Answer:
Step-by-step explanation:
<h3>Given</h3>
- Area of rectangle = 2x^2 - 7x - 15
<h3>To find</h3>
<h3>Solution</h3>
<u>Since the area is the product of the sides, let's try to factorize the given:</u>
- 2x^2 - 7x - 15=
- 2x^2 - 10x + 3x - 15 =
- 2x(x - 5) + 3(x - 5) =
- (x - 5)(2x + 3)
<u>So the dimensions are:</u>
Answer:
Value of expression in single logarithm is
.
Step-by-step explanation:
Given expression is,

Now using logarithmic rule to solve the expression as follows,
Applying product rule of logarithmic,

Therefore,

Applying power rule of logarithmic,

Therefore,


Applying quotient rule of logarithmic,

Therefore,

Simplifying,



Therefore value of expression is 
Answer:
14
Step-by-step explanation:
Take the square root of 11650+14:
%:11650+14
108
So it’s a perfect square (108^2=11664).
Answer:
During the 9th week
Step-by-step explanation:
Scott: 50 + (0.3)(8×25)t
= 50 + 60t
Sophia: 50 + 45t + 30(t-4)
= -70 + 75t
60t + 50 = 75t - 70
15t = 120
t = 8
After 8 weeks they will have the same amount,
Which is during the 9th week
It would be 4x < h < 10x
the difference between 3x - 7x =4
and the sum would be 3x + 7x =10