Solve by grouping 8x^3+3+6x^2+4x

Answer:

the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 27? The slope is –2, and the y-intercept is 9.

Step-by-step explanation:

hope this helps

Answer:

D is the answer

Step-by-step explanation:

The equation of the function is y = 4x + 5. Find the value of y when

x = 3

x = -2

y = 4x + 5 [Equation]

The value of y when x = 3 , x = -2

y = 4x + 5 [Given equation]

[tex] \therefore [/tex] When x = 3 ,

y = 4 × 3 + 5 [Value of x is 3]

y = 12 + 5

Again, when x = -2 ,

y = 4 × (-2) + 5 [Value of x is -2]

y = -8 + 5

Answer:

[tex](a)[/tex]

[tex]Pattern: 2187, 729, 243, 81, 27, 9,3, 1[/tex]

[tex](b)[/tex]

[tex]Pattern = 972,324,108,36[/tex]

Step-by-step explanation:

Given [Missing from the question]

[tex]Pattern: 2187, 729, 243, 81[/tex]

Solving (a): Continue the pattern using the divide by 3 rule

To do this, we simply divide the last term by 3, to get the next term.

So, we have:

[tex]81/3 = 27[/tex]

[tex]27/3 = 9[/tex]

[tex]9/3 = 3[/tex]

[tex]3/3 = 1[/tex]

So, the pattern is:

[tex]Pattern: 2187, 729, 243, 81, 27, 9,3, 1[/tex]

Solving (b): 4 terms of a different pattern using the same rule.

Let the first term be: 972

So, the next three terms is:

[tex]972/3 =324[/tex]

[tex]324/3 = 108[/tex]

[tex]108/3 =36[/tex]

So, the pattern is:

[tex]Pattern = 972,324,108,36[/tex]

Answer:

the first answer

Step-by-step explanation:

1/8 of the absolute value is 1/8 positive

anything from the absolute value is positive because absolute value is the value of how far away the number is from zero.

Answer:

-1/8

Step-by-step explanation:

Answer:

Given GP:

We see that:

Sum of  n terms:

Answer:

10/8      15/12   20/16,   25/20,   30/24,   35/28,   40/32, 45/36, 50/40, 55/44, 60/48, 65/52, 70/56, 75/60, 80/64, 85/68, 90/72, 95/76, 100/80

There are probably hundreds of fractions that are equivalent to 5/4 but i am going to list 3-

1. 10/8

2. 15/12

3. 20/16

Answer:

To the nearest cent, the accumulated amount over the 10 years is $5,752.67

Step-by-step explanation:

Here, we want to use the given formula to find the accumulated amount on the deposit/investment

we have this as follows;

A = P(1 + r/k)^kt

P is the amount invested which is the principal = $3,500

r is the interest rate = 5% = 5/100 = 0.05

k is the number of times interest is compounded yearly = 4

t is the number of years = 10

Substituting these values in the formula, we have;

A = 3500(1 + 0.05/4)^(4 * 10)

A = 3500 (1 + 0.0125)^40

A = 3500(1.0125)^40

A = $5,752.67

1.The Chord Intersection Theorem:

If 2 chords of a circle are AB and CD and they intersect at E, then

AE * EB = CE * ED.

Problem.

Two Chords AB and CD intersect  at E.  If AE =  2cm , EB = 4 and CE = 2.5 cm, find the length of ED.

By the above theorem : 2 * 4 = 2.5 * ED

ED = (2 * 4) / 2.5

= 3.2 cm.

2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.

2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.

3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.

A radius that meet the chord at center C, and divides it into two equal parts.

So that;

AC = CB = 5 units

Applying Pythagoras theorem to ΔOCB,

OC = d, CB = 5 units and OB = 13 units

=  +  

169 = 25 +  

169 - 25 =  

144 =  

⇒ d =  

      = 12 units

Therefore, the chord is at a distance of 12 units to the center of the circle

Answer:

a) Opposite sides are congruent and all interior angles are right angles, hence the quadrilateral is a rectangle

b) Opposite sides are parallel and all sides are congruent, hence the quadrilateral is a rhombus

c) All sides are congruent and all interior angles are right angles, hence the quadrilateral is a square

d) m∠AEB = 90° as the diagonals are perpendicular to each other

e) m∠EAD = 90°/2 = 45° as the diagonals of a square are bisectors of the angles at the vertices

Answer: d=2r

Step-by-step explanation:

The diameter is twice the size of the radius which is 2r

Answer:

60%

Step-by-step explanation:

Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.

