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jeyben [28]
3 years ago
8

A recipe needs 2 tablespoons of vegetable oil for every 34 cup of flour. If you plan to use 3 cups of flour, how much vegetable

oil will you need
Mathematics
1 answer:
Olenka [21]3 years ago
4 0
If 34 cups=2 tablespoons of oil
3 cups=3/34 *2
Then u solve from there. I hope this helps.
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F(x) = -3x+17 and g(x) = x^2 -6 find g(5)-f(5)
aniked [119]

Answer:

For the given functions, the value of   g(5)-f(5)  = 17

Step-by-step explanation:

Here, the given functions are:

f(x) =  -3x + 17

g(x) = x ^2 - 6

So, f(5)  = -3(5) + 17

= -15 + 17  = 2

And g(5) = (5)^2  - 6  = 25 - 6  = 19

So, f(5) = 2 and g(5) = 19

⇒g(5) - f(5) =  19 - 2  = 17

Hence, for the given functions, the value of   g(5)-f(5)  = 17

3 0
3 years ago
Find the y-intercept(s),k if any for the equation y=x^2-16
Lyrx [107]
the\ y-intercept:\\\\y=x^2-16\ \ \ and\ \ \ x=0\ \ \ \Rightarrow\ \ \ y=0^2-16=-16
5 0
3 years ago
Read 2 more answers
A fraction becomes 4÷5 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and den
tia_tia [17]

Answer:

\dfrac{7}{9}

Step-by-step explanation:

\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1

\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5

Putting it in matrix form

\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}

From Cramer's rule we have

x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7

y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9

Verifying the results

\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}

\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}

Hence, the fraction is \dfrac{7}{9}.

6 0
3 years ago
Plz answer this question:
d1i1m1o1n [39]

Yes, Lord Vader !

                                               2/3 x + 5   = 1/2

Multiply each side by  2 :       4/3 x + 10  =  1

Multiply each side by  3 :         4  x + 30  =  3  <== equivalent equation
                                                                                without fractions
 
Subtract  30  from each side:  4x             =  -27

Divide each side by  4 :            x              =  -27/4  =  -6.75 

6 0
3 years ago
Find the value of x 5x-2(x+5)
vesna_86 [32]

Answer:

x=9

Step-by-step explanation:

6 0
3 years ago
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