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3 years ago

Which algebraic expression represents the phrase “fourteen increased by a number”?

Mathematics

1 answer:

kipiarov [429]3 years ago

8 0

Answer:

14+x

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=f%28n%29%3D3%5En" id="TexFormula1" title="f(n)=3^n" alt="f(n)=3^n" align="absmiddle" class="la

andrezito [222]

Answer:

$24(f(n))$

Step-by-step explanation:

$f(n+3) = 3^{n+3}\\f(n+1) = 3^{n+1}$

$f(n+3) - f(n+1) = 3^{n+3} - 3^{n+1}$

$= 27(3^n) - 3(3^n)$

$= 24(3^n)$

$= 24(f(n))$

hope this helped! :)

4 0

2 years ago

Mr. Twain asked the students in his class to draw the figure below using a scale factor

arsen [322]

Answer:Mark

Step-by-step explanation:Diva

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?.

marin [14]

To solve the problem we must know the basic exponential properties.

<h3>What are the basic exponent properties?</h3>

${a^m} \cdot {a^n} = a^{(m+n)}$

$\dfrac{a^m}{a^n} = a^{(m-n)}$

$\sqrt[m]{a^n} = a^{\frac{n}{m}}$

$(a^m)^n = a^{m\times n}$

$(m\times n)^a = m^a\times n^a$

The expression can be written as $x^9\sqrt[3]{y}$ .

Given to us

$(x^{27}y)^\frac{1}{3}$

$(x^{27}y)^\frac{1}{3}$

Using the exponential property $(m\times n)^a = m^a\times n^a$ ,

$=(x^{27}y)^\frac{1}{3}\\\\=x^{\frac{27}{3}}\times y^\frac{1}{3}\\\\=x^9\times y^\frac{1}{3}$

Using the exponential property $\sqrt[m]{a^n} = a^{\frac{n}{m}}$ ,

$=x^9\times y^\frac{1}{3}\\\\=x^9\times \sqrt[3]{y}\\\\=x^9 \sqrt[3]{y}$

Hence, the expression can be written as $x^9\sqrt[3]{y}$ .

Learn more about Exponent properties:

brainly.com/question/1807508

5 0

2 years ago

Read 2 more answers

Find the value of the question mark

zvonat [6]

The value of the question mark I 8.
Step by step solution:

Values:

Brown frosted donut: 3

Orange frosted donut: 1/3

White frosted donut: 1

Hope this helps!! :)

6 0

2 years ago

if the perimeter of the rectangle was known to be 90 in what would the value of x be in order for this to be true

Fofino [41]

Answer:

x = 30 in

Step-by-step explanation:

length of rectangle is (2/3)x + 10; width is (1/3)x + 5;

perimeter is 90 in; find x:

P = 90 in = 2(2/3)x + 2(10) + 2(1/3)x + 2(5), or

90 in = (6/3)x + 30 in

Solving for x, we get (2)x = 60 in, or x = 30 in

8 0

3 years ago