Answer:
vertex = (4, - 37 )
Step-by-step explanation:
the equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = 2x² - 16x - 5 ← factor 2 out of the first 2 terms
= 2(x² - 8x) - 5
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
f(x) = 2(x² + 2(- 4)x + 16 - 16) - 5
= 2(x - 4)² - 32 - 5
= 2(x - 4)² - 37 ← in vertex form
with vertex = (4, - 37 )
Where can i revise for my end of year maths assessment
Answer:
Huh??
where on brainly
Step-by-step explanation:
help asap please!! <3
Answer:
y = -2x + 4 or y = -2(x - 2)
Step-by-step explanation:
Equation of Line AB
y = mx + cm = slopec = y-interceptFinding slope (m)
m = -2 - 6 / 3 + 1m = -8/4m = -2Finding c using point slope equation
c - 6 = -2(0 + 1)c - 6 = -2c = 4Equation
Line AB : y = -2x + 4 or y = -2(x - 2)Answer:
The easiest way to do this is to put the line into slope intercept form. This is equal to y = mx + b, where m is the slope and y is the intercept. I'm assuming the point at which the line intercepts the y axis is at (0, 4) The graph isn't numbered, so its hard to tell.
Assuming b = 4, we need to find m
Slope = rise / run
Or
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]
Substitute -2 for y2, 6 for y1, 3 for x2 and -1 for x1
[tex]m = \frac{-2 - 6}{3 - -1}\\ m = \frac{-8}{4}\\m = -2[/tex]
Plug these values in and
[tex]y = -2x + 4[/tex]
When you graph this on desmos, the two points (-1, 6) and (3, -2) are on the graph. Therefore, I'm assuming the y intercept was in fact 4 :)
What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
18 in
19 in
cubic inches
I
Answer:
V = 19329.14 cubic inches
Step-by-step explanation:
Volume of cylinder
[tex]V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h[/tex]
r ... radius of circle
h ... height of cylinder
Given information:
r = 18 in
h = 19 in
Now let's substitute the values in formula.
[tex]V = \pi r^2 \times h \\V = \pi (18)^2 \times 19\\V = 6156\pi\\V = 6156 \times 3.14\\V = 19329.84 \text{ in}^2[/tex]
The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. One rider has an average speed of 73.3 feet per second and completes the course in 30 seconds.
A) What is the constant of variation?
B) If another rider completes the course in 25 seconds, what was his speed?
The value of the constant of variation is 2,199 feet. The speed of the another rider is 87.96 feet/sec.
What is the directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as
p∝q where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n be two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called the constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
A.) The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. Therefore, the relationship can be written as,
Average speed ∝ (1/time)
Now, if the constant of variation is introduced then the relationship can be written as,
Average speed = k(1/time)
Substituting the values, we will get,
[tex]73.3\frac{ feet}{second}= k \times \dfrac{1}{30\ seconds}\\\\73.3 \frac{ feet}{second}\times 30\ seconds = k\\\\k = 2,199\ feet[/tex]
Hence, the value of the constant of variation is 2,199 feet.
B.) The speed of the another rider is,
Average speed = k(1/time)
Average speed = 2,199×(1/25) feet/sec
Average speed = 87.96 feet/sec
Hence, the speed of another rider is 87.96 feet/sec.
Learn more about Directly and Inversely proportional relationship:
https://brainly.com/question/13082482
#SPJ1
a vertical meter stick casts a shadow of 0. 4 meters. if a tree casts a shadow of 12 meters at the same time, how tall is the tree?
The height of the tree is 30 times the height of the verticle stick.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
A vertical meter stick casts a shadow of 0. 4 meters.
If a tree casts a shadow of 12 meters at the same time.
