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2 years ago

What is the value of g(−3) when g(x)=2x−2 ?

1 answer:

4 0

To solve a function like this, simply put the numerical value in place of the unknown variable for which you have to find the solution, for instance '-3' in this case.

g(x) = 2x-2

so to find g(-3), we just need to replace the x in the given expression by '-3'. Working is shown below:

g(x) = 2x-2

putting '-3' in place of x

g(-3) = 2(-3) - 2

g(-3) = -6 -2

g(-3) = -8

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From a practice assignment:<br>solve the following differential equation given initial conditions

hodyreva [135]

If $y' = e^y \sin(x)$ and $y(-\pi)=0$ , separate variables in the differential equation to get

$e^{-y} \, dy = \sin(x) \, dx$

Integrate both sides:

$\displaystyle \int e^{-y} \, dy = \int \sin(x) \, dx \implies -e^{-y} = -\cos(x) + C$

Use the initial condition to solve for $C$ :

$-e^{-0} = -\cos(-\pi) + C \implies -1 = 1 + C \implies C = -2$

Then the particular solution to the initial value problem is

$-e^{-y} = -\cos(x) - 2 \implies e^{-y} = \cos(x) + 2$

(A)

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1 year ago

Find the x,length and width.

Paraphin [41]

Answer:

3 qnd 8 is the answer

Step-by-step explanation:

7 0

2 years ago

Using the graph, predict how many people will be needed to eat 300 pounds of meal?

kkurt [141]

Answer:

100 people

Step-by-step explanation:

if u notice the points are (2,6) and (6,18). 6÷2=3 and 18÷6=3, so if you catch this pattern than you can do 300÷3=100

8 0

2 years ago

PLZ HELP!!! 10 POINTS!!!Which relationship describes angles 1 and 2?

kkurt [141]

Answer:

The answer is C: Vertical angles I'm pretty sure

Step-by-step explanation:

7 0

2 years ago

Gallup conducted a survey from April 1 to 25, 2010, to determine the congressional vote preference of the American voters.15 The

Lisa [10]

Answer:

p ( x > 2746 ) = p ( z > - 1.4552 )

= 1 - 0.072806

= 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

Step-by-step explanation:

Given data:

51% of male voters preferred a Republican candidate

sample size = 5490

To win the vote one needs ≈ 2746 votes

In order to advice Gallup appropriately lets consider this as a binomial distribution

n = 5490

p = 0.51

q = 1 - 0.51 = 0.49

Hence $n_{p}$ > 5 while $n_{q}$ < 5

we will consider it as a normal distribution

From the question :

number of male voters who prefer republican candidate ( mean ) ( u )

= 0.51 * 5490 = 2799.9

std = $\sqrt{npq}$ = $\sqrt{5490 * 0.51 *0.49}$ = 37.0399 ---- ( 1 )

determine the Z-score = (x - u ) / std ---- ( 2 )

x = 2746 , u = 2799.9 , std = 37.0399

hence Z - score = - 1.4552

hence

p ( x > 2746 ) = p ( z > - 1.4552 )

= 1 - 0.072806

= 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

7 0

1 year ago