Answers
Answer:
180 meters
Step-by-step explanation:
The function you have here is negative function meaning the function has a concave down parabola (if you graph it on desmos or a graphing calculator you'll see what I'm talking about).
So they gave it to you in factored form and asked you to find the max. The max of this function is at the vertex of the parabola. In order to find the vertex you have distribute or multiply to get the original polynomial.
-5(x-8)(x+4)
-5(x^2+4x-8x-32)
-5(x^2-4x-32)
-5x^2-20x-160
Vertex formula is: -b/2a
b = 20
a = -5
[tex]\frac{-20}{2(-5)}[/tex]
= 2
The x-coordinate of the vertex is 2.
Plug 2 into the equation
-5(2)^2+20(2)+160
= 180 meters
Related Questions
FAST ANSWER PLEASE THANKS
Answers
Answer:
Option (1).
Step-by-step explanation:
Given functions are f(x) = [tex]\frac{1}{x}[/tex] and g(x) = x - 2
(fog)(x) = f[g(x)]
By substituting g(x) in place of x in the function f(x),
f[g(x)] = [tex]\frac{1}{(x-2)}[/tex]
Graph of the function f[g(x)] will have,
Vertical asymptotes : x = 2
Horizontal asymptotes : y = 0
And no oblique asymptotes.
Out of four options graph number (1) matches the given characteristics of the function.
Therefore, graph (1) will be the answer.
Which expression has the least value?
A. 3(33)
B. 0 31-33)
C. 0-31-33)
D. 3(3-3)
Answers
Answer:
I think it is C but can't be sure because B isn't clear.
Step-by-step explanation:
Zoe mows lawns in the summer to earn extra money. She usually charges $15 per week, but she offers a special rate of $59.50 if a customer prepays for 5 weeks. How much does a customer pay for each week with the special rate? (Please enter your answer without units.) *
Answers
Answer:$11.90 each week for 5 weeks
Step-by-step explanation:
$59.50/5 = $11.90
Solve this system of equations by
using the elimination method.
x + y = 15
5x - y = 9
Answers
Answer:
x=4 and y=11
Step-by-step explanation:
x+y=15
5x-y=9
x+5x-y+y=15+9
6x=24
X=4
x+y=15
4+y=15
y=11
Find m∠HIJ if m∠HIQ=25x+1 and m∠QIJ= 100 ∘ and m∠HIJ=127x−1, What is HIJ?
Answers
Explanation:
127x - 1 = 100 + 25x + 1
127x - 1 = 101 + 25x
-25x -25x
102x - 1 = 101
+1 +1
102x = 102
/102 /102
x = 1
Please please please help !!!
Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:
A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)
A)Figure ABCD is similar to figure A′B′C′D′.
B)Figure ABCD is bigger than figure A′B′C′D′.
C)The measure of angle D is equal to the measure of angle A′.
D)The measure of angle D is equal to the measure of angle B′.
Answers
Answer:
A
Step-by-step explanation:
These shapes are not identical, because the angles and sides are mirrored, but much like a mirrored object, they are similar. Another way to explain it is when you look into a mirror what you are seeing is not what people see when they see you with their eyes, it's a REFLECTION!
The correct option is Option A: figure ABCD is similar to A′B′C′D′.
What is reflection?Reflection is the translation of the figure about an axis or point so that the distance of the reflected figure from the axis is the same as the distance of the original figure from the axis.
When a point of coordinate (x,y) is reflected about the y-axis then the coordinate of the reflected point will be (-x,y).
In quadrilateral ABCD the coordinate of A is (2,5) and the coordinate of A' is (-2,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point A' is the reflection of point A.
In quadrilateral ABCD the coordinate of B is (1,2) and the coordinate of B' is (-1,2). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point B' is the reflection of point B.
In quadrilateral ABCD the coordinate of C is (3,1) and the coordinate of C' is (-3,1). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point C' is the reflection of point C.
In quadrilateral ABCD the coordinate of D is (4,5) and the coordinate of D' is (-4,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point D' is the reflection of point D.
So all the points of quadrilateral ABCD are reflected about the y-axis.
As it is a reflection about the y-axis for which the size will not be changed and both the reflected and the original figure will be similar.
Therefore the correct option is Option A: figure ABCD is similar to A′B′C′D′.
Learn more about reflection
here: https://brainly.com/question/15175017
#SPJ2
Someone tell me answer!!!
Answers
Answer:
X=70
Step-by-step explanation:
180-120=60
60 + 50=110
180-110=70
Answer:70°
Step-by-step explanation:
missing angle- 180°-120°= 60
a total triangle= 180°
so x = 180-(50+60)
=180-110
x=70°
6x-2x+8y-6y (algebra answr very urgent
Answers
Combine like terms
6x - 2x = 4x
8y - 6y = 2y
4x + 2y
I hope this helps :)
The solution to the expression 6x - 2x + 8y - 6y is 4x + 2y
How to determine the solution to the expressionFrom the question, we have the following parameters that can be used in our computation:
6x - 2x + 8y - 6y
Collect the like terms in the expression
So, we have the following representation
6x - 2x + 8y - 6y = 6x - 2x + 8y - 6y
Evaluate the like terms in the expression
So, we have the following representation
6x - 2x + 8y - 6y = 4x + 2y
Hence, the simplified expression is 4x + 2y
Read more about expressions at
https://brainly.com/question/30492964
#SPJ6
3
7 2 4 7
5 7 1
1 8 8
What is the range?
