Answer: A. This is a function
Step-by-step explanation:
As you see in the graph, the line rises and falls in the graph, in a function most of the times a line does this exact "movement" so the answer is A
True
False
Using equations, the two numbers are 27 and 13, with the first number being 14 less than the second number, and their sum is 40.
Let's represent the two numbers as x (the second number) and y (the first number).
According to the given information:
The first number is 14 less than the second number: y = x - 14
When she adds them, she gets 40: x + y = 40
Now, we can use these two equations to find the values of x and y.
Substitute the value of y from the first equation into the second equation:
x + (x - 14) = 40
Now, solve for x:
2x - 14 = 40
2x = 54
x = 27
Now that we have the value of x, we can find y using the first equation:
y = x - 14
y = 27 - 14
y = 13
So, the two numbers are 27 and 13.
Learn more about equations on:
#SPJ3
Answer:
34 and 6 =40
Step-by-step explanation:
40 divided by 2=20 20-14=6 14+20=34
B.) f(x) = x + 4
C.) y = x + 4
D.) y = 4x - 6
Answer:
31
Step-by-step explanation:
Median is the middle number when you order them ascending.
Answer:
40 million acres.
Step-by-step explanation:
15 ,27, 31, 40, 44. The median number is the middle number(arranged from least to greatest). In 5 numbers, the middle number is the 3rd number(arranged from least to greatest), therefore; the answer is 31.
For this case, the first thing we must do is define variables.
We have then:
x: Maggie's age
y: Age of Maggie's brother
We write the system of equations that models the problem.
We have then:
We solve the system of equations.
For this, we use substitution:
From here, we clear the value of x:
Answer:
Maggie is 9 years old
Maggie's age is 9
One variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:
or
ax + b = c,
where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
x, y = variable
Let Maggie's age = x
Maggie's brother = y,
In the statement of the task:
we translate this sentence into the equation
y = 2x-3 ... equation 1
we translate this sentence into the equation
x + y = 24 ...equation 2
Both of these equations are equations that have 2 variables, so the solution can be used in 3 ways:
the solution is the intersection point of the two equations / lines.
the solution is we change one variable into another variable form of an equation, then substitutes that variable in another equation
the solution is to eliminate one variable from the equation system.
to determine the variable x we eliminate the variable y first, or vice versa.
We use the second method: substitution
we substitute equation 1 into equation 2 :
So Maggie's age:
each of their ages
Three times b less than 100
6 = 4x + 9y solve for y
Keywords: variable, equation, substitution, elimination, graph, Maggie's age
HELP PLS HOW DO I DO THIS STEP BY STEP!!
Answer:
C. 2/3
Step-by-step explanation:
You want the value of C that makes the equation have no solution.
(3/4)(5 +(C/2)x) +2 = (x +7)/4
A calculator is not needed to simplify the equation. We can start by multiplying both sides by 4.
3(5 +(C/2)x) +8 = x +7
15 +(3C/2)x +8 = x +7
(3C/2)x +23 = x +7
This will have no solution if the coefficient of x is the same on both sides of the equal sign.
3C/2 = 1
Multiplying by 2/3 gives ...
C = 2/3
The value 2/3 for C will make the equation have no solution, choice C.
__
Additional comment
When C=2/3, the equation becomes one that reduces to ...
(x +23)/4 = (x +7)/4 . . . . . no value of x will make this true.
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Answer:
2/3
Step-by-step explanation:
3/4 * (5+ 2/3/2*x)+2 = x+7/4
Simplify
3/4(5+ 1/3x)+2 = x+7/4
15/4 + 1/4x +2 = x+7/4
23/4 + 1/4x = x+7/4
Cancel terms (multiply by 4 to get rid of 4)
23 + x = x + 7
23 = 7
false :)