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julia-pushkina [17]
3 years ago
6

Please help me with # 1

Mathematics
1 answer:
svp [43]3 years ago
3 0
Special Case is No
Domain = (-∞, ∞)
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It's 10 3/5 miles from Alsten to Barton and 12 1/2 miles from Barton to Chester. The distance from Alsten to Durbin,via Barton a
Ymorist [56]
10 3/5=10.6

10.6+12.5=23.1
35.0-23.1=11.9

It is 11.9 miles from Chester to Durbin.
4 0
3 years ago
What is the solution set to the following system?<br> {x+y=3<br> {x^2+y^2=9
sashaice [31]

There are two solutions

The first solution is (x,y) = (3,0)

The second solution is (x,y) = (0,3)

===============================================

Work Shown:

Isolate x in the first equation (subtract y from both sides)

x+y = 3

x = -y+3

Now plug this into the second equation. Isolate y.

x^2 + y^2 = 9

(-y+3)^2 + y^2 = 9 ... replace x with -y+3

y^2 - 6y + 9 + y^2 = 9 ... FOIL rule

2y^2 - 6y + 9 = 9

2y^2 - 6y = 0

2y(y-3) = 0

2y = 0 or y-3 = 0 .... zero product property

y = 0 or y = 3

--------------

If y = 0, then x is

x = -y+3

x = -0+3

x = 3

Therefore, x = 3 and y = 0 pair up to get the ordered pair (x,y) = (3,0) as one solution of this system

--------------

If y = 3, then x is

x = -y+3

x = -3+3

x = 0

Therefore, x = 0 and y = 3 pair up to get the ordered pair (x,y) = (0,3) as the other solution of this system

--------------

If you were to graph the two equations, you should find that the curves cross each other at (0,3) and (3,0). I've marked these two points as A and B respectively. The order of the solutions does not matter.


7 0
3 years ago
The weight of a newborn baby panda weights 2.2 x 10-1 pounds. If an adult panda can weigh up to 1.2103 times more than a newborn
mylen [45]

Answer: 0.4862\ \text{Pounds}

Step-by-step explanation:

Given

Weight of a newborn baby is 2.2\times 10^{-1}\ \text{pounds}

If an adult panda weighs up to 1.2103 times more than a newborn panda

Then weight of an adult is given by

\Rightarrow 2.2\times 10^{-1}+2.2\times 10^{-1}\times 1.2103\\\Rightarrow 2.2\times 10^{-1}+2.6626\times 10^{-1}\\\Rightarrow 0.4862\ \text{Pounds}

4 0
2 years ago
8. 6 - 4x = 6x - 8x + 2<br><br> X=
Zina [86]

Answer:

x =2

Step-by-step explanation:

Solve for x:

6 - 4 x = 2 - 2 x

Add 2 x to both sides:

2 x - 4 x + 6 = (2 x - 2 x) + 2

2 x - 2 x = 0:

2 x - 4 x + 6 = 2

2 x - 4 x = -2 x:

-2 x + 6 = 2

Subtract 6 from both sides:

(6 - 6) - 2 x = 2 - 6

6 - 6 = 0:

-2 x = 2 - 6

2 - 6 = -4:

-2 x = -4

Divide both sides of -2 x = -4 by -2:

(-2 x)/(-2) = (-4)/(-2)

(-2)/(-2) = 1:

x = (-4)/(-2)

The gcd of -4 and -2 is -2, so (-4)/(-2) = (-2×2)/(-2×1) = (-2)/(-2)×2 = 2:

Answer:  x = 2

8 0
3 years ago
A coin is tossed 4 times and the sequence of heads and tails is observed list each of the 16 sequence in the outcome space o
SVETLANKA909090 [29]
HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
TTTT
TTTH
TTHT
TTHH
THHH
THHT
THTH
THTT
7 0
3 years ago
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