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sesenic [268]
3 years ago
11

1. Use the table and the graph to answer the questions.

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0
(a) The rate of change for Function 1 is -2.
     The rate of change for Function 2 is -4.
(b) Function 2 has the greater rate of change because -4 is decreasing at a greater rate. 

Hope this helps. 
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Which equation represents the general form of a circle with a center at (-2,-3) and a diameter of 8 units
balandron [24]
Fo a circle with radius, r and center (h,k)
te equation is
(x-h)²+(y-k)²=r²
d/2=r
8/2=4=r
center is (-2,-3)

(x-(-2))²+(y-(-3))²=4²
(x+2)²+(y+3)²=16

4 0
3 years ago
Read 2 more answers
El Generico public high school got a new flagpole. But they completely forgot to buy a cord and NO ONE knows how tall the flagpo
lord [1]
According to the rule of similar polygons the ratio of corresponding sides of two polygons will be the same. So in this case the ratio of original length and shadow of a stick and ratio of length of flagpole and its shadow will be the same.

Length of Stick = 5 feet
Shadow of Stick = 8 feet
Shadow of flagpole = 32 feet
Length of flagpole = x = ? 

Using rule of similar polygon we can write,

\frac{5}{8}= \frac{x}{32} \\ \\ \frac{5}{8}*32=x \\ \\ x=20

Therefore, the length of flagpole will be 20 feet.



7 0
3 years ago
You are given a 16-bit binary integer X= (1110 0100 0111 1010)2 . Convert X to decimal if:
podryga [215]

Step-by-step explanation:

a). The decimal numbers is equal to the sum of binary numbers $(b_n)$  times their powers of   $ 2(2^n) .$

That is,

$ b_n \times 2^n + b_{n-1} 2^{n-1}+ ..... + b_02^0 $

$\therefore (1110 \ \ 0100 \ \ 0111 \ \ 1010)_2 $

=  $ (0 \times 2^0) + (1 \times 2^1) + (0 \times 2^2) + (1 \times 2^3) + (1 \times 2^4) + (1 \times 2^5) + (1 \times 2^6)  + ( 0 \times 2^7) + (0 \times 2^8) + (0 \times 2^9) + (1 \times 2^{10} ) $$  + (0 \times 2^{11}) + (0 \times 2^{12}) + (1 \times 2^{13}) + (1 \times 2^{14})+ (1 \times 2^{15})$

= 58490

b).

The left most bit of the number represents the sign of the number. If bit = 1, the number is negative else if the bit is 0, the number is positive.

All the remaining bits (i.e all the bits except the leftmost bit) represent the magnitude of the number.

  Now, X = 1110 0100 0111 1010

  left most bit = 1 => number is negative

  remaining bits Y = 110 0100 0111 1010

  converting Y to decimal => Y = 25722

c).

Check the leftmost bit(lmb) of the number

if leftmost bit is 0 => convert do the binary to decimal conversion

if leftmost bit is 1, follow the following steps

  1. Flip the bits (convert the 0's into 1's and the vice versa)

  2. convert the new number from binary to decimal.

  3. Add a negative sign / multiply by -1

 Now, X = 1110 0100 0111 1010

left most bit = 1;

flipping the bits => Y = 0001 1011 1000 0101

converting Y into decimal => Y = 7045

multiplying Y with -1 => Y = -7045

Therefore, one's complement of X to decimal is -7045

Thus, X = -25722 in decimal.

d).

Check the leftmost bit(lmb) of the number

  if leftmost bit is 0 => convert do the binary to decimal conversion

  if leftmost bit is 1, follow the following steps

  1. Flip the bits (convert the 0's into 1's and the vice versa)

  2. convert the new number from binary to decimal.

  3. Add 1 to the converted number

  4. Add a negative sign / multiply by -1

Now, X = 1110 0100 0111 1010

left most bit = 1;

flipping the bits => Y = 0001 1011 1000 0101

converting Y into decimal => Y = 7045

Adding 1 to Y => Y = 7046

multiplying Y with -1 => Y = -7046

Thus, two's complement of X to decimal is -7046

7 0
3 years ago
George and Paul use a metal alloy that is 18.1% copper to make jewelry. How many ounces of an alloy that is 14% copper must be m
ella [17]

Answer:

Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.

Step-by-step explanation:

Each ounce of the 14% copper contains 0.14 ounce of pure copper.

Each ounce of the 23% copper contains 0.23 ounce of pure copper.

Each ounce of the 18.1% copper contains 0.181 ounce of pure copper.

Use x ounces of the 14% and y ounces of the 23% to make 90 ounces of 18.1% alloy.

x+y  = 90

y = 90-x

0.14x + 0.23y = 0.181·90

0.14x + 0.23(90-x) = 16.29

0.14x + 20.7 - 0.23x = 16.29

-0.09x + 20.7 = 16.29

4.41 = 0.09x

x = 49

y = 90-x = 41

Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.

7 0
3 years ago
Solve using synthetic division.<br><br> (x2 + 3) ÷ (x − 1)
murzikaleks [220]

Answer:

2x+3 / x = 1

Step-by-step explanation:

3 0
3 years ago
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