Answer:
Step-by-step explanation:
The formula of a slope:
If
m > 0, then a line is rising
m < 0, then a line is falling
m = 0, then a line is horizontal
m is undefined, then a line is vertical
<h2>a.</h2>
(2, 1) and (4, 5)
<h2>b.</h2>
(-1, 0) and (3, -5)
<h2>c.</h2>
(2, 1) and (-3, 1)
<h2>d.</h2>
(-1, 2) and (-1, -5)
-2x + 16 < = 10
-2x < = 10 - 16
-2x < = - 6
x > = -6/-2
x > = 3............so any number that is 3 or above is in the solution set
Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.
Step-by-step explanation:
Since here S represents the number of batches of spaghetti and L represents the total number of lasagna.
And, the chef planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.
Which is shown by the below inequality,
----------(1)
And, 
--------(2)
By putting S = 10 and L = 4 in the inequality (1),
⇒ 
(true)
Thus, for the values S = 10 and L = 4 the inequality (1) is followed.
Again By putting S = 10 and L = 4 in the inequality (2),
⇒ 
( false)
But, for the values S = 10 and L = 4 the inequality (2) is not followed.
Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.
Answer:
a) what is the probability that Neither will of these products launch ?
= 0.30
b) At least one product will be launched ?
= 0.70
Step-by-step explanation:
From the above question, we have the following information:
P(A) = 0.45
P(B) = 0.60
P(A ∩ B) = P(A and B) launching = 0.35
Step 1
We find the Probability that A or B will launch
P (A ∪ B) = P(A) + P(B) - P(A ∩ B)
= 0.60 + 0.45 - 0.35
= 1.05 - 0.35
= 0.70
a) what is the probability that Neither will of these products launch ?
1 - Probability ( A or B will launch)
= 1 - 0.70
= 0.30
b)At least one product will be launched?
This is equivalent to the probability that A or B will be launched
P (A ∪ B) = P(A) + P(B) - P(A ∩ B)
= 0.60 + 0.45 - 0.35
= 1.05 - 0.35
= 0.70
Answer:
n = 2 or n = 3/2 thus A. is the Answer
Step-by-step explanation:
Solve for n:
2 n^2 - 7 n + 6 = 0
The left hand side factors into a product with two terms:
(n - 2) (2 n - 3) = 0
Split into two equations:
n - 2 = 0 or 2 n - 3 = 0
Add 2 to both sides:
n = 2 or 2 n - 3 = 0
Add 3 to both sides:
n = 2 or 2 n = 3
Divide both sides by 2:
Answer: n = 2 or n = 3/2
