Justify each step in solving the equation by writing a reason for each statement.
Answers
Step-by-step explanation:
We are provided with an equation and are required to give reasons on how we got the final answer.
(1.) The equation is -3(2x-3) = 25-8x is given.
(2.) In this step, we have simplified the left hand side of the equation by opening the bracket i.e. -6x+9 = 25-8x
(3.) Here, the terms containing 'x' are brought to the left hand side of the equation and simplified i.e. 2x+9 = 25
(4.) Now, the constant terms of the equation are brought to the right side of the equation and simplified i.e. 2x = 16.
(5.) Lastly, the whole equation is divided by 2 in order to get the value of 'x' i.e. x = 8.
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Equation B: c = 3d + 5
Which of the following is a step that can be used to find the solution to the set of equations?
2d + 1 = 3d + 5
2d = 3d + 5
2d + 1 = 3d
2d + 5 = 3d + 1
Answers
Answer:
The correct option is 1.
Step-by-step explanation:
The given set of equations is
Equation A: c = 2d + 1
Equation B: c = 3d + 5
Using equation A and equation B, equate the value of c.
The value of d is -4. So the value of c is
The equation 2d+1=3d+5 is used to find the solution to the set of equations, therefore the correct option is 1.
If both equations equal c, then both equations can be equal to each other.
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it would cost 6.4
sorry I do not know how to put up that money sign
Multiply diagonally:
Divide by 100 on both sides:
Therefore, 80cm of kitchen flooring would cost £6.40.
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73.4581
+ 2.0033
--------------------
75.4614
Rounding to the nearest thousandth
75.461
we rounded down because the ten thousandths place is a 4 so thousandths place stays as is. If it were 5 or more it would have rounded up to a 2.
Answers
g(x) = (x^2 +2)(x-8)
g(x)=x^2 + 2(x-8)
g(x) x^2 +2x - 8
I will work with the last one, so my system of equation is:
f(x) = - x +2.5
g(x) = x^2 + 2x - 8
f(x) = g(x) ⇒ - x + 2.5 = x^2 + 2x - 8
x^2 + 3x - 8 - x - 2.5 = 0
x^2 + 3x - 10.5 = 0
Use the quadratic formula to solve for x:
x = [ - 3 +/- √(3^2) - 4(1)(-10.5) ]/2
x = - 5.07 and x = 2.07
The solution of the equation f(x) = g(x) are x = 3.055 or x = -6.055 if the f(x) = -x + 2.5 and g(x) = x² +2(x - 8)
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = -x + 2.5
g(x) = x² +2(x - 8)
f(x) = g(x)
-x + 2.5 = x² +2(x - 8)
After simplification:
x² + 3x - 18.5 = 0
After solving, we get:
x = 3.055 or x = -6.055
Thus, the solution of the equation f(x) = g(x) are x = 3.055 or x = -6.055 if the f(x) = -x + 2.5 and g(x) = x² +2(x - 8)
Learn more about the function here:
#SPJ5
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B : 90 g
C : 90 kg
Answers
Answer:
90 Kg
Step-by-step explanation:
because the b and a are to small to be the estimate mass of a refrigerator.