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:

(a) (3x-4)/(7x-1)=2(1)/(2) (b) (2y-3)/(2)-(y+4)/(3)=(5y-1)/(6) Solve the equation (3x-2)/(2)-(4x-1)/(3)=-2+(2x+1)/(5) If (3a+2b)/(7a-b)=(2)/(3), find the value of (2b)/(3a). If 2(x+4y)=5(5x-3y), find the value of (2x)/(y) rd Problems) Sarah is one and a half times older than her da

(a) 3x−47x−1=212 \frac{3 x-4}{7 x-1}=2 \frac{1}{2} \newline(b) 2y−32−y+43=5y−16 \frac{2 y-3}{2}-\frac{y+4}{3}=\frac{5 y-1}{6} \newlineSolve the equation 3x−22−4x−13=−2+2x+15 \frac{3 x-2}{2}-\frac{4 x-1}{3}=-2+\frac{2 x+1}{5} \newlineIf 3a+2b7a−b=23 \frac{3 a+2 b}{7 a-b}=\frac{2}{3} , find the value of 2b3a \frac{2 b}{3 a} .\newlineIf 2(x+4y)=5(5x−3y) 2(x+4 y)=5(5 x-3 y) , find the value of 2xy \frac{2 x}{y} \newlinerd Problems)\newlineSarah is one and a half times older than her da

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Transformations of functionsright chevron icon

Full solution

Q. (a) 3x−47x−1=212 \frac{3 x-4}{7 x-1}=2 \frac{1}{2} \newline(b) 2y−32−y+43=5y−16 \frac{2 y-3}{2}-\frac{y+4}{3}=\frac{5 y-1}{6} \newlineSolve the equation 3x−22−4x−13=−2+2x+15 \frac{3 x-2}{2}-\frac{4 x-1}{3}=-2+\frac{2 x+1}{5} \newlineIf 3a+2b7a−b=23 \frac{3 a+2 b}{7 a-b}=\frac{2}{3} , find the value of 2b3a \frac{2 b}{3 a} .\newlineIf 2(x+4y)=5(5x−3y) 2(x+4 y)=5(5 x-3 y) , find the value of 2xy \frac{2 x}{y} \newlinerd Problems)\newlineSarah is one and a half times older than her da
  1. Multiply by 3030: Multiply each term by 3030 to eliminate the denominators:\newline(3x−2)×(302)−(4x−1)×(303)=−2×30+(2x+1)×(305)(3x - 2) \times (\frac{30}{2}) - (4x - 1) \times (\frac{30}{3}) = -2 \times 30 + (2x + 1) \times (\frac{30}{5}).
  2. Simplify equation: Simplify the equation: \(3x - 22) \times 1515 - (44x - 11) \times 1010 = −60-60 + (22x + 11) \times 66\
  3. Distribute and combine terms: Distribute and combine like terms: 45x−30−40x+10=−60+12x+645x - 30 - 40x + 10 = -60 + 12x + 6.
  4. Combine like terms: Combine like terms on both sides:\newline5x−20=12x−545x - 20 = 12x - 54.
  5. Subtract xx terms: Subtract 12x12x from both sides to get all xx terms on one side:\newline5x−12x−20=−545x - 12x - 20 = -54.
  6. Combine like terms: Combine like terms: −7x−20=−54-7x - 20 = -54.
  7. Add to isolate xx: Add 2020 to both sides to isolate the xx term:\newline−7x=−34-7x = -34.
  8. Divide to solve xx: Divide both sides by −7-7 to solve for xx:x=−34−7.x = \frac{-34}{-7}.
  9. Simplify final answer: Simplify the fraction to get the final answer: x=347x = \frac{34}{7}.

More problems from Transformations of functions

Question
Find g(x)g(x), where g(x)g(x) is the reflection across the x-axis of f(x)=9∣x+2∣−4f(x)=9|x+2|-4.\newlineChoices:\newline(A)g(x)=9∣x+2∣−4]\text{}(A)g(x) = 9|x+2| - 4\text{]}\newline(B)g(x)=9∣x−2∣−4]\text{}(B)g(x) = 9|x-2| - 4\text{]}\newline(C)g(x)=−9∣x−2∣+4]\text{}(C)g(x)=-9|x-2| +4\text{]}\newline(D)g(x)=−9∣x+2∣+4]\text{(D)}g(x) = -9|x + 2| + 4\text{]}
Get tutor helpright-arrow

Posted 2 months ago

Question
What does the transformation f(x)↦f(x−4) f(x) \mapsto f(x - 4) do to the graph of f(x) f(x) ?\newlineChoices:\newline(A) translates it 4 units right\text{translates it } 4 \text{ units right}\newline(B) translates it 4 units down\text{translates it } 4 \text{ units down}\newline(C) translates it 4 units left\text{translates it } 4 \text{ units left}\newline(D) translates it 4 units up\text{translates it } 4 \text{ units up}
Get tutor helpright-arrow

Posted 2 months ago

Question
What does the transformation f(x)↦f(4x) f(x) \mapsto f(4x) do to the graph of f(x) f(x) ?\newlineChoices:\newline[A] stretches it vertically\newline[B] stretches it horizontally\newline[C]shrinks it horizontally\newline[D]shrinks it vertically
Get tutor helpright-arrow

Posted 1 month ago

Question
Find g(x)g(x), where g(x)g(x) is the translation 99 units down of f(x)=10x+8f(x) = 10x + 8.\newlineChoices:\newline(A) g(x)=10x−82g(x) = 10x - 82 \newline(B) g(x)=10x+98g(x) = 10x + 98 \newline(C) g(x)=10x−1g(x) = 10x - 1\newline(D) g(x)=10x+17g(x) = 10x + 17
Get tutor helpright-arrow

Posted 2 months ago

Question
What kind of transformation converts the graph of f(x)=−3x2−4 f(x) = -3x^2 - 4 into the graph of g(x)=−3x2+6 g(x) = -3x^2 + 6 ?\newlineChoices:\newline[A]translation 10 units up \text{[A]translation 10 units up} \newline[B]translation 10 units down \text{[B]translation 10 units down} \newline[C]translation 10 units left \text{[C]translation 10 units left} \newline[D]translation 10 units right \text{[D]translation 10 units right}
Get tutor helpright-arrow

Posted 1 month ago

Question
The parabola y=x2y=x^{2} is scaled vertically by a factor of 77. What is the equation of the new parabola?\newliney=y=
Get tutor helpright-arrow

Posted 4 months ago

Question
The parabola y=x2y=x^{2} is shifted down by 66 units and to the right by 55 units.\newlineWhat is the equation of the new parabola?\newliney=y=
Get tutor helpright-arrow

Posted 4 months ago

Question
The parabola y=x2y=x^{2} is shifted up by 22 units and to the right by 33 units.\newlineWhat is the equation of the new parabola?\newliney=y=
Get tutor helpright-arrow

Posted 1 month ago

Question
The parabola y=x2 y=x^{2} is reflected across the x x -axis and then scaled vertically by a factor of 55 .\newlineWhat is the equation of the new parabola?\newliney=□ y=\square
Get tutor helpright-arrow

Posted 2 months ago

Question
The parabola y=x2 y=x^{2} is scaled vertically by a factor of 110 \frac{1}{10} .\newlineWhat is the equation of the new parabola?\newliney= y=
Get tutor helpright-arrow

Posted 3 months ago

View all (102)