The solution to the given system of linear equations is x = -4, y = -10
Solving system of linear equationsFrom the question, we are to solve the given system of linear equations.
The given system of linear equations is
y = 2x - 2 ------------ (1)
-4x - y = 26 ------------ (2)
Substitute equation (1) into equation (2)
-4x - y = 26
-4x - (2x - 2) = 26
- 4x - 2x + 2 = 26
-6x + 2 = 26
-6x = 26 - 2
-6x = 24
x = 24/-6
x = -4
Substitute the value x into equation (1)
y = 2(-4) - 2
y = -8 - 2
y = -10
Hence, the x = -4, and y = -10
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60+15+20+21+20+30+45=?
Step-by-step explanation:
PLEASEEEE GIVE BRANLIEST
Answer:
60+15+20+21+20+30+45= *212*
Determine the range of the following graph: 12 11 10 8 5432 1 -12-11-10-9-8-7-6-5-4-3-2-1₁ - -5 -8 -9 -10 -12 1 2 3 4 5 6 7 8 9 10 11 12
The range of this graph (see attachment) include the following: {8, -6}.
How to identify the domain and range of a function?In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following:
Domain = -6 < x < 11 or [-6, 11].
Range = -6 < y < 8 or [-6, 8].
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Which is a true statement about the transformation?
A.) Triangle ABC was translated 8 units left and 3 units up.
B.) The pre-image is in quadrant II.
C.) The orientation of the figure was changed.
D.) The orientation of the vertices was changed
HELP ASAP
Answer: the answer is B
Step-by-step explanation:
Answer:b
Step-by-step explanation:
Assign point_dist with the distance between point (x1, y1) and point (x2, y2). The calculation is: distance = squarerootof( (x2 - x1)2 + (y2 - y1)2 ). Sample output with inputs: 1. 0 2. 0 1. 0 5. 0.
The point_dist with the distance between point (x1, y1) and point (x2, y2): point_dist = math.sqrt((x2 – x1) ** 2.0 + (y2 – y1) ** 2.0).
The program is the illustration of functions. Functions are the collections of defined program statements, which are executed when they are evoked.
In this case, the program in Python, in which comments are used to explain each line is as follows:
#This imports the math module
import math
#This defines the function
def calculate distance (x1, y1, x2, y2):
#This calculates the distance between the point_dist
point_dist = math.sqrt((x2 – x1) ** 2.0 + (y2 – y1) ** 2.0)
#This returns the calculated distance
return dist distance
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Although part of your question is missing, you might be referring to this full question: Assign point_dist with the distance between point (x1, y1) and point (x2, y2). The calculation is: Distance = SquareRootOf( (x2 - x1)2 + (y2 - y1)2 ). Sample output with inputs: 1.0 2.0 1.0 5.0. Points distance: 3.0.
Choose the statement that describes a relationship that has a negative slope. A Stan makes $2 for every customer on his newspaper route. B Lisa's parents give her $10 each week for her allowance. C Greg pays $25 each time he goes rock climbing. D The booster club makes $3 profit for each t-shirt they sell.
The statement that describes a relationship that has a negative slope: "Greg pays $25 each time he goes rock climbing".
What is negative slope?A negative slope indicates that two variables are adversely connected; that is, when x rises, y falls, and when x falls, y rises. A negative slope on a line graph signifies that the line falls as it travels from left to right. For example, when the number of individuals that quit smoking (x) grows, the number of persons developing lung cancer (y) drops. This relationship's graph has a negative slope. Positive slopes are predicated on the fact that when x grows, so does y, hence the change in y/change in x is positive. Negative slopes are based on the fact that when x grows, y decreases, resulting in a negative change in y/positive change in x, yielding a negative response.
Here,
"Greg pays $25 every time he goes rock climbing," says the statement describing a connection with a negative slope.
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What is the common ratio for this geometric sequence ? 28,23,18
The common ratio is 18/23.
What is the geometric sequence?
A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a fixed number, called the common ratio. To find the common ratio of a geometric sequence, we can divide each term by the previous term.
It's important to note that in a geometric sequence, the quotient of any two consecutive terms is always constant and that is the common ratio.
