Answer:

Step-by-step explanation:
Given

Required
Determine h(-6)
To do this, we make use of:

Because 
So, we have:



Simplify

Answer:
y-intercept: -5
Slope: 4
Equation: y = 4x - 5
Step-by-step explanation:
✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:
y-intercept (b) = -5
✔️using two pairs from the table, (1, -1) and (2, 3):

Slope = 4
✔️To write an equation for the function, substitute m = 4, and b = -5 into y = mx + b.
Thus:
y = 4x +(-5)
y = 4x - 5
Multiply out
remember thatn (-) times (+)=(-) so
+3 times -4=-12
-12x=0
the only number that will work is 0 since 0 times anything=0
x=0
Answer:
The hight length : h
The base length : a
Apply the Pythagorean theorem in the right triangle :
h² = 13² - (10/2) = 144
h = √144 = 12 cm
S = (a x h)/ 2 = ( 10 x 12 )/2 = 60 cm²
Step-by-step explanation:
The population size after 6 years and after 8 years are 147 and 169 population respectively
<h3>Exponential functions</h3>
The standard exponential function is expressed as y = ab^x
where
a is the base
x is the exponent
Given the function that represents the population size P (t) of the species as shown;

For the population size after 6 years

For the population after 8 years

Hence the population size after 6 years and after 8 years are 147 and 169 population respectively
Learn more on exponential function here: brainly.com/question/2456547
#SPJ1