Answer:
347 is the initial spider population
Step-by-step explanation:
y = ab^x
is the formula for exponential growth and decay
a = the initial value
b is the growth or decay rate
b>1 it is the growth rate (b-1) is the percent
0<b<1 it is the decay rate (1-b) is the percent
y = 347(1.2)^x
347 is the initial spider population
(1.2-1) = .2 = 20 % growth rate
Answer:
1) f(g(2)) = 24
2) f(g(-1)) = -4
Step-by-step explanation:
1) GIven f(x) = x²+2x and g(x) = 2x
f(g(x)) = f(2x)
f(2x) = (2x)² + 2(2x)
f(2x) = 4x² + 4x
f(g(x)) = 4x² + 4x
f(g(2)) = 4(2)² + 4(2)
f(g(2)) = 16+8
f(g(2)) = 24
2) f(x) = x+1 and g(x) = 5x
f(g(x)) = f(5x)
f(5x)= 5x + 1
f(g(x)) = 5x + 1
f(g(-1)) = 5(-1) + 1
f(g(-1)) = -5+1
f(g(-1)) = -4
Answer:
10x^3 - 2x^2 -7
Step-by-step explanation:
To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second
so 6x^3 + 4x^3 and that would be 10x^3
then -3x^2 + x^2 and the negative is larger so it would be -2x^2
and finally -2 + -5 and that is -7
hope this helps! :)
Answer:
The measure of other three angles are 135° , 45° and 45°
Step-by-step explanation:
The opposite angles of a parallelogram are equal.
So if we consider a parallelogram ABCD ,
Angle A = Angle C
Angle B = Angle D
If we take angle A = 135° then angle C = 135°
SUM OF INTERIOR ANGLES OF A QUADRILATERAL IS 360°.
A+B+C+D=360°
135°+B+135°+D=360°
270°+B+D=360°
But B=D
So,2B=90°
B=45°
D=45°
So A = C = 135°
A = C = 135° B = D = 45°
A = C = 135° B = D = 45°
Read more on Brainly.in - https://brainly.in/question/15571497#readmore
Answer:
x = 9.8
Step-by-step explanation:
to find x, use pythagorean theorem
⇒ 9.8
