There is no particular formula for substitution instead it is a method to solve the linear equations in two variables.
The substitution method is a simple method to solve a system of linear equations algebraically and find the solutions of the variables. As the name implies, it applies to finding the value of the x-variable in terms of the y-variable from the first equation and then substituting the value of the x-variable in the second equation.
In this method, we can find the value of the y-variable by solving the equation. And then, we can substitute the value of y in any of the given equations to find the value of x.
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does someone mind helping me with this problem? Thank you!
Answer:
The first step in solving this system of equations by elimination method is to eliminate one of the variables by adding or subtracting the two equations.
-9x - 4y = 1
3x + 3y = 3
If we multiply the first equation by 3 and the second equation by -9, we get:
-27x - 12y = 3
-27x - 27y = -27
Now we can add these two equations:
-12y = -24
y = 2
Now we can substitute this value of y back into one of the original equations to find the value of x.
-9x - 4(2) = 1
-9x - 8 = 1
-9x = 9
x = -1
So the solution of this system of equations is (x,y) = (-1,2)
Answer:
You just have to plug in one equation into the other, though you might already know this but the answer would be,
(-1,2)
Points A through H are translated to the right to create points A' through H'. All of the following are
rectangles: GHBA, FCED, KH'C'J, and LJE'A'. Which is greater, the area of blue rectangle DFCE or
the total area of yellow rectangles KH'C'J and LJE'A'?
The area of yellow rectangles KH'C'J and LJE'A' is greater than the area of blue rectangle DFCE. .
What is rectangle?Rectangle is a flat, four-sided shape with four right angles and a pair of parallel lines. It is one of the most basic and commonly used shapes in geometry. It is also the most common shape used in architecture and construction. Rectangles have area, perimeter, and diagonal measurements, which makes them a useful tool for measuring and calculating. They are also used in a variety of other applications, such as designing window frames, creating art, and laying out floor plans.
To determine the area of DFCE, multiply the length of the base (DF) by the height (CE). The area of the two yellow rectangles, KH'C'J and LJE'A', can be determined by adding the area of each rectangle. The area of rectangle KH'C'J is equal to the product of the length of its base (KH') and the height (C'J). The area of rectangle LJE'A' is equal to the product of the length of its base (LJ) and the height (E'A'). Adding the areas of both yellow rectangles gives us the total area of both, which is greater than the area of blue rectangle DFCE.
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I need help asap help me with all questions and please put. The number for the question so I know thank you
Answer:
1. 6
2. 8
3. 80
4. 11
5. 60
6. 3
7. 30
8. 0.8
9. 5
10. 600
11. 150
12. 110
13. 15
14. 1.1
15. 36
Hope it helps
Is a quadratic parent function a parabola?
Yes, the quadratic parent function is the parabola.
The term parent function in math is defined as the simplest function of a family of functions that preserves the definition or shape of the entire family.
Here we have to identify that whether the quadratic parent function is a parabola or not.
According to the definition of parent function, the quadratic parent function is written as,
=> f(x) = x²
And here we also know that the quadratic function is one of the form
=> f(x) = ax² + bx + c
here a, b, and c are refers the numbers with a not equal to zero.
Here we all know that the graph of a quadratic function is a curve called a parabola.
which tells, the the quadratic parent function also have the graph as parabola.
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please please helpp!!
The value of 'n' in this right-angled triangle is n = 8.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.
Therefore, From the given information 3.4n + 9.2n - 10.8 = 90.
12.6n = 100.8
n = 100.8/12.6.
n = 8.
So, The value of n is 8.
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Which is a correct ordered pair using Sabah's function? *
O ($1125, $500)
O ($1250, $505)
O ($1300, $505)
O ($1600, $532)
Using Sabah's function, ($1125, $500) is the right ordered pair. It is not a function if any of the x values are the same, but this is not true if the y values are different.
What is a ordered pair function in math?A set of ordered pairs is not a function if an x value has more than one y value associated with it. For instance, in the relation (4, 1), (4, 2), the x-value of 4 has y-values of 1 and 2, indicating that this relation is not a function. The connection is a function if each x-value has a single corresponding y-value.
An ordered group of pairs makes up a relation (x, y). A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane. An ordered pair of numbers can have either fractional or integer values.
Therefore the correct answer is ($1125, $500) .
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What is the slope of the line (- 3 4 and 0 2?
The slope of the line (-3, 4) and (0, 2) is -2/3.
In the given question, we have to find the slope of the line (-3, 4) and (0, 2).