Answers
Answer: 5
Step-by-step explanation:
Range means the difference between the largest and smallest values. Which would be 3 and 8.
What would be the answer and how would i get it?
Answers
Answer: c
Step-by-step explanation:
I very easy solve for x> then you take -3 -2 1,0 in order to get your answer
Answer:
x = {-3, -2, -1, 0, 1}
Step-by-step explanation:
We need to find the set that satisfies the inequality x > -4 ∩ x ≤ 1.
∩ means find the members that are common between two sets.
This means that we need to find the set of all integers that satisfy x > -4 and x ≤ 1
So, to find the low end, we find the lowest integer that satisfies x > -4, which is -3.
Now, to find the high end, we find highest integer that satisfies x ≤ 1, which is 1.
So x = {-3, -2, -1, 0, 1}
4. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
1. $14,310.40
2. $14,990.90
3. $15,290.70
4. $15,737.50
5. $16,935.80
Answers
Answer:
12590/80*100 = $15,737.50 4. Is your Answer
Step-by-step explanation:
12590 is 80% so simply divide by 80 and multiply by 100 to get the answer.
The probability of getting a number divisible by 3 is 3/10 using a game spinner.
The denominator of that probability is:
Answers
Answer:
B
Step-by-step explanation:
the denominator should be the total amount of outcomes.
How many tablespoons are in 5 quarts
Answers
This equals 320 tablespoons.
Maths Help Asap
The question is given below
Answer only if sure and give explanation
Answers
Answer:
40 pages
Step-by-step explanation:
240/12 = 20 = pages read in 1 hour
20 x 2 = 40 = pages read in 2 hours
Which expression is NOT equivalent to this
expression? 11y - 5
A 88y - 40
© 19y - 3
D 22y - 10
B 5y - 11
Answers
Answer:
A. 88y -40
Step-by-step explanation:
B is definitely equivalent to 11y-5 because it is reversed so it is the same if it is reversed. and D is equivalent too because 11 divided by 5 equals 2.2 same thing as 22 in this case. and C im not that sure about but i do not think that that is not equivalent...and A. is the answer is NOT equivalent because how the heck do u get 88y-40???????? the answer that is not equivalent is A. 88y-40
Hope this explained well :)
The rati of the number of moons the planet neptune has to the number that saturn has is 4 to 9 saturn has 18 moons how many moons does nepturn have ???
Answers
Answer:
HEY!
Neptune contains 8 moons.Step-by-step explanation:
18/9) *4 = 8 moons. Hence, Neptune has a total of 8 moons according to the given conditions.
help Write an equation for a line perpendicular to y=-4x+4 and passing through the point (-12,-8)
Answers
Answer: [tex]y=\frac{1}{4} x-5[/tex]
Step-by-step explanation:
Lines perpendicular to another line have inversely proportional slopes. We are given that the slope of the line is -4, so the slope of the perpendicular line will be positive 1/4. Now we have a starting point for this line:
[tex]y=\frac{1}{4} x+b\\-8=\frac{1}{4} (-12)+b\\-8=-3+b\\b=-5[/tex]
Notice how I plugged in the points given.
The maximum height of a vehicle that can pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explains whether or not the truck can pass safely under the bridge?
Answers
Answer:
The truck can not safely pass under the bridge
Step-by-step explanation:
The maximum height in inches is 149in.
12 feet times 12 inches = 144 in
144 +5 = 149in
If the truck is 162 inches than it would not be safe for it to pass under the bridge.
I hope this helps you!
−38d−57≥−19d+76 i need this asap
Answers
How?
Add -19d to both sides.
-38d + 19d -57 is greater than or equal to 76
Add 57 to both sides.
-38d +19d is greater than or equal to 76 + 57
Collect like terms.
-19d is greater than or equal to 133
Divide both sides by -19
X is greater than or equal to -7
−57≥−19d+76+38d
−57≥19d+76
−57−76≥19d
−133≥19d
-133/19 ≥ d
−7≥d
d≤−7
URGENT plz help
What is the value of y?
A.44°
B.112°
C.68°
D.56°
Answers
Answer:
C. 68
Step-by-step explanation:
Explained in image attached
jasmine gets $3.00 every time her song gets 1000 monetized streams. If 3/10 of her streams are monetized how much money would she have if she got 3 million streams?
Answers
Answer:
$270,000
Step-by-step explanation:
1. 3/10 = 30% and 30% of 3,000,000 is equal to 900,000
2. 900,000 divided by 1,000 is 90,000
Then, to calculate the dollar amount we do:
3. 90,000 x 3.00 = 270,000
In step 1, we found 3/10 of her total streams. In step 2, we found how many streams were monetized. And, in step 3 we found the amount of money she made off of those streams.
