It means that x value is between 2 to 7 ( more than 2, but less than 7)
In notation, 2 < x < 7 or (2,7).
The linear equation that is perpendicular to the line x+3y=21 is:
y = 3*x - 6
<h3>How to find the equation of the line?</h3>
A general line in the slope-intercept form is written as:
y = m*x + b
Where m is the slope and b is the y-intercept.
Two linear equations are perpendicular if the product between the two slopes is equal to -1.
Rewriting the given line we can get:
x +3y = 21
3y = 21 - x
y = 21/3 - x/3
y = (-1/3)*x + 21/3
Then the slope is (-1/3), if our line is perpendicular to this one, then:
m*(-1/3) = -1
m = 3
our line is:
y = 3*x + b
To find the value of b, we use the fact that our line passes through (1, - 3)
-3 = 3*1 + b
-3 - 3 = b
-6 = b
The line is y = 3*x - 6
Learn more about linear equations:
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Answer:
x=\frac{64}{5}=12\frac{4}{5}
Step-by-step explanation:
1. Simplify the expression
\frac{-1}{4}\cdot\left(x+\frac{12}{3}\right)=\frac{+\left(-21\right)}{5}
Find the greatest common factor of the numerator and denominator:
\frac{-1}{4}\cdot\left(x+\frac{\left(4\cdot3\right)}{\left(1\cdot3\right)}\right)=\frac{+\left(-21\right)}{5}
Factor out and cancel the greatest common factor:
\frac{-1}{4}\cdot\left(x+4\right)=\frac{+\left(-21\right)}{5}
Multiply the fractions:
\frac{\left(-1\cdot\left(x+4\right)\right)}{4}=\frac{+\left(-21\right)}{5}
Expand the parentheses:
\frac{\left(-x-4\right)}{4}=\frac{+\left(-21\right)}{5}
Break up the fraction:
\frac{-x}{4}+\frac{-4}{4}=\frac{+\left(-21\right)}{5}
Find the greatest common factor of the numerator and denominator:
\frac{-x}{4}+\frac{\left(-1\cdot4\right)}{\left(1\cdot4\right)}=\frac{+\left(-21\right)}{5}
Factor out and cancel the greatest common factor:
\frac{-x}{4}-1=\frac{+\left(-21\right)}{5}
Answer : 4x is a mathematical sentence because it is posititive and you would multiply
Step-by-step explanation:
F(x) = 2x^2 + 2
f(5) = 2(5^2) + 2
f(5) = 2(25) + 2
f(5) = 50 + 2
f(5) = 52