Step-by-step explanation:
<u>Break down the word expression:</u>
The sum of 5 and b divided by two
the sum (+) of 5 and b (5 + b) divided by 2.
<u>Expression:</u>

Parentheses represent that we need to add first, in order to divide the sum by 2.
Answer:
Linear decreasing
Step-by-step explanation:
we know that
In the interval A we have a linear increasing function, because is a line and the slope is positive (as the value of x increases the value of y increases and as the value of x decreases the value of y decreases)
In the interval B we have a linear constant (the value of y is the same for all values of x)
In the interval C we have a linear decreasing function, because is a line and the slope is negative (as the value of x increases the value of y decreases and as the value of x decreases the value of y increases)
In the interval D we have a linear increasing function, because is a line and the slope is positive (as the value of x increases the value of y increases and as the value of x decreases the value of y decreases)
therefore
Interval C is a linear decreasing
Since we are given that the relationship between x and y
is linear. Therefore this means that the given equation takes the form of:
y = m x + b
where,
b is the y intercept of the equation
m is the slope of the equation
However we should take note that the slope m is directly
proportional to the coefficient of correlation. Since our coefficient of
correlation is negative, this only means that the value of y is decreasing with
increasing x, hence plot of y and x is descending with increasing x.
Furthermore, this also tells that for every 1 unit increase of x, there is a
0.75 units decrease of y.
Step-by-step explanation:
We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,
→ (a + b)² = a² + b² + 2ab
→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)
We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)
Solve the brackets, to do so first put the like terms in one box.
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)
Solve the rest calculations.
→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)
→ (2√5 + 3√2)² = 38 + 12√10
Option (a) (38 + 12√10) is the correct option.
Answer:
1125.67
Step-by-step explanation: