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3 years ago

Find the equation of the line specified. The slope is 6, and it passes through ( -4, 4).

Mathematics

1 answer:

goldenfox [79]3 years ago

8 0

Answer:

Step-by-step explanation:

hello :

Use the point-slope formula.

y - y_1 = m(x - x_1)

in this exercice : m=6 and x_1 = -4 and y_1 =4

y-4 =6(x+4)

y = 6x+24+4

y=6x+28.....answer : d

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The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?

Alenkinab [10]

For this case, the parent function is given by:

$f (x) = x ^ 2$

We apply the following transformations:

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units upwards:

For k = 9 we have:

$h (x) = x ^ 2 + 9$

Horizontal translations:

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right

For h = 4 we have:

$g (x) = (x-4) ^ 2 + 9$

Answer:

The function g (x) is given by:

$g (x) = (x-4) ^ 2 + 9$

7 0

3 years ago

Read 2 more answers

the power generated by an electrical circuit (in watts) as a function of its current C (in amperes) is modeled by P(c)= -15c(c-8

katen-ka-za [31]

Answer:

c = 4 A

Step-by-step explanation:

The given function P(c) = - 15 c (c-8) is actually quadratic function:

P(c) = - 15c² + 120c or parabola

The standard form of a quadratic function is:

y = ax² + bx + c

For which x is the maximum of the parabola we can find with this formula

x = - b/2a

in this case a = -15 and b = 120 and input variable is current c

c = - 120/(2 · (-15)) = - 120/ (-30) = 4 A

c = 4 A

God with you!!!

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3 years ago

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Perform the indicated operation 7+9+(4) 20 20 O12 O-12

Ivahew [28]

The answer would be 20.

How?

7 + 9 = 16

16 + 4 = 20

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3 years ago

Last year, Pattersonville had a population of 40,500 people . The census indicated that the population of the town has been decr

AleksandrR [38]

Answer:

34175 people will live in Pattersonville 8 years from now

Step-by-step explanation:

Initial population of Pattersonville =40,500

We are given that The census indicated that the population of the town has been decreasing by 2.1% per year .

Now we are supposed to find If this trend continues , approximately how many people will live in Pattersonville 8 years from now

Formula : $N(t)=N_0(1-r)^t$

Where N(t)= Population after t years

$N_0$ = Initial population

r = rate of decrease = 2.1 %=0.021

t = 8 years

Substitute the values in the formula :

So, $N(8)=40500(1-0.021)^8$

N(8)=34175.63223

So, 34175 people will live in Pattersonville 8 years from now

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3 years ago

Which pair of numbers is relatively prime?

Semmy [17]

B I’m pretty sure sorry if wrong

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3 years ago

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