Answers
Answer:
2nd option
Step-by-step explanation:
given a quadratic in standard form
y = ax² + bx + c
• If a > 0 then minimum vertex
• If a < 0 then maximum vertex
Here a = - 1 < 0 then maximum
The maximum value is the value of the y- coordinate of the vertex
The x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
Here a = - 1 and b = 3 , then
x = - [tex]\frac{3}{-2}[/tex] = [tex]\frac{3}{2}[/tex]
Substitute this value into the equation for corresponding y- value
y = - ([tex]\frac{3}{2}[/tex] )² + 3([tex]\frac{3}{2}[/tex] ) - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{9}{2}[/tex] - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{18}{4}[/tex] - [tex]\frac{4}{4}[/tex] = [tex]\frac{5}{4}[/tex]
Then maximum value of [tex]\frac{5}{4}[/tex]
Related Questions
Select all of the following that are ordered pairs of the given function.
ƒ(x) = 3 - 2x
Answers
Answer:
These are the answers
(-1,5)
(0,3)
(2,-1)
Step-by-step explanation:
How many 2 digit numbers have unit digit 6 but are not perfect squares
Answers
9514 1404 393
Answer:
7
Step-by-step explanation:
Of the 9 2-digit numbers ending in 6, only 2 are perfect squares: 16 and 36. The other 7 are not perfect squares.
solve pls brainliest
Answers
Answer:
y=15x
Step-by-step explanation:
Plug in the numbers given and the equation works.
f(x)=12x to g(x) = 2x
Answers
Answer:
g(x)=12-x^2. g(x)=12−x2 g ( x ) = 12 - x 2
Step-by-step explanation:
your welcome
find the 125th term of the number pattern 2,4,6,8......
Answers
Answer: 250
Step-by-step explanation: 125*2 = 250
There are 5 boxes and each box weighs x pounds. Write the expression for the total weight of the
boxes.
Answers
Answer:
5x pounds
Step-by-step explanation:
Here's the solution if you need, hope it's help
Write an equation of the line with a slope of frac 3/4
and a y-intercept of -2.
Answers
Answer:
Equation: y = 3/4x -2
The angles featured below are ______ angles
Answers
Answer:
its normall
Step-by-step explanation:
Work out the nth term of the following sequence:
7, 16, 31, 52, 79
its a quadratic sequence and i worked out the second difference (6) so know its 3n² but i don't know the rest
Answers
Answer:
Step-by-step explanation:
Since it is given that it is quadratic it is of the form f(n)=an^2 + bn+c.
Since we know a few terms we can plug in to get some equations:
f(1)= a +b+c = 7
f(2)=4a+2b+c = 16
f(3)=9a+3b+c = 31
Now you've got yourself a system of three equations which I trust you can solve.
I will say that I'm not sure that this is the most efficient solution(check out the link below which might have a better solve).
Here are some nice explanations with the "real" math notation for a slightly different but related problem:
https://math.stackexchange.com/questions/2345256/how-to-find-the-nth-term-of-quadratic-sequences
Good luck!
When determining domain it is important to work from
Answers
Answer:
use graphs
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Which of the following describes the transformation from Figure 1 to Figure 2? On a coordinate plane, figure A B C D E has points (negative 3, 5), (negative 2, 5), (negative 1, 4), (negative 2, 3), (negative 5, 3). Figure A prime B prime C prime D prime E prime has points (2, 2), (3, 2), (4, 1), (3, 0), (0, 0). CLEAR CHECK translation 2 units to the right and 3 units down translation 3 units to the left and 2 units up translation 5 units to the right and 3 units down translation 5 units to the left and 3 units up
Answers
Answer:
a
Step-by-step explanation:
The transformation from Figure 1 to Figure 2 is:
The transformation of 5 units to the right and 3 units down.
Option C is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
A B C D E has points (-3, 5), (-2, 5), (-1, 4), (-2, 3), and (-5, 3).
A' B' C' D' E' has points (2, 2), (3, 2), (4, 1), (3, 0), and (0, 0).
Now,
A = (-3 + 5, 5 - 3) to A' = (2, 2)
B = (-2 + 5, 5 - 3) to B' = (3, 2)
C = (-1 + 5, 4 - 3) to C' = (4, 1)
D = (-2 + 5, 3 - 3) to A' = (3, 0)
E = (-5 + 5, 3 - 3) to E' = (0, 0)
We see that,
There is a translation of 5 units to the right and 3 units to the down.
Thus,
The transformation of 5 units to the right and 3 units down.
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ1
Select the correct answer.
Which expression is a factor of this polynomial?
