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Bess [88]
3 years ago
5

2. What is the correct expanded form for the number 75.92?

Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

Answer

Option 3

Step-by-step explanation:

70 + 5 = 75

0.9 + 0.02 = 0.92

75 + 0.92 = 75.92

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Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.
dsp73

Answer:

The required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, a_2=10,a_3=5,a_4=2.5,a_5=1.25

r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}

The common ratio of GP is 1/2.

r=\frac{a_2}{a_1}

\frac{1}{2}=\frac{10}{a_1}

a_1=20

The first term of the sequence is 20.

The formula for sequence is

a_n=a(r)^{n-1}

Where a is first term and r is common difference.

The required sequence is

a_n=20(\frac{1}{2})^{n-1}

The formula for rate of change is

m=\frac{f(x_2)-f(x_1)}{x_2-x_1}

The average rate of change from n = 1 to n = 3 is

m=\frac{f(3)-f(1)}{3-1}

m=\frac{5-20}{3-1}

m=\frac{-15}{2}=-7.5

Therefore the required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

8 0
3 years ago
Read 2 more answers
If y = kx, what is the value of k if y = 20 and x = 0.4? A) 5 B) 8 C) 9.6 D) 50
Margaret [11]
Answer: D, 50
y = kx          <span>y = 20 and x = 0.4
</span>
What you will do: You will plug in your y and your x.
Your equation should look like: 20=k(0.4)
Next: What you will do is divide each side of your equal sign by 0.4 so you will get your k alone.
You would get: k=50

HOPE THIS HELPS! ^_^
  
7 0
3 years ago
What is the range for a x intercept of (5,0) and a y intercept of (0,3)
Nastasia [14]

Answer:

(5,0)=x1,y1

(0,3)=x2,y2

so the range will be x1-x2/

3 0
3 years ago
Write 2x+y=17 in slope-intercept form
Harlamova29_29 [7]

Answer:

y=-2x+17

Step-by-step explanation:

6 0
2 years ago
<img src="https://tex.z-dn.net/?f=y%3Dmx%2Bb%20for%20b" id="TexFormula1" title="y=mx+b for b" alt="y=mx+b for b" align="absmiddl
Gemiola [76]
Minus mx from both sides
y-mx=b
b=y-mx
7 0
3 years ago
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