A line's slope is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
The given points are (-3, 4) and (0, 2).
We can find the slope from the given point using the formula
m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]
From the given points;
x(1) = -3, y(1) = 4, x(2) = 0, y(2) = 2
Now putting the values in the formula;
m = (2 - 4)/(0 - (-3))
m = (-2)/(0 + 3)
m = -2/3
Hence, the slope of the line (-3, 4) and (0, 2) is -2/3.
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The owner of a sporting goods store randomly surveys 150 customers, of whom 95 are first-time customers. During the next week, the store has 900 customers. Based on the data from the survey, how many of the customers can the store owner expect to be first-time customers?
Answer: 570
Step-by-step explanation: In survey the total customers were 150 so our sample size is 150.
Total number of First time customer = 95
Probability of being a first time customer = 95/150 = 0.63
So on first day using same probability the first time customers will be 900 × 0.63 = 570
6+ (-8)=
Add these numbers together
Answer: -2 !
Step-by-step explanation: All you have to do is simplify the equation !
Answer:
Step-by-step explanation:
The rule in adding unlike integers(integers with different signs) is to subtract the two integers and copy the sign of the bigger number. So 6 + (-8) = -2
Is the relation shown below a function? Explain.
Is the relation shown below is not a function.
Define function?A relationship between two sets known as the domain and the co domain, where there is one output for each input, is called a function. The amounts represent a relation if you have more than one output for a specific input, or if the elements of A and B do not map uniquely. The vertical line test, which states that at any point if a vertical line produces two intercepts of the curve, the curve cannot be a function, can be used to demonstrate that a relationship graph is a function.Given are two sets with {5,10,15,20} and {10,20,30,40,50} where there is a mapping.We find that while 5,10,15 have unique mappings while 20 have two mappings.Since there is an element in the I set have two images, this cannot be a function.To learn more about function refer to:
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pls help me with this
-9x+5=-9x-1+6 is the equation which has no solution.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -7x+2x+5-4x=_x+6
Add the variable on left hand side
Minus seven times of x plus two times of x plus five minus four times of x equal to x plus six.
-9x+5=-9x-1+6
Hence, -9x+5=-9x-1+6 is the equation which has no solution.
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Thank you please help
Answer:
[tex]\frac{2}{3}[/tex]
Hope this helps!
Step-by-step explanation:
Slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
b = ( -2, 0 )
a = ( -5, -2 )
[tex]slope = \frac{0 - (-2) }{-2 - ( -5)}[/tex]
slope = [tex]\frac{2}{3}[/tex]
Micah saved $6 on a $40 pair on pants. ________
select the two values of x that roots of this equation x^2+3x-5=0
The solution to the equation x² + 3x - 5 = 0 are ( -3 - √( 29 ))/2 and ( -3 +√( 29 ))/2.
What are the solutions to the given equation?The quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given the equation in the question;
x² + 3x - 5 = 0
Hence;
a = 1
b = 3
c = -5
We substitute this values into the quadratic formula above.
x = (-b±√(b² - 4ac)) / (2a)
x = ( -3 ± √( 3² - ( 4 × 1 × -5) )) / ( 2 × 1)
x = ( -3 ± √( 9 - ( -20 ) )) / ( 2 )
x = ( -3 ± √( 9 + 20 )) / 2
x = ( -3 ± √( 29 )) / 2
x = ( -3 - √( 29 ))/2, x = ( -3 +√( 29 ))/2
Therefore, the two values of x are ( -3 - √( 29 ))/2 and ( -3 +√( 29 ))/2.
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How do you find the area of an l angle?
A compound shape is a shape that is made up of other simple shapes. In this article, we will be working out the area of an L shape (made up of two rectangles). To find the area of a compound shape, follow these simple steps:
Step 1: Work out the missing lengths around the edge of the compound shape.
Step 2: Divide your L shape into two rectangles. This can be done in 2 different ways (both methods will give the same answer).
Step 3: Work out the area of each rectangle. Do this by multiplying the base of the rectangle by the height of the rectangle.
Step 4: Add the areas of the rectangles together to give the total area of the L shape.
Complete question: How do you find the area of an L angle?
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The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in.
What fraction of people were born in France?
Give your answer in its simplest form.
The fraction of people were born in France is 7/24 .
What is a Pie Chart?
A pie chart is a graphical representation used to describe the composition of a data using degrees or percentages.
Given,
The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in.
So, from the given pie chart
105° is given as the number of people that were born in the France
That's about: 105/360 × 120 = 35 people.
