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Algebra Questions & Answers

Q:
1) \( 0.3 k \geq 24 \) 2) \( 3 n<\frac{18}{11} \)
Q:
b) \( (a+\sqrt{b})^{2} \)
Q:
The graphs defined as \( g(x)=a x^{2}+q \) and \( f(x)=k^{x}-14 \) both pass through \( (-2 ; 0) \) on the \( x \)-axis. The \( y \)-intercept of \( g \) is \( (0 ;-5) \). 4.1.1 Write down the equation of the asymptote of \( f \). 4.1.2 Write down the value of \( q \). 1.3 Write down the coordinates of the other \( x \)-intercept of \( g \). 1.4 Determine the equation of \( g \). 1.5 Determine the equation of \( f \).
Q:
a. \( 2 y-3 x=6 \)
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Write an equation of the line with the given slope and \( y \)-intercept. \[ \text { Slope }-7, y \text {-intercept }(0,1) \]
Q:
What is \( 6 z-2 y-8 z+5 y-4+z \) written in simplest form?
Q:
4. Товардын баасы жеткирип берүу акысы менен бирге 1200 сом турат. Товардын баасы жеткируу акысынан 200 сомго кымбатыраак. \( \begin{array}{c}\text { Товардын } \\ \text { баасы }\end{array} \)
Q:
What is \( 12 p+3 q-5-5 q-8 p \) written in simplest form?
Q:
Given a scalar \( k \) and a vector \( \mathbf{v} \) as follows: \[ k=-2 \] \[ \mathbf{v}=\left(\begin{array}{c}4 \\ 0 \\ -3\end{array}\right) \] Calculate the product of the scalar \( k \) and the vector \( \mathbf{v} \).
Q:
a. \( \frac{\left(2 x^{2} y\right)^{3}}{4 x^{0} y^{2}} \)

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