Answer:
f(-8) = 45
Step-by-step explanation:
Step 1: Define
f(x) = -6x - 3
x = -8
Step 2: Substitute and Evaluate
f(-8) = -6(-8) - 3
f(-8) = 48 - 3
f(-8) = 45
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Answer:
The linear equation in two variables is 5u - 8v = 150 .
Step-by-step explanation:
As given
The cost of 5 tables exceeds the cost of 8 chairs by Rs150 .
Let us assume that the cost of one table be u .
Let us assume that the cost of one chairs be v .
Than the equation becomes
5u + 150 = 8v
Simplify the above equation
5u - 8v = 150
Therefore the linear equation in two variables is 5u - 8v = 150 .
Answer:
A
Step-by-step explanation:
We want to solve the equation:
To do so, we can rewrite the equation.
Recall the double-angle for sine:
By substitution:
Distribute:
We can subtract 3cos(x) from both sides:
And factor:
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
41 and 42
Step-by-step explanation:
Let the integers be x and x + 1
=> x + x + 1 = 85
=> 2x + 1 = 85
=> 2x = 84
=> x = 84/2
=> x = 41
Integers are :
41 and 42
