Answer:
Midpoint is (1,4)
Pierce removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 10x2 −17x + 3, where x is the time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
Answer:
C. (5x − 1)(2x − 3)
Step-by-step explanation:
A. 10(x − 3)2 − 1
B. 10(x − 1)2 − 3
C. (5x − 1)(2x − 3)
D. 10(0)2 − 17(0) + 3
Given
10x^2 −17x + 3
To find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
The trough is already empty
Find the factors of quadratic equation
10x^2 - 15x - 2x + 3
Factorise
5x(2x - 3) - 1(2x - 3)
(5x - 1) (2x - 3)
The correct answer is C. (5x − 1)(2x − 3)
Which function passes through (3,0)?
Answer:
C
Step-by-step explanation:
[tex] |3| - 3 = 3 - 3 = 0[/tex]
2×5+1÷2×16+1 in a fraction and in it's simplest form
Answer:
19/1
Step-by-step explanation:
(2x5)+1÷2x16+1
10+(1÷2)x16+1
10+(1/2x 16)+1
(10+8)+1
18+1
19=19/1
Hey there!
=> 2×5+1÷2×16+1
=> 10 + 1 ÷ 32 + 1
=> 11 ÷ 33
=> [tex] \frac{11}{33} [/tex]
=> [tex] \frac{1}{3} [/tex]
Which is a factor of 144 − 49x2? 12 - 7x2 72 – 7x2 12 – 7x 72 7x
The factor of the given equation will be [tex](12+7x)(12-7x)[/tex]
What will be the factor of the given equation?The given expression is
[tex]=144-7x^2[/tex]
Now we can also write this
[tex]=(12^2-7x^2)[/tex]
By using the formula
[tex](a^2-b^2)=(a+b)(a-b)[/tex]
Now form the above formula
[tex]=(12+7x)(12-7x)[/tex]
Thus the factor of the given equation will be [tex](12+7x)(12-7x)[/tex]
To know more about quadratic equations follow
https://brainly.com/question/1214333
Please Help Me, This Is So Difficult.
A tourism agency can sell up to 1500 travel packages for the Sugar Bowl college football postseason game in New Orleans. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight airplane can carry up to 150 passengers, and the two-stop flight airplane can carry up to 100 passengers. The agency can locate no more than 12 planes for the travel packages. The tourism company makes a profit of $1100 for each non-stop flight airplane sold and $800 for each two-stop flight airplane sold. Assume that each plane will carry the maximum number of passengers.
Define the variables for this situation.
Write a system of linear inequalities to represent the constraints.
Graph the system of linear inequalities and shade the feasible region that shows the area of the graph representing valid combinations of nonstop and two-stop flight packages. Be sure to label your axes with correct increments.
Write an objective function that maximizes the revenue for the tourism agency.
Find the maximum revenue for the given constraints and give the combination of flights that achieves this maximum.
The maximum revenue would be _______________ and would be achieved using _____ nonstop flights and _____ two-stop flights.
The maximum revenue would be $9600 and would be achieved using 0 nonstop flights and 12 two-stop flights.
How to define the variablesLet x = number of non-stop airplanes
Let y = number of two-stop airplanes
The system of linear inequalitiesUsing the variables in (a), we have the following constraints
Total passenger constraint: 150x + 100y <= 1500
Total Airplanes constraint: x + y <= 12
Graph the feasible region.In (b), we have the following system of linear inequalities
150x + 100y <= 1200
x + y <= 12
See attachment for the graph
The objective functionThe objective function of the constraints is:
Max z = 1100x + 800y
The maximum revenueFrom the graph of the function, the optimal solution is:
(x,y) = (0,12)
So, the maximum revenue is:
z = 1100x + 800y
z = 1100*0 + 800*12
z = 9600
Hence, the maximum revenue is $9600
Read more about objective functions at:
https://brainly.com/question/16826001
Help!! Thank you so much beforehand
d to the power of 2 = 61
Answer: d =7.81
if d² = 61 d = √61 =7.810249676
Rounding to 7.81 should be fine
Step-by-step explanation:
Putting 100 points to whoever can solve this
check attachment
Answer:
The syntax ↓
[tex]1.2 * 4 = 4.8\\3 * 3 * 3 = 27\\14.7 / 7 = 2.1\\+ 27 = 29.1\\- 4.8 = 24.3[/tex]
It's 24.3 try it.
