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3 years ago

Matt has 3 different colored T-shirts and 2 different colored shorts

Mathematics

1 answer:

Paul [167]3 years ago

6 0

Answer:

Step-by-step explanation:

3 x 2 = 6

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What is the explicit rule for the sequence? −3, 0,3,6,9,... Enter your answer in the box.

PtichkaEL [24]

Answer:

aₙ = 3n - 6

Step-by-step explanation:

Given sequence:

−3, 0,3,6,9,...

This is AP with:

The first tern a₁ = - 3
Common difference d = 3

The rule for the nth term of the sequence is:

aₙ = a₁ + (n - 1)d

Substitute values:

aₙ = -3 + (n - 1)(3) =
-3 + 3n - 3 =
3n - 6

3 0

3 years ago

Help me? idk the answer :P

Alexus [3.1K]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\
\left( 2^8\cdot 3^{-5}\cdot 6^0 \right)^{-2}\left( \cfrac{3^{-2}}{2^3} \right)^4\cdot 2^{28}\impliedby \textit{let's do the first group}
\\\\
-------------------------------\\\\
$

$\bf \left( 2^8\cdot \cfrac{1}{3^5}\cdot 1 \right)^{-2}\implies \left( \cfrac{2^8}{3^5} \right)^{-2}\implies \left( \cfrac{3^5}{2^8} \right)^{2}\implies \cfrac{3^{2\cdot 5}}{2^{2\cdot 8}}\implies \boxed{\cfrac{3^{10}}{2^{16}}}\\\\
-------------------------------\\\\
\textit{now the second group}\qquad \left( \cfrac{3^{-2}}{2^3} \right)^4\implies \left( \cfrac{\frac{1}{3^2}}{2^3} \right)^4\implies \left( \cfrac{1}{2^3\cdot 3^2} \right)^4$

$\bf \cfrac{1^4}{2^{4\cdot 3}\cdot 3^{4\cdot 2}}\implies \boxed{\cfrac{1}{2^{12}\cdot 3^8}}\\\\
-------------------------------\\\\
\textit{so we end up with\qquad }\cfrac{3^{10}}{2^{16}}\cdot \cfrac{1}{2^{12}\cdot 3^8}\cdot 2^{28}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{16}\cdot 2^{12}\cdot 3^8}
\\\\\\
\cfrac{3^{10}\cdot 2^{28}}{2^{16+12}\cdot 3^8}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{28}\cdot 3^8}\implies 3^{10}\cdot 2^{28}\cdot 2^{-28}\cdot 3^{-8}$

$\bf 3^{10-8}\cdot 2^{28-28}\implies 3^2\cdot 1\implies 3^2\implies 9$

7 0

3 years ago

A.) f(x)=3x^2-18x+27.

Alona [7]

A)
Vertex:(3,0)
x-intercepts: (3,0)
y-intercepts: (0,27)

B)
Vertex:(0,-9)
x-intercepts:none
y-intercepts: (0,-9)

8 0

3 years ago

Read 2 more answers

Haley’s work evaluating (Negative 2) Superscript 8 is shown below.

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

The statements are shown below:

A) She used the wrong number as a repeated factor and should have evaluated -2x2x2x2x2x2x2x2.

B) She used the wrong number as a repeated factor and should have evaluated -(8x8).

C) She misinterpreted the exponential form and should have multiplied -2 and 8.

D) She made a sign error when multiplying and should have had 256 as a final answer.

Solution:

The problem to simplify is:

$(-2)^{8}$

Haley's steps are shown below:

$(-2)^{8}=(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)=-256$

Generally,

$(a)^b$ is actually "a" multiplied "b" times.

So, Haley wrote "-2" eight times multiplied together. That is okay.

Now,

We are dealing with negative numbers.

When negative numbers are multiplied "odd" number of times, the answer is negative.
When negative numbers are multiplied "even" number of times, the answer is positive.

Haley wrote "-2" eight times, which is EVEN number of times, so the answer would be POSITIVE. But, Haley's answer is negative. Which is wrong. But "256" is right.

Haley's error is:

Answer choice D

6 0

3 years ago

Read 2 more answers

What equals c? c- 7.6= -4

lord [1]

The answer is...
C = 7.6

5 0

3 years ago

Read 2 more answers