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:

3B−2C3B-2C quand B=∣4−3 02 10∣;C=∣10 24 0−3∣B = \begin{vmatrix} 4 & -3 \ 0 & 2 \ 1 & 0 \end{vmatrix} ;C= \begin{vmatrix} 1 & 0 \ 2 & 4 \ 0 & -3 \end{vmatrix}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Composition of linear and quadratic functions: find a valueright chevron icon

Full solution

Q. 3B−2C3B-2C quand B=∣4−3 02 10∣;C=∣10 24 0−3∣B = \begin{vmatrix} 4 & -3 \ 0 & 2 \ 1 & 0 \end{vmatrix} ;C= \begin{vmatrix} 1 & 0 \ 2 & 4 \ 0 & -3 \end{vmatrix}
  1. Calculate matrix B: Step 11: Calculate the matrix B.\newlineB=(4−3 02 10)B = \begin{pmatrix} 4 & -3 \ 0 & 2 \ 1 & 0 \end{pmatrix}
  2. Calculate matrix C: Step 22: Calculate the matrix C.\newlineC=(10 24 0−3)C = \begin{pmatrix} 1 & 0 \ 2 & 4 \ 0 & -3 \end{pmatrix}
  3. Multiply B by 33: Step 33: Multiply matrix B by 33.3B=3×(4−3 02 10)=(12−9 06 30)3B = 3 \times \begin{pmatrix} 4 & -3 \ 0 & 2 \ 1 & 0 \end{pmatrix} = \begin{pmatrix} 12 & -9 \ 0 & 6 \ 3 & 0 \end{pmatrix}
  4. Multiply C by 22: Step 44: Multiply matrix C by 22.2C=2×(10 24 0−3)=(20 48 0−6)2C = 2 \times \begin{pmatrix} 1 & 0 \ 2 & 4 \ 0 & -3 \end{pmatrix} = \begin{pmatrix} 2 & 0 \ 4 & 8 \ 0 & -6 \end{pmatrix}
  5. Subtract 22C from 33B: Step 55: Subtract 2C2C from 3B3B.3B - 2C = \begin{vmatrix} 12 & -9 \end{vmatrix} - \begin{vmatrix} 2 & 0 \end{vmatrix} = \begin{vmatrix} 10 & -9 \-4 & -2 \end{vmatrix} ∣06 48∣∣−4−2 36∣\begin{vmatrix} 0 & 6 \ 4 & 8 \end{vmatrix} \begin{vmatrix} -4 & -2 \ 3 & 6 \end{vmatrix} ∣30 0−6∣∣36∣\begin{vmatrix} 3 & 0 \ 0 & -6 \end{vmatrix} \begin{vmatrix} 3 & 6 \end{vmatrix}

More problems from Composition of linear and quadratic functions: find a value

Question
Find the inverse of the function. y=x+3 y = x + 3 Write your answer in the form ax+b ax + b . Simplify any fractions. y= y = _____
Get tutor helpright-arrow

Posted 3 months ago

Question
Find (r∘s)(x)(r \circ s)(x).\newliner(x) = 33x\newlines(x) = 22x + 55\newlineWrite your answer as a polynomial in simplest form.\newline(r∘s)(x)=(r \circ s)(x) = ____
Get tutor helpright-arrow

Posted 2 months ago

Question
What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3xf(x) = -3x\newlineg(x)=3x+1g(x) = 3x + 1\newline\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline‾\underline{\hspace{3cm}}\newline
Get tutor helpright-arrow

Posted 2 months ago

Question
What is (f∗g)(x)(f * g)(x)?\newlinef(x)=−x+4f(x) = -x + 4\newlineg(x)=4xg(x) = 4x\newline\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline‾\underline{\hspace{3em}}\newline
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the domain of (fg)(x)\left(\frac{f}{g}\right)(x)?\newlinef(x)=2xf(x) = 2x\newlineg(x)=−5x+3g(x) = -5x + 3\newlineChoices:\newline[A]All real numbers[\text{A]All real numbers}\newline[B]All real numbers except 35[\text{B]All real numbers except } \frac{3}{5}\newline[C]All real numbers except −35[\text{C]All real numbers except } -\frac{3}{5}\newline[D]All real numbers except 53[\text{D]All real numbers except } \frac{5}{3}
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the inverse of the function.\newliney = −3x-3x \newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______
Get tutor helpright-arrow

Posted 2 months ago

Question
Find (f∘g)(0)(f \circ g)(0).\newlinef(x)=6xf(x) = 6x\newlineg(x)=x2+4xg(x) = x^2 + 4x\newline(f∘g)(0)=(f \circ g)(0) = ____
Get tutor helpright-arrow

Posted 2 months ago

Question
Find (f∘g)(x)(f \circ g)(x).\newlinef(x)=x2+5f(x) = x^2 + 5\newlineg(x)=4xg(x) = 4x\newlineWrite your answer as a polynomial in simplest form.\newline(f∘g)(x)=(f \circ g)(x) = ______
Get tutor helpright-arrow

Posted 2 months ago

Question
Is f(x) f(x) the inverse function of g(x) g(x) ?\newlinef(x)=x f(x) = x \newlineg(x)=−4x g(x) = -4x \newlineChoices:\newline[yes] \text{[yes]} \newline[no] \text{[no]}
Get tutor helpright-arrow

Posted 2 months ago

Question
What is (f∗g)(x)(f * g)(x)? f(x)=3x2+9xf(x) = 3x^2 + 9x g(x)=3xg(x) = 3x Write your answer as a polynomial or a rational function in simplest form. ______
Get tutor helpright-arrow

Posted 3 months ago

View all (200)