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Morgarella [4.7K]
3 years ago
9

Let f(x)=(x+2)^2

Mathematics
1 answer:
user100 [1]3 years ago
7 0
The graph if g(x) is vertically stretched by a factor of 3
Hope this helped :)
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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Bess [88]

Answer:

4c+6a\leq120\\\\4c+4a\leq100

Step-by-step explanation:

Let c represents child bikes and a represents adult bikes.

Given :  Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test.

With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.

Then, the required system of inequality :-

4c+6a\leq120----(1)\\\\4c+4a\leq100-----(2)

If company make 10 child bikes and 12 adult bikes in the week.

Then Put c=10 and a=12 bikes in (1) and (2).

4(10)+6(12)=40+72=112\leq120⇒Bike order meets the restrictions

4(10)+4(12)=40+48=88\leq100⇒Bike order meets the restrictions

Hence, the system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.

4c+6a\leq120\\\\4c+4a\leq100

3 0
3 years ago
What are the missing numbers for this ratio table
IrinaVladis [17]

Answer:

  • y = 8
  • x = 9

Step-by-step explanation:

The ratios of the numbers shown in the table are all ...

  y/x = 16/4 = 20/5 = 4

Then the missing y-value is ...

  y = 4x

  y = 4(2) = 8

__

And the missing x-value is ...

  36 = 4x

  36/4 = x = 9

_____

<em>Additional comment</em>

The x- and y-values in a "ratio table" are proportional to each other. That means the y corresponding to half an x-value will be half the y-value. In other words, the y for x=2 will be half the y for x=4, or 16/2 = 8.

Also, the values add. We notice that y=36 is the sum of y=16 and y=20. This means the corresponding x-value for y=36 will be the sum of x=4 and x=5, or x = 4+5 = 9.

4 0
2 years ago
The net of a square pyramid is shown: A square is shown having each side equal to 0.25 inch. Each side of the square has a trian
Molodets [167]

Answer:

0.6625

Step-by-step explanation:

To find the surface area, calculate the area of each shape and add it together, A pyramid has 1 square and 4 triangles in its net,

Area of square is A=s*s=0.25*0.25=0.0625.

Area of a triangle is A= 1/2 b*h = 1/2 (0.25)(1.2) = 0.15.

There are four equal triangles so together there area is 4*0.15 = 0.60.

Add the square to it and you have the surface area of the pyramid.

0.0625 + 0.60 = 0.6625


7 0
3 years ago
Read 2 more answers
The bases of a trapezoid are 11 meters and 14 meters. It’s height is 10 meters. What is the area of the trapezoid
Dmitriy789 [7]
Formula for area of a trapezoid: a = [(b1 + b2)/2] x h

Applied:

a = [(11 + 14)/2] x 10
a = [25/2] x 10
a = 12.5 x 10
a = 125

The area of the trapezoid is 125 meters squared.
8 0
4 years ago
Please help im 25% blind
FrozenT [24]

Answer:

c

Step-by-step explanation: all you have to do is work it out

5 0
3 years ago
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