Answer:
vertex is (-1,-1)
Step-by-step explanation:
2 ways
1. get into vertex form y=a(x-h)^2+k
2. use math hacks
1.
vertex is (h,k) in y=a(x-h)^2+k
complete square
y=(2x^2+4x)+1
y=2(x^2+2x)+1
y=2(x^2+2x+1-1)+1
y=2((x+1)^2-1)+1
y=2(x+1)^2-2+1
y=2(x+1)^2-1
y=2(x-(-1))^2+(-1)
vertex is (-1,-1)
2.hack way
in form y=ax^2+bx+c
x value of vvertex is -b/2a
given
y=2x^2+4x+1
b=4, a=2
xvaluevertex=-4/(2*2)
xvaluevertex=-4/4=-1
sub back to find y value
y=2(-1)^2+4(-1)+1
y=2(1)-4+1
y=2-4+1
y=-1
y value is -1
Answer:
(-1,-1)
Step-by-step explanation:
To find the x coordinate, we use the formular x = -b/2a where b=4 and a = 2 from the given function.
hence x = -(4)/2(2) = -1
then to get the y coordinate we substitute the value of x into the given function, so y = 2(-1)^2+4(-1)+1 = -1
therefore, the vertex is (-1,-1)
this year a farmer planted 300 acres of corn. this was 1.5 times as many acres as he planted last year. how many acres did he plant this year?
Deanna and Lisa are playing games at the arcade. Deanna started with $15, and the machine she is playing costs $0.75 per game. Lisa started with $13 and her machine costs $0.50 per game. After how many games will the girls have the same amount of money remaining?
Answer: After they've played 8 games, they will have the same amount of money remaining.
Step-by-step explanation:
Represent the number of games by the variable x and the remaining amount of money by the variable y.
Deanna's situation can be represented by the equation y = 15 - 0.75x
Lisa's situation can be represented by the equation y = 13 - 0.50x
Now to find out how many games they will have the same amount of money remaining, you have to use substitution and solve for x.
15 - 0.75x = 13 - 0.50x
-13 -13
2 - 0.75x = - 0.50x
+0.75x +0.75x
2 = 0.25x
x = 8
Shannon rode her bike 6 miles in 24 minutes. Find her average rate in miles per hour.
HELP!
Answer:
.25 Mph
Step-by-step explanation:
6 divided by 24
=
0.25
c
13
4.
B
What is the the value of sin (0)
*Enter exact value only with rationalized denominator.
Answer:
b mi disputa amigo se eu erra
what are the numbers for each fruit
Answer:
wha- Can you be a little more vague?
Step-by-step explanation:
Answer:
i am lost sorry i can't help
Help
Help
Help
Help
Help
Answer:
1.92
Step-by-step explanation:
multipy 8 by .08 to get the sales tax amount
to find the total cost (if you need it) add the sales tax to the original cost
hope it helps
Answer:
1.92
Step-by-step explanation: niueikieoewdn4u
The ladder of a fire truck extends 41 ft. to the top of the
building. If the distance between the wall and the base of the
ladder is 9ft. How tall is the building?
Answer:
Step-by-step explanation:
By the Pythagorean Theorem a^2+b^2=c^2 or the sum of the squared sides is equal to the hypotenuse squared.
41^2=9^2+h^2
h^2=41^2-9^2
h^2=1600
h=40 ft
Liquid A and liquid B are mixed to make liquid C.
Liquid A has a density of 70 kg/m Liquid A has a mass of 1400 kg
Liquid B has a density of 280 kg/m Liquid B has a volume of 30 m
Work out the density of liquid C.
Answer:
Density is defined as:
Density = mass/volume.
We know that:
For liquid A:
Density = 70kg/m^3
Mass = 1400kg
Then the volume is:
Volume = mass/density = (1400kg)/(70kg/m^3) = 20 m^3
For liquid B:
Density = 280 kg/m^3
Volume = 30m^3
We can find the mass of liquid B as:
mass = density*volume = (280kg/m^3)*(30m^3) = 8400 kg
We know that liquid C is a mixture of liquid A and B.
