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1 year ago

-4.25 ⋅ (3/10 + 1/5)

Mathematics

1 answer:

elixir [45]1 year ago

3 0

Answer: -0.85

Step-by-step explanation:

3/10 + 1/5 = 1/2

1/2 x -4.25 = -0.85

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According to a NY Times article on December 13, 2009, The average selling price of a 32-inch LCD TV was $600. Use the annual CPI

-BARSIC- [3]

Answer:

Your answer should be 647.51

Explanation : the price was 215.949 in December, 2009.

the price was 233.049 in December, 2013.

divide 233.049 by 235.949 and got 1.079185363.

multiply that by 600 and got 647.5112179.

8 0

3 years ago

Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

$g(x) =e^{x^3}$

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$

using the equation of line:

$(y-y_1)=m(x-x_1)$

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

$(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\$

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

3 0

3 years ago

Lindsay prepared 9 containers of fruit punch for a party. After the party, there were still 4 4/9 containers of fruit punch left

umka2103 [35]

Turn 9 into $\frac{81}{9}$ . Then, convert 4 $\frac{4}{9}$ into a improper faction ( $\frac{40}{9}$ ). Then, subtract

$\frac{81}{9} - \frac{40}{9} = \frac{41}{9}$ . Lastly, convert $\frac{41}{9}$ to a mixed fraction ( $4\frac{4}{9}$ ).

Your answer is $4\frac{4}{9}$ .

6 0

3 years ago

I'm gonna give 25 points if you can help me with the 6 questions

postnew [5]

Answer:

1. x<4

2.x<-15

3.a<6

4.x<32

5.r<66

6.m≤-3

8 0

3 years ago

3(6d-24)=6(12+3d)<br> i need help

Alexxandr [17]

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

3(6d−24)=6(12+3d)

Step 1: Simplify both sides of the equation.

3(6d−24)=6(12+3d)

(3)(6d)+(3)(−24)=(6)(12)+(6)(3d)(Distribute)

18d+−72=72+18d

18d−72=18d+72

Step 2: Subtract 18d from both sides.

18d−72−18d=18d+72−18d

−72=72

Step 3: Add 72 to both sides.

−72+72=72+72

0=144

Answer:

There are no solutions.

5 0

3 years ago