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:

(4x+3)−(5x−7)=ax+b(4x+3)-(5x-7)=ax+b In the given equation, aa is a constant. What is the value of aa?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Calculusright chevron icon
Power rule IIright chevron icon

Full solution

Q. (4x+3)−(5x−7)=ax+b(4x+3)-(5x-7)=ax+b In the given equation, aa is a constant. What is the value of aa?
  1. Distribute negative sign: Simplify the expression by distributing the negative sign through the second set of parentheses: (4x+3)−(5x−7)(4x + 3) - (5x - 7).\newlineCalculation: 4x+3−5x+74x + 3 - 5x + 7.
  2. Combine like terms: Combine like terms: 4x−5x+3+74x - 5x + 3 + 7.\newlineCalculation: −1x+10-1x + 10.
  3. Identify coefficients and constant term: Identify the coefficients of xx and the constant term in the simplified expression, −1x+10-1x + 10.\newlineCalculation: Coefficient of x=−1x = -1 (a=−1a = -1), Constant term = 1010 (b=10b = 10).

More problems from Power rule II

Question
Find the derivative of f(x) f(x) .\newlinef(x)=x4 f(x) = x^4 \newlineWrite your answer as a constant times a power of x x .\newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 6 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=1x3 f(x) = \frac{1}{x^3} \newlineWrite your answer as a constant times a power of x x .\newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 6 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=x4 f(x)=x^{4} \newlineWrite your answer as a constant times a power of x \mathrm{x} .\newlinef′(x)= f^{\prime}(x)= \newlineSubmit
Get tutor helpright-arrow

Posted 6 months ago

Question
Using implicit differentiation, find dydx \frac{d y}{d x} .\newlinexy=−6+xy \sqrt{x y}=-6+x y
Get tutor helpright-arrow

Posted 6 months ago

Question
Consider the probability density curve plotted below:\newlineFind P(X≤21):1∣ P(X \leq 21): 1 \mid \newlineFind P(X>14) P(X>14) : Epter anineeger or decimal number (more.]
Get tutor helpright-arrow

Posted 4 months ago

Question
(a)\newlinef(x)=16x,x≠0g(x)=16x,x≠0.f(g(x))=□g(f(x))=□ \begin{array}{l} f(x)=\frac{1}{6 x}, x \neq 0 \\ g(x)=\frac{1}{6 x}, x \neq 0 . \\ f(g(x))=\square \\ g(f(x))=\square \end{array} \newlinef f and g g are inverses of each other\newlinef f and g g are not inverses of each other\newlineI Don't Know\newlineSubrlwit
Get tutor helpright-arrow

Posted 4 months ago

Question
Suppose that the functions f f and g g are defined as follows.\newlinef(x)=xx−9g(x)=8x+5 f(x)=\frac{x}{x-9} \quad g(x)=\frac{8}{x+5} \newlineFind fg \frac{f}{g} . Then, give its domain using an interval or union of intervals. Simplify your answers.\newline(fg)(x)=∏ \left(\frac{f}{g}\right)(x)=\prod \newlineDomain of fg \frac{f}{g} :
Get tutor helpright-arrow

Posted 4 months ago

Question
Sections 11.11 thru 11.44)\newlineUse analytical and/or graphical methods to determine the intervals on\newlinef(x)=1x+3 f(x)=\frac{1}{x+3}
Get tutor helpright-arrow

Posted 4 months ago

Question
x=−(3−cy)+6−7xx = -(3 - cy) + 6 - 7x 3x−y=32−x3x - y = \frac{3}{2} - x In the system of equations, cc is a constant. For what value of cc does the system of linear equations have infinitely many solutions?
Get tutor helpright-arrow

Posted 4 months ago

Question
F(x) = 22x - 11 and g(x) = x^22 + 55\newlineF(x) - 66 =
Get tutor helpright-arrow

Posted 2 hours ago

View all (5)

Related topics

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