Mathematics College

3. The sum of the second and third terms of a Geometric Progression is 48. If the sum of third and fourth terms is 144, find the first term of the progression.

Answers

Answer 1

Answer:

gọi

Step-by-step explanation:

Answer 2

We have that the  first term of the progression is

b=4

From the Question we are told that

Third terms of a Geometric Progression is 48

Sum of third and fourth terms is 144

[tex]x_3+x_4=144[/tex]

Generally the equation for the common ratio  is mathematically given as

   [tex]\frac{br^2+br^3}{br+br^2}=\frac{144}{48}\\\\\frac{br^2+br^3}{br+br^2}=3[/tex]

  r=3

Therefore

Since

   [tex]br+br^3=48\\\\b(3)+b(3)^3=48[/tex]

  b=4

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Related Questions

Complete the sequence given below:
2,2,5,13,28,?

Answers

Answer:

52

Step-by-step explanation:

Answer for this question as follows

2–2=0

5–2=3

13–5=8

28–13=15

As we observe the difference of the difference is

3–0=3

8–3=5

15–8=7

Here the differnce is increasing by two

X-15=7+2=9

X=24

So the required answer is 28+24=52


What is the value of 24 : 48?

Answers

Answer:

1/2

Step-by-step explanation:

..

Find the unit rate 47.2 meters in 4 seconds
pls help guys

Answers

Answer:

47.2 divided by 4 = meters per second

47.2 / 4 = 11.8

11.8 mps

How many inches? thank you for your time.

Answers

Answer:

the answer is 6.5 because 8 1/2 - 15 is 6 1/2 or 6.5

Solve the following absolute value equation. If needed, write your answer as a fraction reduced to lowest terms.

||5y−6||=||4y+4||

Answers

photomarh…. Legit download it ASAP. looks like you need it

Find the zeros of ƒ(x) = x3 + 6x2 + 8x.

Answers

Answer:

-4, -2, 0

Step-by-step explanation:

[tex]x^3+6x^2+8x=0\\\\x(x^2+6x+8)=0\\\\x(x+4)(x+2)=0\\\\x=0\\x=-4\\x=-2[/tex]

PLEASEEEEEEEEEEEE HELPPPPPMMEHHHHHHHHHHHHHH

Answers

Answer: for the first one it is line g

the second one is the 4th one

the third one is the bottom two

Step-by-step explanation:

Estimate the difference.

182 - 56

A. 120
B. 130
C. 110
D. 150

Answers

Answer:

Estimate by rounding

182 to 180

56 to 60

180 - 60 = 120

Answer:

130 is the answeerrr

Step-by-step explanation:

ESTIMATION

y + (−14) when a y=−33 b y=30

Answers

Answer:

a) When y = -33,

=> -33 + (-14)

=> -33 - 14

=> -47

b) When y = 30,

=> 30 + (-14)

=> 30 - 14

=> 16

Solve x – 14=12 for x.

Question 3 options:

x=14

x=36

x=58

x=34

Answers

X =26 I know it’s not on the but that’s the right answer

Answer:

x = 26

Step-by-step explanation:

[tex]x - 14 = 12[/tex]

[tex]x - 14 + 14 = 12 + 14[/tex]

[tex]x = 12 + 14[/tex]

[tex]\boxed{\green{x = 26}}[/tex]

f(x) = | 3x +4 |+2
g(x)=4
Find (f +g)(x)

Answers

Answer:

First, we can find the formula for the subtraction without substitution:

f

(

x

)

−

g

(

x

)

=

(

3

x

−

4

)

−

x

2

We can now substitute the values for the functions:

f

(

3

)

−

g

(

2

)

=

(

(

3

×

3

)

−

4

)

−

2

2

We can now solve the equation:

f

(

3

)

−

g

(

2

)

=

(

9

−

4

)

−

4

f

(

3

)

−

g

(

2

)

=

5

−

4

f

(

3

)

−

g

(

2

)

=

1

Answer link

Find the area of a triangle with a base of 6 m and a height of 5 m.

Answers

Answer:

15

Step-by-step explanation:

given,

height= 5m

base=6m

area of triangle =?

now,

area of triangle =1/2 b×h

=1/2× 6×5

=1/2 ×30

= 15,,

Area of a triangle＝1/2×base×height
Area＝1/2×6×5
Area＝15

Hope my answer helped u :)

Which of the following is not a rational number? (Select all that apply.)
6.725


0.0625


2.713

0.65

Answers

Answer:

Step-by-step explanation:

All of them are rational.

Irrational numbers go on forever, like 10/3=3.33333333...

Pi is an irrational number because it goes on forever.

If AB= x+4, BC=2x-10, and AC=2x+1, then find the value for x

Answers

Answer:

[tex] \boxed{x = 7} [/tex]

Step-by-step explanation:

Given:

AB = x + 4BC = 2x – 10AC = 2x + 1

We can illustrate this relationship as:

(2x + 1)

___↑___

| |

A — B — C

|____|___|

↓ ↓

(x + 4) (2x – 10)

_______________________________

When you are given an algebraic expression for the length of a segment, you can solve for that value by knowing that the sum of two segments AB + BC = AC.

Thus:

(x + 4) + (2x – 10) = (2x + 1)

[Regroup terms]

(x + 2x) + (4 – 10) = (2x + 1)

[Simplify]

(3x – 6) = (2x + 1)

[subtract 2x from both sides to isolate the variable]

(3x – 6) – 2x = (2x + 1) – 2x

[Regroup terms]

(3x – 2x) – 6 = (2x – 2x) + 1

x – 6 = 1

[Add 6 to both sides to isolate the constant]

x – 6 + 6 = 1 + 6

[Simplify]

x = 7

The sale price of a laptop bag is $35.00. This is 80% of the original price.