Let x be the height of the stick and y be the height of the tree. Then we have
y/x = 12/0.4
y/x = 30
y = 30x
The height of the tree is 30 times the height of the verticle stick.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ1
Pls answer the follwing
Answer:
Step-by-step explanation:
4 (x + 2) =30
4x + 8 = 30
4x = 30 - 8
4x = 22
x = 22 : 4
x = 5.5
check
(5.5 + 2) * 4 = 30
the answer is good
Answer:
the cost of each sandwich is 5.5
Step-by-step explanation:
we have,
4(x+2) = 30
we know a(b+c) = ab+ac
so, when we open the bracket we get,
4(x+2) = 4x+4*2 which is equal to 4x+8
so, 4x+8 = 30
=> 4x = 30 - 8 [transposing method]
=> 4x = 22
=> x = 22/4
=> x = 5.5
hope this helps
Geometry
7&8&9. Find the value of x.
Answer:
Step-by-step explanation:
help it’s due in an hour and I’m stuck
8. People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor?
The probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
What is the probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
People with type O-negative blood are known as the universal donors, which means any patient can receive a transfusion of O⁻ blood from the donors.
Only 7.2% of the population of America has O-negative blood group. Thus, the probability of this population to donate blood is,
[tex]P=\dfrac{7.2}{100}\\P=0.072[/tex]
The probability of population to be not O-negative,
[tex]P^{-1}=1-0.072\\P^{-1}=0.928[/tex]
The 10 people appear at random to give blood. The probability of at least 1 of them is a universal donor is,
[tex]P{\text { at least 1 }}=1-(0.928)^{10}\\P{\text { at least 1 }}=0.526[/tex]
Thus, the probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
Learn more about the probability here;
https://brainly.com/question/24756209
#SPJ1
Which results only in a horizontal compression of y = StartFraction 1 Over x EndFraction by a factor of 6? y = StartFraction 1 Over 6 x EndFraction y = negative StartFraction 1 Over 6 x EndFraction y = StartFraction 6 Over x EndFraction y = negative StartFraction 6 Over x EndFraction.
Using translation concepts, it is found that an horizontal compression of [tex]y = \frac{1}{x}[/tex] is found in the following function:
[tex]y = \frac{1}{6x}[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In a function, a horizontal compression is found when x in the domain is multiplied by a constant greater than 1, that is, g(x) = f(ax), a > 1.
Hence, for [tex]y = \frac{1}{x}[/tex], the pure horizontal compression is:
[tex]y = \frac{1}{6x}[/tex].More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
Answer:
A is correct! y=1/6x
Step-by-step explanation:
8 is 80% OF WHAT NUMBER?
155 is 25% of WHAT NUMBER?
Answer:
8 is 80% of 10
155 is 25% of 465
Step-by-step explanation:
the first one is easy, and the second one, 25% is 1/4, so if you multiply 155 by 4, you get 465
A map shows that the vertices of a backyard are $W\left(-100,-70\right),\ X\left(-100,0\right),\ Y\left(0,0\right),$ and $Z\left(-60,-70\right)$ . The coordinates are measured in feet. The line segment $XZ$ separates the backyard into a lawn and a garden. The area of the lawn is greater than the area of the garden. How many times larger is the lawn than the garden?
i need a picture to answer this
Step-by-step explanation:
bc i said so
So I have a 90.8 in a class the final is 15% of the grade there is a final worth 3.75% of the final grade and a final worth 11.25% of the final grade. I know I have to get a 87% in total on the final grade but what grade would I have to get on each test separately. What would be the worst possible grade I could get on both finals to still end up with a A.
Answer: I know this answe won't be that helpful but I'm pretty sure worsth you can get on both is like a high B. Its pretty hard to tell since you'll be dealing with like formative summative precentages and total point precentages or something But in my honest opinion seems like a high B on one and maybe like a 83-84 on the other.
I'll give brainiest to the first person to respond BUT only if the answer is correct
How do I find the difference -6 - (-9)
Pls explain how I can do negatives and positives numbers
Answer:
Step-by-step explanation:
-6 - (-9)
1) Remove parentheses
-6 + 9
2) Simplify
3
See attachted image for rules of positive and negative integers.