Then the mass of liquid C will be equal to the sum of the masses of liquid A and B, then:
Mass of liquid C = 1400kg + 8400kg = 9800kg
The same happens for the volume, then:
Volume of liquid C = 30m^3 + 20m^3 = 50m^3
Then the density of liquid C is:
Density of liquid C = (9800kg)/(50m^3) = 196 kg/m^3
If I have a 75% chance of winning a bet, what would the odds be that I WON'T be profiting after 15 bets? (Assume I bet the same amount each bet)
Answer:
Yes
Step-by-step explanation:
How many times you do it it would still be 75%
1/3 of 5/8 as a fraction
Answer: how are you doing this tho
Step-by-step explanation:
The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
1/3 of 5/8 as a fraction
Let x be the fraction:
x = 1/3 of 5/8
Or
x = (1/3)(5/8)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
After multiplication:
x = 5/24
Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Can anyone help me please
Answer:
y = 120
Step-by-step explanation:
y = 4x (corresponding angles)
y + 2x = 180
substitute the value of y into the second equation
4x + 2x = 180
6x = 180
x = 30
now that we have the value of x, plug it into either equation and solve for y
y = 4 (30)
y = 120
what number is less than 15.22 Enter your answer as a decimal in the box
Answer:
15.10 or -15.22
Step-by-step explanation:
Translate the verbal expression into an algebraic expression
Six more than the quotient of a number and 4.
Answer:
4x+6
Step-by-step explanation:
The quotient of a number and 4 translates to 4x because, "a number" in the expression is x, and it is being multiplied by 4, so you get 4x. six more than would mean adding 6. So the answer would be 4x+6. Thank you! Good Luck!
Go Green, a landscaping company, has seven employees including the manager, Zenya. The yearly salary for each employee is shown in the table
Employee
Jimmy
Aysel
Dakota
Sven
Anika
Miku
Zenya
Salary
$18,000
$22,000
$21,000
$24,000
$25,000
$20,000
$46,000
If Go Green is placing an ad on the Internet to hire an additional employee, which measure would be most accurate to determine the salary of the 8th employee?
O mean
O median
O mode
interquartile range
Answer:
Mean
Step-by-step explanation:
Each side of the regular hexagon below has the same measure.
A hexagon with side lengths of 2.5 feet.
If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options..
Answer:
Step-by-step explanation:
Now, the hexagon as equal sides, the original has 2.5ft sides, if we multiply this by the scale factor 6, we would have . This means that the model hexagon is gonna sides of 15 feet
WILL MARK BRAINLIEST! Kody’s alarm rings every 11 minutes, and his dad calls upstairs every 15 minutes to wake him up. But Kody will only wake up if his alarm rings and his dad calls him at the same time. If his alarm first rings at 7:00 a.m. and his dad first calls him at 7:05 a.m., at what time will Kody wake up?
Answer:
10:15
Step-by-step explanation:
square root of 32-square root of 72
Answer:
-2 square root 2
Step-by-step explanation:
square root 72= 8.48528
square root 32= 5.65685
8.48528-5.65685=2.82842
write a word problem that can be modeled by the equation x + 5 = 12
Answer:
x=7
Step-by-step explanation:
x+5=12
-5 -5
x=7
Use the information given to enter an equation in standard form.
Slope is 0, and (4, 6) is on the line.
Answer:
[tex]y - 6 = 0[/tex]
Step-by-step explanation:
Given
[tex]m = 0[/tex] --- slope
[tex](x_1,y_1) = (4,6)[/tex]
Required
The equation in standard form
This is calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
So, we have:
[tex]y - 6 = 0(x - 4)[/tex]
[tex]y - 6 = 0[/tex]
In standard form, the equation is:
[tex]y - 6 = 0[/tex]
please help on my geometry homework
Answer:
(9,2) is the answer sorry for late reply
I am not understanding this topic in math and I have a huge test tomorrow and I need to sleep, I forgot about this assignment and I would really appreciate it if someone could help me out with this!!! ❤️
Answer: (-3,-4)
Step-by-step explanation:
If the any x variable is repeated, it is not a function!
Can someone help me with this please?
Answer:3:7
Step-by-step explanation:
1/8 and 9/5 common denominator and solve the problem
Answer:
Step-by-step explanation:
You haven't stated a problem. Do you want to add the fractions together? Subtract them?
Least common multiple of 8 and 5 is 40.
1/8 = 5/40
9/5 = 72/40
1/8 + 9/5 = 5/40 + 72/40 = 77/40 = 1 37/40
Each rectangle below has an area of 4 cm? Each square has an area of 2 cm?
If a rectangular box were made from the pattern, what would be the surface area?
Answer:
Literally any even number that’s not two or four
Step-by-step explanation:
I need a layout
HELP! have this assignment due in 30 mins and i dont know how to do this please help i have a D in this class
1 A rectangular playground has a width of 540 feet and a length of 810 feet. Martina makes a scale model of the playground using a scale of 4 cm :
30 ft .What are the dimensions of Martina’s scale model?
