The values in the table represent an exponential function. What is the common ratio of the associated geometric sequence?

[tex]

\dfrac{1}{x-1}-\dfrac{3}{x^2+2x-3} \\

\dfrac{1}{x-1}-\dfrac{3}{(x+3)(x-1)} \\

\dfrac{1\cdot(x+3)-3}{(x+3)(x-1)} \\

\dfrac{x+3-3}{(x+3)(x-1)} \\

\dfrac{x}{(x+3)(x-1)}

[/tex]

Hope this helps.

r3t40

Answer:

B acute

D equilateral

Step-by-step explanation:

All the sides are equal (line in the middle of each side) = equilateral

All the angles are equal (single line in each angle) = equilangular

That means 180/3 = 60

Each angle is 60 degrees  60 degree angles are acute

Answer:

Step-by-step explanation:

22

Answer:

Step-by-step explanation:

6k^2

------- = 2k; and:

 3k

-15k

------- = -5

 3k

-5 cannot be evenly divided by 3k, so there's a remainder instead.

6k^2 - 15k - 5

-------------------- = 2k -5 with remainder -5.

         3k

Answer:

2k

-5

Step-by-step explanation:

Answer:

A. y - x = -4

Step-by-step explanation:

y=x-4

To get infinite equations, the equation must be equal to y=x-4

We will solve each of these for y to see if they are identical

A. y - x = -4  

 Add x to each side

y-x+x = x-4

y = x-4

This is the same

It will give infinite solutions

B. y - x = -2

y-x+x = x-2

y =x-2

This is not the same.

It is parallel and will give no solutions

C. y - 4 = x

y-4+4 = x+4

y = x+4

This is parallel and will give no solutions

D. y + 4x = 1

y +4x-4x = -4x+1

This will intersect at a point

Answer: The correct answer is c.

Step-by-step explanation:

I just answered the question for school

Answer:

see explanation

Step-by-step explanation:

Given

3[tex]x^{4}[/tex] - 2x² + 15x² - 10

Factor the first/second and third/fourth terms )

= x²(3x² - 2) + 5(3x² - 2) ← factor out (3x² - 2) from each term

= (3x² - 2)(x² + 5)

Answer: (3x² - 2)(x² + 5)

Step-by-step explanation:

Answer:

[tex]\large\boxed{V_{pyramid}=\dfrac{1}{6}Bh=\dfrac{1}{6}V_{prism}}[/tex]

Step-by-step explanation:

[tex]B-\text{base area}\\h-\text{height of the prism}\\\dfrac{1}{2}h-\text{height of the pyramid}\\\\\text{The formula of a volume of a prism:}\\\\V_{prism}=Bh\\\\\text{The formula of a volume of a pyramid:}\\\\V_{pyramid}=\dfrac{1}{3}Bh\to V_{pyramid}=\dfrac{1}{3}B\left(\dfrac{1}{2}h\right)=\dfrac{1}{6}Bh=\dfrac{1}{6}V_{prism{[/tex]

Answer:

V = 1/6 BH

Step-by-step explanation:

the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6

Answer:

The correct answer is first option m<2 + m<3

Step-by-step explanation:

From the figure we can see a triangle with angles, <1, <2 and <3

By angle sum property we can write,

m<1 + m< 2 + m<3 = 180°

m<1 = 180 - (m<2 + m<3)   ----(1)

Also we  know that, <1 and <4 are linear pairs

m<1 + m<4 = 180°

m<1 = 180 - m<4   ---(2)

Compare (1) and (2) we get

m<4 = m<2 + m<3

Answer:

You answer would be A.

