What is the recursive formula for the geometric sequence ? 6,-24,96,-384,...

Answer:

Step-by-step explanation:

RHS means on the right hand side

And LHS means on the left hand side

So if x is one the right side of the expression ,it is on the RHS and if it is on the left side of the expression , it is on the LHS

Answer:

A.

Step-by-step explanation:

[tex]\sqrt{10} *\sqrt{8}\\ \sqrt{10}*\sqrt{2*4}\\\sqrt{10}*2\sqrt{2}\\2\sqrt{2*10}\\2\sqrt{20}\\ 2\sqrt{4*5} \\4\sqrt{5}[/tex]

Answer:

11 gallons

Step-by-step explanation:

We can set up a proportion.

g represents gallons of punch.

24/144=g/66

We can simplify the left side:

1/6=g/66

We cross multiply.

6g=66

g=11

You need 11 gallons of punch to serve 66 guests!

Answer:8

Step-by-step explanation:area of the triangles is each 2 and the square is 4

Answer:

8 units²

Step-by-step explanation:

we have a trapezium

A = (b+B)×h/2

b = 2

B = 2+2+2 = 6

h = 2

A = (2+6)×2/2 = 8 units²

Answer:

Step-by-step explanation:

Given the function

[tex]C(x) = 1000 +5.70x + 7x^2[/tex]

To get the instantaneous rate of change with respect to x, when x= 100

we have to substitute x= 100 in the given function and solve.

we have

[tex]C(x) = 1000 +5.70(100) + 7(100)^2\\\\C(x) = 1000 +5.70(100) + 7(100)^2\\\C(x)= 1000+570+7*10000\\\\C(x)= 1570+70000\\\\C(x)= 71570[/tex]

Answer: 159.7

Step-by-step explanation:

Answer:

y = (-1/2)x - 3

Step-by-step explanation:

The line y = 2x - 6 has a slope of 2 and so any line perpendicular to it has a slope which is the negative reciprocal of 2:  -1/2.

If this perpendicular line passes through (0, -3), then the slope-intercept equation y = mx + b becomes -3 = (-1/2)(0) + b, or -3 = b, and the desired

equation is

y = (-1/2)x - 3

Answer:

D). 19

Step-by-step explanation:

When you subtract

7 - 26 = 19

26 - 45 = 19

45 - 64 = 19

64 - 83 = 19

The common difference is 19

Answer:

X=36

Step-by-step explanation:

3x+72=180

3x=180-72

3x=108

x=36

Answer:

C

Step-by-step explanation:

A. (4, 0) and (4, 3) have the same x coordinate (Can't happen in a function).

B. (2, 5) and (2, 1) have the same x coordinate.

C. It passes the vertical line test on a graph and no x is repeated.

D. (2, 3) and (2, 5) share the same x coordinate.

Answer:

c is correct answer.

a function from set A (x coordinate) to set B (y coordinate) a special type of relation defined from set A to set B if every element of set A is mapped with unique element of set B.

Answer: 22.4

Step-by-step explanation:

The distance formula can be used to solve this problem.

[tex]D=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1} )^2}[/tex]

We can plug in our x and y values to find the distance.

[tex]D=\sqrt{(14-4)^2+(-11-9)^2}[/tex]

[tex]D=\sqrt{10^2+(-20)^2}[/tex]

[tex]D=\sqrt{100+400}[/tex]

[tex]D=\sqrt{500}[/tex]

[tex]D=22.4[/tex]

Our distance between the points is 22.4.

Answer:

Third zero is -1.

Step-by-step explanation:

consider the given polynomial is  

[tex]P(x)=x^3+5x^2+7x+3[/tex]

It is given that -1 and -3 are two zeroes, therefore (x+1) and (x+3) are two factors of given polynomial.

The given polynomial can be rewritten as

[tex]P(x)=x^3+x^2+4x^2+4x+3x+3[/tex]

[tex]P(x)=x^2(x+1)+4x(x+1)+3(x+1)[/tex]

[tex]P(x)=(x+1)(x^2+4x+3)[/tex]

Now, splitting the middle term, we get

[tex]P(x)=(x+1)(x^2+3x+x+3)[/tex]

[tex]P(x)=(x+1)(x(x+3)+1(x+3))[/tex]

[tex]P(x)=(x+1)(x+1)(x+3)[/tex]

[tex]P(x)=(x+1)^2(x+3)[/tex]

Here, power of (x+1) is 2. It means the multiplicity of zero -1 is 2.

