Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not. bG+Q^(3)=r Answer: b=

Solve the following equation for b b . Be sure to take into account whether a letter is capitalized or not.\newlinebG+Q3=r b G+Q^{3}=r \newlineAnswer: b= b=

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Write and solve direct variation equationsright chevron icon

Full solution

Q. Solve the following equation for b b . Be sure to take into account whether a letter is capitalized or not.\newlinebG+Q3=r b G+Q^{3}=r \newlineAnswer: b= b=
  1. Isolate b term: Isolate the term containing bb. To solve for bb, we need to isolate it on one side of the equation. We start by subtracting Q3Q^3 from both sides of the equation. bG+Q3−Q3=r−Q3bG + Q^3 - Q^3 = r - Q^3 This simplifies to: bG=r−Q3bG = r - Q^3
  2. Subtract Q3Q^3: Divide both sides by GG to solve for bb.\newlineNow, we divide both sides of the equation by GG to get bb by itself.\newlinebGG=(r−Q3)G\frac{bG}{G} = \frac{(r - Q^3)}{G}\newlineThis simplifies to:\newlineb=(r−Q3)Gb = \frac{(r - Q^3)}{G}

More problems from Write and solve direct variation equations

Question
In a direct variation, y=6 y = 6 when x=2 x = 2 . Write a direct variation equation that shows the relationship between x x and y y .\newlineWrite your answer as an equation with y y first, followed by an equals sign.
Get tutor helpright-arrow

Posted 5 months ago

Question
If y y varies directly with x x and y=12 y = 12 when x=6 x = 6 , find y y when x=4 x = 4 .\newlineWrite and solve a direct variation equation to find the answer.\newliney= y = ____
Get tutor helpright-arrow

Posted 5 months ago

Question
Which equation shows inverse variation?\newlineChoices:\newline(x36)=y(\frac{x}{36}) = y\newlineyx=−74yx = -74
Get tutor helpright-arrow

Posted 5 months ago

Question
Assume that y y varies inversely with x x . If y=1 y = 1 when x=4 x = 4 , find y y when x=2 x = 2 .\newlineWrite and solve an inverse variation equation to find the answer.\newliney= y = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
What is the value of x2y4 \frac{x^{2}}{y^{4}} when x=8 x=8 and y=2 y=2 ?
Get tutor helpright-arrow

Posted 5 months ago

Question
(x+4)(2x−a)=0 (x+4)(2 x-a)=0 \newlineIn the given equation, a a is a constant. If the equation has the solutions x=4 x=4 and x=−4 x=-4 , what is the value of a a ?
Get tutor helpright-arrow

Posted 3 months ago

Question
(2x+5)(−mx+9)=0 (2 x+5)(-m x+9)=0 \newlineIn the given equation, m m is a constant. If the equation has the solutions x=−52 x=-\frac{5}{2} and x=32 x=\frac{3}{2} , what is the value of m m ?
Get tutor helpright-arrow

Posted 3 months ago

Question
(4x+3)−(5x−7)=ax+b (4 x+3)-(5 x-7)=a x+b \newlineIn the given equation, b b is a constant. What is the value of b b ?
Get tutor helpright-arrow

Posted 3 months ago

Question
y=298x−23 y=\frac{29}{8} x-\frac{2}{3} \newlineThe given equation is graphed in the xy x y -plane. What is the slope of the line?
Get tutor helpright-arrow

Posted 8 months ago

Question
at2+72t−4=0 a t^{2}+\frac{7}{2} t-4=0 \newlineThe given equation has solutions at t=−8 t=-8 and t=1 t=1 . What is the value of the constant a a ?
Get tutor helpright-arrow

Posted 8 months ago

View all (80)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant