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geniusboy [140]
3 years ago
15

Help plz will give brainliest

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0

Answer:  5(13.5-4.5)

5(9)

=45

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3 times a number is 54 less than the square of that number
Natasha2012 [34]

Answer:

-6

Step-by-step explanation:

3n = n² - 54

n² - 3n - 54 = 0

n² - 9n + 6n - 54 = 0

n(n - 9) + 6(n - 9) = 0

(n - 9)(n + 6) = 0

n = 9 , -6

hope this helps

8 0
2 years ago
Read 2 more answers
A down payment of 15% of the $21,200 purchase price of a new car is made. Find the amount financed.
trapecia [35]
Hello.

The answer to 1 is <span>$3,180
All you have to do is divide 21,200 by 15% 

The answer to 2 that is also true. You would have to find the unit rate to be able to find how much miles to operate.

Have a nice day</span>
6 0
3 years ago
For f (x) = x2 - 5, find f (x) when x = 0 and when x = 3<br> f (0) =<br> f (3) =
Bas_tet [7]

Answer:

1 minus 1 is 0

Step-by-step explanation:

1-1 equals 0

7 0
3 years ago
A particle begins at point (1, 2) and is moving along the line segment joining (1, 2) to (3, 4). Initially, what is the rate of
Bumek [7]

Answer:

Initially, that is, at (1,2), the rate of increase of the function in the direction given = 0

Hence the function is neither increasing nor decreasing initially in the given direction.

Step-by-step explanation:

f(x,y) = 2x² - y²

Rate of Change of the function = ∇f = (fₓ, fᵧ)

And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

Direction = (3,4) - (1,2) = (2,2)

Uni vector = vector/magnitude

Vector = 2î + 2j

magnitude = √(2² + 2²) = √8 = 2 √2

(2î + 2j)/(2√2) = (1/√2)î + (1/√2)j = û

Unit vector in the direction = (1/√2, 1/√2)

f = 2x² - y²

At (1,2)

fₓ = ∂f/∂x = 4x = 4

fᵧ = ∂f/∂y = -2y = -4

∇f = (4,-4)

∇f.û = (4î - 4j).((1/√2)î + (1/√2)j) = (4/√2) - (4/√2) = 0

If it was positive, then the function is increasing, if it was negative, the function is decreasing. Zero means neither of them.

Hence the function is neither increasing nor decreasing initially in the given direction.

7 0
3 years ago
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3, –8); m = –5
Paraphin [41]

Answer:

y+8=-5(x-3)

Step-by-step explanation:

The formula for point-slope form is y-y1=m(x-x1)

The points for (x1, y1) are (3, -8), meaning that 3 is x1 and -8 is y1.

So, start by writing your equation like this: y--8=m(x-3)

For the equation y--8=m(x-3), the y--8 will change to a + sign because two negatives make a positive, right? So, the equation should now look like this: y+8=m(x-3).

We know that the slope (m) is -5. Plug that into the equation to get this: y+8=-5(x-3)

And there you have it!! The equation is now in point-slope form!!

y+8=-5(x-3) is the final answer!!

Hope that helps you!! Please give me brainliest!!

7 0
2 years ago
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