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hichkok12 [17]
4 years ago
15

The demand model for a certain product is given below, where p represents the price of the product, and y represents the number

of units in demand. Interpret the slope. y = 4,500 - 450p
Mathematics
1 answer:
Paha777 [63]4 years ago
6 0
A. For each dollar the price increases, demand decreases by 450 units.
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What is the answer to -34 + 25 + (-25) =
sveta [45]

-34 + 25 + (-25)

= -34 + 25 - 25

= -9 - 25

= -34 answer

7 0
3 years ago
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Today only, a sofa is being sold at a 62% discount. The sale price is $311.60.
andrew-mc [135]

Answer:

The original price was $820.00

Step-by-step explanation:

820-62%=311.60

Hope this helped!

6 0
3 years ago
A person is standing close to the edge on a 56 foot building and throws the ball vertically upward. The quadratic function h(t)=
Romashka [77]

Answer:

Part 1)

225 feet.

Part 2)

7 seconds.

Step-by-step explanation:

The height h(t) of the ball above the ground after <em>t</em> seconds is modeled by the function:

h(t)=-16t^2+104t+56

Part 1)

We want to determine the maximum height of the ball.

Notice that the function is a quadratic with a negative leading coefficient, so its maximum will be at its vertex point.

The vertex of a parabola is given by:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -16, <em>b</em> = 104, and <em>c</em> = 56.

Find the <em>x-</em> (or rather <em>t-</em>)<em> </em>coordinate of the vertex. So:

\displaystyle t=-\frac{(104)}{2(-16)}=\frac{104}{32}=\frac{13}{4}=3.25\text{ seconds}

In other words, the ball reaches its maximum height after 3.25 seconds.

To find the maximum height, substitute this value back into the function. Hence:

\displaystyle h(3.25)=-16(3.25)^2+104(3.25)+56=225\text{ feet}

The maximum height of the ball is 225 feet in the air.

Part 2)

We want to find the amount of time it took for the ball to hit the ground.

When the ball hit the ground, its height above the ground is zero. Therefore, we can set h(t) to 0 and solve for <em>t: </em>

0=-16t^2+104t+56

We can simplify a bit. Divide both sides by -8:

0=2t^2-13t-7

We can factor. Find two numbers that multiply to 2(-7) = -14 and add to -13.

-14 and 1 works! Therefore, split the second term into -14 and 1:

\displaystyle 0=2t^2-14t+t-7

Factor out a 2<em>t</em> from the first two terms and group the last two terms:

0=2t(t-7)+(t-7)

Factor by grouping:

0=(2t+1)(t-7)

Zero Product Property:

2t+1=0\text{ or } t-7=0

Solve for each case:

\displaystyle t=-0.5\text{ or } t=7

Since time cannot be negative, we can ignore the first case.

Therefore, it takes seven seconds for the ball to hit the ground.

6 0
3 years ago
How many times greater is the value of the 4 in 400 than the value of the 4 in 40?
zzz [600]

Answer:

10X greater.

Step-by-step explanation:

4 x 10 = 40  4 x 100 = 400   40 x 10 = 400  40 ten times is 400

4 0
3 years ago
Katya is traveling upstream in a motor boat. She placed her hat on the seat behind her and right after she turned around, it wen
maks197457 [2]

Answer: 20 minutes.

Explanation:

Think of the water stream as being still (perhaps like a solid pavement), from the point of view of objects floating on the surface. (of course, from the POV of anyone standing on the banks, the water flows downstream). Think of the boat as a bike riding on the pavement. The boat just turned upstream and the hat fell into the water. In this POV, the hat lies on the surface and the boat/bike is riding away. For 20 minutes. Then (Katya realizes she lost the hat and turns back), the boat/bike needs exactly the same time, i.e., 20 minutes to come back to the hat, which rests at the same spot on the surface!

What makes the question initially confusing is the fact that the river flows with respect to the banks and one's mind is tempted to view the situation from there, which makes it much more complicated.

In physics this is referred to as choosing the suitable "frame of reference."

8 0
4 years ago
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