The function below crosses thr x-axis once. Y=3×2-8x+8

5) ASAP HELP DUE IN 5MIN

Sever21 [200]

The answer is y=-5x :)

7 0

3 years ago

Read 2 more answers

A picture frame can hold a photograph that is 16 inches long and 12 inches wide.

Mila [183]

Answer:

192 inches because 16×12=192

8 0

3 years ago

Six customers enter a gift shop during a 3-hour period. On average there are 0.25 customers in the gift shop and each spends 7.5

Stolb23 [73]

Answer:

6 is most directly associated with the flow rate of customers

Step-by-step explanation:

Reason:

0.25 is the number of customers in the gift shop at a given point of time is WIP inventory

7.5 is the average time spent by customer in the shop and it is the throughput time.

Flow rate = WIP inventory/Throughput time

=0.25/7.5

= 0.0333 per minute = 2 per hour or 6 per 3 hour as given in question.

6 0

3 years ago

Find the longer leg of the triangle.

Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

The length of the hypotenuse (the side opposite to the right angle) is given.
The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let $\text{Opposite}$ denotes the length of the side opposite to the $30^{\circ}$ acute angle, and $\text{Adjacent}$ be the length of the side next to this $30^{\circ}$ acute angle.

$\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}$ .

Similarly,

$\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}$ .

The longer leg in this case is the one adjacent to the $30^{\circ}$ acute angle. The answer will be $3$ .

There's a shortcut to the answer. Notice that $\sin{30^{\circ}} < \cos{30^{\circ}}$ . The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the $30^{\circ}$ angle will be the longer leg. There will be no need to find the length of the opposite leg.