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3 years ago

What is the next term of the geometric sequence?

Mathematics

1 answer:

Makovka662 [10]3 years ago

6 0

Answer:

Step-by-step explanation:

In a geometric sequence you are just multiplying basically. To go from 36 to 24, you multiply by 2/3, and the same will be with the next term. When you multiply 24 by 2/3 you get 16.

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the perimeter of a rectangle is 54 meters. one side is 3 meters less than four times the length of the other side.

Firdavs [7]

54 = 2(4x-3) + 2(x)
54 = 8x-6 + 2x
60 = 10x
6 = x
so two sides are 6 meters, and the other 2 sides are 21 meters

3 0

3 years ago

Write the equation of the line graphed below in slope-intercept form (y=mx+b)?

ioda

Y = -1/2x - 1

Tell me if you need explanation

7 0

3 years ago

What function equation is represented by the graph? f(x)=14x+3 f(x)=−4x−3 f(x)=−14x−3 f(x)=14x−3

Vladimir [108]

See the explanation

<h2>Explanation:</h2>

Remember you have to provide complete questions in order to get exact answers. Here I'll provide a general explanation, so:

<h3>First.</h3>

$f(x)=14x+3$

The slope is:

$m=14$

The y-intercept is:

$b=3$

By using graphing tool, we get the first graph shown below.

<h3>Second.</h3>

$f(x)=-4x-3$

The slope is:

$m=-4$

The y-intercept is:

$b=-3$

By using graphing tool, we get the second graph shown below.

<h3>Third.</h3>

$f(x)=-14x-3$

The slope is:

$m=-14$

The y-intercept is:

$b=-3$

By using graphing tool, we get the third graph shown below.

<h3>Fourth.</h3>

$f(x)=14x-3$

The slope is:

$m=14$

The y-intercept is:

$b=-3$

By using graphing tool, we get the fourth graph shown below.

<h2>Learn more:</h2>

Linear inequalities: brainly.com/question/12984296

#LearnWithBrainly

7 0

3 years ago

Read 2 more answers

Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
$(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2$

the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

$r=3\sqrt{2}$ ≈4.2
$D=\sqrt{101}$ ≈10.04

do r<D

(8,4) is outside the circle

6 0

3 years ago

when planning for a party one caterer recommends the amount or meat be at least 2 pounds less than 1/3 the total number of guest

IgorLugansk [536]

Answer:

Let x be the number of guest and y be the quantity of meat,

According to the question,

$y\geq \frac{x}{3}-2$