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. Its general term is.
aₙ= a₁ rⁿ⁻1. The value r is called the common ratio. It is found by taking any term in the sequence and dividing it by its preceding term.
Given the geometric sequence: 28, 23, 18
We can find the common ratio by dividing each term by the previous term:
r = 23/28 = 18/23
Therefore, the common ratio is 18/23.
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Given that k is any integer, list all of the possible values for x that are in
the specified interval.
(a) π/2+ k· π, −3π ≤x≤ 3π
(b) π/6 + k· 2π, -2π≤x≤2π
(c) 7π/12 + k· π, 0 ≤ x< 2π
(d) 4/π+k• π/4 0 ≤ x< 4π
Where k is an integer, the range of potential values for x is between 90 and 45.
what is integer ?Integers can be zero, a calculation that shows, or a minus integer signified by a minus sign. An additive inverse of a positive integer that it relates to is a negative number. A group of integers is usually denoted in mathematical notation by a bold Z or even a bold "mathbb Z." An integer is a positive, negative, and zero number that is not a fraction (pronounced IN-tuh-jer). Non-integer examples include the numerals 1.43, 1 3/4, 3.14, and more. A collection containing integers and their southern hemisphere is known as an integer set. Fractions and decimals are not included in the integer set.
given
a) π/2 + k * π =
= k = 90
b) π/6 + k· 2π =
k = 45
Where k is an integer, the range of potential values for x is between 90 and 45.
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Layla ha a coin that ha a 60% chance of howing head each time it i flipped. What i the probability that he get more than 3 head?
If there were only 5 coin tosses, the answer would be p5, where p= 0.6.
Now,
18 - 5 + 1 = 14 consecutive sequences of 5 flips contained in 18 flips. So it's tempting to say the answer is 14p5 ≈ 1.08, but it's also wrong. This is actually the number of expected 5-sticks, not the probability of at least one 5-stick. The problem is that since these sequences overlap, the events are not mutually exclusive, so we cannot sum them to get the overall probability. We have to subtract out all the possibilities of generating multiple 5 streaks, but calculating that probability is very complicated.
This post on stack swapping suggests an elegant approach that can be adapted to this problem. Let's define a sequence P(n). where P(n) is the probability of at least one consecutive heads after a total of n rollovers. So the answer of the question is P(18).
Clearly, P(0) = P(1) = P(2) = P(3) = P(4) = 0. This is because he can't get 5 heads in a row unless he flips the coin 5 times. P(5) is easy to compute, it only happens if all 5 flips are heads, so P(5) = p5 = 2433125 = 0.07776 .
Well, the length of the discontinuous part is n - 6, so the probability is
(1 −P(n−6)). The T,H,H,H,H,H part is the probability (1−p)p5 =(0,4)(0,6)5, and since these are independent events, the probability of THHHHH [not consecutive first letters] is (1−P( n −6))( 1−p) p5 .
Putting, All together:
P(n) = P(n−1) + (1−P(n−6))(1−p) p5.
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Help with geometry similar triangles. ABC ~ ADE. Solve for x.
Answer:
x=18
Step-by-step explanation:
We know that triangle ABC is similar to triangle ADE, so therefore the proportions of their corresponding sides must be congruent.
We know that all of AD is 15 and BD is 5, which leaves AB to be equal to 10.
Next, we set up the following proportion: 10/12 = 15/x because they are corresponding sides of similar triangles divided by eachother.
Cross multiply and you will get 10x = 12x15 (180)
next, divide both sides by 10 to isolate x
x = 18
Linday i 5 year younger than Mark. Seven year ago, the um of their age wa 31. Let L be Linday' age and let m be Mark' age
Seven years ago the sum of their ages was 31:
(L - 7) + (M - 7) = 31
Given that:
Lindsay is 5 years younger than Mark. Seven years ago, the sum of their ages was 31.
let L be Lindsay's age and let m be Mark's age.
L −7 = (M−7) + 5
⇒ L + M = 31
⇒ L = M + 5
⇒ (L−7) + (M−7) = 31
Now,
L−7 = (M−7) − 5
⇒ L + M = 31
Now, as we know that:
Lindsay is 5 years younger than Mark.