35 out of 120 people would give us a fraction of: 35/120 = 7/24 .
Hence, The fraction of people were born in France is 7/24 .
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-2x-4-(-10 + 3x)
pls help
Answer: -5x+6
Step-by-step explanation:
simplify by distributing the numbers on the outside, to the ones in the binomial
Answer:
-5x + 6
Step-by-step explanation:
First, rearrange the terms, you will have -2x-4(3x-10) Next, Distribute, you will have -2x-4-3x+10. Now, add the numbers without variables, you'll get -2x+6-3x. Finally, combing the like terms and you arrive with -5x+6.
A passenger train left Orlando traveling 60 mi/hr. After the train
had traveled 100 miles, a freight train started down a parallel
track at 80 mi/hr. Graph the system of linear equations. How long
after the freight train takes off will it catch the passenger train?
What distance had the trains traveled?
d=r.t
After how many hours will the freight train catch the passenger train?
How many miles had the trains traveled?
The 90 km distance between orlando and New York meant that the freight train was closer to the station in New York.
what is linear equations ?A linear equation is one that satisfies the algebraic formula y=mx+b. The foregoing sentence is sometimes referred to as a "linear equation with two variables" because y and x are variables. Bivariate linear equations are two-variable linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
The New York to Boston train was traveling farther and quicker.
Even though it was delayed and moved more slowly, the train from Boston to New York is closer to New York.
1.5 hours from the New York station, the two trains crossed paths.
By this time, the passenger train from New York to Boston was 120 kilometers away from the station in New York.
The 90 km distance between orlando and New York meant that the freight train was closer to the station in New York.
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Which expression is equivalent to 5 Superscript 7 Baseline times 5 Superscript negative 5 Baseline?
The given expression is equivalent to 125.
What is algebraic expression ?
Algebraic expression can be defined as the combination of variables and constants .
The given expression is
(5^-2) (5 ^ -1 )
The expression is about two powers with the same base, so we can use the power property of multiplication, which states that we must proceed we writing only one base and sum exponents
(5^-2) (5 ^ -1 ) = 5 ^ (-2-1)
= 5 ^ -3
= 1/(5*5*5)
Then, we use the negative exponent property
= 1/125
Finally, we solve the power
1/5*5*5 = 1/125
Therefore, the given expression is equivalent to 125.
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3x+6y = 18
2x+5y= 24
Pls use elimination!
Answer:
Step-by-step explanation:
3x+6y = 18
y=4
2x+5y= 24
y=9.5
What do we mean when we say numeric.
Answer: Numeric is anything of, relating to, or containing numbers. The numbering system consists of ten different digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. If a value is an alphanumeric, it contains letters and numbers.
Step-by-step explanation:
what is the smallest integer greater than 38 that cannot be the length of the hypotenuse of a right triangle with integer side lengths?
The smallest integer greater than 38 which cannot be the length of the hypotenuse of a right triangle is 39.
Since 39 is divisible by 3, it cannot be the hypotenuse in any Pythagorean triples. Because for primitive Pythagorean triples, the hypotenuse is never divisible by 3.
What is a primitive Pythagorean triple?A primitive Pythagorean triple is one where a, b and c are coprime (which is, they have no common divisor larger than 1). For example, (3, 4, 5) is a primitive Pythagorean triple while (6, 8, 10) is not. For any primitive Pythagorean triple the integer c or the hypotenuse cannot be divisible by 3. Divisibility by 3 is only reserved for spots a and b.
There are an infinite number of Pythagorean triples. If 2n+1 is a square, it forms a Pythagorean triple. But 2n+1 comprises all the odd numbers; each of other square numbers is odd; there are an infinite number of odd squares; thus, there are an infinite number of Pythagorean triples.
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if. david has 19 bills in his wallet worth 125 all fives and tens how many of each bill does he have
Answer:
T=6 NUMBER OF TEN DOLLAR BILLS.
F=13 NUMBER OF FIVE DOLLAR BILLS.
Step-by-step explanation:
F+T=19 F=19-T
5F+10T=125 NOW SUBSTITUTE (19-T) FOR F IN THIS EQUATION & SOLVE FOR T
5(19-T)+10T=125
95-5T+10T=125
5T=125-95
5T=30
T=30/5
PROOF
5*13+10*6=125
65+60=125
125=125
correct answer gets brainliest ( please help me asap)
What is the derivative of 7e to the 7x?
The derivative of 7e to the 7x is 7e to the 7x * 7ln(e) * 7. The derivative of 7e to the 7x can be found by first taking the natural logarithm of the base, in this case e7x.