13 + 2x^2-9x-18
O
O A. (x - 2)
B. (x + 1)
Oc. (x - 6)
D. (x + 2)
Answers
Answer:
i think i'ts D. (x +2)
Step-by-step explanation:
Over 5 days, Jaasiel practices soccer for a total of 3 hours. Jaasiel practices baseball for the same amount of time each day. If he practiced soccer and baseball for a total of 30 hours, how many hours per day did Jaasiel practice baseball? *
Answers
Answer:
3 HOURS
Step-by-step explanation:
HE PRACTICED 3 HOURS A DAY IN BOTH SPORTS MEANING IN 1 DAY HE PRACTICED A TOTAL OF 6 HOURS 6 HOURS A DAY FOR 5 DAYS IS EQUAL TO 30 HOURS OF PRACTICE A WEEK FOR BOTH SPORTS. SO 6 HOURS A DAY TOTAL AND 3 HOURS A DAY IF YOU ONLY COUNT 1 OF THE 2 SPORTS MENTIONED.
explain for a brainlist !!!!!!!!!!
Answers
Step-by-step explanation:
cross multiply
so it will be
2y= -1x+5
2y+x=5
thats the only part i know
pls help i'll give brainliest. Write an equation that represents the line.
Answers
Answer:
y=2/x=1 y=4/x=4
Step-by-step explanation:
If the length of each side of a cuboid decreases by 20%, find the percentage decrease in its volume.
Solution : (Identify the ratio of the length of one edge of the original cuboid and the length of one edge of the new cuboid)
Answers
Answer:
Step-by-step explanation:
(1+25 /100) (1-20/100) (1-50/100) <1
5/4 x 4/5 x 1/2 <1
Decrease in volume (in percent)
(1+25 /100) (1-20/100) (1-50/100) x 100
=48.8%
15. Describe and correct the error in finding the intercepts of the graph of the equation.
Х
6x + 9y
= 18
6x + 9(0) = 18
6x = 18
6x + Oy 18
6(0) + 9y = 18
9y =
= 18
X = 3
y = 2
The x-intercept is at (0,3), and the y-intercept is at (2, 0).
Answers
Answer:
Wrong order!
Step-by-step explanation:
There's a reason why coordinates are called an "ordered pair", and for every point (a, b) a is the x coordinate and b is the y coordinate. The calculations are correct, the way reporting them are not: the point should be (3.0) and (0,2) - in fact, all points on the x axis are of the form (p, 0) and all points on the y axis of the form (0,q)
What have you learned about geometric relationships?
PLEASE HELP 15 POINTS
Answers
Answer:
that you can define a tangent relationship between a line and an arc. If the adjoining elements change, the tangent relationship is maintained between the elements. Geometric relationships control how a sketch changes when edits are made.
Step-by-step explanation:
i took this i guess and it was gud
graph using the slop and y intercept
Answers
Answer:
the slop is -1/2 and they y intercept 2
A line passes through point A (12,18). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A . Use point A to write an equation of the line in point-slope form.
Answers
The answer is 18, 0
You gotta trust me
Please help asap! I will give brainliest for correct answer!
Answers
Answer:
0.01miles/day
Step-by-step explanation:
1: Convert 9cm to miles
[tex]9cm*(\frac{1m}{100cm})*(\frac{1km}{1000m})*(\frac{1mile}{1.609km})=0.000055935miles[/tex]
2: Convert 5.5 minutes to days
[tex]5.5minutes*(\frac{1hour}{60minutes})*(\frac{1day}{24hours})=0.003819444 days[/tex]
3. Set miles over days
[tex]\frac{0.000055935miles}{0.003819444days}[/tex]
4: Divide to get the answer
0.014644 miles/day
5: Round to get the final answer
0.01 miles/day
Simplify:
-0.2sqrt(x^2)
Answers
Answer:
-0.2x
Step-by-step explanation:
-0.2*sqrt(x^2)
-0.2x
Select two national treasures saved by Dolley Madison.
Gilbert Stuart's portrait of George Washington
A bust of Thomas Jefferson
The Declaration of Independence
The U.S. Constitution
Answers
Answer:
Gilbert Stuart's portrait of George Washington The U.S. Constitution
Step-by-step explanation:
Answer: Gilbert Stuart's portrait of George Washington
The Declaration of Independence
Step-by-step explanation:
the ball started at the 5 yard line. what is the position of the ball after these two plays
Answers
Answer:
you have to show a diagram or I can't help you
$4 is what percent of 50
Answers
Answer:
8%
Step-by-step explanation:
4/50 = 0.08 = 8%
Steps to solve "what percent is 4 of 50?" If you are using a calculator, simply enter 4÷50×100 which will give you 8 as the answer.
Perpendicular to y=-2x+1, but passes through (-4,4)
Answers
answer please help me out
Answers
Answer:
Hey just search up an algebraic calculator I finished my homework with it lol
Step-by-step explanation:
How far is it around the perimeter of crater lake?
Answers
Plz help fast.
I will mark Brainlyist
Answers
You rent an apartment that costs $1000 per month during the first year, but the rent
is set to go up $160 per year. What would be the monthly rent during the 10th year of
living in the apartment?
Answers
Answer: In the tenth year your rent would be 2440 a month.
Hope this helps!
