Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
1/6
Step-by-step explanation:
There are 6 sides on a die, labeled 1,2,3,4,5,6
P(6) = number of 6's / total numbers
= 1/6
Answer:
300
Step-by-step explanation:
This is a place value problem.
The given figure is;
14, 397:
Pronounced as;
Fourteen thousand, three hundred and ninety seven:
14, 397;
10 000 ten thousand
4000 four thousand
300 three hundred
90 ninety
7 seven
The place value of 3 is hundreds.
Answer: The required probability is 0.1923.
Step-by-step explanation:
Since we have given that
Probability that it's a good dog = 0.4
Probability that it's a bad dog = 1-0.4 = 0.6
Probability that the dog smokes given that its a bad dog = 0.7
Probability that it smokes given that its a good dog = 0.25
According to question, probability of smoking pipe would be
P(good).P(Smoking pipe|good)+P(bad).P(smoking pipe|bad)
So, Probability of getting a good dog given that it is smoking pipe is given by
Hence, the required probability is 0.1923.
Answer:
2 jars
Step-by-step explanation:
If one jar costs $2 and you have $4 then $2+$2=$4
