Answer:-23
Step-by-step explanation:
Hello!
So the following would be your equation.
3(x+5)-10= 29
Your first step would be to use the Distributive Property based upon PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). Since we have Parenthesis, we distribute first.
3(x+5)-10=29
^ ^
——————
So, your new equation would be—
3x+15-10=29
Now, you need to combine like terms—
15-10=29
3x+5=29
——————
Therefore your new equation is—
3x+5=29.
Now you need to move the constants (5,29) to one side of the equal sign. To do this, you would use the Subtraction Property of Equality and rid the 5–
3x+5=29
-5 -5
——————
Your equation is now—
3x=24.
Finally, you need to remove the 3 from x. This means you must use the Division Property of Equality, and rid the 3.
3x=24
— —
3 3
Your solved equation is—
X=8
Hope this helped!
~KayEmQue
Parallel lines have equal slopes. so the equation y=-4x+5.has slope of -4 because this is in slope intercept form y=mx+b where m is slope.
so we know a parallel line will have slope -4
we have a point on the line so we will use point slope formula to solve.
y-y1=m(x-x1) where (x1,y1) is point on line
so we get
y-4=-4(x-0) to put in slope intercept form we solve for y
y-4=-4x
y=-4x+4 is an equation of a line parallel to y=-4+5 passing through (0,4)
Answer:
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Step-by-step explanation:
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F(x) = -4x + 1
g(x) = 3x + 1
A. (f + g)(x) = (-4x + 1) + (3x + 1)
(f + g)(x) = (-4x + 3x) + (1 + 1)
(f + g)(x) = x + 2
Domain: (-∞, ∞) {x|x ∈ R}
B. (f - g)(x) = (-4x + 1) - (3x + 1)
(f - g)(x) = (-4x - 3x) + (1 - 1)
(f - g)(x) = -7x
Domain: (-∞, ∞) {x|x ∈ R}
C. (f · g)(x) = (-4x + 1)(3x + 1)
(f · g)(x) = -4x(3x + 1) + 1(3x + 1)
(f · g)(x) = -4x(3x) - 4x(1) + 1(3x) + 1(1)
(f · g)(x) = -12x² - 4x + 3x + 1
(f · g)(x) = -12x² - x + 1
Domain: (-∞, ∞) {x|x ∈ R}
D. (f ÷ g)(x) = (-4x + 1) ÷ (3x + 1)
Domain: (-∞, ⁻¹/₃) U (⁻¹/₃, ∞) {x|x ≠ ⁻¹/₃}