Step-by-step explanation:
ln(x) + ln(x + 25) = 0
ln(x(x + 25)) = 0
ln(x² + 25x) = 0
ln(x² + 25x) = ln(1) , x ≥ 0
x² + 25x = 1
x² + 25x + 625/4 = 1 + 625/4
(x + 25/2)² = 629/4
x + 25/2 = ±√(629/4)
x = ( -25 ±√629)/2
x = (-25 - √629)/2 atau ( -25 + √629)/2
(-25 - √629)/2 ≥ 0 NOT PROVED
(-25 + √629)/2 ≥ 0 PROVED
Solution → x = (-25 + √629)/2
The intercepts of the given equations is as given in the task content is; Choice B; (15,0,0),(0,10,0) ,(0,0,5).
<h3>What are the intercepts of the equation as give in the task content?</h3>
The x-intercept of the given equation can be determined by setting values of y and z to zero.
The y-intercept can be determined by setting x and z to zero.
While the z-intercept can be determined by setting x and y to zero.
Consequently, the X-intercept of the given equations is; 2x +3(0) = 30; x = 15.
Therefore, we have; (15,0,0)
The y-intercept is therefore; 2(0) +3y = 30; 3y = 30; y = 30/3 = 10 and. we have; (0,15,0)
And hence, the z-intercept is; z = 30/6 = 5.
Read more on intercept;
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Answer:
![Solution,\\First=(\frac{-2}{3} +\frac{3}{5} )*\frac{1}{2} \\=-\frac{1}{15} *\frac{1}{2} =-\frac{1}{30} \\Second=(-1/30+3/5)*1/2\\=17/30*1/2=17/60\\Third=(17/60+3/5)*1/2\\=53/60*1/2=53/120\\Fourth=(53/120+3/5)*1/2\\=25/24*1/2=25/48](https://tex.z-dn.net/?f=Solution%2C%5C%5CFirst%3D%28%5Cfrac%7B-2%7D%7B3%7D%20%2B%5Cfrac%7B3%7D%7B5%7D%20%29%2A%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%3D-%5Cfrac%7B1%7D%7B15%7D%20%2A%5Cfrac%7B1%7D%7B2%7D%20%3D-%5Cfrac%7B1%7D%7B30%7D%20%5C%5CSecond%3D%28-1%2F30%2B3%2F5%29%2A1%2F2%5C%5C%3D17%2F30%2A1%2F2%3D17%2F60%5C%5CThird%3D%2817%2F60%2B3%2F5%29%2A1%2F2%5C%5C%3D53%2F60%2A1%2F2%3D53%2F120%5C%5CFourth%3D%2853%2F120%2B3%2F5%29%2A1%2F2%5C%5C%3D25%2F24%2A1%2F2%3D25%2F48)
First number=-1/30
Second number=17/60
Third number=53/120
Fourth number=25/48
Step-by-step explanation:
7 can go into 35 5 times so 5 times 5 = 25
so a=25 HOPE I HELPED
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