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lilavasa [31]
3 years ago
5

Write the equation of the line that has a slope -2 of and contains the point (1,2)

Mathematics
1 answer:
Valentin [98]3 years ago
8 0

Answer:

Step-by-step explanation:

y=mx+C

M= slope

2= -2(1)+ C

2 = -2+C

C = 2+2

C = 4

<h3>Equation: y = -2x + 4</h3>

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Order these numbers from least to greatest.<br> 5.7082, 5.09, 5.009, 5.7
matrenka [14]

Answer:

5.7082,5.009,5.09,5.7

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Write the equation Of a function who parent function, f(x)=x+8 is shifted 2 units to the right
Juli2301 [7.4K]

Answer:

g(x)=x+6

Step-by-step explanation:

we have

f(x)=x+8

If f(x) is shifted 2 units to the right

then  

The rule of the translation is

g(x)=f(x-2)

so

g(x)=(x-2)+8

g(x)=x+6

5 0
3 years ago
Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g.
Elden [556K]

Answer:

The answer is "cirtical\  points \ (x,g(x))\equiv  (e,0),(e+3,\frac{27}{e^3})"

Step-by-step explanation:

Given:

g(x) = (x-e)^3e^{-(x-e)}

Find critical points:

g(x) = (x-e)^3e^{(e-x)}

differentiate the value with respect of x:

\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r}  \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3]

critical points g'(x)=0

\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3

So,

The critical points of (x,g(x))\equiv  (e,0),(e+3,\frac{27}{e^3})

7 0
3 years ago
We are interested in finding out the proportion of adults in the United State who cannot cover a $400 unexpected expense without
serious [3.7K]

Answer:

Step-by-step explanation:

given that we are interested in finding out the proportion of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.

Sample size = 765

Favour = 322

a) The population is the adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt

b) The parameter being estimated is the population proportion P of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.

c) point estimate for proportion = sample proporiton = \frac{322}{765} \\=0.4209

d) We can use test statistic here as for proportions we have population std deviation known.

d) Std error = 0.01785(\sqrt{\frac{pq}{n} }

Test statistic Z = p difference / std error

f) when estimated p is 0.50 we get Z = -4.43

g) Is true population value was 40% then

Z = 1.17 (because proportion difference changes here)

7 0
3 years ago
The weight of a rock sample is measured to be 2.5 pounds. What is the percent of error in the measurement? 2% 5% 10%
elixir [45]

Answer:

The percent of error in the measurement is 2%

Step-by-step explanation:

The percent of error associated with a reported measurement is calculate using the formula;

percenterror=\frac{error}{measurement}*100

The error associated with a measurement is defined as half of the smallest unit of measurement used. The measurement reported was 2.5. The smallest unit of measurement for this reading is 0.1. The error is thus;

error = 0.1/2 = 0.05

The percent of error is thus;

\frac{0.05}{2.5}*100=2

 

6 0
3 years ago
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