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maria [59]
3 years ago
10

Find x such that x - 4, x, and 3x - 8 are three consecutive terms in a geometric sequence

Mathematics
1 answer:
Nitella [24]3 years ago
8 0
In a geometric sequence dividing any term by the term before it yields the common multiplier.
Then x/(x+8) = (3x-8)/x
Solving for x:  reduces to x^2-10x +16 factor into (x-2)(x-8)
Then x = 2 or 8
2 produces a sequence of -2, 2, -2 ...
8 produces a sequence of 4, 8, 16 ...
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Help on this question please
telo118 [61]

Answer:

$33.00

Step-by-step explanation:

Total number of members = 45+30 = 75

Total cost for making name tags

= 75 * (0.44)

= $33.00

6 0
2 years ago
there 240 students in the middle school band. The band director is dividing the students into groups of 10. Into how many groups
defon

Answer:

Step-by-step explanation:

1 group = 10 students

x group = 240 students.

1/x = 10/240              Cross multiply

10x = 240                  Divide by 10

10x/10=240/10          Do the division

x = 24

8 0
2 years ago
The table below shows selected points from a function.
FrozenT [24]

Answer:

<em>True </em>

Step-by-step explanation:

<em>Rate Of Change Of Functions </em>

Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula

\displaystyle m=\frac{d-b}{c-a}

If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.

Let's take the first two points from the table (1,1)(2,4)

\displaystyle m=\frac{4-1}{2-1}=3

Now, we use the second and the third point (2,4) (3,9)

\displaystyle m=\frac{9-4}{3-2}=5

This difference in values of the slope is enough to state the function is non-linear

Answer: True

6 0
3 years ago
Pls help I’ll brainlest <br><br> Complete the activities below
DanielleElmas [232]

Answer:

Step-by-step explanation:

( x_{1} , y_{1} )

( x_{2} , y_{2} )

rate of change or slope m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{rise}{run}

y = mx + b

"b" is y-intercept

~~~~~~~~~~~~~~~~~~~

7 0
2 years ago
Write the equation in spherical coordinates. (a) 4x2 − 3x + 4y2 + 4z2 = 0
spayn [35]
4x^2-3x+4y^2+4z^2=0
here we shall proceed as follows:
x=ρcosθsinφ
y=ρsinθsinφ
z=ρcosφ
thus
4x^2-3x+4y^2+4z^2=
4(ρcosθsinφ)^2-3(ρcosθsinφ)+4(ρsinθsinφ)^2+4(ρcosφ)
but
ρ=1/4cosθsinφ

hence we shall have:
4x^2-3x+4y^2+4z^2
=1/4cosθsinθ(cosθ(4-3sinφ))+4sin^2(φ)

6 0
3 years ago
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