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2 years ago

CAN SOMEONE HELP ME WITH THIS???????????

Mathematics

1 answer:

yanalaym [24]2 years ago

8 0

Answer:

See Step by step explanation

Step-by-step explanation:

$(g+f)(x) = g(x) + f(x) = 7x-1\\(g'f)(x) = g(x)f(x) = (3x-1)(4x) = 12x^{2}-4x\\(g-f)(-2) = -(-2)-1 = 1$

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find the component equation of the plane which is normal to the vector -2i+5j+k and which contains the point (-10;7;5).

maksim [4K]

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).

To find:

The component equation of the plane.

Solution:

The equation of plane is

$a(x-x_0)+b(y-y_0)+c(z-z_0)=0$

Where, $(x_0,y_0,z_0)$ is the point on the plane and $\left< a,b,c\right>$ is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

$-2(x-(-10))+5(y-7)+1(z-5)=0$

$-2(x+10)+5y-35+z-5=0$

$-2x-20+5y-35+z-5=0$

$-2x+5y+z-60=0$

$-2x+5y+z=60$

Therefore, the equation of the plane is $-2x+5y+z=60$ .

4 0

2 years ago

Point D is at (3,-4) and is translated 5 units up

adoni [48]

Answer:

(-1,1)

Step-by-step explanation:

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3 years ago

Jackson goes to the gym 0,2 or 3 days in a week, depending on work demands at the office. The probability that he goes 0 days is

Dmitry_Shevchenko [17]

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3 years ago

A car travels at the rate of x miles per hour for y minutes. which of the following gives the number of miles the car has travel

harkovskaia [24]

Given that speed of car = x miles per hour

Time of travel = y minutes = y/60 hours

(Because there are 60 minutes in an hour)

We have to calculate distance travelled so we will use formula

Distance = speed * time

Distance = x * y/60

Distance = xy/60

Hence choice d) xy/60 is the final answer.

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3 years ago

Please find the answer to this function! F(2)= 6x^4-10x^3+40x-50

steposvetlana [31]

<u>Answer-</u>

$f(2)= 6x^4-10x^3+40x-50=46$

<u>Solution-</u>

The given function is,

$\Rightarrow f(x)= 6x^4-10x^3+40x-50$

Now, we have to find the value of f(x) at x=2 i.e f(2), so putting x as 2 in the given function,

$\Rightarrow f(2)= 6(2)^4-10(2)^3+40(2)-50$

$\Rightarrow f(2)= (6\times 16)-(10\times 8)+(40\times 2)-50$

$\Rightarrow f(2)= 96-80+80-50$

$\Rightarrow f(2)= 96-50$

$\Rightarrow f(2)= 46$

Therefore, f(2) was found to be 46.

7 0

3 years ago