Answer:
a)
i) we have the equation:
3*x - 2*y
We want to find a common multiple of 3 and 2.
One can be:
3*6 = 18
2*9 = 18
And both numbers 6 and 9 are on the list, then if we take:
x = 6, y = 9
we get:
3*6 - 2*9 = 18 - 18 = 0
The solution is x = 6, y = 9.
ii) The greatest possible value of:
3*x - 2*y
Will be when x is the largest value of the list (because it is on the positive term) and y is the smallest value on the list (because it is on the negative term)
then we need to have x = 10, y = 5
The value will be:
3*10 - 2*5 = 30 - 10 = 20
iii) Now we want to have the smallest value on x, and the largest one on y, then:
x = 5, y = 10
The smallest value of the equation will be:
3*5 - 2*10 = 15 - 20 = -5
B) We want to solve:
5*(a - 4*b)
when:
a = -7
b = 1/4
This is kinda easy, we just need to replace the variables in the equation to get:
5*(a - 4*b) = 5*(-7 - 4*(1/4)) = 5*(-7 - 4/4) = 5*-8 = -40
Suppose an object is launched from ground level directly upward at 57.4 f/s Write a function to represent the object’s height over time.
Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
Step-by-step explanation:
We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.
Then we can write:
a(t) = -32 ft/s^2
Where the negative sign is because this acceleration is downwards.
Now, to get the vertical velocity of the object, we need to integrate over time to get:
v(t) = (-32 ft/s^2)*t + v0
where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.
In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:
v(t) = (-32 ft/s^2)*t + 57.4 ft/s
To get the position equation we need to integrate over time again, to get:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0
Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.
then the position equation (that is the function that represents the height of the object as a function over time) is:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t
p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
Why does Charli fan pages hate on Addison fan pages?
Answer:
itss the internet wht do u expect
Camels are know to lose about 25% of their body weight during times when food and water are scarce. if a camel weighed 1,588 pounds and then lost 25% of its weight, which of these is closest to the amount of weight that the camel lost?
The water slides have 1 temporary employee and 24 permanent employees. What percentage
of the employees at the water slides are temporary
Answer:
4%
Step-by-step explanation:
1/25 = 0.04 = 4%
Answer:
chu papi munanyo
Step-by-step explanation:
-8 = n/7 can someone solve this w work pleath
Answer: n = -56
Step-by-step explanation:
first, we multiply both sides by 7, un order to get the variable by itself. this is the important step.
-56 = n
then, we just simply swap the sides in order to get the variable on the left. (not necessary, just looks like a proper equation that way.)
n = -56
work:
-8 = n/7
x7 x7
-56 = n
n = -56
f(x) = 2x2 + 4x - 1. Find f(3).
Answer:
f(3)=15
Step-by-step explanation:
plug 3 in for x
f(3)=(4)+(12)-1=
16-1=
15
Help me please todays the last day for missing work and I have to get those done
Answer:
1. 2x+7
2. -3x+2
3.-3x-4
4. x-1
5. -14x+1
Step-by-step explanation:
I hope this helps!
Answer:
1. 2x+7
2. -3x+2
3. -3x-4
4. x-1
Step-by-step explanation:
The speed of sound in dry air at 68 degrees F is 343.2 meters per second. Which of the expressions below could be used to compute the number of kilometers that a sound wave travels in 10 minutes (in dry air at 68 degrees F)?
Answer:
babe hehheheheh i think we well be this cute
Step-by-step explanation: hahahaha we r this cute
Answer:
...........
Step-by-step explanation:
4-13. Below are some methods that students from another class used to find the number of tiles in problem 4-12. Which ones are like the ones that students in your class came up with? Which ones are new or different? For each new method, describe how the student might have been seeing the picture frame to come up with that method. Then add any new strategies to your resource page. Jonas' Method: 4·10−4 Curran's Method: 10+9+9+8 Tina's Method: 10+10+8+8 Ramond's Method: 10·10−8·8 Alyssa's Method: 9·4 TJ's Method: 4·8+4
Answer:
Wakaranai
Step-by-step explanation:
A man drove his car 216 miles on 12 gallons of gas. How many miles did he get to a gallon? ___________ miles/gallon?
Answer:
18 miles per gallon
Step-by-step explanation:
Answer:
I believe its 18
Step-by-step explanation:
216 divided by 12 is 18
Have a wonderful day! <3
Franco is solving a system of linear equations algebraically. He find that there
are an infinite number of solutions. Which is a possible step in his solution?
Answer:
B. 5=5
Step-by-step explanation:
Pls help due ASAP
Show workings
Answer:
YW = 6
Step-by-step explanation:
a^2 + b^2 = c^2
x^2 + 8^2 = 10^2
x^2 + 64 = 100
x^2 + 64 - 64 = 100 - 64
x^2 = 36
√x^2 = √36
x = 6
Line YW is equal 6 feet
Step-by-step explanation:
I used the pythagorean theorem
1. 8 squared plus b squared equals 10 squared
2. 64 plus b squared equals 100
3. 100 - 64 equals 36
4. B squared equals 36
5. square root both sides
6. b equals 6 feet
Round the number above to the place where the 3 is located. 5,684.937
Answer:
5684.940
there is your answer
14.4 A Book and a Cake A book costs $45. Sales tax on the book is 7%. Write two different expressions that represent the final cost of the book in dollars. Pne of the expressions should use only a single multiplication and no other operations.
