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2 years ago

If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function

Mathematics

1 answer:

Mademuasel [1]2 years ago

6 0

The new equation will become f(x) = 3( $2^{x}$ ).

The given information is the stretch factor which is 3 and the equation f(x)= $2^{x}$ .

When there is a vertical strecth factor, you need to multiply the equation by the stretch factor.

By stretching the function, the value of y has to be multiplied by 3, will now be equal to 3f(x)

The new equation will become f(x) = 3( $2^{x}$ ).

To learn more about the stretching of function visit: brainly.com/question/4263889

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3 years ago

What is the product? (5.63 x 10^5) x 5,600,000

victus00 [196]

Answer: $3.1528 \times 10^{12}.$

Step-by-step explanation: Given expression $(5.63 \times 10^5) \times 5,600,000$ .

In order to find the product of given expression, we need to convert 5,600,000 into scientific notation, because other number is also in scientific notation.

5,600,000 = 5.6 × 10^6.

Therefore, $(5.63 \times 10^5) \times 5,600,000 =(5.63 \times 10^5) \times (5.6 \times 10^6)$ .

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$(5.63 \times 10^5) \times (5.6 \times 10^6) = 31.528 \times 10^11$ .

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3 years ago

What is the value of x to the nearest tenth?

Colt1911 [192]

Answer:

C. 17.6

General Formulas and Concepts:

Math

Rounding

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = 40°

Opposite Leg = x

Adjacent Leg = 21

Step 2: Solve for x

Substitute in variables [tangent]: $\displaystyle tan(40^\circ) = \frac{x}{21}$
[Multiplication Property of Equality] Isolate x: $\displaystyle 21tan(40^\circ) = x$
Rewrite: $\displaystyle x = 21tan(40^\circ)$
Evaluate: $\displaystyle x = 17.6211$
Round: $\displaystyle x \approx 17.6$