Solve the equation: 14w=91 Please and thank you!!
2 answers:
Let's talk about basic distribution on equations.
You equation is 14w = 91. You need to find w
What it is essentially saying is, "What times 14 equals to 91?" The main way to find what w is is to first look at the equation:
14w is basically saying 14 times w. What you need to do is to isolate "w" by itself in one side. To keep it simple, we will keep the w in the left side.
Essentially, the next step is to divide 14 on EACH side. This is essential to do it on each side to make the equation still equal and be valid
What it would look like is this:
. The 14 cancels out to be 1, therefore w is resulted to be by itself. The other side is 
. This simplifies to 
.
The final result will be: w = or 6.5 as a decimal
You equation is 14w = 91. You need to find w
What it is essentially saying is, "What times 14 equals to 91?" The main way to find what w is is to first look at the equation:
14w is basically saying 14 times w. What you need to do is to isolate "w" by itself in one side. To keep it simple, we will keep the w in the left side.
Essentially, the next step is to divide 14 on EACH side. This is essential to do it on each side to make the equation still equal and be valid
What it would look like is this:
The final result will be: w =
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The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
- (h , k) are the coordinates of the vertex point
- a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept
- k is the value of y when x = h
∵ y = x² + 16x - 7
∵ y = ax² + bx + c
∴ a = 1 , b = 16 , c = -7
∵
∴
∴ h = -8
To find k substitute y by k and x by -8 in the equation above
∵ k is the value of y when x = h
∵ h = -8
∴ k = (-8)² + 16(-8) - 7 = -71
∵ The vertex form of the quadratic equation is y = a(x - h)² + k
∵ a = 1 , h = -8 , k = -71
∴ y = (1)(x - (-8))² + (-71)
∴ y = (x + 8)² - 71
∵ (h , k) are the coordinates of the vertex point
∵ h = -8 and k = -71
∴ The vertex is (-8 , -71)
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
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You can learn more about quadratic equation in brainly.com/question/9390381
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