Answer: 2 + 1 = 3 2 x 1 =2
Step-by-step explanation: + 7 = 7
Answer: her call lasted for 26 minutes.
Step-by-step explanation:
Let x represent the number of minutes for which her call lasted.
Rachel purchased a prepaid phone card for $30. Long distance calls cost 6 cents a minute using this card. Converting 6 cents to dollars, it becomes 6/100 = $0.06
This means that the cost of x minutes of long distance call is
0.06 × x = $0.06x.
If the remaining credit on her card is $28.44, it means that
0.06x + 28.44 = 30
0.06x = 30 - 28.44
0.06x = 1.56
x = 1.56/0.06
x = 26
The two cars will be 5.5 miles apart after 5.5 hours.
Step-by-step explanation:
Given,
Speed of first car = 57 mph
Time = 5.5 hours
Distance covered by first car = Speed * Time
Distance covered by first car = 57*5.5 = 313.5 miles
Speed of other car = 58 mph
Distance covered by other car = 58*5.5 = 319 miles
Difference = 319 - 313.5
Difference = 5.5 miles
The two cars will be 5.5 miles apart after 5.5 hours.
Keywords: speed, distance
Learn more about distance at:
#LearnwithBrainly
Answer:
49
Step-by-step explanation:
Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:
- * x
- * -3
-x + 3
Which gives us:
(-x + 3)(x + 11)
Now expand the brackets with the formula:
(a + b)(c + d) = ac + ad + bc + bd
-x * x = -x²
-x * 11 = -11x
3 * x = 3x
3 * 11 = 33
-x² - 11x + 3x + 33
-x² - 8x + 33
The formula for finding the x coordinate of a vertex in a quadratic equation is:
x = 
Plug known variables in:



Now, to find the y coordinate, plug this variable back into the quadratic equation:
-x² - 8x + 33

y = 49
So the y coordinate of the vertex is 49.
Hope this helps!