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3 years ago

Marjorie evaluated the expression 8x + 9 for x = 6 as shown:

Mathematics

1 answer:

allsm [11]3 years ago

5 0

Answer:

Step-by-step explanation:

8(6) + 9

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3x2 + 7x + 2 how to factor

omeli [17]

Answer:

(x+2)(3x+1)

Step-by-step explanation:

4 0

3 years ago

If y varies directly as the x^2 and y =200 when x =5 ,What is the value of y when x =-3

PtichkaEL [24]

The answer you want would be -120

b/c 200/5 is 40 so -3*40 is -120

6 0

4 years ago

Read 2 more answers

Find the derivative of ln(cosx²).

RoseWind [281]

Answer:

$\displaystyle \frac{dy}{dx} = -2x \tan (x^2)$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = \ln (\cos x^2)$

Step 2: Differentiate

Logarithmic Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}$
Trigonometric Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}$
Basic Power Rule: $\displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}$
Rewrite [Trigonometric Identities]: $\displaystyle y' = -2x \tan (x^2)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0

3 years ago

John's salary is $1250 a month plus a 5% commission on all his sales. What must the amount of his sales be to earn at least $150

rewona [7]

Answer:

5,000

Step-by-step explanation:

5,000 x .05 = 250

250 + 1,250 = 1,500

3 0

3 years ago

A water tank is leaking at a rate of 6 gallons per hour.

Vanyuwa [196]

The tank is leaking at the rate of 6 gallons per hour.

If you do nothing but sit there and watch it all afternoon,
here's what you'll see:

First hour . . . . 6 gallons leaks out
Second hour . another 6 gallons leaks out
Third hour . . . another 6 gallons leaks out

Total gone after 3 hours: (6 + 6 + 6) = 18 gallons .

7 0

3 years ago

Read 2 more answers