Hope this helps!
Please give brainliest, i need 3 more :)
Answer:
24.3
Step-by-step explanation:
Here we need to evaluate,
[tex]\longrightarrow 3^3 +14.7\div 7-(1.2\times 4)[/tex]
First of all we need to know about BODMAS , which stands for ,
B = BracketsO = of D = divisionM = multiplicationA = AdditionS = SubtractionThis means first we need to solve brackets , then of , then division , then multiplication, then addition and finally subtraction.
In the given questions, firstly solve the terms inside the brackets ,
[tex]\longrightarrow 3^3 +14.7 \div 7 -(1.2\times 4)[/tex]
Multiply 1.2 and 4 ,
[tex]\longrightarrow 3^3+14.7\div 7-(4.8) [/tex]
Now perform division , that is divide 14.7 by 7
[tex]\longrightarrow 3^3 + 2.1 - 4.8 [/tex]
Simplify 3³ .
[tex]\longrightarrow (3)(3)(3)+2.1-4.8= 27+2.1-4.8[/tex]
Add ,
[tex]\longrightarrow 29.1 -4.8[/tex]
Finally subtract,
[tex]\longrightarrow \underline{\underline{\boldsymbol{ 24.3 }}}[/tex]
And we are done!
The graph shows the distance covered by a runner after a given number of hours.
The runner travels
✔ 8
miles in 2 hours.
The runner’s speed is
miles per hour
Answer:
the runner runs 8 miles in 2hours the number of speed is miles per hour
[(3-^5)(3^4)]^3 I have no clue what to do here please help
Answer:
[tex]\frac{1}{27}[/tex]
Step-by-step explanation:
Jamal wants to save at least 8 percent of his income every month for a assume he gets a $100 allowance every month from his grandfather and he makes an average of $320 a month working part time after school. How much will he save in one year?
True or False: The following relation is a function. Х Y 0 -3 -2 1 5 3 -2 Select one: O True O False
Answer:
No, because the Y's are repeating.
Step-by-step explanation:
(X, Y)
(-3, 0)
(-2, 3)
(1, -2)
(5, 3)
Mrs. Adesso wants to take her class on a trip to either the science center or natural history museum. The science center charges $7 per student, plus $75 for a guided tour. The natural history museum charges $8 per student, plus $50 for a guided tour. For what number of students is the cost of the trip the same at each museum?
Answer:
25
Step-by-step explanation:
When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.
y = 75 +7x . . . . . cost for x students to visit the science center
y = 50 +8x . . . . cost for x students to visit the natural history museum
__
Subtracting the first equation from the second, we get ...
0 = -25 +x
25 = x . . . . . add 25; the number of students such that costs are equal
The cost will be the same either place for 25 students.
__
Additional comment
Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...
$25/($1 /student) = 25 students.
This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).
5-7y= 131 i am trying to solve for "y"
Step-by-step explanation:
[tex]5 - 7y = 131 \\ - 7y = 131 - 5 \\ - 7y = 126 \\ \\ y = - \frac{126}{7} \\ \\ y = - 18[/tex]
i need is asap pls : −2w+10−7w−5
a. 5w+15
b. −9w+15
c. 5w+5
d. 5−9w
Answer:D
Step-by-step explanation:
-2w-7w+10-5
-9w+5 or 5-9w
Answer:
The answer is D .
-9w +5 is the same as 5-9w
Eddie and Janice are buying school supplies. Eddie buys 5 notebooks and 6 binders for a total of $25.45. Janice buys 4 notebooks and 8 binders for $30.60. What is the cost of each item?
Answer:
Notebook $1.25
Binder $3.20
Step-by-step explanation:
5n + 6b = 25.45
4n + 8b = 30.6
Multiply the first equation by -4.
Multiply the second equation by 5.
Add the equations.
-20n - 24b = -101.8
20n + 40b = 153
16b = 51.2
b = 3.2
5n + 6(3.2) = 25.45
5n + 19.2 = 25.45
5n = 6.25
n = 1.25
Answer:
Notebook $1.25
Binder $3.20
Will get 100 points and a brainlist. Calculate the height of this rectangle. Please help ASAP!
Answer:
height = 1/2 ft
Step-by-step explanation:
area of rectangle = width × height
Given:
area = 5/6 ft²width = 5/3 ft⇒ 5/6 = 5/3 × height
⇒ height = 5/6 ÷ 5/3
⇒ height = 5/6 × 3/5
⇒ height = 15/30
⇒ height = 1/2 ft
Write the following as a composition of two or more non-identity functions.
