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densk [106]
3 years ago
9

Write an exponential equation in the form y = abx whose graph passes through points (−3, 24) and (−2, 12). y = 3x y = 3(0.5)x y

= 0.5(3)x y = −3(24)x
Mathematics
1 answer:
Bingel [31]3 years ago
8 0

Answer:

Option B.

Step-by-step explanation:

The given exponential equation is

y=ab^x  ...(1)

It is given that the graph of above equation passes through points (−3, 24) and (−2, 12).

The graph passes through the point (-3,24), so substitute  x=-3 and y=24 in equation (1).

24=ab^{-3}   ...(2)

The graph passes through the point (-2,12), so substitute  x=-2 and y=12 in equation (1).

12=ab^{-2}   ...(3)

Divide equation (3) by equation (2).

\dfrac{12}{24}=\dfrac{ab^{-2}}{ab^{-3}}

0.5=b

Substitute b=0.5 in equation (2).

24=a(0.5)^{-3}

24=\dfrac{a}{(0.5)^{3}}

24=\dfrac{a}{0.125}

24\times 0.125=a

3=a

Substitute a=3 and b=0.5 in equation (1).

y=3(0.5)^x

Therefore, the correct option is B.

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algol [13]

Step-by-step explanation:

Divide 140 by 2\frac{4}{5} to represent the amount of hours he worked.

To make dividing easier, 2\frac{4}{5} can also represent 2.8 as a decimal.

\frac{140}{2.8} =50

He has worked 50 hours after completing 140 rows of grapes.

4 0
2 years ago
A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o
ladessa [460]
X = amount of the 18% solution

y = amount of the 40% solution

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likewise, how many liters are there in the 40% solution?  well, (40/100) * y, or 0.4y, that many.

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\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}

\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}

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3 0
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ICE Princess25 [194]

Answer:

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y = 2

y = 3

y = 6

3 0
3 years ago
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vfiekz [6]

Answer:

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Step-by-step explanation:

simple

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7 0
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Answer:

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