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oksano4ka [1.4K]
3 years ago
12

Solve for x 1/2(x-3)=1/3(1-x)

Mathematics
1 answer:
Goshia [24]3 years ago
7 0

Answer:

x=2.5906672908862554,−0.2573339575529219

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Isaac wants the equation below to have no solution when the missing number is placed in the box.
MatroZZZ [7]

Answer: 4

Step-by-step explanation: To have an equation with no solution you have to get something like 0=1 meaning you have to remove all the variables. In this equation you would distribute to get xy+2y+2x=2x+12+4x where y is the missing number. then combining like terms you get xy+2x+2y=6x+12. Subtracting 2x from both sides you get xy+2y=4x+12. Now to get the variables gone y has to be 4 so that the variables to cancel out. By plugging in 4 you can see this works; 4x+8=4x+12 and by subtracting 4x from both sides you get 8=12 which is not true meaning there is no solution.

8 0
3 years ago
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Graph f(x) = x2 + 2x - 3, label the function’s x-intercepts, y-intercept and vertex with their coordinates. Also draw in and lab
Semenov [28]
<h2>Answer with explanation:</h2>

The given function : f(x)=x^2+2x-3

Using completing the squares, we have

f(x)=x^2+2x+1-1-3        [∵ (x+1)^2=x^2+2x+1]

f(x)=(x+1)^2-4      (1)

Comparing (1) to the standard vertex form f(x)=(x-h)^2+k , the vertex of function is at (h,k)=(-1,-4)

For x-intercept, put f(x)=0 in (1), we get

0=(x+1)^2-4\\\\\Rightarrow\ (x+1)^2=4    

Square root on both sides, we get

x+1=\pm2\\\\x+1=-2\ or\ \ x+1=2\\\\=x=-3\ \ or\ x=1

∴ x intercepts : x= (-3,0) and (1,0)

For y-intercept put x=0 in (1), we get

f(1)=(1)^2-4=1-4=-3  

∴ y intercept : (0,-3)

Axis of symmetry : \dfrac{-b}{2a}

In f(x)=x^2+2x-3 , a=1 and b=2

Axis of symmetry=\dfrac{-2}{2(1)}=-1

5 0
4 years ago
PLEASE HURRY!!!
Lunna [17]
25 is the answer of this problem
5 0
3 years ago
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4. (Claim 1 Example)
Citrus2011 [14]

Answer:

D

Step-by-step explanation:

using Sohcahtoa we know that we can only use Soh (since we have the opposite,16 and the hypotenuse, 20)

D is the only one that uses the correct equation of S = o/h

(this explanation isn't the best so please search up Sohcahtoa if it doesn't make sense)

6 0
3 years ago
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Plisss help me on my assesment
rosijanka [135]

Answer:

coefficient variables

15. xy

3. x

4. a

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