A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression (0.85).32 represents the final price of the cake in dollars
(0.85). 32 represents the final price of the cake in dollars because...
Answer: 1. $45*1.07 | $45(1.07) 2. (0.85)*32 represent the final price of the cake in dollars because (0.85) is the 15% off in decimals.
Step-by-step explanation:
1 if you multiply 45 by 1.07 it will be 48.15 and that's the final cost of the book, same with $45(1.07) is just another way to represent the multiplication.
2 As I said the 0.85 represent the 15% off, and when you multiply it will be less.
PLEASE HELP:
Rectangle FGHJ has diagonals FH and JG that intersect at M. If FJ=−3x+5y, FM=3x+y, GH=11, and GM=13, find the values of x and y.
A. x=3, y=4
B. x=7, y=8
C. x=4, y=3
D. x=8, y=7
Answer:
x=3, y=4
Step-by-step explanation:
Answer:
x=3 y=4
Step-by-step explanation:
C. Ms. James buys her sugar in 5-pound bags. She wants to buy enough sugar to make 12 batches of cookies for the school bake sale. How many bags of each type of sugar, brown and white, should she buy? Show your work. (1 pound = 16 ounces)
Solve the simultaneous equations
y = 4x + 1
y = 2x^2+ 7x - 1
Answer:
[tex]Given,\\y = 4x+1......(1)\\y = 2x^2+7x-1.............(2)\\Equating~equation (1)~and~(2),\\4x+1 = 2x^{2} +7x-1\\or, 2x^{2}+7x-4x-1-1=0\\or, 2x^{2} + 3x-2=0\\or, 2x^{2} +4x-x-2=0\\or, 2x(x+2)-1(x+2)=0\\or, (x+2)(2x-1)=0\\i.e. x=-2 ~or~ \frac{1}{2} \\When~x=2,~equation(1)~becomes ~y=4(-2) +1=-7\\When~x=-\frac{1}{2},~equation (1)~becomes~y=4(\frac{1}{2}) +1 = 2+1=3[/tex]
So, the required values of x are -2 and 1/2 and that of y are -7 and 3.
To factor a linear expression, look for___ that have terms in common
Answer: Expressions or equations, im not sure which
Step-by-step explanation: There isn't really one
is 2\-3 a rational number
Answer:
Yes it is a rational number becuz it is in fraction form..
What is the answer to this equation? 3y-6/9=4-2y/-3? Pls help I need it for tomorrow I’ll give brainiest!
Answer:
11y+10/3 if you're looking to simplify. hope this helps!!
Answer:
y=2
Step-by-step explanation:
multiply each side by 27 to get rid of the denominator
3(3y-6)= -9(4-2y) is what is left
solve
9y-18=-36+18y
9y=18
y=2
You can also plug in 2 to the equation to check.
which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
A. (-4,2)
B. (-4,1)
C. (1,3)
D. (2,-3)
Answer:
If you remove either A or B you will have a function :)
Step-by-step explanation:
Mark me brainliest please i would really appreciate it :)
i really need help , can anybody please help me???
Answer:no, there are always other ways. LIke this y> x.
Step-by-step explanation:
I use schoology too
Which question is best for gathering statistics?
A) Where do you work?
B) What are the ten major occupations in your city?
Answer:
B
Step-by-step explanation:
What are the ten major occupations in your city is a better question to begin gathering numbers for a graph or for some other representation of figures.
Pls mark brainliest. Thanks!
just question # 2 I'll give you 15 points and brainly
3(-4x - 8) = (Use distributive property to rewrite each expression)
A pair of shoes at the store cost $55 on the rack. If the store has a
7.2% sales tax, what would the final price of the shoes be?
Answer:
47.8
Step-by-step explanation:
Can anyone help me with this question please .
Answer: y=-(5/4)x+5
Step-by-step explanation:
The parent function of a linear line is y=mx+b where m is the slope and b is the y intercept so:
Y=-(5/4)x+5
1. Mr. Sanchez has a bag of marbles. The bag contains 4 red marbles, 3 green marbles, and 3 blue marbles. Mr. Sanchez will be randomly selecting one from his bag. What is the probability in decimal form that the marble selected will be red
Answer:
0.4 aka 4/10 or 2/5
Step-by-step explanation:
total is 10 and there is 4 red marbles
Help. me math 20 points
Answer:
1st angle will 60degree =90-60,. 1nd angle =60 degree.vertically opposite angle,
In the figure, j∥k and m∠2 = 117°.
What is the m∠3?
Answer:
sorry if i'm late but the answer is 63
Step-by-step explanation:
i know because i took the test