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3 years ago

Given: - 1/2 x > 4

1 answer:

5 0

$-\dfrac{1}{2}x > 4\qquad|\text{change the signs}\\\\\dfrac{1}{2}x < -4\qquad|\cdot2\\\\x < -8\to\{x|x\in\mathbb{R},\ x < -8\}\to\boxed{B.}$

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To make popcorn, a movie theater uses 9 tablespoons of oil for each cup of popcorn kernels. Using the information, complete the

Andrej [43]

Answer:

B) C = 1/9

Step-by-step explanation:

Since there are 9 tablespoons of oil for each cup, that means for 1 cup, there are 9 tablespoons.

The ratio for this is 1/9

3 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

Vlad1618 [11]

Answer:

$y=-\dfrac{x}{e^{2}}+\dfrac{2}{e^{2}}\\$

this is the equation of the tangent line to the curve from the point (1, 1/e^2)

Step-by-step explanation:

$y=\dfrac{x}{e^{2x}}$

to find the tangent line we need to find the curve's derivative.

we'll be using the quotient formula: $d\left(\dfrac{u}{v}\right) = \dfrac{uv'-vu'}{v^2}$ , here $u = x\quad , \quad v = e^{2x}$

$\dfrac{dy}{dx}=\dfrac{e^{2x}(1)-x(2e^{2x})}{(e^{2x})^2}$

$\dfrac{dy}{dx}=\dfrac{e^{2x}-2xe^{2x}}{(e^{4x})}$

$\dfrac{dy}{dx}=\dfrac{\left(1-2x\right)}{ e^{2 x}}$

This is the equation of the slope of the curve. By finding the slope of the curve at (1, 1/e^2) we'll also be finding the slope of the tangent to the curve at (1, 1/e^2).

the x-coordinate is 1, so using x =1

$\dfrac{dy}{dx}=\dfrac{\left(1-2(1)\right)}{ e^{2(1)}}\\\dfrac{dy}{dx}=\dfrac{-1}{e^{2}}$

this is the slope of the tangent.

now to find the equation of the line:

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

here, m is the slope.

$(y-\dfrac{1}{e^{2}})=-\dfrac{1}{e^{2}}(x-1)\\y=-\dfrac{x}{e^{2}}+\dfrac{1}{e^{2}}+\dfrac{1}{e^{2}}\\$

$y=-\dfrac{x}{e^{2}}+\dfrac{2}{e^{2}}\\$

this is the equation of the tangent line to the curve from the point (1, 1/e^2)

3 0

3 years ago

(1/3)exponent 2 + 3 exponent 2

uysha [10]

Answer:

82/9= 9 1/9(mixed number

Step-by-step explanation

This is the answer because you multiply 1/3 twice which gives you 1/9.

Then you multiply 3 twice as well which gives you 9, so now you add 1/9+9=82/9

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

1 is the greatest common divisor of 82 and 9. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

82 over 9

9 and 1 over 9

5 0

4 years ago

What is the best estimate for 9/10 x 5/11?

xxMikexx [17]

9/22
i think i didn't get what you meant by estimate

5 0

3 years ago

Read 2 more answers

A box of oats cereal measures 24 cm long by 5 cm wide 25 cm high. A box of rice cereal measures 26 cm long by 4 cm wide by 28 mm

Tanzania [10]

Answer:

Box of oat:

24*5*25(all in cm)=3000 cm3

cereal:

26*4*2.8=291.2 cm3

oat is grater by 2708.8

Step-by-step explanation:

28mm was changed to 2.8 cm

7 0

2 years ago