Therefore,
L = m −5
And,
Seven years ago the sum of their ages was 31:
(L−7) + (m−7) =31
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What is the maximum number of shapes that can be formed by cross sections of a cube?
05
6
7
8
6
if youadd 9 tot he thing you get the answr
The graphs of two equations intersect at a point with y -coordinate 4. If the first equation is y= -4+8 and the graph of the second equation is a line of slope 1 , find the second equation.
The second equation with a slope of 1 passing through (1, 4) is y = x + 3
What is an equation?An equation is an expression relating two or more numbers and variables.
The standard form of an equation is:
y = mx + b
Where m is the rate of change(slope) and b is the y intercept.
The first equation:
y = -4x + 8
Both equations intersect at a point with y -coordinate 4. Hence the corresponding x coordinate is by substituting y= 4:
4 = -4x + 8
-4x = -4
x = 1
The point is (1, 4)
The second equation has a slope of 1 and intersect at (1, 4). Hence:
y - 4 = 1(x - 1)
y = x + 3
The second equation is y = x + 3
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Mateo realizes that he forgot to record check 354 for $25.79, but he does not know the amount of check 353. Which
equation can be used to find the amount, in dollars, x, of check 353?
A. 1,225.70 + x = 1,460.89
B. 1,225.70 +25.79 + x = 1,460.89
c. 1,460.89 +* 1,536.71
D. 1,460.89 +25.79+ x = 1,536.71
The correct equation to find the amount, in dollars, x, of check 353 is:
D. 1,460.89 +25.79+ x = 1,536.71
How to solve the equationThis equation shows that the sum of check 354, check 353, and the known total of 1,460.89 is equal to the corrected total of 1,536.71. So by solving for x, you can find the amount of check 353.
To solve for x, you would subtract 25.79 and 1,460.89 from both sides of the equation:
x = 1,536.71 - 1,460.89 - 25.79
x = 50.03
So the amount of check 353 is $50.03
It is important to notice that option A and B doesn't include the missing check 354, and option C doesn't add the missing check 354 and the corrected total, so option D is the right one.
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Simplify.
6 + 2 (x-8) + 3x -11 + x
A.4x + 4
B.6x + 21
C.4x - 4
D.6x + (-21)
(Write each statement in function notation if you know what function notation is)
1. At 3 seconds, the toy rocket is higher than the drone.
2. At the start, the toy rocket is 25ft above the drone.
The statements that relate each function are given as follows:
1. At 3 seconds, the toy rocket is higher than the drone: f(3) > g(3).
2. At the start, the toy rocket is 25ft above the drone: f(0) - g(0) = 25.
What are the inequality symbols and what are the functions?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.The functions for this problem are given as follows:
f(x): height of the toy rocket after x seconds.g(x): height of the drone after x seconds.At 3 seconds, we have that the toy rocket is higher than the drone, that is, f(3) is greater than g(3), hence the inequality is given as follows:
f(3) > g(3).
At the start, the heights are given as follows:
Toy rocket: f(0), as the start is equivalent to a time of 0 seconds.Drone: g(0).The difference is of 25 ft, hence the expression is given as follows:
f(0) - g(0) = 25.
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What is the exponential form of 5184?
Answer:
The exponential form of 5184 is 5184
In simple words, the exponents can said to be the powers of the base. For example, in 2³, the exponent will be 3. If a number is given without any power then its power is 5184. The exponential form is simply the number with exponents.
this is due tonight and I still can't solve it :( its a test
For 16-19, graph each equation or inequality.
16. 2y – 4x < 8
17. -4y > -x + 12
18. | x + 3 |= y
19. |2x – 6| + 2 = y
The solution is the set of all points (x,y) that satisfy the inequalities:
y < 2x + 4, y < x/4 - 3, x + 3 = y, and 2x - 6 + 2 = y.
What is the graph of a function?
The graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of the function. In other words, it is a visual representation of the function's rule.
