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3 years ago

A triangle is reflected over the y-axis. Which drawing shows a correct reflection?

Mathematics

1 answer:

KonstantinChe [14]3 years ago

8 0

Answer:

Step-by-step explanation:

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Differentiate Vx(x + 2) with respect to x.

Travka [436]

Answer:

$y'= \frac{3x+2}{2\sqrt{x} }$

General Formulas and Concepts:

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

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

Step-by-step explanation:

Step 1: Define

$y=\sqrt{x} (x+2)$

Step 2: Rewrite

$y=x^{\frac{1}{2} } (x+2)$

Step 3: Differentiate

Product Rule [Basic Power/Chain Rule]: $y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)$
Simplify: $y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}$
Rewrite: $y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}$
Add: $y'= \frac{3x+2}{2\sqrt{x} }$

7 0

3 years ago

Use the function below to find F(4). F(x) = 3* ОА. 7 Ов. 27

Juli2301 [7.4K]

The answer would be 27. When you replace x with 4 you get 3^4 which is 27

6 0

3 years ago

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.

Gelneren [198K]

Answer:

B. y² – 5y = 750

C. 750 – y(y – 5) = 0

E. (y + 25)(y – 30) = 0

I'm assuming the 2 in the second option is supposed to be an exponent.

Step-by-step explanation:

Length = y

Width = y-5

Length × Width = Area

Area = y(y-5) = 750

Distribute.

y²-5y=750 (B is correct)

If you factor the equation above

(y + 25)(y – 30) = 0 (E is correct)

Area = y(y-5) = 750

Subtract y(y-5) from both sides.

750-y(y-5) = 0 (C is correct)

6 0

2 years ago

Show the steps and name the properties you used to solve the equation below

DochEvi [55]

Answer:

0.477121=−log(3x+7)+0.30103

Step 1: Flip the equation.

−log(3x+7)+0.30103=0.477121

Step 2: Add -0.30103 to both sides.

−log(3x+7)+0.30103+−0.30103=0.477121+−0.30103

−log(3x+7)=0.176091

Step 3: Divide both sides by -1.

log(3x+7)=−0.176091

Step 4: Solve Logarithm.

log(3x+7)=−0.176091

10log(3x+7)=10−0.176091

3x+7=0.666667

3x+7−7=0.666667−7(Subtract 7 from both sides)

3x=−6.333333

−6.333333

(Divide both sides by 3)

x=−2.111111

Step-by-step explanation:hope this helps

6 0

2 years ago

which set does square 7 belong to? integers and irrational numbers irrational and real numbers real and rational numbers rationa

pashok25 [27]

Answer:This number belongs to a set of numbers that mathematicians call rational numbers. Rational numbers are numbers that can be written as a ratio of two integers. ... square root of a number that is not a perfect square, for example , is irrational. ... The set of real numbers is all the numbers that have a location on the number ...

Step-by-step explanation:

8 0

2 years ago