What was the original price of the laptop bag?

Answers

Answer:

$43.75

Step-by-step explanation:

(35/8)x10=43.75

3.568409 rounded to the nearest hundredth

Answers

Answer:

3.57

Step - step

So the hundredth is the 6

you need to look the next number after 6

it is 8 which is more than 5 so

the hundredts number which is 6 need to plus one(+1)

3.56 + 0.01

= 3.57

and the number after seven No need to do it

Decide whether a line with the given slope slants upward or downward from left to right, or if it is horizontal or vertical.
m=0
..
Choose the correct answer below.
O A. The line slants upward from left to right
OB. The line is horizontal,
OC. The line is vertical.
OD. The line slants downward from left to right.

(Answer quickly)

Answers

[tex] \large \mathfrak{Answer : }[/tex]

Slope of a function is 0, which depicts that it is a line parallel to x - axis, hence it will be a horizontal line .

Therefore, correct option is

B. The line is horizontal.

the distance between towns is 924 miles. On a map, this represented by a length of 7 inches. On the same map how many inches would there be between two cities 1584 miles apart.

Answers

Answer: 12 inches

Step-by-step explanation:

1: place the units in the ratios (make sure they match, you should label the numbers in your work so you know put the units in right unlike what i did in my work) and cross multiply

2: divide both sides by 924 in. to get x by itself

3. x = 12 in.

if a + 1 by a is equal to 3 find the value of bracket a minus 1 by a bracket square​

Answers

Hey there!

Given,

a+1 = 3

To find:

(a - 1)^2

[tex] {a}^{2} - 2.a.b + {b}^{2} \\ \\ a - 2a + 1 \\ \\ 1 + 1 = 2[/tex]

So, the answer is 2

Hope it help you

Is - 2x + 5 + 8x = 1 + 6 + 6x a all real number or a no solution or is it a one solution thankss

Answers

Answer: A no solution.

0=2

Step-by-step explanation: -2x+5+8x=+1+6+6x                                                 (−2x+8x)+(5)=(6x)+(1+6)                                                                                 6x+5-6x=6x+7-6x                                                                                                 5-5=7-5                                                                                                               0=2                                                        

what is the value of v if 13v = 65

Answers

Answer:

[tex]v=5[/tex]

Explanation:

The equation is asking for multiplication (13 * v), and the opposite of multiplication is division. So if we divide 65 by 13, we find 5.

13 * 5 = 65

Answer:

v = -5

Step-by-step explanation:

1. Pull out like factors :

  -13v - 65  =   -13 • (v + 5)

2. Solve :    -13   =  0

This equation has no solution.

A a non-zero constant never equals zero.

3. Solve  :    v+5 = 0

Subtract  5  from both sides of the equation :

                     v = -5

How far does a sailboat travel on a 3.5 cruise it is avenge spent is 18.6 mph?
a. 6.51
b. 14.88
c. 54.1
d. 65.1​

Answers

The answer is d, 65.1. 18.6•3.5=65.1

Integers bigger than 3 and smaller than 10

Answers

Answer:

There are 6 integers in-between 3 & 10

Explanation:

Integers are simply whole numbers.

4,5,6,7,8,9.

Given U=0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A=0, 2, 4, 6, 8, and B=1, 3, 5, 7 find n(A)

Answers

Answer:

n(A) can also be known as cardinal number or the total number of elements in A

n(A) = 5

Is -9x + 3 = -3 (3x-1) a one solution or a no solution or is it a real number

Answers

Answer: A real number.

0=0

Step-by-step explanation: −9x+3=(−3)(3x)+(−3)(−1)                               −9x+3+9x=−9x+3+9x                                                                                                   3-3=3-3                                                                                                                    0=0                                                                    

Please please please help!! I don’t understand at all and it’s my last question thank you so much and I’ll give brainliest

Answers

B Answer:

{a, c, e, i, l, m, n, o, s, t, y}

Can someone please help me please?

Answers

Answer:

try b if it's wrong I'm sorry but I did that exact test and I have those answers try b

Find the inverse function f -1(x) for the given function f(x). f(x) = x + 1/8

Answers

Answer:

f⁻¹(x) = 8x - 1

Step-by-step explanation:

Swap the positions of y (f(x)) and x and solve for y.

[tex]x=\frac{y+1}{8}\\\\8(x)=\frac{y+1}{8}(8)\\\\8x=y+1\\\\8x-1=y+1-1\\\\8x-1=y[/tex]

What is the circumference of a circle with a diameter of 2.9cm

Answers

Answer: The circumference would be about 9.11 cm.

Explanation:

Using the formulas
C=2πr
d=2r

Solving forC

C=πd=π·2.9≈9.11062cm

Find (fog)(x) and (gof)(x). f(x) = 7x-7, g(x) = 4 - 2x



pleaseee helppp​

Answers

Answer:

[tex](fog)(x) = f(g(x)) \\ = 7(4 - 2x) - 7 \\ = 28 - 14x - 7 \\ = 21 - 14x \\ = - 14x + 21[/tex]

[tex](gof)(x) = g(f(x)) \\ = 4 - 2(7x - 7) \\ = 4 - 14x + 14 \\ = 18 - 14x \\ = - 14x + 18[/tex]

I hope I helped you^_^

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