A135 cm by 202.5 cm
B72 cm by 108 cm
C54 cm by 81 cm
D18 cm by 27 cm
Answer:
A
Step-by-step explanation:
there are 135 '4cm' segments in 540 feet; 540 ÷ 4
there are 202.5 '4cm' segments in 810 feet; 810 ÷ 4
need a answer ASAP!
In a class of 32 students, 16 students study Spanish, 14 students are in band, 6 students are in both Spanish and band. What is p(Only Spanish Student)?
Answer:
Step-by-step explanation:
16 students study spanish, but 6 student that study spanish are also in the band.
16-6=10
So there are 10 students who only study spanish.
A Ferris wheel has a radius of 37 feet. The bottom of the Ferris wheel sits 0.6 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise.
Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o'clock position, a.
f(a)=
Write a function g, that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating, s.
g(s)=
Answer:For the first one, it should be f(a)=37.8(1-cos(a))+.7. My dearest apologies because I do not know why. I just used context from the previous questions. I hope that helps..!
Step-by-step explanation:
The height of the given Ferris wheel can be described with the aid of a
sinusoidal function.
The height above the ground in terms of the angle turned, a, is
presented as follows;
[tex]\underline{f(a) = 37 \cdot sin \left (a - \dfrac{\pi}{2} \right) + 0.6}[/tex]The height above the ground in terms of the distance traveled, s, is
presented as follows;
[tex]\underline{g(s) = 37 \cdot sin \left (\dfrac{37}{s} - \dfrac{\pi}{2} \right) + 0.6}[/tex]Reason:
The general form of an equation of a Ferris wheel is presented as follows;
f(a) = A·sin(a + C) + D
Where, the amplitude, A = The radius = 37 ft.
D = The midline = Height above the ground + The amplitude
D = A + 0.6 = 37 + 0.6 = 37.6
The 6 O'clock is the lower most position, therefore, at the start, where, 'B·t + C' = 0, we have;
f(a) = A·sin(0 + C) + D
Therefore
f(a) = 37·sin(0 + C) + 37.6 = 0.6
f(a) = 37·sin(C) = 0.6 - 37.6 = -37
[tex]sin(C) = \dfrac{-37}{37} = -1[/tex]
C = sin⁻¹(-1) = [tex]-\dfrac{\pi}{2}[/tex]
The equation of Ferris wheel is presented as follows;
Which gives the equation of the height above the ground (in feet) in terms
of the number of radians, a, you have swept out from the 6 O'clock
position is given as follows; Ferris ;
[tex]\underline{f(a) = 37 \cdot sin \left (a - \dfrac{\pi}{2} \right) + 0.6}[/tex]Part 2
s = a·r = a·A
Therefore;
[tex]a = \dfrac{r}{s} = \dfrac{A}{s} = \dfrac{37}{s}[/tex]
Plugging the value of s into the above equation gives the function that
determines the height above the ground (in feet) in terms of the number of
feet traveled g(s) as follows;
[tex]\underline{g(s) = 37 \cdot sin \left (\dfrac{37}{s} - \dfrac{\pi}{2} \right) + 0.6}[/tex]Learn more here:
https://brainly.com/question/23844627
Niles scored 70, 74, 72, 71, 73, and 96 on his 6 Geography test. Calculate the mean and median.
Answer:
Mean=76
Median=72.5
Step-by-step explanation:
Mean= 70+71+72+73+74+96
456/6=76
Median = 70,71,72,73,74,96
72+73=145/2=72.5
Mean= 76
Median= 72.5
The first step is to rearrange the numbers
70, 71, 72, 73, 74, 96
1. mean= sum of terms/number of terms
= 70+71+72+73+74+96/6
= 456/6
= 76
2. Median can be described as the middle number, the median can be calculated as follows
= 72+73/2
= 145/2
= 72.5
Hence the mean is 76 and the median is 72.5
Please see the link below for more information
https://brainly.com/question/12594842?referrer=searchResults
Max points! I need these answered quick
Answer:
4) 1/5
5) 5/28
6) 7/36
Step-by-step explanation:
4) 3/15=1/5
5) 5/28
6) 14/72=7/36
Answer:
3/5 × 1/3 = 1/5
5/7 × 1/4 = 5/28
7/8 × 2/9 = 7/36
Step-by-step explanation: