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geniusboy [140]
3 years ago
13

ALGEBRA II // MODULE 1

Mathematics
1 answer:
natita [175]3 years ago
3 0

Answer:

1. x = 3

2.x = 6

3. x = 5

I hope this helps you :D

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For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b
dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by H = 1,500e^{0.053t} where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute H=4,000 in our given formula and solve for t as:

4,000= 1,500e^{0.053t}

\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}

\frac{8}{3}=e^{0.053t}

e^{0.053t}=\frac{8}{3}

Take natural log of both sides:

\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})

0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})

0.053t\cdot (1)=0.9808292530117262

\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}

t=18.506212320

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

2000+18.5=2018.5

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

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4 years ago
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Answer:

Step-by-step explanation:

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8 0
3 years ago
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Four times a number w minus 3.5 is less than or equal to -1.5​
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6 0
3 years ago
Begin by graphing the standard absolute value function f(x)=|x|. Then use transromations of this graph to describe the graph the
Len [333]
The +2 would cause a shift of up two on the y-axis. the 2 infront of the x, would cause the graph to narrow. using the point 0 f(x) would be 2 or (0,0) and on g(x) it would be (0,2) using x=3, you would have (3,3) and (3,8)
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3 years ago
Evaluate 6x+24 for x=8
crimeas [40]

Answer:

72

Explanation:

x = 8

6x + 24

Insert 8 for x

6 · 8 + 24

Multiply

6 · 8 = 48

Add

48 + 24 = 72

Therefore 6x + 24 = 72

7 0
3 years ago
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