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2 years ago

What is the slope of the line with points A and B?

Mathematics

1 answer:

marshall27 [118]2 years ago

3 0

Answer:

-1

Step-by-step explanation:

A = (0,0)

B = (1,-1)

Slope = (-1-0)/(1-0) = -1/1 = -1

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Alisha has a 15000 car loan with 6 percent interest rate that is compounded annually how much will she have paid at the end of t

svetlana [45]

A=p(1+r)^t
A=15,000×(1+0.06)^(5)
A=20,073.38

7 0

3 years ago

What is the y intercept if the slope=2/3

Yuliya22 [10]

Answer:

y intercept is 0

Step-by-step explanation:

y=2/3x+b

if x=0 y=0 (0,0)

if x=3, y=2 (3,2)

y=2/3x+b

2=2+b

b=0

7 0

3 years ago

Can someone help me with a and c only

Nataly [62]

Answer: the answer to C is 4,176,000,000,000,000

Step-by-step explanation:

2.9(105)(7.2)(102)

5(10−8)

(2.9)(100000)(7.2)(102)

5(10−8)

(290000)(7.2)(102)

5(10−8)

2088000(102)

5(10−8)

(2088000)(100)

5(10−8)

208800000

5(10−8)

208800000

100000000

)

208800000

20000000

=4176000000000000

7 0

3 years ago

Help with 30 please. thanks.

Svet_ta [14]

Answer:

See Below.

Step-by-step explanation:

We have the equation:

$\displaystyle y = \left(3e^{2x}-4x+1\right)^{{}^1\! / \! {}_2}$

And we want to show that:

$\displaystyle y \frac{d^2y }{dx^2} + \left(\frac{dy}{dx}\right) ^2 = 6e^{2x}$

Instead of differentiating directly, we can first square both sides:

$\displaystyle y^2 = 3e^{2x} -4x + 1$

We can find the first derivative through implicit differentiation:

$\displaystyle 2y \frac{dy}{dx} = 6e^{2x} -4$

Hence:

$\displaystyle \frac{dy}{dx} = \frac{3e^{2x} -2}{y}$

And we can find the second derivative by using the quotient rule:

$\displaystyle \begin{aligned}\frac{d^2y}{dx^2} & = \frac{(3e^{2x}-2)'(y)-(3e^{2x}-2)(y)'}{(y)^2}\\ \\ &= \frac{6ye^{2x}-\left(3e^{2x}-2\right)\left(\dfrac{dy}{dx}\right)}{y^2} \\ \\ &=\frac{6ye^{2x} -\left(3e^{2x} -2\right)\left(\dfrac{3e^{2x}-2}{y}\right)}{y^2}\\ \\ &=\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\end{aligned}$