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Mathematics

2 answers:

Fynjy0 [20]4 years ago

6 0

The answer is a clockwise rotation of 90° about the origin

then a translation of 2 units right and 4 units up

Anika [276]4 years ago

4 0

Answer:

A clockwise rotation of 90° about the origin

then a translation of 2 units right and 4 units up.

Step-by-step explanation:

1 is wrong because a reflection across the y axis is not possible with ΔABC

2 is wrong because that would make it on the negative line of the y axis

3 is wrong because as stated before a reflection across the y is not possible

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In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta

Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let $x,\ x\ge 0$ be the number of students and $y,\ y\ge 0$ be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

$15x+25y\ge 3,750$

2. The auditorium can accommodate up to 180 spectators, hence

$x+y\le 180$

3. We get the system of inequalities:

$\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.$

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise $\$(15\cdot 50+25\cdot 125)=\$3,875$