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Elodia [21]
2 years ago
8

A recipe says it produces the best sweet tea. In addition to using tea bags, the recipe calls for 1/2 cup of sugar for every 1 a

nd 1/2 cup of water. a. Write an equation that shows the relationship between the number of cups of sugar to the number of cups of water in this recipe. Let s represent the number of cups of sugar, and let w represent the number of cups of water.
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
4 0

Answer:

y=3x

Step-by-step explanation:

In this case, the ratio between sugar and water is 0.5 : 1.5 or 1 : 3.

That means that you need three cups of water for every cup of sugar.

In order to put this into an equation, the slope would be 3/1 or simply 3, and the y-intercept is 0. Even if you used the 0.5 : 1.5 ratio, the slope would be the same since 1.5 / 0.5 = 3.

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Suppose f(x) = x³ . find the graph of f(x+5)
Ganezh [65]
\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)=  A(  Bx+  C)+  D
\\\\
~~~~y=  A(  Bx+  C)+  D
\\\\
f(x)=  A\sqrt{  Bx+  C}+  D
\\\\
f(x)=  A(\mathbb{R})^{  Bx+  C}+  D
\\\\
f(x)=  A sin\left( B x+  C  \right)+  D
\\\\
--------------------

\bf \bullet \textit{ stretches or shrinks horizontally by  }   A\cdot   B\\\\
\bullet \textit{ flips it upside-down if }  A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }  B\textit{ is negative}

\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{  C}{  B}\\
~~~~~~if\ \frac{  C}{  B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{  C}{  B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }  D\\
~~~~~~if\   D\textit{ is negative, downwards}\\\\
~~~~~~if\   D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{  B}

and with that template in mind,

notice from a parent function of   f(x) = x³,
a derived function with f(x+5) = (x + 5)³

has a C component of 5, C = 5, which means is the as the parent, just shifted to the left by 5 units.
5 0
3 years ago
Read 2 more answers
Can someone Please help me?
aalyn [17]
Answer: The constant of proportionality is 3.5, so your answer would be B.
7 0
2 years ago
Original cost at $9.99 at discount at 15% with a sales tax 5%
enyata [817]
Hope this helps but I think the answer is $8.91.

4 0
3 years ago
Read 2 more answers
Which relation is a direct variation that contains the ordered pair (2, 7)?
Tasya [4]
Lets write equation of a function:

y = kx + n

Direct variation in simple is equation of a line which has n=0 or in other words which y to x ratio is k.

First option gets 7=7 but it isnt direct variation because n is not equal to 0

third option is indeed correct. once we implement coordinates (2,7) we get 7=7

Answer is 
y = 7/2x
8 0
3 years ago
HURRY PLEASE!! I WILL GIVE BRAINLIEST
user100 [1]

Answer:

1/64

Step-by-step explanation:

1/64=(1/8)^2

1/64=(1/4)^3

6 0
3 years ago
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