Which shows the following expression after the negative exponents have been eliminated?

What fomula can be used to describe the sequence? -2/3,-4,-24,-144

Lunna [17]

This is a geometric sequence with n th term formula

$a_{n}$ = $a_{1}$ $(r)^{n-1}$

where r is the common ratio and $a_{1}$ the first term

here $a_{1}$ = - $\frac{2}{3}$ and

r = $\frac{-144}{-24}$ = $\frac{-24}{-4}$ = 6

$a_{n}$ = - $\frac{2}{3}$ $(6)^{n-1}$

or in terms of x

f(x) = - $\frac{2}{3}$ $(6)^{x-1}$

5 0

4 years ago

What is 27 is what % of 60?

natta225 [31]

Let 27 be x% of 60

so,
x/100 *60 = 27
x = 27*100/60 = 270/6 = 45

So,
27 is 45% of 60.

6 0

4 years ago

A five inch tall bamboo shoot doubles in height every three days. If the equation y=ab^x, where x is the number of doubling peri

stiv31 [10]

The correct answer for the question that is being presented above is this one: "x = 2; a = 5; b = 3" A 5 inch tall bamboo shoot doubles in height every 3 days. If the equation y=ab^x, where x is the number of doubling periods, represents the height of the bamboo shoot

4 0

3 years ago

Jerry had 1 gallon of ice cream he used 3/10 gallon to make chocolate milkshakes and 0.40 gallon to make vanilla milkshakes how

Gre4nikov [31]

Let
x------> the remaining ice cream

we know that
3/10------> 0.30
so

x=1-0.30-0.40-----> x=1-0.70------> x=0.30 gal------> 3/10 gal

the answer is
3/10 gal

6 0

4 years ago

6. 4x + 2y = 16 | 5x - 2y = 38

Zolol [24]

Answer:

1. Slope = -4.000/2.000 = -2.000

x-intercept = 8/2 = 4

y-intercept = 8/1 = 8.00000

2. Slope = 5.000/2.000 = 2.500

x-intercept = 38/5 = 7.60000

y-intercept = 38/-2 = 19/-1 = -19.00000

Step-by-step explanation:

1.

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

4x + 2y - 16 = 2 • (2x + y - 8)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2 Solve 2x+y-8 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-8 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 8/1 so this line "cuts" the y axis at y= 8.00000

y-intercept = 8/1 = 8.00000

Calculate the X-Intercept :

When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000

x-intercept = 8/2 = 4

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 8.000 and for x=2.000, the value of y is 4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.000 - 8.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -4.000/2.000 = -2.000

Geometric figure: Straight Line

Slope = -4.000/2.000 = -2.000

x-intercept = 8/2 = 4

y-intercept = 8/1 = 8.00000

Processing ends successfully

2.

Step 1 :

Equation of a Straight Line

1.1 Solve 5x-2y-38 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 5x-2y-38 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 19/-1 so this line "cuts" the y axis at y=-19.00000

y-intercept = 38/-2 = 19/-1 = -19.00000

Calculate the X-Intercept :

When y = 0 the value of x is 38/5 Our line therefore "cuts" the x axis at x= 7.60000

x-intercept = 38/5 = 7.60000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -19.000 and for x=2.000, the value of y is -14.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -14.000 - (-19.000) = 5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 5.000/2.000 = 2.500

Geometric figure: Straight Line

Slope = 5.000/2.000 = 2.500

x-intercept = 38/5 = 7.60000

y-intercept = 38/-2 = 19/-1 = -19.00000

Processing ends successfully

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4 0

3 years ago