Step-by-step explanation:

m<2+m<3

Answer:

Step-by-step explanation:

[tex]\frac{5}{6} +\frac{1}{8} = \frac{20}{24} +\frac{3}{24} = \frac{23}{24}[/tex]

Answer:

23/24

Step-by-step explanation:

5/6 = (5×4)/(6×4)=20/24

1/8 = (1×3)/(8×3)=3/24

5/6 + 1/8 = 20/24 + 3/24 =23/24

Answer:

Step-by-step explanation:

A= 1 * 1 = 2

A2 = 1 * (1 * 1)

A2 = 1 * 1

A2 = 1

a3 = 1 * 1 * (1 * 1)

a3 = 1 *1 * 1

a3 = 1 * (1*1)

a3 = 1* 1

a3 = 1

You keep on going in this manner until you hit 1^65 = 1

The only thing you have to accept is that (1 * 1) = 1

Answer:

B x^9 ∛ y

Step-by-step explanation:

(x^27 y) ^ (1/3)

x^27^(1/3) y^(1/3)

We can distribute the exponent a^b ^c = a^(b*c)

x^(27*1/3) y^(1/3)

x^9 y^(1/3)

Answer:

2

Step-by-step explanation:

m² = 4² + 8²  

m² = 16 + 64

m² = 80

l² = k² + 4²

l² = k² + 16

m² + l² = (k + 8)²   m² = 80,  (b)

80 + k² + 16 = k² + 16k + 64

k² - k² - 16k = 64 - 80 -16

-16k = -32

k = -32/-16

k = 2

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Answer:

14 - [tex]\sqrt{23}[/tex]

Step-by-step explanation:

CD=22 => ED=11

AD=14 (radius). With Pythagorean theorem, [tex]AE^{2}[/tex]=[tex]AD^{2}[/tex]-[tex]ED^{2}[/tex] => AE = [tex]\sqrt{23}[/tex]

EB= AB-AE = 14 - [tex]\sqrt{23}[/tex]

The measure of EB from the expression is 5.34

The given diagram is A circle with the following sides

radius AB = 14

CD = 22

From the diagram, AB = AE + EB

Determine the measure of AE using Pythagoras theorem

AD² =AE² + ED²

14² = AE² + 11²

AE² = 14² - 11²

AE² = 196 - 121

AE² = 75

AE = √75

AE = 8.66

EB = AB - AB

EB = 14 - 8.66

EB = 5.34

Hence the measure of EB from the expression is 5.34

Answer:

Approximately 24 feet.

Step-by-step explanation:

Refer to the two diagrams attached (created with Geogebra.)

The wire between the speaker and the amplifier shall be routed along the wall. The length of the connection depends on the height of the point P at which the wire turns. Point P is shown in green in both diagrams.

To find the optimal position of that turning point, imagine that the two adjacent walls of the room are unfolded into two rectangles in the same plane (diagram 2.) Consider the claim: the shortest connection shall be a straight line that links the two devices when the two walls are unfolded. This explanation will show why this claim is true using the triangle inequality theorem.

Assume this claim is false: the connection will be even shorter if the wire turns at P', which is a point other than P. The length of the connection is now the sum of the two segments:

In contrast, if the wire is routed through point P, the length of the connection will simply be

Point P is on the line that connects the amplifier and the speaker in diagram 2. However, P' is a point other than P, meaning that P' is off the line between the speaker and the amplifier. It is thus possible for the following three points to form a triangle:

By the triangle inequality theorem, the sum of any two sides of a triangle is greater than the length of the third side. To make full use of this theorem, consider the length of the three sides in this triangle:

[tex]\left\{\begin{array}{ll}\left.\begin{aligned}&\text{distance between amplifier and P}'\text{.}\\&\text{distance between P}' \text{ and speaker.}\end{aligned}\right\}&\text{Length of the second connection}\\\text{distance between amplifier and speaker}\end{array}\right.[/tex].

The sum of the first two distances shall be greater than the third. In other words, the length of the connection through P' will be greater than the length of the connection through P. This fact contradicts the assumption that the original claim is false. In other words, the claim that P gives the shortest connection is true.

Find the length of the shortest connection using the Pythagorean Theorem. Refer to the second diagram, the connection is the hypotenuse of a right triangle with

The length of the connection (the hypotenuse) will be:

[tex]\sqrt{23^{2} + 7^{2}}\approx 24[/tex] feet.

Answer:

8t(t - 5)^2

Step-by-step explanation:

I would immediately rearrange these terms in descending order by powers of t:

8t^3 - 80t^2 + 200t

Then I'd factor out 8t:

8t(t^2 - 10 t + 25).

