because you hace the variable x and you do not know the number of fruit snacks he ate and you need to have the same variables to properly find the answer.

3 0

2 years ago

Graphing Form for Linear Equations in 2 variables.

NeX [460]

X-intercept: y = 0
y-intercept: x = 0

3x + 4y = 0

x-intercept: subtitute y = 0
3x + 4 · 0 = 0
3x = 0
x = 0 → (0; 0)

y-intercept: subtitute x = 0
3 · 0 + 4y = 0
4y = 0
y = 0 → (0; 0)

3 0

2 years ago

Write the standard form for the scientific notation. please help fast!!!

jarptica [38.1K]

$2.32\cdot10^3=2.32\cdot1,000=2,320\\\\4.2\cdot10^4=4.2\cdot10,000=42,000\\\\4.2\cdot10^{-2}=4.2\cdot0.01=0.042$

Multiplication by 10ⁿ → move decimal n places to the right.

Multiplication by 10⁻ⁿ → move decimal n places to the left.

For n ∈ N

6 0

2 years ago

Use the formula to evaluate the series 1/4 + 1/9 + 1/27 + 1/81.

Dmitriy789 [7]

Is the first term supposed to be 1/4, or did you actually mean 1/3?

I'll assume the latter. Write

$S=\dfrac13+\dfrac19+\dfrac1{27}+\dfrac1{81}$
$S=\dfrac13+\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}$
$\dfrac13S=\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}+\dfrac1{3^5}$
$\implies S-\dfrac13S=\dfrac13-\dfrac1{3^5}$
$\dfrac23S=\dfrac13\left(1-\dfrac1{3^4}\right)$
$S=\dfrac12\left(1-\dfrac1{81}\right)$
$S=\dfrac{40}{81}$

8 0

2 years ago