Answer: 5) Vertex = (2, 28) y-intercept = 40 → (0, 40)
6) Vertex = (2, 11) y-intercept = 7 → (0, 7)
<u>Step-by-step explanation:</u>
The y-intercept of the equation is when x = 0. It is the c-value when given in standard form: y = ax² + bx + c
To find the vertex, use the Axis of Symmetry equation to find the x-value
x = -b/(2a). Then plug the x-value into the equation to find the y-value.
5) y = 3x² - 12x + 40
↓ ↓ ↓
a=3 b= -12 c=40
Min: y = 3(2)² - 12(2) + 40
= 3(4) - 24 + 40
= 12 - 24 + 40
= 28
Vertex: (2, 28) y-intercept = 40
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6) y = -x² + 4x + 7
↓ ↓ ↓
a= -1 b=4 c=7
Max: y = -(2)² + 4(2) + 7
= -(4) + 8 + 7
= -4 + 8 + 7
= 11
Vertex: (2, 11) y-intercept = 7
Answer:
n = - 3
Step-by-step explanation:
Slope line r: (5-1)/(3+1) = 4/4 = 1
Slope of the perpendicular line: -1
p=(-4,4)
y-intercept: 4 - (-1)(-4) = 4 - 4 = 0
y = -x
(3,n) x = 3 and y = n
n = - 3
About $17.05,
Since 89/100= 1% of the total bill= 0.89
0.89*15= the total tip= 13.35
Add the total bill and the tip together would be $102.35,
And then you divide that between the 5 of your friends and you, so
102.35/6 which would equal to $17.0583 (3 repeating) for each person.
Answer:
25 students had soup for lunch
Step-by-step explanation:
Sandwich : soup
Of all students who purchased lunch this Thursday, 30 chose a sandwich
Let x = number of students who choose soup
Sandwich : soup = 30 : x
If the ratio of students who chose a sandwich to all of those who chose soup was 6:5
Sandwich : soup = 6 : 5
how many of the students had soup for lunch?
Equate both ratios
Sandwich : soup
30 : x = 6 : 5
30 / x = 6 / 5
Cross product
30 * 5 = x * 6
150 = 6x
Divide both sides by 6
x = 150 / 6
= 25
x = number of students who choose soup = 25 students
