Let's solve your equation step-by-step.
<span><span><span><span>x2</span>+4</span>+32</span>=<span><span>12<span>x2</span></span>+48
</span></span>Step 1: Simplify both sides of the equation.
<span><span><span>x2</span>+36</span>=<span><span>12<span>x2</span></span>+48
</span></span>Step 2: Subtract 12x^2+48 from both sides.
<span><span><span><span>x2</span>+36</span>−<span>(<span><span>12<span>x2</span></span>+48</span>)</span></span>=<span><span><span>12<span>x2</span></span>+48</span>−<span>(<span><span>12<span>x2</span></span>+48</span>)
</span></span></span><span><span><span>−<span>11<span>x2</span></span></span>−12</span>=0
</span>Step 3: Use quadratic formula with a=-11, b=0, c=-12.
<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a
</span></span></span><span>x=<span><span><span>−<span>(0)</span></span>±<span>√<span><span><span>(0)</span>2</span>−<span><span>4<span>(<span>−11</span>)</span></span><span>(<span>−12</span>)</span></span></span></span></span><span>2<span>(<span>−11</span>)
</span></span></span></span><span>x=<span><span>0±<span>√<span>−528</span></span></span><span>−<span>22
Hopefully this helps!
</span></span></span></span>
Solution:
Given:
A table representing an exponential function.
The x-values represent the terms, while the y-values represent the numbers.
The common ratio is gotten from the numbers (y-values).
The formula for common ratio is given by;
Therefore, the common ratio is 3.
Answer:
a = 4
d = a2 - a1
d = 7 - 4
d = 3
an = 43
an = a + (n - 1)d
43 = 4 + (n - 1) 3
43 = 4 + 3n - 3
43 = 1 + 3n
43 - 1 = 3n
3n = 42
n = 42 ÷
n = 14
So, 14th term is 43
Please MARK AS BRAINLIEST
Answer:
The value of S(50) is 22 in means the amount of sodium iodine in the mixture is 22 when 50 milliliters of the 20% solution used.
Step-by-step explanation:
It is given that a chemist working on a flu vaccine needs to mix a 20% sodium-iodine with a 60% sodium-iodine to obtain a 70-milliliter mixture.
Let x be the number of milliliters of the 20% sodium-iodine.
Number of milliliters of the 60% sodium-iodine = 70-x
The amount of sodium iodine in the mixture is 20% of x and 60% of (70-x).
Therefore,the required function is .
Substitute x=50 in the above equation.
The value of S(50) is 22 in means the amount of sodium iodine in the mixture is 22 when 50 milliliters of the 20% solution used.
Y=<span>x2</span>−2x−<span>3
is the answer </span>
