The solutions or roots so-called are really just the x-intercepts, and for a quadratic equation, the vertex is found right half-way between those x-intercepts.
we can get the intercepts by zeroing out "y" or f(x), so let's take a peek at one of those,
so, the x-intercepts or solutions are at 5 and -1, let's take a peek what's the halfway point.
-1----0----1----
2 ----3-----4------5
well then, now we know the vertex is at x = 2, but, what's the y-coordinate of it anyway?
y = (x - 5)(x + 1)
y = (2 - 5)(2 + 1)
y = (-3)(3)
y =
-9
Vă rugăm să găsiți imaginea întrebării atașate mai jos:
Răspuns:
A este proporțională
B este proporțională
C nu este proporțional
D este proporțional
E nu este proporțională
F este proporțional
Explicație pas cu pas:
Pentru a determina proporționalitatea:
Obținem constanta proporționalității
Pentru valorile din tabelul 1;
Luând primul punct:
x = 1; y = 5
1 α 5
1 = 5k
k = 1/5
Test:
y = 15
x = k * y
x = 1/5 * 15; x = 3
Prin urmare; (a) este proporțională
B.)
x = 2; y = 6
2 α 6
2 = 6k
k = 2/6
k = 1/3
Test:
y = 15
x = k * y
x = 1/3 * 15; x = 5
Prin urmare; (b) este proporțională
C.)
x = 2; y = 6
7 α 3,5
7 = 3,5k
k = 7 / 3,5
k = 2
Test:
y = 5
x = 2 * 3.5
x = 7
Prin urmare; (c) nu este proporțională
x = 0,5; y = 1
0,5 α 1
0,5 = k
Test:
y = 4
x = k * y
x = 0,5 * 4; x = 2
Prin urmare; (d) este proporțională
x = 0,2; y = 2
0,2 α 2
0,2 = 2k
k = 0,2 / 2
k = 0,1
Test:
y = 4,5
x = 0,1 * 4,5
x = 0,45
Prin urmare; (e) nu este proporțională
x = 1; y = 12
1 α 12
1 = 12k
k = 1/12
Test:
y = 84
x = 1/12 * 84
x = 7
Prin urmare; (f) este proporțională
Answer:
its kinda dificult to explain (easier to show) but ill do my best
Step-by-step explanation:
so for part a you wanna start from the bottom (min) and go acros to the line above 1 then go three lines up for cookies. you should be on 3, 1
for part b its c lin decorates 21 cookies in 7 min
A=1/2bh
b=8+h
A=384
384=1/2(bh)
times 2
768=bh
sub
768=b(8+b)
768=8b+b^2
minus 768 both sides
0=b^2+8b-768
factor
0=(b-24)(b+32)
set to zero
b-24=0
b=24
b+32=0
minus 32
b=-32
false, legnths cannot be negative
b=24
24=8+h
minus 8
16=h
base=24ft
altetude=16ft
Answer:
Strong negative correlation
Step-by-step explanation:
n the scatter plot attached below, as the variable in the x-axis increases, the variable on the y-axis decreases. Thus, if a line of best fit is drawn, it would show a line that slopes downwards to our right. This shows a negative correlation between both variables in the scatter plot.
Also, we also see that the data points represented on the scatter plot are clustered more closely along the slope, showing strong negative correlation.
Therefore, the phrase that best describes the scatter plot is: strong negative correlation.
