Answer:
f(x) = -2 (x + 2)² - 4
Step-by-step explanation:
f(x) = a (x - h)² + k (h , k) is vertex h = -2 k = -4
pass point (-1 , -6) f(x) = -6 and x = -1
-6 = a (-1 - (-2))² + (-4)
-6 = a - 4
a = -2
quadratic function: f(x) = -2 (x + 2)² - 4
Answer:
B
Step-by-step explanation:
I had the same question
Answer:
1. a) population of the town in 2024 = 8697
2.) the earthquake with a magnitude of 8 is a <u>100 times stronger</u> than an earthquake with a magnitude of 6.
Step-by-step explanation:
1) the population of a town was, 
in 2016.
a) Exponential growth model is given by 
where t is the time in years after 2016.
Year 2016 is when t = 0.
k = growth rate constant = 1.6% = 0.016
i) therefore the population of the town in 2024
= 
( to the nearest whole number)
2.) log (I 
M S) = magnitude of earthquake where I is the Intensity of the earthquake and S is the intensity of a standard earthquake
therefore I M S = 
therefore 
Answer:
Gabby received
7 nickels
10 dimes
3 quarters
Step-by-step explanation:
Let
x----> the number of dimes
y----> the number of nickels
z---> the number of quarters
Remember that
1 dime=$0.10
1 nickel=$0.05
1 quarter=$0.25
we know that
0.10x+0.05y+0.25z=2.10 ------> equation A
x=y+3-----> equation B
z=y-4 -----> equation C
substitute equation B and equation C in equation A and solve for y
0.10(y+3)+0.05y+0.25(y-4)=2.10
0.10y+0.30+0.05y+0.25y-1=2.10
0.40y=2.10-0.30+1
0.40y=2.80
y=7 nickels
<em>Find the value of x</em>
x=y+3 -----> x=7+3=10 dimes
<em>Find the value of z</em>
z=y-4 -----> z=7-4=3 quarters
therefore
Gabby received
7 nickels
10 dimes
3 quarters
Answer:
p=-7
Step-by-step explanation:
-11+10(p+10)=4-5(2p+11)
Firstly, expand the bracket
-11+10p+100=4-10p-55
Next, you collect like terms
10p+10p=4-55-100+11
20p=-140
Divide through by the coefficient of p
20p/20=-140/20
p=-7