Source: YourDictionary
Attendance at a state park throughout the year is found to be periodic and can be modeled by a
sine function. The attendance ranges from a low of approximately 1,000,000 visitors in September
to a high of approximately 2,000,000 visitors in March. If t is the month number, where t = 1 is January, and N(t) is the attendance, in millions, of visitors, which of the functions can be used to
model this behavior?
N(t) = 1.5 sin(t) + 0.5
N(t) = 0.5 sin(t) +1.5
N(t) = 2 sin ( ₹t) – 1
N(t) 0.5 sin(2t) + 1.5
The sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
The attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
We know the sine function is:
y = Asin(w + c) + s
Here:
A is amplitude
w is angular velocity,
s is vertical Displacement,
c = phase angle
A = (2000000 - 1000000) /2 = 500,000
w = 2π/T
T = 12
w = 2π/12 = π/6
s = (1000000 +2000000) /2 = 3,000,000/2 = 1,500,000
500,000sin(π/6 + 0) + 1500000
500000sin(π/6)+1500000
or
0.5sin(πt/6) + 1.5
Thus, the sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
please help me with this question!
Answer:
figure
Step-by-step explanation:
it out urself
thanks
A bird bath that is 4 ft. tall casts a shadow that is 6ft. long. find the length of the shadow that 6 ft. tent casts.
a) 9ft.
b) 3ft.
c) 10ft.
d) 4ft.
Answer:
a) 9 ft.
Step-by-step explanation:
The bath and the tent along with their shadows and the ground make 2 similar triangles. So:
4/6 = 6/x
4x = 36
x = 9 ft.
write in point slope form an equation of the line that passes through the given point and has the given slope: (0,1); m= 2
A. y - 0 = 2 (x - 1)
B. y - 1 = 2 (x - 0)
C. y + 1 = 2 (x + 0)
D. y + 0 = 2 (x + 1)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
Point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Substitute 1 for y₁, 2 for m, and 0 for x₁:-
[tex]\sf{y-1=2(x-0)}[/tex]
So we conclude that Option B is correct.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Write 0.030 in scientific notation
Please help :)
Please help me with my math please?
Answer:
y = y coordinate
m = slope
x = x coordinate
b = y intercept
Line passes through (2, -1) and slope of 1/3
Step 1y = mx + b, Identify: x = 2, y = -1, slope: [tex]\sf \frac{1}{3}[/tex]
insert following values
[tex]\rightarrow \sf -1 = \dfrac{1}{3} (2) + b[/tex]
multiply
[tex]\rightarrow \sf -1 = \dfrac{2}{3} + b[/tex]
switch sides
[tex]\rightarrow \sf b = -1 - \dfrac{2}{3}[/tex]
subtract
[tex]\sf \rightarrow b = -\dfrac{5}{3}[/tex]
convert to mixed fraction
[tex]\sf \rightarrow b = -1\dfrac{2}{3}[/tex]
Step 2y = mx + b, m = [tex]\sf \frac{1}{3}[/tex], b = [tex]-1\frac{2}{3}[/tex]
insert following values
[tex]\rightarrow \sf y = \dfrac{1}{3} x -1\dfrac{2}{3}[/tex]
PLEASE HELPPPPPP TYSMMMM
Answer:
292<298xj=158
Hope this helps!
help me please im like so desperate rn
Answer:
See below
Step-by-step explanation:
GCF of 36 and 4 is welllll, just 4
so 36 - 4 = 4*9 - 4 = 4 ( 9-1) ( I THINK that is what goes here)
Can someone please answer my trigonometry problem? I've been trying to get answers all day for something so minimal.
Find each measurement indicated. Round your answers to the nearest tenth.
Answer:
∠B ≈ 30.0°
Step-by-step explanation:
The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.
