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
There are 80 picnic tables at the park. During the first weekend of the summer, there were 40 available tables. During the second weekend of the summer, there were 20 available tables. During the third weekend of the summer, there were 10 available tables. Based on the pattern, how many picnic tables will be available during the fourth weekend of the summer?
will mark brainliest
Answers
Answer:
5
Step-by-step explanation:
We can see a pattern of 1/2 as the week progresses. 1/2 of 80 is 40, 1/2 of 40 is 20, 1/2 of 20 is 10, so for the fourth week 1/2 of 10 is 5.
one x-intercept for a parabola is at the point (1,0). use the factor method to find the other x-intercept for the parabola defined by y=2x^2+2x-4
Answers
Answer:
(- 2, 0 )
Step-by-step explanation:
Given
y = 2x² + 2x - 4
To find the x- intercepts let y = 0, that is
2x² + 2x - 4 = 0 ( divide through by 2 )
x² + x - 2 = 0 ← in standard form
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
x- intercepts are x = - 2, x = 1, that is
(1, 0 ) and (- 2, 0 )
The other x- intercept is (- 2, 0 )
Algebra 2 can anyone help??
Answers
Answer:
Step-by-step explanation:
cot θ=-9.68
cotθ is negative
so θ lies in 2nd or 4th quadrant.
tan θ=-1/9.68
θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°
3.
sec θ=-9.13+5=-8.13
sec θ is negative so θ lies in 2nd or 3rd quadrant.
cos θ=(-1/8.13)
θ=cos^{-1}(-1/8.13)≈97.1°
Solve the system of equations. –6x + y = –21 2x − 1 3 y = 7 What is the solution to the system of equations? (3, 3) (2, –9) infinitely many solutions no solutions
Answers
Answer:
[tex]y = - 15 \\ x = - 94[/tex]
Step-by-step explanation:
it's not both of dem
The solution to the system of equations is x= −133/ 40 and y= −21/ 20
What is a system of equations?A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.
6x+ y= -21 is equation (1)
2x - 13y= 7 is equation (2)
Solve 6x+y=−21 for y:
6x+y=−21
6x+y+−6x=−21+−6x
y=−6x−21
Substitute −6x−21 for y in 2x−13y=7:
2x−13y=7
2x−13(−6x−21)=7
80x+273=7
Now Simplify both sides of the equation;
80x+273+−273=7+−273
Add -273 to both sides
80x=−266
x= −133/ 40
y=−6x−21
y=−6( −133 /40 )−21
y= −21/ 20
Hence x= −133/ 40 and y= −21/ 20
learn more about system of equations here;
brainly.com/question/25180086
#SPJ6
Factorise 28x+30......
Answers
Answer:
2(14x +15)
Hope it helps
......
I think that this I correct
*I WILL MARK YOU BRAINLIEST!!!!*
Answers
Answer:
A
Step-by-step explanation:
Hope it helped
Answer:Thr answer is A
Please help guys please
Answers
Answer: The answer is A
Step-by-step explanation:
please help me I’m struggling :( , sorry about it being sideways.
Answers
What is the y-value when x equals -12.
Answers
Answer:
-128 it’s on the table
Step-by-step explanation:
HEY!HERE IS UR ANSWER:
So as x=-12
Well then y=-200-6(-12)
y=-200+72 {Positive 72 cause negative 6 * negative 12 equals positive 72}
y=-128
HOPE IT MAKES UR DAY BETTER!!
Please help me do this
Answers
Answer:
Step-by-step explanation:
This is part of the Isosceles Triangle Theorem. If one theta is equal to the other theta (and they are or else they wouldn't both be theta; one would be theta and the other might be beta), that means that the sides across from those congruent angles are also congruent. That means that
6x + 6 = 9x - 9 and
15 = 3x so
x = 5
I) CD and EF are parallel lines.
AB is a straight line.
An angle of size 135 degrees is shown.
Write down the letter of one other angle of size 135 degrees given a reason for your answer on the same line.
ii) The size of angle p+q+r =
Answers
Can someone explain me how to find square root by prime factorization ?
Answers
Answer:
STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.ExampleFind the square root of 324
324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18Commutative
Property
Answers
Answer: means you can switch up the numbers
Step-by-step explanation:
so Commutative Property means you can switch up
the numbers not the sign for example.
4 × 3 × x
4 × x × 3
3 × x × 4
x × 3 × 4
x × 4 × 3
if you look at all these! they just switch
this is easier like 4x5=20 in communicative property it would be 5x4=20
Hope this helps :)
Isabelle is mixing red paint with blue paint to make purple paint. She adds of a fluid ounce of red to of a fluid ounce of blue to make fluid ounces of purple. How many fluid ounces of red paint will she need to make 3 fluid ounces of purple paint?
A.
fluid ounce
B.
fluid ounce
C.
fluid ounce
D.
fluid ounces
Answers
Answer: the correct answer will be 27/31
Step-by-step explanation:
Can someone explain how $3.79 x 2 =$7.58 is equivalent to $7.58/2=$3.79
Answers
Answer:
ehhrr idk
Step-by-step explanation:
Answer:
Because 7.85/2 mean that you are diving the top by the bottom so that would give you the answer of $3.79, I hope I answered your question how you wanted it to be I am sorry if I didn't
Step-by-step explanation:
I wiol mark you brainliest!!! Use the substitution method to solve the system of equations.
Answers
Answer: b. (6,27)
Step-by-step explanation:
y=5x- 3 x=6<---- put in the equation
y=5(6)-3 <------- mulitply 5 and 6
y=30-3 <---- subtracted
y= 27. <---- y value.
