836%
PV=0;
PMT=3000;
R=0.08836/12; N=6; PV
=PMT*(((1 + R)^N - 1)*((1 + R)^-N)* R^-1)
PV==17,545.08
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What is the surface area
of the square pyramid?
9 in
6 in
Answer:The Surface Area of Pyramid is 105 cm².
Step-by-step explanation:
What is Surface Area of Pyramid?
If “P” is the base perimeter, “l” is the slant height, and “B” is the base area, then the total surface area of the regular pyramid formula is given by (½)Pl + B Square units.
Given:
slant height, l= 8 cm
So, the base Perimeter = 4 x 5
= 20 cm
Now, area of the base = 5 cm x 5 cm
= 25 cm²
Then, surface area of a square pyramid
= 1/2 x slant height x base perimeter + area of base
= 1/2 x 8 x 20 + 25
= 80 + 25
= 105 cm²
A recipe ue 1/3 cup of flour and 1/8 cup of ugar. How much flour and ugar doe the recipe ue altogether
Altogether, the recipe uses 1/2 cup of flour and 1/8 cup of sugar.
What is altogether?Altogether in math refers to the sum of two or more numbers or values. It is a way of combining two or more items to obtain a total. In math, the term "altogether" is used to denote the sum of all the individual items, as opposed to all of them considered as one. For example, the sum of the numbers 2, 4, and 6 is 12, which is the "altogether" in math.
To calculate this, we must convert the fractions into decimals and then add them together.
The 1/3 cup of flour can be converted to 0.33 cup, and the 1/8 cup of sugar can be converted to 0.125 cup.
When added together, they equal 0.455 cup, or 1/2 cup. Therefore, the recipe uses a total of 1/2 cup of flour and 1/8 cup of sugar.
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Is y 2x 3 in slope intercept form?
Answer:
y=2x+3
Step-by-step explanation:
y=mx+b
y=2x+3
What is solvable and unsolvable problems?
Therefore , the solution of the given problem of algorithm comes out to be solution of the non solvable and solvable problems cannot be solved.
Specify the algorithm.A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.
Here,
Two different kinds of issues arise in TOC: - Problems that can be and can't be computed When something is "computable" (or "solvable"),
it means that it can be solved using an algorithm or a set of steps.
No method exists that can produce an output that is either "true" or "false," hence this problem is non-computable (or unsolvable).
Therefore , the solution of the given problem of algorithm comes out to be solution of the non solvable and solvable problems cannot be solved.
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Which techniques can be used to evaluate the expression 12. 75÷1. 5? Select all that apply.
The division technique can be used to evaluate the given expression
12.75÷1. 5
The division formula is used for splitting a number into equal parts. Symbols that we use to indicate division are (÷) and (/).
“p divided by q” can be written as: (p÷q) or (p/q).
The method of verification can be expressed as:
Dividend = (Divisor × Quotient) + Remainder.
The given equation is:12.75÷1.5
We'll first write the above decimal numbers in fractional form.
12.75÷1.5
1275/100÷15/10
2. Now we'll divide it further.
⇒1275/100÷15/10
⇒1275/100×15/10
⇒1275/10×15
⇒225/10×3
⇒88/10
3. And finally, we'll write our quotient in decimal form.
⇒88/10
⇒8.8
ㅤ
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A B. C A3 x 3 matrix is above. It has a pattern going both horizontally across the rows and vertically down the columns. The pattern is not necessarily the same in both directions. There is one object that fits correctly in the bottom right corner of the matrix. Choose this object from the list below the matrix Select one: a. A ОБ. В Ос, с d. D e. E f.F 8.G h. H
We can conclude from answering the above question that the first two patterns of the matrix form a sequence in the third from top with the numbers 4-2-6.
what is matrix i?A matrix is a set of numbers arranged in rows and columns. learns about the elements and dimensions of matrices and introduces them for the first time. A rectangular grid of numbers in rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. Its single row and 1 n row matrix order are the reasons behind its name. A = [1 2 4 5] is a row matrix of order 1 by 4, for instance. P = [-4 -21 -17] of order 1-by-cubic is another illustration of a row matrix.
We can conclude from answering the above question that the first two patterns of the matrix form a sequence in the third from top with the numbers 4-2-6.
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What is the difference of the two polynomials 9x2 8x 2x2 3x?
The difference between the two polynomials (9x²+8x) - (2x²+3x) is:
7x² + 5x.
Polynomial:
A polynomial is a type of algebraic expression where the exponents of all variables must be integers. The exponent of each polynomial variable must be a non-negative integer. A polynomial consists of a constant and a variable, but you cannot divide a polynomial by a variable.
