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Irina18 [472]
2 years ago
15

A muffin recipe calls for 4 cups of sugar and yelled 36 muffins is Amelia only wants to make 2for muffins how much sugar will sh

e need?
Mathematics
1 answer:
pashok25 [27]2 years ago
6 0
2 2/3 cups of sugar if she wants to make 24 muffins
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The y coordinate of the vertex of f (x)=-x^2+8x+7 is f(4)
azamat

Hello there.

To answer this question, we need to remember some properties about the vertex of quadratic functions.

Let f(x)=ax^2+bx+c,~a\neq0. Its vertex can be found on the coordinates (x_v,~y_v) such that x_v=-\dfrac{b}{2a} and y_v=-\dfrac{b^2}{4a}+c, in which y_v=f(x_v).

Using the coefficients given by the question, we get that:

x_v=-\dfrac{8}{2\cdot(-1)}\\\\\\ x_v=-\dfrac{8}{-2}\\\\\\ x_v=4

Thus, we have:

y=f(x_v)=f(4)

So the statement is true, because the x coordinate of the vertex of the function is equal to 4.~~\checkmark

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2 years ago
Which expressions are equivalent to the one below? Check all that apply.<br><br>log 2 - log 6
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Answer:

Given the expression: log 2 -log 6

Use the logarithmic rule :

\log(\frac{m}{n}) = \log m - \log n

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Use the above rule to solve the expression:

\log 2 -\log 6 = \log \frac{2}{6} = \log \frac{1}{3}   [∴\log(\frac{m}{n}) = \log m - \log n ]

or

\log 2 -\log 6 =\log 2+ \log 6^{-1} = \log 2 + \log \frac{1}{6}     [∴\log x^n = n\log x ]

or

value of : log 2 -log 6 = 0.30102999566 - 0.77815125038 = -0.47712125472



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