Topic
Q:
Write the quadratic equation whose roots are 2 and -6 , and whose leading coefficient is 1 .
(Use the letter \( x \) to represent the variable.)
Q:
Write an equation for the line described. Give the answer in standard form.
through \( (1,9), m=-8 \)
Q:
Saint George has a hot day forcasted for Friday the temperature will be \( 100.7^{\circ} F \). Convert
the temperature to degrees Celsius using the expression \( (F-32) \div 1.8 \). Round your
answer to the nearest hundredth if necessary.
Q:
\( \Delta x ^ { 2 } + 5 x + 6 = 0 \)
Q:
Sean \( r_{1}:\left\{\begin{array}{l}x+y-z=0 \\ 3 x+4 z-k=0\end{array}\right. \) y \( r_{2}: \frac{x-1}{2}=\frac{y+7}{3}=-z \).
(a) Hallar la ecuación implícita del plano que contiene a \( r_{2} \) y es paralelo al eje de abscisas
(b) Hallar \( k \in \mathbb{R} \) para que \( d\left(r_{1}, r_{2}\right)=0 \).
Q:
12 Given that \( f(x)=\frac{4 x-5}{3} \), find \( f(-7) \).
Q:
Rapunzel jumped 14 times every 35 minutes. At that rate, how long, if
minutes, will it take to jump 6 times?
Q:
At an online store, each purchase earns the same number of points (called reward points). David has made 4 purchases and has earned 9.6 points.
(a) Let \( n \) be the number of points earned with each purchase. Write an equation that can be used to find \( n \). First choose an appropriate form. Then fill in
the blanks with the letter \( n \) and the numbers 4 and 9.6 .
\( \square+\square=\square \)
(b) Solve your equation for \( n \) to find the number of points earned with each purchase.
\( \square \)
Q:
(b) \( \frac{18}{57} \div\left(\frac{-32}{24}\right) \)
Q:
Holly was matched with several people on a dating app. She went on one dinner date, five
coffee dates, and two movie dates. Suppose the variables \( x, y \), and \( z \) represent the cost of
a dinner date, a coffe date, and a movie date respectively. Use these variables to
represent the total amount Holly spent on her dating experiences, if she paid.
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