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2 years ago

Evaluate b - (-1/8) + c where b = 2 and c = - 7/4

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

8 0

Answer:

3/8 = 0.375

Step-by-step explanation:

Substitute the values of b and c

2+1/8-7/4

16/8 + 1/8 - 14/8= 3/8

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Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence

11111nata11111 [884]

The given sequence is not arithmetic sequence

Solution:

Given sequence is:

$\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}$

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

Here in the given sequence

$\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}$

Let us find the difference between terms

$a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}$

$a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}$

$a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}$

$a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}$

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

5 0

2 years ago

Solve the equation (linear equation) <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7

Minchanka [31]

Answer: $x=-1$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

Therefore, you can rewrite the left side of the equation has following:

$(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}$

Descompose 32 and 8 into its prime factors:

$32=2*2*2*2*2=2^5\\8=2*2*2=2^3$

Rewrite:

$(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}$

Then:

$(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}$

As the base are equal, then:

$-3(2x+7)=5(3x)$

Solve for x:

$-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1$

8 0

2 years ago

Find the equation of the line The line has a slope of 1.3 and passes through the point (-2.3, -3.2)

irga5000 [103]

Answer:

y=1.3 x - 0.21

Step-by-step explanation:

$y = (slope) \times x + (constant)$

set (-2.3,-3.2) in above

$- 3.2 = 1.3 \times ( - 2.3) + c$

then c=-0.21

3 0

2 years ago

3y=2x+3 Solve for y :D

In-s [12.5K]

Answer:

y = 2x/3 + 1

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers

PLEASE HELP I will give you a brainliest

Fed [463]

Answer:

when x = -1, y = -3

when x = -1, y = -1

when x = -1, y = 1

when x = -1, y = 3

Step-by-step explanation:

x = -1; plug in y = 2(-1) - 1 = -2 - 1 = -3

x = 0; plug in y = 2(0) - 1 = 0 - 1 = -1

x = 1; plug in y = 2(1) - 1 = 2 - 1 = 1

x = 2; plug in y = 2(2) - 1 = 4 - 1 = 3

3 0

2 years ago