Answer:
x = 9.125 and 0.875
Step-by-step explanation:
Given the expression
log (x² + 8) = 1 +log(x)?
This can also be written as;
log (x² + 8) = log 10 +logo(x)
log (x² + 8) = log(10x)
(x² + 8) = (10x)
x² -10x + 8 = 0
Factorize;
x = 10±√(-10)²-4(8)/2
x = 10±√100-32/2
x = 10±√68/2
x = 10±8.25/2
x = 10+8.25/2 and 10-8.25/2
x = 18.25/2 and 1.75/2
x = 9.125 and 0.875
Um not fully confident which is funny because imma freshman but i believe you combined all the like terms to get “180 = 23x - 188” and it equals 180 in the end because it’s a straight line so anyways once you solve the problem you should get 16 i believe and if you’re confused just feel free to ask me and i hope i wasn’t too late to answer it
X^2 - 5x - 14 = 0
what multiplies to negative 14 and adds to negative 5? -7 and positive 2.
(x - 7) (x + 2) = 0
Lesser x = -2
Greater x = 7
To solve this, it might be easier to draw it out (see the picture below). I split it into two triangles and used trig functions to find the altitude. I used the big triangle to find theta, and the used theta to find the side of the altitude. *remember that sine= opposite/hypotenuse*
In order to use the simple interest formula, we first define the variables. The interest would be equal to Samuel's desired amount $ 2,488 minus the principal amount of $ 1,800 which is then equal to $ 688. The rate must be in decimal form which is equal to 0.12 while t is expressed in years. Substituting the values, t is equal to 3. Thus, it will take 36 <span>months for Samuel's account balance to reach $2,448. </span>