The graph of a function can take many different forms, depending on the function's rule. Linear functions, for example, will produce a straight line on the graph.
i) 2y - 4x < 8 can be solved by adding 4x to both sides and then dividing by 2, giving:
y < 2x + 4.
ii) -4y > -x + 12 can be solved by adding x to both sides and then dividing by -4, giving: y < x/4 - 3.
iii) | x + 3 | = y, you can split this into two cases:
i. x + 3 = y
ii. -(x + 3) = y
iv) |2x – 6| + 2 = y, you can split this into two cases:
i. 2x - 6 + 2 = y
ii. -(2x - 6) + 2 = y
We can use these equations to plot the graph on a coordinate plane.
Hence, the solution is the set of all points (x,y) that satisfy the inequalities:
y < 2x + 4, y < x/4 - 3, x + 3 = y, and 2x - 6 + 2 = y.
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How are you supposed to solve 50x8=?
Answer: 50x8 = 400 ✅
Step-by-step explanation:
To solve the equation 50x8=, you are supposed to multiply 50 by 8. (or add 50 8 times)
You can perform the multiplication by using mental math, a calculator or a pencil and paper.
So 50 multiplied by 8 equals to 400.
Is 512 a multiple of 8?
Yes, Number 512 represents it is a multiple of 8 is a true statement.
As given in the question,
Given number is equal to 8,
Given multiple is equal to 512 :
Multiple of any number is the representation of any number multiply by some integer.
When we multiply 8 by different integers we get its multiple as follow:
8, 16, 24, 32, 40, 48, 56, 64, 72,..... and so on.
When we multiply 64 by 8 we get 512.
Yes , the given statement is true.
Therefore, 512 represents a multiple of 8 which we get when we multiply 8 by 64 represents that the given statement is true.
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what is 14/10 converted
The given fraction converted to a decimal fraction is 1.4
The given fraction converted to a mixed fraction in its lowest terms is 1 2/5
Conversion of fractionsFrom the question, we are to convert the given fraction.
The given fraction is
14/10
Converting to a decimal fraction
14/10 = 1.4
Converting to a mixed fraction
14/10 = 1 4/10
Reducing the fraction
14/10 = 1 2/5
Hence,
The fraction converted is 1.4 and 1 2/5
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The volume of a can of soup is 37.68 cubic inches and the length of the radius of the base
of the can is 1.5 inches. Use the formula to determine the height of the can of soup.
Use 3.14 for pi.
When the capacity and radius are stated as 37.68 cubic inches and 1.5 inches, respectively, the height of the soup can is 5.34 inches.
what is volume ?It is also known as the object's capacity. The fundamental equation for volume is length, width, and height, as opposed to the fundamental equation for the area of a rectangular shape, which is length, breadth, and height. The math is the same regardless of how you refer to the different dimensions. For example, you can substitute "depth" for "height." Volume is used to describe an object's capacity.Volume can also be used to describe how much space a three-dimensional object occupies.
given
volume of a can of soup = 37 .68 cubic inches
length of radius = 1.5 inches
v = 37 .68 cubic inches
r = 1.5 inches
v = [tex]\pi r^{2} h[/tex]
37.68 = 7.06 * h
h = 5.34 inches
When the capacity and radius are stated as 37.68 cubic inches and 1.5 inches, respectively, the height of the soup can is 5.34 inches.
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What is the log2 of 0?
Log2 of 0 is undefined. Log values can be defined for only real numbers which is greater than 0.
It is not defined because log values is defined only for numbers greater than zero but not zero and negative numbers. It's not a real number, because you can never get zero by raising anything to the power of anything else. You can never reach zero.
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Serenity buys milk and potatoes at the store.
She pays a total of $31.69.
She pays a total of $4.09 for the milk.
She buys 4 bags of potatoes that each cost the same amount.
Write and solve an equation which can be used to determine xx, how much each bag of potatoes costs.
The required cost of each bag of potatoes cost is given as $6.9.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let the cost of each bag of potatoes be x,
According to the question,
4.09 + 4x = 31.69
4x = 31.69 - 4.09
x = 27.6/4
x =$6.9
Thus, the required cost of each bag of potatoes cost is given as $6.9.