Hope this helps!
Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form
f+g
a.
-x² + 2x - 2
b. x2 - 2x + 2
x² + 2x - 4
d. 2x3 - 3x2 - 2x + 3
Please select the best answer from the choices provided
A
B
С
D
Answers
Answer:
Option C is the correct answer
[tex] {x}^{2} + 2x - 4[/tex]
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 1 \\ g(x) = 2x - 3 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = {x}^{2} - 1 + 2x - 3 \\ \purple{ \boxed{ \bold{ (f + g)(x) = {x}^{2} + 2x - 4}}}[/tex]
Answer:
Step-by-step explanation:
The value of [2-3(2-3)-1]-1 is
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
A = [2 - 3(2 - 3) - 1] - 1
The operations inside parenthesis are performed first. We have:
A = [2 - 3*(-1) - 1] - 1
The multiplication is performed next. We have:
A = [2 - (-3) - 1] - 1
Now, the operation could be performed freely in any order. (because only subtraction is remaining). We have:
A = 2 - (-3) - 1 - 1
= 2 + 3 - 1 - 1
= 5 - 2
= 3
Hope this helps!
A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 50 yards, which he decides will be the major axis of his elliptical chamber. He determines the best spots for his guests to stand to experience his whisper chamber will be 10 yards from the center of the warehouse space, which will act as the foci. How far out from the center, along the minor axis should he build out his whisper chamber?
53.9 yd
45.8 yd
26.9 yd
22.9 yd
Answers
Answer:
22.9 yards
Step-by-step explanation:
Since b² = a² - c² where a = vertex of major axis, 2a = 50 yards the length of the major axis. So , a = 50/2 = 25 yards. c = focus of chamber = 10 yards from center and b = vertex of minor axis.
So, b = ±√(a² - c²)
= ±√(25² - 10²)
= ±√(625 - 100)
= ±√525
= ±22.91 yards
≅ ± 22.9 yards
Since b = length of minor axis from center of chamber = 22.91 yards. So, he should build the whisper chamber 22.9 yards out from the center of the chamber.
if we include the end zones, a football field is 360 feet by 160 feet. What is the area of a football field in square feet? (Reminder: a football field is a rectangle - so to find the area you find length x width).
Answers
Answer:
A = 57,600 feet
Step-by-step explanation:
Area = length x width
A = 360 x 160
At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?
Answers
Answer:
3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots
Step-by-step explanation:
Answer:
answer d
Step-by-step explanation:
edg 2020
Please Help !
Find The Length Of AC .
Express Your Answer In Terms Of Pi .
Answers
Answer:
AC: 31m or 30.999m
Step-by-step explanation:
Diameter =2R = 24
Circumference = 2πR
= 24π
= 75.398223686155 m
AB = 180 diameter
180-30 = 150 degree
150/30 = 5
360/30 degree = 12
74.398223686155 /12 = 6.19985197385 x 5 = 30.9992598693 = 30.999m
These below are just checkers.
360/74.398223686155 = 4.83882520527 N/a
150/4.83882520527 =30.9992598692 N/a
A wooden plank is cut into three pieces. The ratio of the length of the pieces of wood is 6:10:12. If the length of the original wooden plank is 812 centimetres, what is the length of the longer piece of wood?
Answers
Answer:
290 centimetres
Step-by-step explanation:
The ratio of the length of the pieces of wood is 6 : 10 : 12.
We have to find the total ratio first:
6 + 10 + 12 = 28
The longer piece of wood has ratio 10.
The length of the original wooden plank is 812 centimetres, therefore, the length of the longer piece of wood is:
10/28 * 812 = 290 centimetres
I need these so i don't fail.
1.Given the points (−2,5)and (6,−1)the midpoint is? 2.Given the points (9,−4)and (−5,2)the midpoint is ? 3.Given the points (−2,−5)and (−6,7)the midpoint is?
I need the midpoints.
Answers
Answer:
1) (2,2)
2) (2,-1)
3) (-4,1)
Step-by-step explanation:
1. 3x + 5 = 5x -9
2. 2x + 5 = 3x - 3
3. 3x + 2 = 5x - 16
Pls again answer equation questions find x, I can do this but I am so exhausted.
Answers
Answer:
1)7
2)8
3)9
Step-by-step explanation:
1)3x+5=5x-9
3x-5x=-9-5
-2x=-14
x=7
2)2x+5=3x-3
2x-3x=-3-5
-1x=-8
x=8
3)3x+2=5x-16
3x-5x=-16-2
-2x=-18
x=9
Hope I am correct and if I am not I will edit my answer
Answer:
1. x= 7
2. x= 8
3. x= 9
Step-by-step explanation:
1. 3x+5= 5x-9 2. 2x+5= 3x-3 3. 3x+2 = 5x-16
3x-5x= -9-5 2x-3x = -3-5 3x-5x = -16-2
-2x= -14 -x = -8 -2x = -18
x= -14/-2 x = -8/-1 x = -18/-2
x = 7 x = 8 x = 9
