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3 years ago

Which sequence is modeled by the graph below? Coordinates are 1,1 2,2 3,4 4,8

2 answers:

7 0

The point of the graph are: (1,1),(2,2), (3,4), (4,8).
Then the sequence is:

For the x-coordinate:1,2,3,4,5,6,7...

For the y-coordinate:1,2,4,8, which is 2^0,2^1,2^2,2^3... so there for the next y-coordinates are 16,32,64,128, ...

So the sequence is: 1,2,4,8,16,32,... 2^x.

vesna_86 [32]3 years ago

6 0

The given points are:

1,1
2,2
3,4
4,8

The first point indicates the number of term and second points indicate the value of the term in the sequence.

So, the sequence we get is:

1, 2, 4, 8, ...

Notice that each term of the sequence is obtained by multiplying the previous term by 2. A sequence with such a relation is known as Geometric Sequence or a Geometric Progression (G.P)

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ANSWER ASAP PLZ!!

Vikentia [17]

$\text{If is}\\\\\left\{\begin{array}{ccc}0.2-0.3y=4\\2.3x-y=1.2\end{array}$

Answer:

$\large\boxed{\left(-\dfrac{344}{69},\ -\dfrac{38}{3}\right)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}0.2-0.3y=4\\2.3x-y=1.2&\text{multiply both sides by (-0.3)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}0.2-0.3y=4\\-0.69x+0.3y=-0.36\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-0.69x+0.2=3.64\qquad\text{subtract 0.2 from both sides}\\.\qquad-0.69x=3.44\qquad\text{divide both sides by (-0.69)}\\.\qquad x=-\dfrac{3.44\cdot100}{0.69\cdot100}\\.\qquad \boxed{x=-\dfrac{344}{69}}\\\\\text{Calculate the value of y from first equation:}$

$0.2-0.3y=4\qquad\text{subtract 0.2 from both sides}\\-0.3y=3.8\qquad\text{divide both sides by (-0.3)}\\y=-\dfrac{3.8\cdot10}{0.3\cdot10}\\\boxed{y=-\dfrac{38}{3}}$

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$\text{If is}\\\\\left\{\begin{array}{ccc}0,2x-0,3y=4\\2.3x-y=1.2\end{array}\right$

Answer:

$\large\boxed{\left(-\dfrac{52}{7},\ -\dfrac{128}{7}\right)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}0.2x-0.3y=4&\text{multiply both sides by 10}\\2.3x-y=1.2&\text{multiply both sides by 10}\end{array}\right\\\\\left\{\begin{array}{ccc}2x-3y=40&\text{multiply both sides by (-10)}\\23x-10y=12&\text{multiply both sides by 3}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-20x+30y=-400\\69x-30y=36\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad49x=-364\qquad\text{divide both sides by 49}\\x=-\dfrac{364:7}{49:7}\\.\qquad\boxed{x=-\dfrac{52}{7}}$

$2\left(-\dfrac{52}{7}\right)-3y=40\\-\dfrac{104}{7}-3y=40\qquad\text{multiply both sides by 7}\\-104-21y=280\qquad\text{add 104 to both sides}\\-21y=384\qquad\text{divide both sides by (-21)}\\y=-\dfrac{384:3}{21:3}\\\boxed{y=-\dfrac{128}{7}}$

7 0

4 years ago

Volume is the amount of blank inside a three-dimensional figure

Softa [21]

Answer: Volume is the amount of enclosed space inside a three dimensional figure.

Step-by-step explanation:

3 0

3 years ago

How does knowing 1/5 of 10 help you find 3/5 of 10? Draw a picture to explain your thinking.

Alborosie

Answer:

If the problem is,

$\frac{1}{5}\text{ of }10$

By finding it,

Take a 5 box grid in which each box represents 1 unit,

Then take 1 box of this grid,

Repeat this step,

Finally, Add them,

We get,

A grid having 10 boxes with 2 taken boxes,

Thus, $\frac{1}{5}\times 10=2$

When we do these steps for three grids we will get $\frac{3}{5}\times 10$ ,

That is, by multiplying the result of $\frac{1}{5}\times 10$ by 3 we will obtain $\frac{3}{5}\times 10$

$\frac{3}{5}\times 10=3\times (\frac{1}{5}\times 10)=3\times 2=6$

7 0

3 years ago

The temperature of water in a certain lake on a day in October can be determined by using the model y=15.2-0.537x where x is the

beks73 [17]

<span>y=15.2-0.537x substitute 9 for y

9</span><span>=15.2-0.537x add .537x to both sides and subtract 9 from both sides
.537x =6.2 divide both side by .537
x= 11.545 round it to 12</span>

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4 years ago

Read 2 more answers

What is the equivalent to 13/75?

Rama09 [41]

13 is prime, so 13/75 can't be reduced. You could, however,
write

13/75 = 0.17333... This is a repeating decimal.

7 0

3 years ago