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3 years ago

BRAINIEST & 25 POINTS

Mathematics

1 answer:

Illusion [34]3 years ago

3 0

Answer:

The coordinates are (-5,5)

Step-by-step explanation:

Here, we want to find the coordinates that divides the given line segment using the given ratio

Mathematically, the equation to use is the internal division formula

That will be;

(x,y) = (nx1 + mx2)/m + n , (ny1 + my2)/m + n

where m = 1

n = 4

(x1,y1) = ((-8,8)

(x2,y2) = (7,-7)

Substituting these values, we have

(x,y) = (4(-8) + 1(7))/(1+4) , (4(8) + 1(-7)/(1 + 4)

(x,y) = (-32 + 7)/5, (32 -7)/5

(x,y) = (-25/5), (25/5)

(x,y) = (-5,5)

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Y=−3(2.5)x

Hoochie [10]

Answer:

1. The equation represent an exponential decay

2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)

Step-by-step explanation:

When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;

log a(t) = log(a₀) + x·log(1 + r)

Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;

log y = log(-3) + x·log(2.5)

Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.

The rate of the exponential decay is given by the following equation;

$\frac{dy}{dx} =\frac{d(-3(2.5)^x)}{dx} = -\frac{d(3\cdot e^{x\cdot ln(2.5)})}{dx} = -3 \times 2.5^x\times ln(2.5)$

Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)

5 0

4 years ago

The function f(x) = –x2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is th

Fynjy0 [20]

The function is: f ( x ) = - x² + 60 x - 116 is in the form: f ( x ) = a x² + b x + c
Part A:
x = -b / 2 a = - 60 / ( - 2 ) = 30
Then we will charge it into the function:
f ( 30 ) = - 30² + 60 · 30 - 116 = - 900 +1,800 - 116 = 784
The vertex is ( 30, 784 ).
It means that the maximum profit is $784, when 30 windshields are repaired.
Part B:
x 1/2 = ( -60 +/- √(3600 - 464 )/ (- 2 ) = ( -60 +/- 56 ) / ( - 2 )
x 1 = 2, x 2 = 58
It means that a shop has to repair at least 2 windshields and not more than 58 windshields for making a profit.

4 0

4 years ago

(LC) The following coordinates of four points are shown: P(4, 5), Q(5, 3), R(6, 1), S(3, 6) Which point is closest to the origin

zzz [600]

Answer:

Step-by-step explanation:

6 0

2 years ago

A tortoise, or land turtle, might cover about 450 feet in an half an hour. What is this speed in feet per minute?

schepotkina [342]

I think 15 feet per minute

6 0

4 years ago

A pyramid of lcm x 1cm x 1cm cubes is formed. The bottom layer has 1 anrrangement of these cubes. The second layer has a 9 angan

loris [4]

Answer:

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6 0

3 years ago

*BRAINIEST & 25 POINTS*

BRAINIEST & 25 POINTS