Answer:
Step-by-step explanation:
3
x
2
+
4
x
+
19
−
f
(
x
)
=
0
Solution:
we are given that
A six sided number cube has faces with the numbers 1 through 6 marked on them.
we have been asked to find the probability that a number less than 2 will occur on one toss of the number cube.
Since a number less than 2 is only one and that is "1" and total number of possible outcome is 6.
and as we know that probability is given using the formula

Substitute the values we get

Hence the required probability is 1/6.
If we have two points;
A(x₁,y₁)
B(x₂,y₂)
m=slope
m=(y₂-y₁) / (x₂-x₁)
Therefore:
(6,7)
(9,2)
m=(2-7) / (9-6)=-5/3.
Solution₁= the solpe of the line that passes through the poitns (6,7) and (9,2) is m=-5/3.
(17,9)
(5,29)
m=(29-9) / (5-17)=20/-12=-5/3
Solution ₂: the slope of the line that passes through the parir of points (17,9) and (5,29) is m=-5/3
Therefore, both lines have the same slope.
The quotient for the given mixed fraction is 1.9318
Step-by-step explanation:
Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction
we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get
. Similarly, we get the improper fraction
for converting the mixed fraction
.
Step 2; After conversion, it's just a matter of division. The fraction
equals 4.25 while the denominator
equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.
slope intercept form is y = mx + b
so the answer is y = 2x - 3