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Morgarella [4.7K]
3 years ago
9

Explain how to graph the following function and determine its domain and range y=-x^2+4-7 ​

Mathematics
1 answer:
Bad White [126]3 years ago
3 0

Answer:

Domain is: ( − ∞ , ∞ ) ,  { x | x ∈ R }

range is: ( − ∞ , − 3 ]  ,  { y | y ≤ − 3 }

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Step-by-step explanation:

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Strawberries cost $2 per pound. Kate buys 5 pounds and gets 20% discount on the total cost. How much does Kate pay for the straw
Tema [17]

The total cost without the discount is given by:

C = (2) * (5)\\C = 10$

Then, to find the discounted amount, we make the following rule of three:

10 $ ------------------> 100%

x ----------------------> 20%

From here, we clear the value of x.

We have then:

x = (\frac{20}{100}) * (10)\\x = 2

Then, the cost of the Strawberries with the discount is:

10 - 2 = 8 $

Answer:

Kate pays for the strawberries about $ 8.

3 0
3 years ago
Read 2 more answers
A triangular prism is 40 millimeters long and has a triangular face with a base of 24 millimeters and a height of 35 millimeters
abruzzese [7]

Answer:

26,508

Step-by-step explanation:

To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

The top= 12 x 24 x 35 = 10,080

The lateral faces: 12 x 37 x 37 = 16,428

Surface Area= 10,080 + 16,428 = 26,508

7 0
3 years ago
The circumference of a roll of party streamers is 9 inches. The circumference decreases by 2 inches after you use the streamers
leonid [27]
For that case the new circumference is:
 C = 9 - 2
 C = 7 inches
 By definition, the circumference is:
 C = 2 * pi * r
 Where,
 r: radio
 Substituting values:
 7 = 2 * pi * r
 Clearing the radio:
 r = 7 / (2 * pi)
 Then, the diameter is:
 d = 2 * r
 Substituting:
 d = 2 * (7 / (2 * pi))
 d = 2.228169203
 Round to the hundredth:
 d = 2.23 inches
 Answer:
 
The diameter of the roll after the decrease is:
 
d = 2.23 inches
7 0
3 years ago
X&gt;-1 <br> help please!!!!!
Brums [2.3K]

Answer:

but if it was x>1 it would be less equal to

Step-by-step explanation:

x < 1 is greater than

3 0
2 years ago
Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if th
devlian [24]

Answer:

The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Step-by-step explanation:

Regression Output :

Predictor                            Coefficient

Constant                             3.0979

Square root of items          2.7633

R.sq.- 96.7%

So, with this data the regression equation is,

\hat{y}=3.0979+2.7633x

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items

Substitute x =22 in equation

\hat{y}=3.0979+2.7633(22)

\hat{y}=63.8905

Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

8 0
3 years ago
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