Answer:
a and b are positive
Step-by-step explanation:
We are given that
We have to find that a and b are positive or negative.
We have
It means b is positive and greater than 4.
Adding 3 on both sides
Hence, a is positive and greater than 4.
Therefore, a and b are positive
Answer:
<h3>Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half)</h3>
Step-by-step explanation:
Given the expression
- 2 (x + 3) = - 10
The first step in solving the expression is to multiply both sides by -1/2 as shown;
-1/2(-2)(x+3) = -1/2(-10)
(x +3) = 1/2(10)
x + 3 = 5
x = 5-3
x = 2
Hence the correct option is Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half)
Answer:
140
Step-by-step explanation:
The arithmetic series is 5, 7, 9, 11, ........., 23.
First u have to determine the no. of terms that can be done by using
Tₙ = [a + (n - 1)d]
Tₙ-------nth term
a---------first term
n---------no.of terms in the series
d---------common difference
here a = 5,d = 2.
let it contain n terms Tₙ= [a + (n-1)d]
Substitute Tₙ, a, and d in the equation
23 = 5 + (n - 1)2
Subtract 5 from each side.
18 = (n-1)2
Divide each side by 2
(n - 1) = 9
Add 1 to each side
n = 9 + 1 = 10
The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]
Substitute Sₙ, a, n and d in the equation
Sₙ= (10/2)[2(5) + (10-1)2]
Sₙ= (5)[10 + (9)2]
Sₙ= 5[10 + 18]
Sₙ= 5[28] = 140
Therefore the sum of the arithmetic sequence is 140.
Note the equal sign. What you do to one side, you do to the other.
Isolate the variable. Divide 4 from both sides
(-52)/4 = (4m)/4
m = -52/4
m = -13
-13 is your answer for m
hope this helps