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Natalka [10]
3 years ago
13

I need help with 4 and 5

Mathematics
2 answers:
zmey [24]3 years ago
8 0
4.  where you have any repeated x values this is not a function  
Answer is  b

5. a has rate of change = -3,  so has c,
b has rate of change (7-5)/(-1-(-2) =  2
d has rate of change  (10-6)/(6-2) = 1
madreJ [45]3 years ago
6 0
4. Look at each set of points. If all x-coordinates are different, it is a function. If the same number shows up more than once as an x-coordinate, it is not a function.
Here are the x-coordinates for each choice:
a. 0, 1, 2, 3 All are different. This is a function.
b. 0, 0, 2, 2 There are two zeros and two twos. Not a function.
c. 0, 1, 2, 3 All are different. This is a function.
d. 0, -1, -2, -3 All are different. This is a function.

5. The rate of change is the slope.
a. slope is -3
b. slope = (9 - 7)/(0 - (-1)) = 2
c. 3y + 9x = 10
3y = -9x + 10
y = -3x + 10/3
slope = -3
d. slope = (14 - 10)/(10 - 6) = 4/4 = 1

The greatest slope is 2 in option b.
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B or 4\sqrt[]{3}

Step-by-step explanation:

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3 years ago
What is the equation of the line that is parallel to the line 5x 2y = 12 and passes through the point (−2, 4)? y = – five-halves
Oduvanchick [21]

Answer:

The answer is

y =  -  \frac{5}{2} x - 1

Step-by-step explanation:

If two equations are parallel it means that both their gradients are equal. We were given the equation:

5x +  2y = 12

in order to find the gradient of this equation that we are given we have to ensure that it is in its simplest form:

5x + 2y = 12 \\ 2y = 12 - 5x \\  \frac{2y}{2}  =  \frac{12}{2}  -  \frac{5}{2} x \\ y = 6  -  \frac{5}{2} x \: \\ or \: \\ y =   - \frac{5}{2} x + 6

Therefore the gradient of the parallel line with points (-2, 4) is also -5/2

y = mx + c \\ 4 =  - \frac{ 5}{2} ( - 2) + c \\ 4 =  \frac{10}{2}   + c \\ 4 = 5 + c \\ 4 - 5 = c \\

c =  - 1 \\ hence \: the \: equation \: for \: the \: \\  parallel \: line \: is \\  \: y =  -  \frac{5}{2} x  - 1

8 0
2 years ago
Using radians find the amplitude in period of each function then graph. Question 9
sleet_krkn [62]

we have the function

y=\frac{1}{2}sin4\theta

Remember that

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y=Asin(B(x+c))+D

The amplitude is the factor A

so

In this problem

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using a graphing tool

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2 years ago
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Kipish [7]

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Rate is 10% every fourth year

But the total period is eight.

So the interest would be paid 8/4 = 2 times.

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Simple interest

= {principal * rate * no of times}/100

= {$6000*10*2}/100

Simple interest = $1200

Present value

= principal + Simple interest

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