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AVprozaik [17]
3 years ago
15

Consider the functions:

Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0

Answer:

a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x)

Step-by-step explanation:

To know the relation between the minima of the functions you calculate the minima by using the derivative:

f'(x)=2x\\\\g'(x)=2(x+1)\\\\h'(x)=2(x+3)

to find the values of x you equal the derivative of the function to zero:

f'(x)=0;\ x=0;\\\\g'(x)=0; \ x=-1;\\\\h'(x)=0;\ x=-3;

by evaluating this values of x you obtain the coordinates of the minima:

f(0)=0\\\\g(-1)=-2\\\\h(-3)=4

hence, the coordinates will be:

f -> (0,0)

g -> (-1,-2)

h -> (-3,4)

hence, the relation is:

a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x).

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The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) (a) Explain what makes this set of da
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Answer:

(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}

(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values ​​of the input - more than one output.

for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.

The frelation y ^ 2 = x is not a function because:

When x = 1, y = +1 and y = -1.

(c) The set of data provided can be represented by the equation of a line of the form y = mx + b

The slope is:

m=\frac{y_2-y_1}{x_2-x_1}

m =\frac{7-5}{4-3}

m = 2

b = y_1-mx_1

b = 5 - 2*3

b = -1

Then, the function is:

y = 2x-1

You can substitute any of the points shown in the equation and check that equality is satisfied, for example:

(11 , 21)

y = 2 (11) -1

y = 22-1

y = 21. The equation is satisfied. The same goes for the rest of the values.

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Anna drove 476 miles in 7 hours. On average, how fast did she drive in miles per hour? Express your answer in simplest form.
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Answer:

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Step-by-step explanation:

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3 years ago
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If anyone could help me answer please do!
Anvisha [2.4K]
Slope :2 y- intercept -2 

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How do I solve 5 + 6y = 9y + 2 + 3(1 - y)
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What does an increase in taxes and decrease in the money supply do to the supply and demand curves?
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Answer:

The supply and demand curves will shift to the left i.e. there will be a decrease in demand and supply.

Step-by-step explanation:

First: Tax is a compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

Secondly: Money supply is the total amount of monetary assets available in an economy at a specific time.

When tax is increased, this means individuals and businesses have to contribute more to the state revenue leaving both categories with lesser income or profit i.e. lesser to spend.

In the same way, when money supply decreases, there is lesser money available to both individuals and businesses

What this implies is that demand will decrease because income has decreased. Supply will also decrease because producers will not make as much profit given the increase in tax (tax is considered cost of production).

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