Answer being (6,27)
Hope it helps :)
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answers
Answer:
A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
c = child bike
a = adult bike
Child bike requirement:
4 hours build time
4 hours test time
Adult bike requirement:
6 hours build time
4 hours test time
Available Building time per week ≤ 120 hours
Available Testing time per week ≤ 100 hours
Therefore, company's work schedule is;
Building:
4c + 6a ≤ 120
Testing:
4c + 4a ≤ 100
Combined:
4c + 6a ≤ 120 and 4c + 4a ≤ 100
Building 20 Child bike and 6 adult bike in a week:
4(20) + 6(6) ≤ 120 and 4(20) + 4(6) ≤ 100
80 + 36 ≤ 120 - - - - 80 + 24 > 100
Therefore Building 20 Child bike and 6 adult bike in a week is not feasible.
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
I took the test on FLVS
if your have 4096 cube
A) find the maximum dimensions of a cube u can make?
B) the big cube in a) is re-arrange into a cuboid which has a 4 cube height and a square base area, what is the maximum area of cuboid base
Answers
Answer:
a) [tex]\sqrt[3]{4096} = 16[/tex]
b) 4096/ 4 = 1024
Step-by-step explanation:
A rectangle has length x+2 and width x+1. Which equation correctly represents the perimeter of the rectangle? 1. 2(x+2)=2x+4 2. 2(2x+3)=4x+6 3. 2(2x+3)=4x+3 4. 2(x+1)=2x+2
Answers
Answer:
4x+6
Step-by-step explanation:
P=2L+2W
P= 2(x+2) +2(x+1)
P= 2x+4+2x+2
P= 4x+6
What is the value of SZT?
Answers
Answer:
[tex] \boxed{m \angle SZT = 121 \degree } [/tex]
Given:
[tex]m \angle RZT = 137 \degree \\ m\angle RZS = 56 \degree [/tex]
Step-by-step explanation:
[tex]= > m \angle RZT = m\angle RZS + m \angle SZT \\ \\ = >157 \degree = 36 \degree+ m \angle SZT \\ \\ = > 157 \degree - 36 \degree = m \angle SZT \\ \\ = > 121 \degree = m \angle SZT \\ \\ = > m \angle SZT = 121 \degree [/tex]
we can describe 15x-10 as an expression we would describe 9+5=32 as an...
Answers
Answer:
equation
Step-by-step explanation:
Equations have equals signs, expressions do not
15x-10 is an expression
9+5 = 32 is an equation ( it is a wrong equation)
what is being constructed based on the markings in the following diagram???
Answers
Answer:
What diagram though?
'
Step-by-step explanation:
2) Find the probability of rolling a 2 or smaller.
Answers
There are 6 numbers in one die.
There are 2 numbers that are less than or equal to 2, they are 1 and 2
The probability of something happening is the number of chances / total number
The probability would be 2/6, which can be reduced to 1/3
Find the number missing from the following equivalent fractions 20/35=4/?
Answers
The missing number is 7.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
What is four times four need help
Answers
Answer:
16
Step-by-step explanation:
Answer:
16 times
Step-by-step explanation:
the four times four need help is just asking 4×4 which is 16
An ice cream truck that plays loud music is circling Bulans neighborhood. C(t) models the volume of the music in dB that Bulan hears, t minutes after the truck arrives in her neighborhood. Here T is entered in radians C(t)=-15cos(2pi/15t)+65 how many minutes after te truck arrives does the volume reach 75
Answers
Answer:
5.5 minutes
Step-by-step explanation:
Fill in the given information and solve for t.
75 = -15cos(2πt/15) +65
-10/15 = cos(2πt/15)
t = 15/(2π)arccos(-2/3) ≈ 5.492
The volume reaches 75 dB about 5.5 minutes after the truck arrives.
Joey is at the pet store wanting to purchase a puppy. The cost of the puppy is $65. He will need to purchase supplies for his new puppy. The puppy food and training pads are the same price. If Joey spends $97 on this total purchase, how much would the puppy food and training pads cost? Explain your answer.
Answers
97+65= 162
The final answer is $162
Answer:
97 - 65 = $32 for both the puppy food and training pads
32 / 2 = $16 for the puppy food and $16 for the training pads
Do not guess plz math question
Answers
Answer:
-12
Step-by-step explanation:
[tex]7\dfrac{1}{2}\div\left( 4\dfrac{1}{2}-5\dfrac{1}{8} \right)=\\\\7\dfrac{1}{2}\div -\dfrac{5}{8}=\\\\\dfrac{15}{2}\times -\dfrac{8}{5}=\\\\-\dfrac{15\times 8}{2\times 5}=\\\\-12[/tex]
Hope this helps!
A high school Philanthropy Club is collecting plastic waste which will be used to create benches for a local park. The volume of the
rectangular container, in cubu feel, used to hold the waste is modeled by the expression below, where x is the width of the container,
in feet
713 + 3,512
If the length of the container is half of a foot longer than its width, what expression represents the height of the container?
help please
Answers
Answer:
The expression 7x represents the height of the container.
Step-by-step explanation:
From the question:
We are being informed that; if the length of the container is half of a foot longer than its width.
Let the width be x;
Then the length of the container can now be ; x+1/2
We all known that the volume of a rectangular prism is : V= l×w×h
here;
l = length
w = width
h = height
If we rewrite the given expression :
[tex]\mathbf{7x^3+3.5x^2}[/tex];
Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.
i.e
[tex]\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}[/tex]
Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.
What is the volume of 1.5 Tonne of sand of density 2600 kg/m3?
Answers
Answer: 0.58 m^3
Step-by-step explanation:
V= 2600 / 1500
= 0.58 m^3