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3 years ago

0.75(8+e)=2-1.25e what does "e' equal

1 answer:

4 0

$0.75(8+e)=2-1.25e\qquad\text{use distributive property}\\\\(0.75)(8)+0.75e=2-1.25e\\\\6+0.75e=2-1.25e\qquad\text{subtract 6 from both sides}\\\\0.75e=-4-1.25e\qquad\text{add 1.25e to both sides}\\\\2e=-4\qquad\text{divide both sides by 2}\\\\\boxed{e=-2}$

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What is the domain of F(x) = 1/x ?

Elenna [48]

Step-by-step explanation:

The domain is the possible x values of a function.

Since our function is a reciprocal function, our denominator can't equal 0. Note x=0, is a vertical asymptote.

So our domain is

All Reals except 0,

or (-oo,0) U (0, oo).

6 0

2 years ago

Find an expression for the nth term ( tn ) in each of the following sequences:

Alexandra [31]

Answer:

The expression for the nth term is Tn = 8n -7

Step-by-step explanation:

Here, we are to find an expression for the nth term of the sequence.

Mathematically, the nth term of an arithmetic sequence can be expressed as;

Tn = a + (n-1)d

for T2, the equation is

a + d = 9

for T4, the equation is

a + 3d = 25

we can substitute the equation of T2 into T4 but we first need to rewrite T4

a + d + 2d = 25

9 + 2d = 25

2d = 25 -9

2d = 16

d = 16/2

d = 8

now since a + d = 9

a = 9-d

a = 9-8

a = 1

So the expression for the nth term would be;

1 + (n-1)8

1 + 8n - 8

= 8n -8+1

= 8n -7

6 0

3 years ago

A skier skis CCW along a circular ski trail that has a radius of 1.9 km. She starts at the northern most point of the trail and

mestny [16]

The expressions of the number of radians can be expressed in the ways below.

<h3>How to write the expressions</h3>

The radius = 1.9 km

The angular speed = 3.1 radians per hour

a. The expression of t from the number of radians

θ = π/2 + 3.1t

<h3>b. Expression from the East</h3>

x = rcosθ

= 1.9cos(π/2 + 3.1t)km

<h3>c. Expression from the north of the center</h3>

= rsinθ

= 1.9sin((π/2 + 3.1t)km