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ad-work [718]
3 years ago
5

The function f(x)=5(2)^x was replaced with f(x)+k , resulting in the function graphed below.

Mathematics
2 answers:
ella [17]3 years ago
5 0
In this problem, you have to find the y- intercept of f(x)=5(2)^x. I graphed mine into a graphing calculator. An algebraic way to find it is to input x=0 in the function. The y-intercept is 5.  You can see the y-intercept for the new one is -2. That means we shifted the graph down 7 units. (Vertical Shift down 7)  
k=-7
Arisa [49]3 years ago
4 0
When x = 0 you get the y intercept y = 5
So the new fction goes from 5 to -2 , i.e. 7 units down, so k is -7


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Graph the line with slope 1/4 and y-intercept -8
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Solution: Below! ^^

Detailed explanation:

Hii! I'm sorry, I can't graph the line for you, but I'll try to give you the best possible explanation.

First, note that the question provides us with the info that the y intercept is -8. This is a very valuable piece of information!

This means that the line crosses the y axis (since it's the y intercept) at the point (0,-8). Plot it on the co-ordinate plane.

Next, this question also provides us with the fact that the slope of the line is 1/4. This is yet another valuable piece of information!

What this tells us is: from that point (0,-8), you need to go up 1 unit, then over 4, and so forth, until you obtain a line.

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Paul wants to deposit $600 today for a vacation he plans to take after graduation. Which formula should he use to determine the
Vitek1552 [10]

Answer:

Future value of a single amount

Step-by-step explanation:

Future value of a single amount - it is referred to as the amount of money that received after n year when money is deposit at the rate interest of i from the initial time. we can say that the total amount is the sum of principal money and interest value.

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6 0
3 years ago
A drinking straw has a circumference of 30 mm and a height of 210 mm.
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3 0
3 years ago
For every 3 laps that Jackie swims, Ronnie swims 4 laps. During practice, they swam a combined total of 63 laps. How many laps d
Flura [38]

Answer:

36 laps Ronnie swim during practice .

Step-by-step explanation:

Let us assume that the laps that Ronnie swims be x .

Let us assume that the laps that Jackie swims be y .

As given

For every 3 laps that Jackie swims, Ronnie swims 4 laps.

i.e

3 × laps that Ronnie swims = 4 × laps that Jackie swims

3 × x = 4 × y

3x = 4y

Equation becomes

x + y  = 63

Thus by using 3x = 4y .

y = \frac{3x}{4}

Thus

x +\frac{3x}{4} = 63

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x = 36

Put the value of x in the equation x + y  = 63

36 + y = 63

y = 63 - 36

y = 27

Therefore the 36 laps Ronnie swim during practice .

4 0
3 years ago
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