All categories

3 years ago

The graph below could be the graph of which exponential function

Mathematics

2 answers:

Maksim231197 [3]3 years ago

6 0

Answer is C.

F(x) = 3 * (1.7)^x

Bess [88]3 years ago

5 0

Answer:

The correct option is C.

Step-by-step explanation:

∵ The given graph is of increasing nature.

∴The base of the exponential will be greater than 1.

∴ option A is incorrect.

Also, at x=0 the value of y=3, but in option B at x=0 ⇒y= 3^0 =1

∴ option B is also incorrect.

At x=0, y=3 for option 3 which satisfies the graph.

∴ the option C is correct.

option D is incorrect because the base of an exponential can never be negative.

You might be interested in

An ordered pair that has a positive x-coordinate and a positive y-coordinate (+ , + ) would be plotted in which quadrant? (Remem

solmaris [256]

The ordered pair would be plotted in Quadrant I

4 0

3 years ago

Andre bought a new bag of cat food. The next day, he opened it to his cat. The graph shows how many ounces was left in the bag o

Viktor [21]

Answer:

There were 16 ounces of Cat Food after 24 days.

Step-by-step explanation:

From the graph attached,

For an ordered pair (x, y) lying on the graph,

x-coordinate represents the number of days since bag was bought and y- coordinate represents the ounces of cat food required.

Now the value x = 24 on x-axis shows the number of days since the bag was bought.

For x = 24, ounces of cat food in the bag ( y ) = 16 ounce

Therefore, 16 ounces of Cat Food were in the bag after 24 days since it was bought.

7 0

3 years ago

They will rest after they hike `2` miles. Then they will hike the remaining `1.75` miles to the lookout. The trail the hikers wi

Lyrx [107]

Answer:

1.75 gallons

Step-by-step explanation:

First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...

2 + 1.75 = 3.75 miles

The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...

3.75 - 0.5 = 3.25 miles

Leaving us with a total hiking distance of

3.75 + 3.25 = 7 miles.

Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.

7 * 0.25 = 1.75 gallons

Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.

8 0

2 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

3 years ago

Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).

Alex

We are given with two functions: f(x) = x + 8 and g(x) = x2 - 6x - 7. In this problem, the value of f(g(2)) is asked. We first substitute g(x) to f(x) resulting to f(x2 - 6x - 7) = x2 - 6x - 7 + 8 = x2 - 6x + 1. If x is equal to 2, then <span>f(g(2)) = 2^</span>2 - 6*2 + 1 equal to -7.

6 0

3 years ago