Finally, I'd factor the quadratic t^2 - 10 t + 25:

(t - 5)^2

and so 200t+8t^3-80t^2 in factored form is 8t(t - 5)^2.

Answer:

Step-by-step explanation:

It would be better to list the terms in descending order.

8t^3 - 80t^2 + 200t                  Take out a common factor of t

t(8t^2 - 80t + 200)                    Now take out 8

8t (t^2 - 10t + 25)                      Now factor the polynomial

8t(t - 5)(t - 5)

Step-by-step explanation:

you need to add together all the milkshakes sold and then add together the amount of money made and then divide the two numbers. i think this is right. hope i helped. i think your answer should be around 7 dollars for a milkshake.

The price of one chocolate shake is $9 if the milkshake vendor sells shakes in three different flavors: mango, strawberry, and chocolate option (D) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

A milkshake vendor sells shakes in three different flavors: mango, strawberry, and chocolate.

Let x be the price of one mango shake

Let y be the price of one strawberry shake

Let z be the price of one chocolate shake

From the question we can frame three linear equations in three variables:

16x + 13y + 29z = 419

26x + 19y + 45z = 649

6x + 11y + 0z = 96

After solving the above system of equations:

x = $5

y = $6

z = $9

Thus, the price of one chocolate shake is $9 if the milkshake vendor sells shakes in three different flavors: mango, strawberry, and chocolate option (D) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Answer:

B

Step-by-step explanation:

You are given two right triangles PQR and XYZ with PQ=12, PR=6, XY=4, XZ=2. Note that

[tex]\dfrac{PQ}{XY}=\dfrac{12}{4}=3\Rightarrow PQ=3XY\\ \\\dfrac{PR}{XZ}=\dfrac{6}{2}=3\Rightarrow PR=3XZ[/tex]

So, in these triangles:

Hence, by SAS theorem these triangles are similar.

SAS Similarity Theorem states that given two triangles are similar if their two sides are in proportion and their angles adjacent to these sides  have the same measure.

Answer:

no solutions

Step-by-step explanation:

12x + 1 = 3(4x + 1)

Distribute the 3

12x + 1 = 12x + 3

Subtract 12x from each side

12x-12x +1 = 12x-12x+3

1 =3

This is never true, so there are no solutions

Answer:

There are no solution

Step-by-step explanation:

A(B+C)=ab+ac

3(4x+1)=12x+1

12x+1=12x+3

Subtract by 1 both sides of equation.

12x+1-1=12x+3-1

Simplify.

3-1=2

12x=12x+2

Then subtract by 12x both sides of equation.

12x-12=12x+2-12x

Simplify, to find the answer.

0=2

The sides are not equal.

It's should be no solution.

No solution is the correct answer.

Answer:

0.6 ft

Step-by-step explanation:

The ratios of corresponding sides are equal, that is

[tex]\frac{2.3}{x}[/tex] = [tex]\frac{16.8}{4.5}[/tex] ( cross- multiply )

16.8x = 10.35 ( divide both sides by 16.8 )

x ≈ 0.6 ft ( to the nearest tenth )

Answer:

2x^2-4x=14

x^2-2x=7

x^2-2x+1=8

(x-1)^2=8

Answer:

4

Step-by-step explanation:

The mean of a set of data: (n₁ + n₂ + n₃...)/n, where n₁,₂,₃... are numbers in the set, and n is the number of numbers.

Plug in: (1 + 5 + 5 + 7 + 3 + 3 + 4)/7

Add: 28/7

Divide: 4

Answer:

4

Step-by-step explanation:

When finding the mean of a data set you add up all the numbers and divide it my how many numbers there is

1+5+5+7+3+3+4= 28

28 divided by 7 = 4

Mean of the set of data is 4

Hope this helps :)

if it does please mark brainliest :D

- A. Hazle <3

Answer:

AB is 6 units

Hope this helps

Step-by-step explanation:

The scale factor of the dilation is: 2.5.

The length of AB is: 6 units.

The scale factor of a dilation (reduction or enlargement) = dimension of new figure / corresponding dimension of original figure.