Example: Express the polynomial 5 + 2x + x2 in standard form.
To express the above polynomial in standard form, first check the degree of the polynomial.
The degree of the given polynomial is two. Write an expression involving the degree of the polynomial.
There is a term with variable exponent less than 2, i.e.1, then write it down.
Finally, we write a term with the variable exponent 0 as the constant term.
According to the Question:
Given polynomials is:
(9x²+8x) - (2x²+3x)
First, multiply the negative sign in the second polynomial
i.e., (9x²+8x) - (2x²+3x)
= 9x²+8x - 2x²-3x
Now, evaluate those terms who have same variables
= 9x² - 2x² +8x-3x
= 7x² + 5x
Hence, the difference between polynomials are: 7x² + 5x.
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WHAT?
Never in my life have I ever wanted to kill math
Answer:
Y-intercept: 15
Slope: 1.3
Equation: y = 1.3x + 15
Step-by-step explanation:
Base on the table:
# of haircuts = x
Cost ($) = y
Knowing that;
y-intercept = The starting point (y)
Thus, based on the table the y-intercept is 15.
Y-intercept: 15.
To find the slope.
We first have to pick two points on the line & determine their coordinates.
Then subtract y-coordinates of these two points and also subtract x-coordinates for these two points.
After that divide the y by the x.
Shown below:
I'm going to use;
(0,15) and (1,20.5)
0 = x₁
15 = x₂
1 = y₁
20.5 = y₂
Now we do;
20.5 - 1 = 19.5
15 - 0 = 15
19.5 / 15 = 1.3
Hence, Slope = 1.3
Slope: 1.3
The equation - y = mx + b
Knowing that;
b = y-intercept
m = Slope
Substitute it in we have;
y = 1.3x + 15
Equation: y = 1.3x + 15
RevyBreeze
A cereal box is designed to hold a volume of 4096 cubic centimetres of cereal.
What dimensions will minimize the cost of producing the box?
Answer:
Refer to the step-by-step
Step-by-step explanation:
To minimize the cost of producing the box, we would want the box to be a cube.
Where the volume, [tex]V=s^{3}[/tex], where s is the length of one side of the box.
We were given the value, [tex]V=4096 cm^{3}[/tex], plug this into the equation above so we can find the dimensions of the box...
[tex]4096=s^{3} = > s=\sqrt[3]{4096} = > s=16[/tex]
Thus the dimensions to minimize the cost of the production of the box would be 16cm by 16cm by 16cm.
Rafael claims it's easiest to score points when a scatterplot has a linear association. Sahana says it's easiest when a scatterplot has a strong association.
Who is correct?
Rafael claims it's easiest to score points when a scatterplot has a linear association. Sahana says it's easiest when a scatterplot has a strong association. Both Rafael and Sahana are correct, in their own way.
A scatterplot with a linear association means that there is a straight line relationship between the two variables being plotted. In such a scatterplot, it is relatively easy to make predictions based on the line of best fit, as well as to calculate the correlation coefficient(r), which can indicate the strength and direction of the linear relationship.
On the other hand, a scatterplot with a strong association means that the points in the plot are closely grouped together, indicating a high degree of correlation between the variables. It is relatively easy to make predictions based on the overall pattern of the points in the scatterplot, even if there is no clear linear relationship.
So, Rafael is correct that scoring points is easiest when a scatterplot has a linear association because it is relatively easy to make predictions based on the line of best fit and correlation coefficient. And Sahana is correct that scoring points is easiest when a scatterplot has a strong association because it is relatively easy to make predictions based on the overall pattern of the points in the scatterplot.
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What is the degree of polynomial 5x³ 4x² 7x?
The degree of the polynomial [tex]5x^{3} + 4x^{2} + 7x[/tex] is 3 , that means it is a third degree polynomial called as cubic polynomial .
What is Degree Of Polynomial ?
The degree of the polynomial is defined as the highest power of the polynomial expression. But, if the polynomial has multiple variables, the degree of polynomial can be found by adding the powers of the different variables in the polynomial expression.
For Example : the degree of polynomial ⇒ [tex]9x^{2} + 7x + 2[/tex] is 2 .
The polynomial is given as : [tex]5x^{3} + 4x^{2} + 7x[/tex] , we have to find the degree ,
So , we can see that the the term having the highest power of the given polynomial is [tex]5x^{3}[/tex] , and the degree is 3 .
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What is the domain of the function f/x )= log?
The domain of the given function would be x > 0.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.
Hence, the domain of the given function would be x > 0.
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The domain of the given function would be x > 0.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.
Hence, the domain of the given function would be x > 0.
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