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3 years ago

Write the equation of the line in slope intercept form that has the given slope and the y-intercept

Mathematics

1 answer:

Ainat [17]3 years ago

6 0

4). y = 2x - 6

5). y = -1x + 3

6). y = -1/3x - 1

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You are given g(x)=4x^2 + 2x and

Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

$g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt$

Find:

$f(6)$

First, find f(x):

$f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2$

Now,

$f(6)\\ \\=\dfrac{4\cdot 6^3}{3}+6^2\\ \\=288+36\\ \\=324$

4 0

3 years ago

keon ha some change in his pocket then a friend loaned him 0.25 now keon has 1.45 in his pocket which equation can be used to fi

Studentka2010 [4]

Answer:

$1.45-$0.25=x

x=$1.20

Step-by-step explanation:

3 0

3 years ago

Y = f(x) = 4^x<br> Find f(x) when x = 1/2<br> Enter the correct answer.

nirvana33 [79]

I believe the answer is 2

4 0

3 years ago

Read 2 more answers

Need help vrtfv fvvfgsf

maksim [4K]

Answer:

b = 8

Step-by-step explanation:

Use the Pythagorean theorem

c^2 = a^2 + b^2

c = 10

a = 6

b = ?

Substitute into the formula

10^2 = 6^2 + b^2

100 = 36 + b^2 Subtract 36 from both sides

100 - 36 = b^2 Combine

64 = b^2 Take the square root of both sides.

√64 = √b^2

b = 8

7 0

3 years ago

What is the value of p in the linear equation ? −4 −2 2 4

Snezhnost [94]

Answer:

p = -2

Step-by-step explanation:

O we have to solve this equation:

24p + 12 - 18p = 10 + 2p - 6

First, we will operate what we have in both sides:

24p - 18p + 12 = 10 - 6 + 2p

6p + 12 = 4 + 2p

We substract 2p in both sides and 12 too.

6p + 12 - 2p - 12 = 4 + 2p - 2p - 12

4p = -8

Now, we divide both sides by 4

4p/4 = -8/4

7 0

3 years ago

Read 2 more answers