The scale factor of the image given = B'C'/BC

Scale factor = 9.5/3.8 = 2.5

To find the length of AB, divide the length of A'B' by the scale factor of the dilation.

AB = 15/2.5

AB = 6 units. (option A)

Learn more about scale factor on:

https://brainly.com/question/2826496

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Answer: π/180

Step-by-step explanation:

510 Degree (°) =. 8.90118 Radian (rad) Degree : A degree, a degree of arc or arc degree is a measurement of plane angle, on behalf of 1/360 of a full rotation. The symbol for degree is °. It is not an SI unit, however, it is accepted for use with SI. One degree is equal to π/180 radians.

Answer:

17pi/6 rad

Step-by-step explanation:

2 pi radians = 360 degrees

Divide both sides by 2.

pi radians = 180 degrees

From the statement above, you get the conversion factors:

(pi rad)/(180 deg) = (180 deg)/(pi rad) = 1

Both fractions above equal 1. Since multiplying by 1 does not change the number, multiply 510 deg by the fraction above that will cancel out degrees and will leave you with radians.

510 deg * (pi rad)/(180 deg) = 510pi/180 rad = 17pi/6 rad

Answer:

A

Step-by-step explanation:

a site called desmos, its a graphing calculator and you should use it :)

The function whose graph is given below is:

                    A)     [tex]y=3\sin (x-2)+1[/tex]

From the graph that is provided to us we observe that,

when x=2

then f(x)=1

Hence, we will check which function satisfies this point.

B)

[tex]y=3\cos(x-3)+1[/tex]

At x=2 we have:

[tex]y=3\cos (3-2)+1\\\\i.e.\\\\y=3\cos(1)+1\\\\y>1[/tex]

Hence, option: B is incorrect.

C)

[tex]y=6\sin (x-2)-2[/tex]

when x=2 we have:

[tex]y=6\sin (2-2)-2\\\\i.e.\\\\y=6\sin 0-2\\\\i.e.\\\\y=-2\neq 1[/tex]

Hence, option: C is incorrect.

D)

[tex]y=3\sin (x-2)+2[/tex]

when x=2 we have:

[tex]y=3\sin (2-2)+2\\\\i.e.\\\\y=3\sin 0+2\\\\i.e.\\\\y=2\neq 1[/tex]

Hence, option: D is incorrect.

So, we are left with option: A

A)

[tex]y=3\sin (x-2)+1[/tex]

when x=2

we get: y=1

Similarly all the other points are satisfied.

Also, the graph of this function matches the given graph.

That would be point A. Point A is inside the outer bigger circle AND the smaller inner circle

Hope this helped!

~Just a girl in love with Shawn Mendes

For this case we have that, if we look at the figure, we have two circles. The large circle is of radius AD = 6, while the small circle is of radius AB = 4.

We can see that point A is inside the small circle, since the small circle is inside the large one, so A is inside the two circles.

Answer:

Point A

Step-by-step explanation:

Subtract

2

x

from both sides of the equation.

y

=

4

−

2

x

x

−

y

=

2

Subtract

x

from both sides of the equation.

y

=

4

−

2

x

−

y

=

2

−

x

Multiply each term in

−

y

=

2

−

x

by

−

1

Tap for more steps...

y

=

4

−

2

x

y

=

−

2

+

x

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(

2

,

0

)

ANSWER

See attachment

EXPLANATION

The given inequality is

[tex]2x + y \: < \: 4[/tex]

To solve we need to graph this inequality.

To do that we graph the corresponding linear equation

[tex]y = - 2x + 4[/tex]

This is a straight line with slope

[tex]m = - 4[/tex]

and y-intercept (0,4)

The graph of this function is to the right of the origin.

The solution set of the corresponding inequality is the half plane that is shaded.

We plot the point (0,0) into the given inequality to determine which half plane must be shaded

[tex]2(0) + 0 \: < \: 4[/tex]

[tex]0 < 2[/tex]

This is true so we shade the lower half plane. The solution set is the lower half plane shaded in the attachment.

Note that the boundary line must be a dashed line because the inequality does not involve equal sign.