Answer:
y = 23x + 10
y = 28x + 0
Step-by-step explanation:
Given that:
Miguel :
Velocity = 23 km/hr
Starting position = 10 miles
Gabby:
Velocity = 28 km/hr
Starting position = 0 miles
The general form of a linear equation :
y = mx + c
In the scenario above ; the starting points corresponds to the intercept, c
The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x
Hence ;
Miguel:
y = 23x + 10
Gabby:
y = 28x + 0
So, since there are two equations, we can substitute one of them into the other. In this case, it would be easiest to substitute 2b=6a-14 into the other equations. But first, simplify by dividing both sides by 2. You bet b=3a-1
We can now plug this into the other equation
Sine the equation b=3a-1 results in the value of b, we have to plug in for the value of b in the other equation
So this is what we get after plugging in:
3a-(3a-1)=7
Now, simplify. 3a-3a+1=7
Since 3a-3a = 0, this equation results in a no solution
Answer:
The result is a no-solution, or Ф
Hope this helped!! :D
Answer: 20.57142857
Step-by-step explanation:
148 = 3x + 3 + 4x + 1
Step one: combine like terms
148 = 7x + 4
Step 2: Subtract the 4 over to 148
144 = 7x
Step 3: Divide 7 on both sides
20.57142857 = x
Answer:
5
Step-by-step explanation:
first term + (10-1)7=68
first term= 68- 63=5
The answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3 after simplification will be
4 
Step-by-step explanation:
To simplify
.
Using exponential law the exponents of variables will be added when multiplied as per rule
we get
![\frac{4[(2^4)(x^{3\times 4}) ( y^{4\times4} )] }{2[(2^3)(x^{2\times3} ) (y^{6\times3} )]}\\](https://tex.z-dn.net/?f=%5Cfrac%7B4%5B%282%5E4%29%28x%5E%7B3%5Ctimes%204%7D%29%20%28%20y%5E%7B4%5Ctimes4%7D%20%29%5D%20%7D%7B2%5B%282%5E3%29%28x%5E%7B2%5Ctimes3%7D%20%29%20%28y%5E%7B6%5Ctimes3%7D%20%29%5D%7D%5C%5C)
![\frac{4[(16)(x^{12}) ( y^{16} )] }{2[(8)(x^{6} ) (y^{18} )]}\\\\\frac{64x^{12}y^{16} }{16 x^{6}y^{18} }](https://tex.z-dn.net/?f=%5Cfrac%7B4%5B%2816%29%28x%5E%7B12%7D%29%20%28%20y%5E%7B16%7D%20%29%5D%20%7D%7B2%5B%288%29%28x%5E%7B6%7D%20%29%20%28y%5E%7B18%7D%20%29%5D%7D%5C%5C%5C%5C%5Cfrac%7B64x%5E%7B12%7Dy%5E%7B16%7D%20%20%7D%7B16%20x%5E%7B6%7Dy%5E%7B18%7D%20%20%7D)
Now by dividing according to exponential rule the exponents of variables will be subtracted as per rule
So the answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3 after simplification will be
4
Keywords: Algebra
Learn more about algebra at:
#learnwithBrainly
