Answer:
Step-by-step explanation:
Given the length of a fish after t years modeled by the equation
L(t) = 9 − 1/5t
The average rate of growth is expressed as;
dL/dt = -1/5 (differential of a constant is zero)
Hence the average rate of growth over the first year of life is -1/5 in/year
E - English homework, M - Math homework;
M + E ≤ 2 hours
M = 2 E
2 E + E ≤ 2 hours
3 E ≤ 2 hours = 120 minutes
E ≤ 120 : 3
E ≤ 40 minutes
Answer:
The student will be able to finish his English homework in less or equal to 40 minutes.
Answer:
y = -9/4x + 16 1/4
Step-by-step explanation:
lmk if you want an explanation
Answer: 8
The point E in the parallelogram is located at the crossing point of the diagonal line. It can be concluded that the distance of AE is equal to CE, or equal to 1/2 AC. Then you can get three equation like this:
AE=CE
<span>AE=x^2−8
CE=2x .
Using these equation you can find the value of x
AE= CE
</span>x^2−8 = 2x
x^2−2x-8 = 0
(x- 4) (x+2)
x1= 4 x2= -2
Excluding the minus result, you can get that AE= CE= 4
Then AC would be:
AC= AE+CE
AC= 4 + 4= 8
Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
