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Questions in mathematics

[Jawaban] Find the sum and express it in simplest form. $\left(-5 x^3+6 x-4\right)+\left(-2 x^3+x\right)$

[Jawaban] Multiply. Write your answer as a mixed number. $6 \times 3 \frac{5}{9}$

[Jawaban] Solve the system of equations. Enter your answer as an ordered pair. [tex]\begin{array}{c} 4 x+5 y=14 \\ -4 x-2 y=-8 \end{array}[/tex]

[Jawaban] Which of the following steps indicates the addition property of equality while solving the equation $-1-6 x=x-15$? A) $-1-6 x+15=x-15+15$ B) $23-6 x-24=x-15$ C) $x=14 / 2$ D) $-1-6 x=x-15$

[Jawaban] Simplify the following: $\left(-3 p^4\right)\left(2 p^3\right)\left(p^2\right) = Input your answer WITHOUT spaces

[Jawaban] An air show is scheduled for an airport located on a coordinate system measured in miles. The air traffic controllers have closed the airspace, modeled by a quadratic equation, to non-air show traffic. The boundary of the closed airspace starts at the vertex at $(10,6)$ and passes through the point $(12,7)$. A commuter jet has filed a flight plan that takes it along a linear path from $(-18,14)$ to $(16,-13)$. Which system of equations can be used to determine whether the commuter jet's flight path intersects the closed airspace? $\begin{array}{l} y=\frac{1}{4}(x-10)^2+6 \\ y=-\frac{27}{34} x-\frac{5}{17} \end{array}$ $\begin{array}{l} y=\frac{1}{4}(x-10)^2+6 \\ y=-2 x-22 \end{array}$ $\begin{array}{l} y=\frac{1}{4}(x-5)^2+10 \\ y=-\frac{1}{2} x+5 \end{array}$ $\begin{array}{l} y=\frac{1}{4}(x-5)^2+10 \\ y=-2 x-22 \end{array}$

[Jawaban] At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which expression best shows another way to write the product for the temperature change? (A) 7 + 7 + 7 (B) 7 + 7 + 7 + 7 (C) (-1)(7 + 7 + 7) (D) (-7) + (-7) + (-7) + (-7)

[Jawaban] Maninder has 124 lemon trees on his farm. If each tree gives 2345 lemons in a year, how many lemons does Maninder get in total in a year?

[Jawaban] 309124 clips were shared among Lisa, Mary, and Ria. Lisa got 64 clips and the rest was divided between Mary and Ria so that Mary got twice as many clips as Ria. How many clips did Mary get? Anton planted a tree 24 cm tall in his garden. Each week it grew by 12 cm. How many weeks would it take the plant to grow to 3 metres?

[Jawaban] The shape of a satellite dish can be described as parabolic. Satellite dishes are this shape because radio waves are reflected from the surface of the dish and received into the focus. If the graph of the satellite dish is given by the equation [tex]$x^2=8 y$[/tex], what are the coordinates of the focus? ([tex]$\square$[/tex], [tex]$\square$[/tex])