The solution of the system equation is C) There is no solution
What is system equation?
A set of one or more equations comprising numerous variables is referred to as a system of equations. The variable mappings that satisfy all of the component equations in a system of equations, or the points where the components of this system of equations intersect, are the solutions to that system. A system of equations in algebra is made up of two or more equations that are solved together. the process of eliminating, substituting, and graphing solutions to a system of equations or inequalities in two variables
Here the given equations are ,
=> y+7=3x-------> 1
=> y = 3x-7 ------> 2
and 6x-2y =12------> 3
Now put value of 2 into 3 then,
=> 6x-2(3x-7)=12
=> 6x-6x+14=12
=>14=12
The statement is false for any real number.
Therefore the correct option for the given system equation is C) There is no solution.
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Use point-slope form to write the equation of a line that passes through the
point (14,-17) with slope -2.
Answer:
[tex]y+17=-2(x-14)[/tex]
Step-by-step explanation:
The equation of the line passing through the point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is [tex]y-y_1=m(x-x_1)[/tex].
can y’all help me please
The slope of the line x = 3 is undefined
How to describe the slope of the line
The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Mathematically, the slope is the change in y divided by the change in x. That is:
Slope = y2-y1 / x2-x1
Let's pick any two convenient points on the line:
(3, 9) and (3, -9) = > x1 = 3, y1 = -9 and x2 = 3, y2 = 9
Slope = 9-(-9) / 3-3 = 18/0
The denominator here is 0, if you evaluate this using a calculator you will a maths error. So we say the slope is undefined
Notice that: There is no change in x i.e. x1 = x2
Therefore, the slope of x = 3 is undefined because x = 3 is a vertical line
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determine the interval(s) for which the function shown below is decreasing
Answer:
(∞,-3) and (1,-∞)
Step-by-step explanation:
Decreasing means going down or in math terms, going toward the negatives.
When you are talking intervals in math, you only want to use the x-axis for the interval points. We write the interval as if it was a coordinate point though.
Looking at the graph it looks like it is going from infinity to -3 or written as (∞,3) and from 1 to negative infinity or written as (1, -∞)
The interval(s) for which the function shown below is decreasing are (∞,-3) and (1,-∞).
What is a function?A function is a relationship between two sets of values in mathematics where each input value (or "argument") corresponds to a certain output value.
In most cases, the input values come from a set referred to as the function's domain, while the output values come from a set referred to as the function's range.
Declining is the mathematical phrase for decreasing or moving towards the negatives.
Mathematicians only use the x-axis to represent interval points when discussing intervals. Yet, we express the interval as if it were a coordinate point.
If you look at the graph, it appears to be traveling from infinity to -3, which is written as (,3), and from one to negative infinity, which is written as (1, -).
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Value: 2
In the year 2000, the population of Ohio was 11.03 million people. By the year 2017 the
population of Ohio was 11.66 million people. Create an equation modeling the
population, p, of Ohio given the year, t. Round to the nearest hundredth if necessary.
O a. p=11.1t+232.14
O b. p=11.1t-11.66
O c. p=0.09t+191.93
O d. p=0.04x-68.97
Check Answer
An equation modeling the population, p, of Ohio given the year, t is,
p = 0.04t + 10.98.
What is population?
The term "population" refers to all citizens who are either permanently residing in a country or who are just passing through. This indicator reveals how many people typically reside in a certain area. Growth rates are the population changes that occur each year as a result of births, deaths, and net migration.
Given: In the year 2000, the population of Ohio was 11.03 million people. By the year 2017 the population of Ohio was 11.66 million people.
From this we get, two points (0, 11.03) and (17, 11.66).
First to find the slope using the above two points.
[tex]m=\frac{11.66 - 11.03}{17-0} = \frac{0.63}{17} = 0.04[/tex]
Now to find the equation,
Consider,
p - 11.66 = 0.04(t - 17)
p - 11.66 = 0.04t - 0.68
p = 0.04t - 0.68 + 11.66
p = 0.04t + 10.98
Therefore, the equation modeling the population, p, of Ohio given the year, t is, p = 0.04t + 10.98
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Which function is the inverse of f(x) = -5x—4
Answer: f^-1(x)= - 1/5x - 4/5
Step-by-step explanation:
substitute y for f(x): y= -5x-4
interchange x and y: x=-5y-4
swap the sides: -5y-4=x
move the constant -5y=x+4
divide both sides by 5 y= - 1/5x - 4/5
substitute f^-1(x) for y f^-1(x)= - 1/5x - 4/5
Let f(x)=x/x+1 and g(x)=√x-1
Find the following
i. f(a − 1) + g(a + 1)
ii. f(a² + 1)g(a² + 1)
Answer:
Step-by-step explanation: a square x b square
what is 4 2/3 - 1 1/3 / 4= because i cant get the right awnser
Step-by-step explanation:
first you have to multiply 4 with 3 and add with 2 and do same as in second .
then do lcm
7 1
The equation y--(x-4) is written in point-slope form. What is the y-intercept of the equation?
11
02
2
92
O
32
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The y-intercept of the equation y = (x - 4) is -4
How to determine the y-intercept of the equation?From the question, we have the following equation that can be used in our computation:
y --(x - 4)
Rewrite the equation properly
So, we have the following representation
y = (x - 4)
To calculate the y-intercept, we set x to 0
So, we have the following representation
y = 0 - 4
Evaluate the difference
y = -4
Hence, the y-intercept is -4
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Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents
Answer:
7 in
Step-by-step explanation:
If 12 inches of wire can be bought for $0.48, we can set up the following ratio:
[tex]\frac{12\text{ in}}{\$0.48}[/tex]
Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:
[tex]\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}[/tex]
Then, cross-multiply and solve for [tex]x[/tex]:
[tex]\$0.48x=(\$0.28)(12)[/tex]
[tex]\$0.48x=\$3.36[/tex]
[tex]x=\frac{\$3.36}{\$0.48}[/tex]
[tex]x=7[/tex]
