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2 years ago

2g + h =2g -h= -5find g and h step by step explanation

Mathematics

1 answer:

wel2 years ago

6 0

Answer:

Step-by-step explanation:

2g + h = 2 --------------(I)

g - h = -5------------(II)

g = -5 + h

Plugin g = -5 + h in equation (I)

2(-5 + h) + h = 2 {Distributive property:a(b+c) = a*b +a*c}

(-5)*2 + h *2 + h= 2

-10 + 2h + h = 2

3h = 2 + 10

3h = 12

h = 12/3

h = 4

Substitute h= 6 in equation (I)

2g + 4 = 2

2g = 2 - 4

2g = -2

g = -2/2

g = -1

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3 years ago

Which graph represents the sequence: 1/2, 1, 2, 4, 8...?

Aleonysh [2.5K]

The graph represents the sequence is Option D.

<h3>Further explanation </h3>

A function defined in the set of natural numbers is called a sequence.

Allow $\boxed{a_n \ as \ n^{th} \ term}$ , or general term.

In a sequence, n should always represent a natural number, i.e.,

n > 0, n = 1, 2, 3, ...,

but the value of $\boxed{a_n}$ may be any real number depending on the formula for the general term of the sequence.

A sequence is considered geometric if the ratio between each consecutive term is common.

In our problem, the sequence is $\boxed{ \ \frac{1}{2}, 1, 2, 4, 8, ... \ }$

The ratio of each term $\boxed{a_{n+1}}$ to the previous term $\boxed{a_n}$ is equal 2, so we can formalize the sequence as

$\boxed{\frac{a_{n+1}}{a_n} =2}.$

The consecutive terms of the sequence have a common ratio r = 2, so this sequence is geometric.

The general term of a geometric sequence $\boxed{a_n}$ with common ratio r is $\boxed{\boxed{ \ a_n = a_1 \cdot r^{n-1} \ }}.$

Presently we go back to the question. The graph shows the horizontal axis as n and the vertical axis is the general term $\boxed{a_n}$ . The relationship between n, the terms, and the coordinates as written below:

$\boxed{n = 1 \rightarrow the \ 1st \ term \ a_1 = \frac{1}{2} \rightarrow \bigg( 1, \frac{1}{2} \bigg)}$

$\boxed{n = 2 \rightarrow the \ 2nd \ term \ a_2 = 1 \rightarrow (2, 1)}$

$\boxed{n = 3 \rightarrow the \ 3rd \ term \ a_3 = 2 \rightarrow (3, 2)}$

$\boxed{n = 4 \rightarrow the \ 4th \ term \ a_4 = 4 \rightarrow (4, 4)}$

$\boxed{n = 5 \rightarrow the \ 5th \ term \ a_5 = 8 \rightarrow (5, 8)}$

Therefore, the graph representing the sequence is Option D.

The general term of a geometric sequence is exponential.
From the common ratio (r > 1) and graph, the type is an increasing sequence.

<h3>Learn more </h3>

Combining two functions to create a geometric sequence brainly.com/question/1695742
A word problem about arithmetic and geometric sequences brainly.com/question/3395975
Drawing graph of the geometric sequence brainly.com/question/3166290

Keywords: which, the graph, geometric sequences, common ratio, general term formula, natural numbers, The consecutive terms, arithmetic

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3 years ago

X + 1/6 =6 solve the equation

olga nikolaevna [1]

X=35/6 i hope i helped :-)

5 0

3 years ago

Read 2 more answers

Determine the x and y intercepts for the line 3x – 5y + 15 = 0. Show your work.

iragen [17]

Answer:

Step-by-step explanation:

The x and y intercepts occur when either x or y = 0

For the y intercept, x = 0

3(0) - 5y + 15 = 0

- 5y + 15 = 0 Subtract 15 from both sides.

-5y = - 15 Divide by - 5

-5y / -5 = - 15/-5

y = 3

For x intercept, y = 0

3x - 5(0) + 15 = 0

3x + 15 = 0 Subtract 15 from both sides

3x = - 15 Divide by 3

3x/3 = - 15/3

x = - 5

xintercept = (-5,0)

yintercept = (0,3)

3 0

2 years ago

A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^

Tomtit [17]

Answer:

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2% 2.2/100 =0.022

time t= 18years

by applying the expression

$V = Pe^{rt}$

We have

$V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90$

Hence after 18years the money in the account will be $430.90

8 0

3 years ago

2g + h =2g -h= -5find g and h step by step explanation​

2g + h =2g -h= -5find g and h step by step explanation