Answer: 9
Step-by-step explanation: Here, we have the expression <em>4x - 7</em> and we want to evaluate the expression when <em>x</em> is equal to 4.
To evaluate an expression, we simply plug the value
of the variable into the expression and solve.
So here, since <em>x</em> is equal to 4, we have 4(4) - 7.
4(4) is equal to 16.
So we have 16 - 7 which is equal to 9.
So the value of our expression when <em>x</em> is equal to 4 is 9.
Answer:
<h3>See explanations below</h3>
Step-by-step explanation:
1) Given the recursive function An=an-1 + 3 when a1 = 5, we are to find the first four terms;
First term a1 = 5
a2 = a1 +3
a2 = 5 + 3
a2 = 8
a3 = a2 + 3
a3 = 8+3
a3 = 11
a4 = a3 + 3
a4 = 11 + 3
a4 = 14
<em>The first four terms are 5, 8, 11 and 14</em>
<em></em>
<em>2) </em>For the recursive function An=an-1 + 2/3 when a1 = 1
a2 = a1 + 2/3
a2 = 1 + 2/3
a2 = 5/3
a3 = a2 + 2/3
a3 = 5/3 + 2/3
a3 = 7/3
a4 = a3 + 2/3
a4 = 7/3 + 2/3
a4 = 9/3
a4 = 3
<em>Hence the first four terms of the sequence are 2/3, 5/3, 7/3, 3</em>
<em></em>
3) For the recursive function An=an-1 + 12 when a1=30
a2 = a1 + 12
a2 = 30 + 12
a2 = 42
a3 = a2 +12
a3 = 42 + 12
a3 = 54
a4 = a3 + 12
a4 = 54+12
a4 = 66
<em>Hence the first four terms of the sequence are 30, 42, 54, 66</em>
Choice A is true. This is the Pythagorean identity. One of the most fundamental trig identities you should memorize.
Choice B is false. Let A = 60 and B = 30 and you'll see the left hand side turn into 0.5 while the right hand side turn into -0.5
Choice C is true. This is a variation of the identity tan^2+1 = sec^2 (just subtract tan^2 from both sides)
Choice D is true as this is a more complicated variation of 1+tan^2 = sec^2
Answer:
100
Step-by-step explanation:
The given equation is;
–m + 0.02 + 2.1m = –1.45 – 4.81m
The highest decimal places is 2.
This implies that, we must multiply each term of the equation by 
before solving in order to eliminate the decimal.
In that case the equation becomes;
–100m + 2 + 210m = –145 – 481m
Hence the number is 100
