Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.y = -x 2 + 6x + 5
HELP PLEASE!!!!!!
Answers
Answer:
-(x-3)²+14
maximum
(3,14)
Step-by-step explanation:
y= -x²+6x+5
y-5= -x²+6x
y-5= -(x²-6x)
complete the square
y-14= -(x²-6x+9)
x²-6x-9= -(x-3)²
y-14= -(x-3)²
y= -(x-3)²+14
maximum because a is negative
vertex is (3,14)
Related Questions
Which equation represent slope-intercept form of line
I need help it is at 16 points I really do not get this can someone help (picture included)
What are the next 2 terms in this sequence? -26,-20,-14_, _?
Which equation fits the word problem? Katie rented a bike from James' Bikes. It cost $19 plus $6 per hour. If Katie paid $49, then he rented the bike for how many hours?
Answers
If you would like to write an inequality to represent the situation, you can do this using the following steps:
x ... the amount of Alicia's paycheck
x/2 - $42.15 >= $20
x/2 >= $20 + $42.15
x/2 >= $62.15 /*2
x >= $62.15 * 2
x >= $124.3
The correct result would be x >= $124.3.
Answers
the distance between opposite corners is the diameter of the circle
the radius would be 1/2 diameter
so we just use the pythagorean theorem to find the legnth of the diagonal and thus the diameter then halve that to get radtius
a^2+b^2=c^2
c=hypotonuse
a and b are legs
8^2+6^2=c^2
64+36=c^2
100=c^2
10=c
10=diameter
10/2=5=radis
5 centimeters
Answers
Final answer:
A t-chart representing the y = |5x| shows pairs of x and y values, where y is the absolute value of 5 times x. Whether x is negative or positive, y is always positive, demonstrating the dependence of y on x in the total value context.
Explanation:
The absolute value equation given is y = |5x|. A t-chart representing this equation would list several values of x against their corresponding y values, where y is the absolute value of 5 times x. For instance, for x = -1, y = |-5| = 5; for x = 0, y = |0| = 0; for x = 1, y = |5| = 5. Thus, the t-chart should show that, regardless of whether x is negative or positive, y is always positive, given the nature of absolute value.
Here's an example of what the t-chart could look like:
- (-1, 5)
- (0, 0)
- (1, 5)
The dependence of y on x in this scenario is such that y increases linearly as the absolute value of x increases.
Learn more about t-chart here:
#SPJ2
Answer: Choice C
=============================================
Explanation:
Choices A, B and D are not true because of the negative y values. The result of an absolute value is never negative. So we can rule out choices A, B, and D. We have choice C as the only thing left, so this must be the answer.
-------------
Another way to see this is by plugging in each x value to see what y value comes out.
- If x = -2, then y = |5*x| = |5*(-2)| = |-10| = 10
- If x = -1, then y = |5*x| = |5*(-1)| = |-5| = 5
- If x = 0, then y = |5*x| = |5*0| = |0| = 0
- If x = 1, then y = |5*x| = |5*1| = |5| = 5
- If x = 2, then y = |5*x| = |5*2| = |10| = 10
The y outputs from top to bottom are: 10, 5, 0, 5, 10
This matches with what choice C shows.
Answers
Answer:
x=8/3
Step by step
determine the defined range
remove parentheses
move the terms
collect like terms and calculate
divide both sides
a 860 square inches
b 760 square inches
c 960 square inches
d 1,060 square inches
Answers
5*5*2 for both sides of squares =50
8*8/2*2 for both sides of right triangles =64
8*20*2 for roof portion= 320
20*5*3 for walls and floor of house shape =300
z-x*y for space under roof and above walls
6.3*20=126
50+64+320+300+126=860 your answer is A
plz give brainliest -J (:
Answers
3y = 28 - 7 Do subtraction
3y = 21 Divide both sides by 3
y = 7 Get result