Solve the equation.check your solution,if possible. 1/2s=4s-21
1 answer:
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9514 1404 393
Answer:
-31/15
Step-by-step explanation:
Put the numbers in the expression and do the arithmetic.
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Your graphing calculator can probably help with this.
Answers & Step-by-step explanation:
<h2>PEMDAS (Parenthesis, exponents, multiplication, division, addition, subtraction)</h2>Now let's solve your problems!
<h2>___________________________________________________</h2><h2>16.</h2>First, we see if there are any parentheses. Since there are no parentheses, we will evaluate the exponent 3² first.
After this, our problem now looks like this:
<h2>Next, since multiplication (not subtraction) is next on the list, we will evaluate 6 × 3, which equals 18.
After that, we will subtract:
41 - 9 = 32
18 - 26 = -8
We now have 32/-8 or 4/-1 or simply -4.
<h2>The answer is: -4</h2><h2>___________________________________________________</h2><h2>17.</h2>With this, one, note the parentheses. This means that we will do these operations first.
(21 - 4²) = 5
(3 + 1) = 4
The problem now looks like this:
Next, we do the exponents:
8² = 64
After that, we do the multiplication of 5 x 4, which equals 20.
We now have 20/64 - 44, which simplifies to 20/20 or 1/1 or 1.
<h2>The answer is: 1</h2><h2>___________________________________________________</h2><h2>18.</h2>Again, we see parentheses, so that means we need to do these operations first.
(6² - 20) = 16
We now have:
48 ÷ 16 + 5
48/16 = 3 and 3 + 5 = 8
<h2>The answer is: 8</h2><h2>___________________________________________________</h2><h2>19.</h2>Here, we see an exponent 3³, so we'll need to evaluate this first.
3³ = 27
We now have:
4 × 27 ÷ 18 + 14
4 × 27 = 108
108/18 = 6
And finally:
6 + 14 = 20
<h2>The answer is: 20</h2><h2>___________________________________________________</h2><h2>20.</h2>Here we again see the parentheses, which means we need to evaluate the subtraction first.
3 - 8 = -5
We now have:
11 + 2 (-5)
2 × -5 = -10
11 + -10 (same as 11 - 10) = 1
<h2>The answer is: 1</h2><h2>___________________________________________________</h2><h2><em>I AM ALWAYS HAPPY TO HELP :)</em></h2>Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given
The derivative is
(a) The slope of the tangent line at (1,0) is
(b) The equation of the tangent line can be found with the general formula of the line:
Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus
Or, equivalently