They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:

6/10 = 0.60, or 60%

Tina has a 60% chance of drawing a nickel from her pocket.

~

Answer:

c- 6 Jwjwjwhwhwg Sorry I have to reach the number limit of 20 words

Answer:

C.6

Step-by-step explanation:

Hope this helped

Answer:

It occered 3 times.

Step-by-step explanation:

Answer: 250

Step-by-step explanation:

Given

12% of the Pizzas had extra cheese

If those pizzas were 30 in number

Suppose, x be the total Pizzas

So, 12% of x is 30

[tex]\Rightarrow x\times \dfrac{12}{100}=30\\\\\Rightarrow x=250[/tex]

Thus, 250 Pizzas were maid last week

Answer:

Step-by-step explanation:

1 unit left and seven units up. I got the answer right on Kahn

Answer:

integer

Step-by-step explanation:

it is an integer

Answer:

17.7

Step-by-step explanation:

Use a calculator.  Enter 3 and then √35.  The calculator should return

17.748.  Round this off to 17.7.

Answer:

17. 7 is the answer.

Step-by-step explanation:

Answer:

D. 24x + 16y

Step-by-step explanation:

Hope This Helps! : )

Answer:

y= 3x +2

Step-by-step explanation:

-10x-30y = 6

-30y = 10x +6

y = -1/3x - 1/5

m = -1/3 perpendicular slope would be 3

2x+9y = 18

2(0) +9y = 18

y = 2 = y intercept

y = 3x +2

3z + 2(z - 3) = 7z + 12

3z + 2(z - 3) = 7z + 12

3z + 2z - 6 = 7z + 12

3z + 2z - 7z = 12 + 6

5z - 7z = 18

-2z = 18

z = 18/2

z = 9

[tex] \\ [/tex]

Answered by - ItzAdmire

3z + 2(z - 3) = 7z + 12

3z + 2(z - 3) = 7z + 12

3z + 2z - 6 = 7z + 12

3z + 2z - 7z = 12 + 6

5z - 7z = 18

-2z = 18

z = 18/2

z = 9

[tex] \\ [/tex]

Answered by - ItzMaster

Answer:

x = 9.3

Step-by-step explanation:

tan 25° = x/20

0.4663 = x/20

x = 9.3

Answer:

B. 30 soda cans

Step-by-step explanation:

Range = max number - min number = 40 - 10 = 30

Answer:

4

Step-by-step explanation:

To Obtian the possible dimensions of the array :

List out the factirs of 54 and use a pair of each in multiplication to obtain 54 ; Theb number of multiplication pairs obtained is the number of possible dimensions of the array :

Factors of 54 : 1, 2, 3, 6, 9, 18, 27, 54

Muliplication pairs :

(6 * 9) = 54

(18 * 3) = 54

(27 * 2) = 54

(54 * 1) = 54

Hence, there are 4 possible dimensions of the array

The Answer would be C) 88

Answer:

Half of 8 is 4 and one third of 12 is 4

Step-by-step explanation:

I hope I answered your question

Answer:

H. 13.5 in²

Step-by-step explanation:

[tex]V=LWH/3[/tex]

[tex]V=(3)(3)(4.5)/3[/tex]

[tex]V=13.5 in^{2}[/tex]

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hope it helps...

have a great day!!

Answer:

Lateral Surface Area = 94.25 cm²

Surface area = 150.8 cm²

Step-by-step explanation:

A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?

Step 1

We have to find the radius of the cylinder

We are told in the question that:

The circumference of one circle is 18.84 cm

Circumference of a circle = 2πr

18.84cm = 2πr

r = 18.84/2π

r = 2.9984791279cm

Approximately the radius = 3cm

Step 2

We find the Lateral Surface Area of the Cylinder

The formula =2πrh

r = 3cm

h = 5cm

=2×π × 3 × 5

= 94.24778 cm²

Approximately = 94.25 cm²

Step 3

We find the Surface Area of the Cylinder

The formula =2πr(r + h)

r = 3cm

h = 5cm

=2×π × 3 × 5(3 + 5)

= 150.79645 cm²

Approximately = 150.80 cm²