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3 years ago

Analyze the graph below to identify the key features of the logarithmic function.

Mathematics

1 answer:

BabaBlast [244]3 years ago

6 0

Answer:

The x‐intercept is x = 4, and the graph approaches a vertical asymptote at x = 3

Step-by-step explanation:

The x-intercept is the point where the graphic crosses the X axis. In this case, the graph crosses the X axis when x=4.

The vertical asymptote is the value of x and it represents the point where the function stops to exist, so this asymptote can never be touched by the graph, or the function is cancelled. In this case, this vertical asymptote is graphed in Y=3.

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Two numbers are in the ratio 7:5 and their difference is 22.Find the numbers

omeli [17]

Answer:

Let x and y be the two numbers. Then

yx=57 and x−y=20

Cross multiplying the proportion

5x=7y or y=75x

So, x−y=20

x−75x=20⇒77x−5x=72x=20

⇒x=2140=70

y=75x=75×70=50

So smaller number is 50.

Check :yx=5070=57 and 70−50=20

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Sheena baked 112 cookies she kept 16 cookies at home for her family and shared the rest evenly with her 8 friends how many cooki

sesenic [268]

Answer:

Each friend would get 12 cookies.

Step-by-step explanation:

Given:

Number of cookies she baked = 112 cookies

Number of cookies kept aside for family = 16

Number of friends she need to distribute cookies evenly = 8

We need to find number of cookies each friend would get;

Solution:

We will first find the number of cookies which needs to be distributed.

So we can say that;

number of cookies which needs to be distributed can be calculated by subtracting Number of cookies kept aside for family from Number of cookies she baked.

framing in equation form we get;

number of cookies which needs to be distributed = $112-16=96$

Now we will find number of cookies each friend would get.

number of cookies each friend would get can be calculated by dividing number of cookies which needs to be distributed from Number of friends she need to distribute cookies evenly.

framing in equation form we get;

number of cookies each friend = $\frac{96}{8}=12$