Answer:
C
Step-by-step explanation:
M=y2-y1/x2-x1
1-3=(-2)
3-(-4)-7
M=(-2)/7
Hope this helps =3
Answer: 0.267
Step-by-step explanation:
The relative frequency is the number of times that we obtained a given outcome divided by the total numer of trials.
In this case we have 75 trials.
in 20 trials the outcome was a 3.
Then the relative frequency of the event "spin a 3" is:
p = 20/75 = 0.266... = 0.267
Answer:
y = 0.48(x - 0.5)² - 3
y = 0.48(x² - x - 6)
Step-by-step explanation:
From the graph the zeros are
x = {-2, 3}
The x coordinate of the vertex is the midpoint of the roots
x = (-2 + 3) / 2
x = 0.5
The y coordinate of the vertex is
y = -3
vertex = (0.5, -3)
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Merhod I - vertex
Vertex form is
y = a(x - h)² + k
plug in the vertex
y = a(x - 0.5)² - 3
to find a plug in either root
using x = 3
0 = a(3 - 0.5)² - 3
0 = a(2.5)² - 3
0 = 6.25a - 3
3 = 6.25a
a = 3/6.25
a = 0.48
y = 0.48(x - 0.5)² - 3
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Method II - roots
y = a(x + 2)(x - 3)
-3 = a(0.5 + 2)(0.5 - 3)
-3 = a(2.5)(-2.5)
-3 = -6.25a
3/6.25 = a
0.48 = a
y = 0.48(x + 2)(x - 3)
Expand
y = 0.48(x² - x - 6)
Let the second car meets the first car after n hours.
Second car starts with 8km/h, After succeeding hours his speed increases by 0.5 km.
So, Distance travelled by second car = 8 + 8.5 + 9
..... 8+(n-1) 0.5.....(1)
eqn. (1) sum of n terms Of A.P with first term 8
and common difference 0.5.
Sum of all the terms in equation 1 is also equals to the distance travelled by the first car for n hours, i.e. 10n km .
Now, we have (n/2) {16+(n-1) 0.5} = 10n........(2)
From equation (2) we get, n= 9
Hence, Both the cars will meet after 9 hours.
Hope it helps!
Well first we need to know how many pennies, nickles, and dimes there are.