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Nina can braid 48 inches of rope in 1 hr. What is her speed in feet per hour
Answer:
4 feet per hour
Step-by-step explanation:
48 inches is 4 feet in total
4 x 12 =48
What are the 3 types of problem solving?
The three different categories of problem-solving techniques are.
Clarifying.Ideating.Developing.What exactly does the term "problem-solving" mean?A problem must be defined, its cause identified, potential solutions located, ranked and selected, and then those solutions must be implemented. the steps taken to resolve problems.
Clarifying:
Making the situation clear is the first step in solving any issue.It simplifies things for you to handle and enables you to proceed.When speaking with clarifyers, salespeople should ask as many questions as possible to get more information.Ideating:
Making sense of the situation is the first step in solving any issue.It helps you to manage it better and enables you to proceed.When dealing with clarifyers, salespeople must ask as many clarification-related questions as they can.Developing:
The best course of action is something that developers are very careful to select.These people are meticulous perfectionists.Salespeople should give customers a few options in order to discover what distinguishes their decision from the alternatives.To know more about the problem-solving, here
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Solve using systems by substitution whats is y=x+8 and x+y=2
Answer:
Step-by-step explanation:
y = x + 8
x + y = 2
using substitution, since y is equal to x + 8 we substitute it for the y in x + y = 2
so we get: x + (x+8) =2
then we simplify, getting 2x + 8 = 2
We make the x on its own on one side of the equation by subtracting 8 on both sides.
2x = -6
divide
x = -3
y = 5
(if x = -3, y = 5 because -3 + 8 =5)
test answer
5 = -3 + 8 works and -3 + 5 = 2 works as well
please help i need to bring my grades up
The line that has the constant of proportionality between y and x of 1 / 2 , is C. Line C.
How to find the constant of proportionality ?The ratio used to compare changes in one variable to those in another is known as the constant of proportionality. The dependent variable fluctuates more with the independent variable when the proportionality constant increases.
The formula for the constant of proportionality is:
= Value of y / Value of x
For Line A we have point ( 1, 7 ) so the constant of proportionality is:
= 7 / 1
= 7
For line B, we have point (2, 3 ) so the constant of proportionality is:
= 3 / 2
= 1 . 5
For line C, we have point ( 4, 2 ) so the constant of proportionality is:
= 2 / 4
= 1 / 2
Line C is the line with a constant of proportionality of 1 / 2.
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Kevin needs to buy some wood to build a box 12 inches long, 8 inches wide, and 10 inches high. How much wood is needed to build a box
960 woods
Step-by-step explanation:
lxbxh=12×8×10=960
For what value of A is x 5 a factor of x² 3x² ax 10?
The value of A when x - 5 is a factor of x³ - 3x² + ax - 10 is -8.
A polynomial factor is a polynomial that divides another polynomial exactly, with no remainder.
For example, if we have a polynomial P(x) = x³ - 3x² + ax - 10, and we have a polynomial factor F(x) = x - 5, we can say that P(x) is divisible by F(x) with no remainder.
In general, a polynomial of degree n has n roots (or zeroes) and the factorization of polynomial can be expressed as a product of its roots and its corresponding multiplicity.
To find the value of A, set x = 5 in the equation x³ - 3x² + ax - 10 and solve for A that will make the equation equal to zero..
So when x = 5, we have:
x³ - 3x² + ax - 10 = 0
(5)³ - 3(5)² + a(5) - 10 = 0
125 - 75 + 5a - 10 = 0
5a = -40
a = -8
Hence, if x - 5 is a factor of x³ - 3x² + ax - 10, then A is equal to -8.
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Patrick and Oscar both went bowling last weekend, but not together. Patrick went during open bowling time, paying $1 for shoe rental and $6 per hour. Oscar went on family night, when each hour was $1 and shoe rental was $11. As it turned out, they played for the same number of hours and spent the same amount. How many hours did each one bowl? How much did each one spend?
Answer:
The spent 2 hours and $13.-------------------------------
Patrick has spent:
6x + 1 for x hoursOscar has spent:
x + 11 for x hoursSince they both spent same amount of money, we have:
6x + 1 = x + 116x - x = 11 - 15x = 10x = 2They both spent 2 hours and $(2 + 11) = $13.