Answer:
Step-by-step explanation:
Let's find the solution, but first we need to understand the following:
multiplication of binomials establish that:
now, because your binomials are (x-9) and (x+2), using the above we obtain:
which can be simplified as:
giving the solution:
Answer:
-7x-18
Step-by-step explanation:
Solve the equation show all steps
Answer:
x= 5
Step-by-step explanation:
4x-6=x+9
Move the -6 to the other side of the equation by adding 6 to each side.
4x-6 + 6 =x+9 + 6
4x = x+15
Now move the x on the right side of the equation to the left side of the equation by subtracting x from each side.
4x - x = x + 15 - x
3x = 15
Now to isolate the x, divide both sides of the equation by 3.
3x/3 = 15/3
x = 5
Check your answer by substituting x = 5 into the original equation:
4x-6=x+9
4(5) - 6 = 5 + 9
20 - 6 = 14
14 = 14 >>> so this answer, x=5, is correct.
Answer:
For a unique solution, there must be as many consistent, independent equations as there are variables.
Step-by-step explanation:
Each equation lets you write an expression for one variable in terms of the others in that equation. That expression can be substituted throughout the system, reducing the number of equations and variables by one each.
After n-1 such substitutions in a system of n equations, there will be one equation left. If that is an equation in one variable, then the solution to the system can be easily found. If more than one variable remains (> n variables in n equations), then the system cannot be solved for definitive values of each of the variables.
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If the equations are inconsistent, there is no solution. If the equations are dependent, then there is no unique solution.
R=165-0.75a for men,
where a represents the person’s age. What would the desirable heart rate be for a 46 year old woman?
a. 113 beats per minute
b. 172.9 beats per minute
c. 143.7 beats per minute
d. 63 beats per minute
Answer:
Option a is correct.
The desirable heart rate be for a 46 year old woman is, 113 beats per minute.
Step-by-step explanation:
Here, R represents a person's desirable heart rate(in beats per minute)
and a represents the person's age.
The desirable heart rate of a person's can be approximated by the formulas;
For women:
......[1]
For men:
......[2]
To find the desirable heart rate be for a 46 year old woman.
⇒
Substitute in [1] we get;
beats per minute
Therefore, 113 beats per minute would the desirable heart rate be for a 46 years old woman.
What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2.