__
sin(B)/b = sin(C)/c
sin(B) = (b/c)sin(C) . . . . solve for sin(B)
sin(B) = (14/28)sin(91°) ≈ 0.49992385
The angle is found using the inverse sine function:
B = arcsin(0.49992384) ≈ 29.99496°
Rounded to tenths, the angle is ...
m∠B ≈ 30.0°
_____
Additional comments
Many triangle solver apps and web sites are available if all you want is an answer.
When using your calculator, be sure the angle mode is set to "degrees."
The Law of Sines can also be used to solve a triangle when two angles and one side are known.
Round 425 to the nearest ten and to the nearest hundred
Answer:
400
Step-by-step explanation:
425 is rounded to 430 because 5 rounds up the number. 430 rounded to the nearest hundredth is 400 because 3 is below five.
Answer:
nearest tenth: 430
nearest hundredth: 400
Step-by-step explanation:
5 and above rounds up hense 430 and below 50 rounds down hense 400
can anyone tell me what angle Y is?
Answer:
Step-by-step explanation:
93 + y = 180
y = 180 - 93
y =87 Degrees
Answer:
87°
Explanation: The angles y and 93° are supplementary angles.
Therefore, subtract 93° from 180°, and voila! You got the answer.
grace likes jeffery what will she do ?
Answer:
2,964
Step-by-step explanation:
52 x 57 = 2,964
sophie leaves school and travels east at an average speed of 40km/h, jenny leaves school one hour later and travels west at an average speed of 50km/h, determine how many hours after jenny leaves school they will be "400km" apart
Considering the speeds given, it is expected Sophie and Jenny are 400 km apart after a total of 5 hours.
How will their position change over time?Jenny:
1 hour later: 40 km east2 hours later: 80 km east3 hours later: 120 km east4 hours later: 160 km east5 hours later: 200 km eastSophie:
1 hours later: 0 km2 hours later: 50 km west3 hours later: 100 km west4 hours later: 150 km west5 hours later: 200 km westWhen wil they be 400 km apart?It is expected 5 hours later they are 400km apart because at this time each of them will be 200km away from school.
Learn more about kilometers in: https://brainly.com/question/13987481
#SPJ1
Amanda measures the top of an 80 cm
desk to be 82.4 cm. Dwayne measures
the height of a 140 cm cabinet to be
a
137.2 cm. Which student has a greater
percent error?
Answer:
Amanda's percent of error: = .03 or 3% Dwyane's percent of error: = .02 = 2%
Looks like Amanda had the larger error.
Please answer quickly! 50 POINTS! Brainliest!
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water:
graph of y equals minus 2 times the square of x plus 20 times x plus 400
What do the x-intercepts of the graph represent? (5 points)
The water had no larvae at −10 degrees Celsius and 20 degrees Celsius.
There were 20 larvae in the water at 0 degrees Celsius.
The water had maximum larvae at −10 degrees Celsius and 20 degrees Celsius.
There were 10 larvae in the water at 0 degrees Celsius.
Answer:
The water had no larvae at −10 degrees Celsius and 20 degrees Celsius.
Step-by-step explanation:
We are given the function, [tex]y = -2x^{2} + 20x + 400[/tex]
where
x = temperature of water (in degrees)
y = number of insect larvae in water
What do the x-intercepts of the graph represent?
The x - intercept is when y = 0, and y is the number of insect larvae in the water. So this means there is NO insect larvae in the water.
[tex]y = -2x^{2} + 20x + 400\\0 = -2x^{2} + 20x + 400\\quadratic \ formula:\\\frac{-20 + \sqrt{20x^{2} -4(-2)(400)}}{2(-2)} \\\frac{-20 +\- 60}{-4} \\\frac{-20 + 60}{-4} = -10\\\frac{-20 - 60}{-4} = 20[/tex]
Hence, when there was no larvae in the water, the water temperature was 20 and -10