1. Take the natural logarithm of the base: ln(e7x)
2. Take the derivative of the natural logarithm: 7x*ln(e)
3. Apply the chain rule: 7e7x * 7ln(e) * 7
The derivative of 7e to the 7x can be found by first taking the natural logarithm of the base, in this case e7x. The natural logarithm of e7x is ln(e7x). Taking the derivative of the natural logarithm yields 7x*ln(e). We then apply the chain rule to get the final result of 7e7x * 7ln(e) * 7. In other words, the derivative of 7e to the 7x is equal to 7 multiplied by e raised to the 7x power, multiplied by 7ln(e), and then multiplied by 7 once more. This can be simplified to 7e7x * 7ln(e)7.
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I need help your supposed to write it into an equation and solve it
Answer: 542+(87+41) = 670
Step-by-step explanation:
In the picture triangle A' B' C' is an image of triangle ABC after a rotation
Since triangle A'B'C' is an image of triangle ABC after a rotation and the center of rotation is D, the length of side B'C' is equal to 4 units.
What is a rotation?In Mathematics, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Generally speaking, rotation simply refers to a type of transformation that preserves both the shape and side lengths of a geometric figure.
In this context, we can reasonably infer and logically deduce that the magnitude of side length BC before a rotation of the triangle would be equal to side length BC B'C' after rotation:
Side BC = side B'C'
4 = 4
In conclusion, the length of side B'C' is equal to 4 units.
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Complete Question:
In the picture triangle A'B'C' is an image of triangle ABC after a rotation. The center of rotation is D.
What is the length of side B'C'?
finding interior and exterior angles of polygon worksheet.
How do you solve these problems?
Interior angle of a polygon = (n-2) * 180 / n
Exterior angle of a polygon = 360 / n
How to translate coordinates?To translate coordinates in a two-dimensional plane, you need to know the translation vector. A translation vector is a pair of numbers (a, b) that indicates the amount of movement in the x-direction and y-direction.
To translate a point (x, y) by the translation vector (a, b), you can use the following formulas:
x' = x + a
y' = y + b
Where x' and y' are the new coordinates of the point after the translation.
A translation is a transformation that moves a figure a certain distance in a certain direction without rotating or reflecting it. In this case, we are asked to translate the triangle EFG 2 units down. This means that we need to move the triangle down 2 units on the y-axis.
To translate a point (x, y) down 2 units, we can add -2 to the y-coordinate. The new coordinates of the point will be (x, y - 2).
The coordinates of E are (-4, 1), so the coordinates of E' after the translation are (-4, 1-2) = (-4,-1)
The coordinates of F are (-3,-2), so the coordinates of F' after the translation are (-3,-2-2) = (-3,-4)
The coordinates of G are (2, 1), so the coordinates of G' after the translation are (2,1-2) = (2,-1)
So the new coordinates for the triangle EFG' after the translation are:
E'(-4,-1)
F'(-3,-4)
G'(2,-1)
It's important to notice that the x-coordinates didn't change because we are only translating the triangle down, on the y-axis.
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Rectangles have the following properties:
(pick all that apply)
Multiple select question.
A)
Diagonals are congruent
B)
Opposite angles are congruent
C)
Adjacent sides are parallel
D)
All 4 angles are 90 degrees
E)
Opposite sides are congruent
F)
Consecutive angles add to 360 degrees
G)
Cannot be a parallelogram
Rectangles have the following properties:
The diagonals are congruent Opposite sides are congruentAll 4 angles are 90 degreesWhat are the properties of Rectangles?A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
A rectangle's opposite sides are the same length (congruent). A rectangle's angles are all congruent (the same size and measure.) The term "right angle" refers to an angle that is 90 degrees or more. A rectangle therefore has four right angles. A rectangle's opposing angles are congruent.
Therefore, options A, B, D , are correct.
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What is teh value for the expression 6 + 9w - 5s when w = 7 and s = 2?
The value for the expression 6 + 9w - 5s is 59.
How do you locate the algebraic expression?You must substitute a number for each variable and carry out the arithmetic procedures to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the case above equals 6. If we are aware of the values of our variables, we can replace the variables with those values before evaluating the expression.
When the variables and constants of an expression are given values, the outcome of the computation it describes yields the expression's value. The quantity that the function assumes for these argument values is the value of the function, given the value(s) assigned to its argument(s).
The expression 6 + 9w - 5s when w = 7 and s = 2.
6 +(9*7 - 5*2) = 6+63 - 10 = 59.
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