For this case we must find the solution of the following inequality:
5(x+5)<85
We apply distributive property on the left side of inequality:
5x+25<85
We subtract 25 from both sides of the inequality:
5x<85-25
5x<60
We divide between 5 on both sides of the inequality:
x<60/5
x<12
Thus, the solution is given by all values of x less than 12.
x<12
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
To learn more about the equation, refer
#SPJ2
Reason:
Compare the given equation to the template y = mx+b
m = -1 = slope
b = 3 = y intercept
If it helps, then think of y = -x+3 as y = -1x+3
The slope of the line represented by the equation y = -x + 3 is -1.
The question is asking you to find the slope of the line represented by the equation y = -x + 3. In the standard form of a linear equation, y = mx + b, m is the slope of the line. The slope of a line tells you how steep the line is. It is determined by the ratio of the vertical change (the 'rise') to the horizontal change (the 'run') between any two points on the line. In this case, the equation of the line is y = -x + 3, so the slope of the line is the coefficient of x, which is -1. Therefore, the correct answer is A, -1. This might contrast with the figure A1 example, in which m is 3, but for your particular equation, m is -1.
Learn more about slope here:
#SPJ11
85
110
143
Hello!
Answer:
Step-by-step explanation:
→ We want to find if the expression (xy)² is equal to x²y².
→ Let's simplify the expression:
→ We know that is equal to .
In our expression:
→ So the expression is equal to:
Conclusion:
The expression (xy)² is equal to x²y².
So the answer is true.
Answer:
True
Step-by-step explanation:
(xy)²
= xy × xy
= x × x × y × y
= x² × y²
= x²y² ← True
Answer with explanation:
A decimal number is terminating , if it's denominator is of the form
The fraction or Rational number ,
has both 2, and 11 in the denominator,it means this decimal number is non terminating repeating.
So,
Non terminating repeating decimal.
A. 2/9
B. 3/4
C. 7/9
D. 7/8
Answer:
It is indeed 7/9
To prove, I took the test with the answer 7/9, and took a screenshot.
Anyways, hope this helps, and have a great day