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zysi [14]
3 years ago
8

The graph of an exponential function is given. Which of the following is the correct equation of the function?

Mathematics
1 answer:
Effectus [21]3 years ago
7 0
The answer is choice D

-----------------------------------------

Explanation:

We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.

The answer is either choice A or choice D

If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625

The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer. 

Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork. 

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3 years ago
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A woman saw oranges and mangos ad the market. She bought some oranges at 35 cents each and some mangoes at $1.00. if she bought
marysya [2.9K]

Answer: 20 oranges and 5 mangoes

Step-by-step explanation:

Define the following:

x = number of oranges

y = number of mangoes

Make the following system of equations:

x + y = 25

0.35x + 1.00y = 12.00

Solve for x:

y = 25 - x

⇒ 0.35x + 1.00(25 - x) = 12.00

⇒ 0.35x + 25 - x = 12.00

⇒ -0.65x = -13.00

⇒ x = 20

Solve for y:

20 + y = 25

y = 5

∴ 20 oranges and 5 mangoes were purchased.

8 0
2 years ago
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded regio
icang [17]

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = \frac{1}{2}\pi r^{2}

                                     = \frac{1}{2}\pi (OP)^{2}

                                     = \frac{1}{2}\pi (4)^{2}

                                     = 25.12 cm²

Area of the shaded region = 32 - 25.12

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3 0
3 years ago
Math<br><br><br> is my answer correct??
matrenka [14]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Here's the solution ~

The given points are : (-7 , -4) and (1 , 1)

now, let's use distance formula to find the distance between them !

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:\sqrt{(x_2 - x_1)² +( y_2 - y_1)² }

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{( - 7 - 1) {}^{2}  + ( - 4  - 1) {}^{2} }

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{( - 8)² +(  - 5)² }

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{64 + 25}

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{89}

3 0
2 years ago
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Answer:

Equal to 7

Step-by-step explanation:

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5 0
3 years ago
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