So, three zeroes are -1, -1 and -3.

Therefore the third zero is -1.

Answer:

Step-by-step explanation:

Lets start by defining the numbers in the equation.

This  equation is in slope-intercept form meaning that it is y=mx+b or y = b+mx they are both the same

In slope-intercept form,

Th equation is y=400+32x so now we know

For the first question the change per minute is the rate so it is 32.

For the second question the starting amount is the same as the y-intercept so it is 400.

Answer:

D. plane

Step-by-step explanation:

A. is incorrect because three points don't make a point.

B. is incorrect because all points in a ray are colinear.

C. is incorrect because the three points are not colinear.

D. is correct because, for a given three different points, there is a plane that contains them.

Answer:

D

Step-by-step explanation:

Answer:

UV and WV

Step-by-step explanation:

Answer:

A. III only

Step-by-step explanation:

In mathematics, an identity is one of the characteristics of algebraic expressions.

Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.

Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.

In the above question, we are given 3 Options.

I) 3(5 + 2x) = 15 + 6x

II) y = x + 3

III) (x² - y²) = (x + y) (x - y)

Option I) 3(5 + 2x) = 15 + 6x

Is showing distributive property in mathematics.

Distributive property is :

a(b + c) = ab + ac

Option I is not an identity , therefore it is wrong.

Option II) y = x + 3 is just an algebraic expression.

Only Option III is an identity. This is because it follows the rule of

(a² - b²) = (a + b) (a - b)

We can prove and confirm this be solving the algebraic expression

(x + y) (x - y)

We expand the bracket

x² - xy +xy - y²

x² - y²

Therefore, option A is the correct option.

Answer:

x=56 degrees interior angle of regular hexagon is 60 degrees

Step-by-step explanation:

The sum of the angles in a hexagon is 720.  So the size of an angle in a regular hexagon is 120 degrees.

angle BCA + angle x + angle DCE are equal to 180 degrees when added together.

We can use base angles theorem to find angle DCE : 180-32 = 148 148/2 = 74

Now we know that angle BCA + angle x = 180-74= 106 degrees. Since ABC is equilateral we alread know angle BCA is 60 degrees.  Now we can find x from doing 106-60 which equals 56 degrees.

x=56

Answer:

need points sorry

Step-by-step explanation:

Answer:

The baby grows at an average of 1.5 pounds each month.

Step-by-step explanation:

I got this correct on my quiz.

Answer:

-4x  = 7

3x+5y = -9

Step-by-step explanation:

This is an augmented matrix which means the solution to the equations are on the right hand side

-4x +0y = 7

3x+5y = -9

We can remove the 0 term

-4x  = 7

3x+5y = -9

Answer:

Quadrant 2

Step-by-step explanation:

The answer is quadrant two because the answer is in the form of -x,y. When the x is negative and the y is positive, it is always going to be in quadrant 2. As you can see in the image below, quadrant 1 is going to be all positive, quadrant two is going to be negative then positive, quadrant three is going to be all negative, and quadrant 4 is going to be positive then negative. Use this as a guide for the rest of your question. I hope this helps!

Answer:

V =1620 pi  cm^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = pi ( 9)^2 * 20

V =1620 pi  cm^2

Answer:

3.5

Step-by-step explanation:

tell me if im right

Answer:

a- 6/18 or 1/3

 the number of red counters/ the total number of counters

b-14/18 or 7/9

 the number of counters that are not blue/ the total number of counters

good luck

Answer:

A.

3x + 3y = 0

7x − y = 8

Step-by-step explanation:

Given

3x + 3y = 0

-4x + 4y = -8

Required

Find the equivalent

To solve for the equivalent we simply solve for x and y in the given equation.

