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4 years ago

HELP ASAP!!!!!!!!!!!!!

Mathematics

1 answer:

Paladinen [302]4 years ago

3 0

Answer:

<h3> A. $\bold{a_n=-3\cdot\left(\frac18\right)^{n-1}}$ </h3>

Step-by-step explanation:

$\begin{cases}a_1=-3\\a_n=a_{n-1}\cdot\dfrac18\end{cases}\\\\\\a_2=a_{2-1}\cdot\frac18=a_1\cdot\frac18\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_1\cdot\frac18}{a_1}=\dfrac18\\\\\\a_n=a_1\cdot r^{n-1}\\\\a_n=-3\cdot\left(\frac18\right)^{n-1}$

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HELP ASAP 100 POINTS!!!!!

swat32

18−2x=4x = Given

18=6x = Addition property of equality ( Add 2x to both sides)

3=x = Division Property of Equality )( divide both sides by 6).

4 0

3 years ago

Read 2 more answers

Please help me solve each question! Make sure to show work so I can earn full credit.

omeli [17]

(1)

$5x-5\geq10\,\,\mbox{or}\,\,-3x+1>13\\5x\geq15\,\,\mbox{or}\,\,-3x>12\\x\geq3\,\,\mbox{or}\,\,x$

(2)

$5x + 3\leq18 \,\,\mbox{and}\,\,4 - x < 6\\5x\leq15 \,\,\mbox{and}\,\,- x < 2\\x\leq3 \,\,\mbox{and}\,\,x > 2\\2$

8 0

3 years ago

Read 2 more answers

7. How many different ways can a class of 22 second graders line up to go to lunch?

pogonyaev

Answer:

The number of different ways are 22! or 1,124,000,727,777,607,680,000.

Step-by-step explanation:

Consider the provided information.

We need to determine the number of different ways can a class of 22 second graders line up.

We need to select 22 second graders while taking 22 at a time.

So use the permutation formula: $^{n}P_{n}$

Substitute n=22 and simplify.

$^{22}P_{22}=\frac{22!}{(22-22)!}\\22!=1,124,000,727,777,607,680,000$

Hence, the number of different ways are 22! or 1,124,000,727,777,607,680,000.

6 0

3 years ago

(0.5x+15)+(8.7x-1.6)

GaryK [48]

Answer:

9.2X + 13.4

Step-by-step explanation:

Combine like terms

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4 years ago

The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slop

LekaFEV [45]

Answer:

a. The slope is 5/4

b. The equation in slope and intercept form is y = 5/4·x + 12

c. The base cost of making a fruit juice is $12

Step-by-step explanation:

The equation that gives the cost in dollars of making your own fruit juice is given as follows;

y - 2 = 5/4·(x + 8)

a. The slope = The coefficient of x = 5/4

The slope = 5/4

b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;

y - 2 = 5/4·(x + 8)

y = 5/4·x + 10 + 2

y = 5/4·x + 12

c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12

The base cost of making a fruit juice = $12.

6 0

3 years ago