Answer:
Molly can drive her car 112 miles on 4 gallons of gas and 182 miles on 6.5 gallons write an equation to show the relationship between the number of gallons she has and the number of miles she can drive and how many gallons she would need to drive 420 miles⊂⇄∪↓Ф
Step-by-step explanation:
Answer:
x = - 
, x = 
Step-by-step explanation:
to find the points of intersection equate the 2 equations , that is
7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )
6x² - 5x - 25 = 0 ← factor the quadratic on left side
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 25 = - 150 and sum = - 5
the factors are - 15 and + 10
use these factors to split the x- term
6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )
3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term
(2x - 5)(3x + 5) = 0
equate each factor to zero and solve for x
3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = -
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
2/3 of 300 is 200.
200 +40 = 240.
the total amount of seats minus the amount filled
300 - 240 = 60
That means that there are 60 seats remaining.
Answer:
45 m
Step-by-step explanation:
<h3>Given</h3>
<u>Function to produce the stone's height</u>
Maximum value the given function can get is at (x - 1) = 0 ⇒ x = 1
because the -5(x - 1)² can get maximum value of zero as the square of any number is zero or positive
<u>So maximum height is </u>
Answer:
31
Step-by-step explanation:
In the above problem it is given that
No of Bees in the hive = 14
Number of bees in the garden = 17
In order to solve it
First of all I wrote 14 in the first box which represents the number of bees in the hive.
Secondly, I wrote 17 in the second box which represents the number of bees in the garden.
Now, in order to calculate the total number of bees i added the number in both boxes
Total Number of bees = 14 + 17
Total Number of bees = 31
So our total number of bees are 31
