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WARRIOR [948]
3 years ago
12

For the function f(x) = 9-xcalculate the following function values: f(1) = f(2)=

Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer:

f(1) = 8, f(2) = 7

Step-by-step explanation:

Function: f(x)= 9-x

f(1) = 9-1 = 8

f(2) = 9-2 =7

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Graph the image of this quadrilateral after a dilation with a scale factor of 4 centered at the origin
Brut [27]

Answer: The image is attached.

Step-by-step explanation:

A Dilation is defined as  a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the  dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1,  the image obtained after the  dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

scale\ factor=4

Since:

4>1

It is an Enlargement.

You can identify that the vertices of the pre-image shown in the figure, are:

(-2,1)\\\\(-1,2)\\\\(0,0)\\\\(-1,-2)

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

((-2)(4),1(4))=(-8,4)\\\\((-1)(4),(2)(4))=(-4,8)\\\\((0)(4),(0)(4)=(0,0)\\\\((-1)(4),(-2)(4))=(-4,-8)

Now you can draw it (The image is attached).

8 0
3 years ago
The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees. Which of the following is not one of th
Diano4ka-milaya [45]

Answer:

55

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The following blueprint of a kitchen has dimensions of 7 inches by 7 inches. The island has been highlighted in red. The island'
AlekseyPX
<span>2 5/8 inches by 1 5/16 inches

If the conversion is just feet to inches, just replace the feet with inches </span>
4 0
3 years ago
11 m 40 cm + 58 m 30 cm
V125BC [204]

Answer:

69 m 70 cm

Step-by-step explanation:

8 0
3 years ago
Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and
maria [59]

Answer:

See Step by step explanation

Step-by-step explanation:

Objective Function:  z

x =  number of contemporary style

y = number of farmhouse style

Costs

Carpentry costs:

15*2*x  +  15*2,5*y    =  30*x  +  37,5*y

Painting costs

12*1,5*x  +  12*1*y      =  18*x  +  12*y

Finishing costs

18*1,3*x  +  18*1,2*y    = 23,4*x  + 21,6*y

Total costs:

30*x  + 37,5*y + 18*x  + 12*y  + 23,4*x  + 21,6*y

71,4*x  +  71,1*y

z  =  90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize

z  = 18,6*x  +  13,9*y  to maximize

Subject to:

First constraint:

Hours available in carpentry    3000

2*x  +  2,5*y ≤  3000

Second constraint

Hours available in painting  1500

1,5*x  +  1*y  ≤   1500

Third constraint

Hours available in finishing  1500

1,3*x  +  1,2*y  ≤ 1500

Fourth constraint

Minimum quantity of contemporary style  500

x ≥  500

Fifth constraint

Minimum quantity of farmhouse style   650

y  ≥  650

General constraints:

x  ≥  0     y  ≥  0   x , y  integers

Model:

z   =   90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize

Subject to:

2*x  +  2,5*y ≤  3000

1,5*x  +  1*y  ≤   1500

1,3*x  +  1,2*y  ≤ 1500

x ≥  500

y  ≥  650

x  ≥  0     y  ≥  0   x , y  integers

8 0
3 years ago
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