(g∘ f)(x) = R(x) = 8x^3 + 5/x^3 − 5
f(x)=?
g(x)=?
g(x)=8x + 5/x- 5
f(x)=x³
g(f(x))=8x³ + 5/x³ -5
Help me with my math 8th grade
Answer:
Step-by-step explanation:
x= -4,
(4(-4) + 8)^2
= (-16 + 8)^2
= (-8)^2
= -8 x -8
= 64
Answer:
64
Step-by-step explanation:
substitute x = - 4 into the expression
(4(- 4) + 8 )²
= (- 16 + 8)²
= (- 8)²
= 64
hegarty maths- help asap please 1
Answer:
x ≈ 3.4 mm
Step-by-step explanation:
using the Sine Rule in the triangle
[tex]\frac{x}{sin27}[/tex] = [tex]\frac{7.1}{sin73}[/tex] ( cross- multiply )
x × sin73° = 7.1 × sin27° ( divide both sides by sin73° )
x = [tex]\frac{7.1sin27}{sin73}[/tex] ≈ 3.4 mm ( to 1 dec. place )
Arithmetic and geometric sequences plato/edumentuM
Answer:
A.
Step-by-step explanation:
Common difference is -40.
PLEASE HELP!!!!,,,,,,
This figure has two intersecting lines and a ray. What is the value of X 19 degrees 37 degrees 72 degrees 108 degrees
8111&!&!**´`£´£}£{`+}+`+¿¿h¿×´€´¿¿+
Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches
Answer
Step-by-step explanation i need more info
Walking up to a store, you see a sign that says 35% off the entire store. While shopping inside you see this new video game you have been wanting. The price sticker says that it costs, $39.99. How much will it be after the discount?
Answer:
$25.99
Step-by-step explanation:
I’m in 7th grade and I need help :(((( I don’t understand adding, subtracting, multiplying, dividing numbers. Like this is all I know Ik this is for multiply and divide but Ik a negative times negative = positive and positive time’s positive = positive and negative times positive = negative and positive time’s negative = negative but can someone tell me the thing like that but for adding and subtracting please
Hi! Hope this helps
(- stands for negative and + stands for positive)
Adding
- plus + = - or + depending on the numbers (If you have -7 + 3 it equals -4, but -3 + 7 = 4)
+ plus + = + (Simple)
- plus - = - (Like regular addition, except -2 + -3 would be -5)
Subtraction
- minus + = - (If you have -7 - 3 it equals -10, and -3 - 7 = -10)
- minus - = + (If you have -3 - (-4) = 1)
+ minus + = - or + depending on the numbers ( If you have 8 - 4 it equals 4, but if you subtract 8 from 4, it is -4
EXPLAIN IT IN COMPLETE SENTENCES OR WHATEVER YOU ARE SUPPOSED TO DO!! AND QUICK PLEASE!! THANM YOU SO MUCH
Answer:
The rhombus is being translated 3 units to the right.
Step-by-step explanation:
Translation is a transformation that is moving or (sliding) the image to the right, left, up, or down.
In a right triangle, the length of one leg is 7 ft. The length of the other leg is 10 ft. What is the length of the hypotenuse?
A. 149.ft squared
B. 51 ft squared
C. 17 ft
D. 289 ft squared
Answer:
the square of the hypotenuse is 149 squared
Step-by-step explanation:
c= the square root of a^2+b^2=the square root of 7^2+10^2=12.20656
5x - 6 = 3x + 4
X= -2
X= 5
All real numbers
X=2
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
5x - 6 = 3x + 4
Step 2: Solve for x
Subtract 3x on both sides: 2x - 6 = 4Add 6 to both sides: 2x = 10Divide both sides by 2: x = 5Step 3: Check
Plug in x to verify it's a solution.
5(5) - 6 = 3(5) + 4
25 - 6 = 15 + 4
19 = 19
Answer:
X= 5
Step-by-step explanation:
5*5-6=19
3*5+4=19
Estimate: 25.1 divided by 8
Answer:
3
Step-by-step explanation:
round both up to nearest 10
25.1 = 30
8 = 10
30 / 10 = 3
confirmation;
25.1 / 8 = 3.1375 i think it checks out