Subtract 3x from both sides in 3x + 3y = 0

3x - 3x + 3y = 0 - 3x

3y = -3x

Multiply both sides by ⅓

⅓ * 3y = -3x * ⅓

y = -x

Substitute -x for y in -4x + 4y = -8

-4x + 4(-x) = -8

-4x -4x = -8

-8x = -8

Multiply both sides by -⅛

-⅛ * -8x = -⅛ * -8

x = 1

Recall that y = -x

y = -1

So, we have that x = 1 and y = -1

We'll substitute these values in the list of options;

A.

3x + 3y = 0

7x − y = 8

7(1) - -(1) = 8

7 + 1 = 8 ----- This is equivalent

B.

3x + 3y = 0

−7x − y = 8

-7(1) - (-1) = 8

-7 + 1 = 8

-6 ≠ 8 .... This is not an equivalent expression

C.

3x + 3y = 0

−7x + 7y = 8

-7(1) + 7(-1) = 8

-7 -7 = 8

-14 ≠ 8 .... This is also not an equivalent expression

D.

3x + 3y = 0

-4x + 7y = 8

-4(1) + 7(-1) = 8

-4 -7 = 8

-11 ≠ 8 -_- This is also not an equivalent expression

Answer:

A is the correct one

Step-by-step explanation:

Answer: 2 <= X <= 5

Step-by-step explanation:

Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days.

And no less than 2 days per week. That is, greater than or equal to 2 days.

Let X be the number of days employee can work. Then, according to the first statement, X <= 5 and according to the second statement, X >= 2

An inequality to represent the range of days an employee can work will be

2 <= X <= 5

Therefore, an employee can work for 2 days, 3 days, 4 days and 5 days

Answer:

1) x=70

2) x=70

3) x=155

4) x=24

5) x=40

Step-by-step explanation:

1) 180-105=75

alternate interior tells us the top will be 35

180-75-35=70

2) Alternate interior tells us the second angle in the first triangle = 60

180-50-60=70

3) The third angle in the top triangle is found by 180-90-35=55

Using this we can find the top angle of the bottom triangle by 180-60-55=65

Then we can find the bottom angle of the bottom triangle with 180-65-90=25

This means that x=180-25=155

4) The bottom angle on the right is 180-94-41=45

That means that x=180-111-45=24

5) x=180-50-90=40

I think its ƒ(x) = 1∕2(x – 2)2 + 1

The function that represents a parabola with vertex at (2,1) and y-intercept (0,3) is f(x) = - x² + 4x - 3.

What is general equations of parabola?

The general equation of a parabola is given by

⇒ y = a(x – h)² + k

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

According to the question,

⇒ y = a(x – h)² + k

⇒ (h,k) = (2,1)

⇒  y = a(x – 2)² + 1

T find the value of a,

⇒ - 3 = 4a + 1

⇒ a =-1

⇒  y = -1(x – 2)² + 1

⇒ y = -(x² + 4 - 4x) + 1

⇒ y = -x² + 4x - 3

Hence the required function is y = -x² + 4x - 3.

To learn more on equation of parabola click :

https://brainly.com/question/4074088

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Answer: C. (1, 4)

Step-by-step explanation:

The point where the two lines meet or intersect is the solution to the system of equations graphed. And in this case, the lines intersect at (1, 4).

Answer:

Let humans be x and horses be y

Both have one head each,so x+y=74 (1)

Humans have 2 legs each and horses 4 legs each…… so 2x+4y=196 (2)

In first equation x+y=74 then y=74~x (3) ……… .By solving both equations we have as under… x+3y=122 x=122-3y (4)…. Now in equation 4 we put the value of y taken from equation 3 so it will be x=122~3(74-x)…. x=122-222+3x…………. bringing x on one side x-3x=122~222 therefore -2x=~100….. x=50… put the value of x in first equation… x+y=74… 50+y=74… y=74~50…..… y=24… Now it is concluded that Humans are 50 and Horses are 24.. Now you put the values of x & y in 1st and 2nd equation … you will get x+y=74.. 50+24=74………..2x+4y=196…2×50+4×24=196.. it is proved thru equation.

Answer:

x = 6

Step-by-step explanation:

3x - 2 = 16

3x = 16 + 2

3x = 18

x = 18/3

x = 6

Answer:

x=6

Step-by-step explanation:

3x-2=16

+2      +2

3x = 18

÷3    ÷3

x=6