Answer:
x+1/2y=3 x+2y=-6
Step-by-step explanation:
It cost $20 plus $1.50 per hour to rent a golf cart. Write an equation showing the relationship between the cost of renting a cart (y) and the number of hours it was rented (x).
Answer:
y=20+1.5x
Step-by-step explanation:
The cost of renting a golf cart is equal to $20 plus $1.50 per hour.
let y=the cost of renting a golf cart
let x=the # of hours
y=20+1.5x
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red?
Answer:
2 out of 6
Step-by-step explanation:
if this is wrong try 2 out of 15
A store had a sale where you could get 5 bags of cashews for $4. If you
wanted to buy 50 bags, how much would it cost?
Answer:
$40
Step-by-step explanation:
50/5=10, 10•4=40
Calculate the frequency of light that has a wavelength of
4.25 x 10^-9m and a velocity of 300 m/s.
Answer:
The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.
Wavelength of light = velocity of light / frequency of light
λ = v/f
λ = Wavelength of light, meters
v = Velocity of light (c = 3.0 x 108 m, for speed of light if not otherwise defined)
f = frequency of light, Hz
Step-by-step explanation:
6 + 18r = 20r - 18 - 4r
Answer:
r = -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
6 + 18r = 20r - 18 - 4r
Step 2: Solve for r
Combine like terms: 18r + 6 = 16r - 18Subtract 16r on both sides: 2r + 6 = -18Isolate r term: 2r = -24Isolate r: r = -12-21, -16, -11, -6, ...
Is this sequence arithmetic, geometric, or neither?
Answer:
Geometric sequence
.Step-by-step explanation:
Geometric sequences are defined by an initial value and a common ratio . If a sequence does not have a common ratio or a common difference, it is neither an arithmetic nor a geometric sequence. You should still try to figure out the pattern and come up with a formula that describes it.
Answer: Neither
Step-by-step explanation:
How many solutions does 5 - 2x = 4 - 2x + 4 + x have?
A. Infinitely many solutions
B. Two solutions
C. One solution
D. No solutions
Answer:
One solution, being x = -3
Step-by-step explanation:
Which fraction has a value that’s equal to7/8? A.49/64
B.56/8. D.15/8
C.22/24
Answer:
a 49/64
Step-by-step explanation:
7/8 multiply 7 ×7 = 49 then 8×8 is 64 so yeah a
Which expressions are equivalent to (5g+3h+4)•2?
Answer:
nc
Step-by-step explanation:
nc
f(x) = 2x² + x – 4
Find f(-10)
NEED IT FAST
Answer:
[tex]f(-10)=186[/tex]
Step-by-step explanation:
We can use substitution to find the value of [tex]f(-10)[/tex].
[tex]f(x) = 2x^2+x-4[/tex]
[tex]f(-10) = 2(-10)^2-10-4[/tex]
[tex]=200-10-4[/tex]
[tex]=186[/tex]
∴ [tex]f(-10) =186[/tex]
Hope this helps :)
Answer:
The value of f(-10) is equal to 186.
Step-by-step explanation:
We are given the function:
[tex]f(x) = 2x^2 + x - 4[/tex]
We are told to find the value of:
[tex]f(-10)[/tex]
If we pay close attention, we can see a transition between:
[tex]f(x) \rightarrow f(-10)[/tex]
We have turned x into -10, making x = -10.
Therefore, we can change the value of x in the entire function to -10.
[tex]f(-10)=2(-10)^2+(-10) - 4\\\\f(-10) = 200 - 10 - 4\\\\f(-10) = 186[/tex]
Therefore, f(-10) = 186.
plz help...........
Answer:
1 is one of them
Step-by-step explanation:
What is the root of the polynomial equation *(x-2)(x+3) - 18? Use a graphing calculator and a system of
equations.
O-3
ОО
O2
O 3
Answer:
Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.
This gives you: 1 - 4 - 7 + 10 = 0.
Because 0 = 0 is a true statement, you know that x = 1 is a solution.
Step-by-step explanation:
Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.
This gives you: 1 - 4 - 7 + 10 = 0.
Because 0 = 0 is a true statement, you know that x = 1 is a solution.
Please hurry no clown answers and please do the whole thing
You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently, you have 40 advantage points.
Write an equation to model the number of movies m you have to watch before you earn a free movie pass.
Solve the equation. Show your work.
100=40+2m
100-40=60
2m=60
60 divided by 2=30
30 movies
Answer:
2m+40=100, 30 movies
Step-by-step explanation:
1 movie = 2 points
1 pass= 100 points
curently have 40 points so
100points = 40points +2points *m
solve for m:
2m+40 =100 subtract 40 from both sides
2m = 100-40
2m=60 divide both sides by 2
m=60/2
m=30
I SERIOUSLY NEED THIS NOW- 100 POINTS
(The unanswered question :D)
Answer:
its b i did this before
Step-by-step explanation:
Answer:
The answer will be C.
Step-by-step explanation:
2(4 + 7) − 8 ÷ 2 whats the answer
Answer:
your answer is 18 look below for an explanation!
Step-by-step explanation:
please just trust me i know for a fact its right plz leave a thx and may i please have brainliest?
because 2(4+7)= 8+14= 22. 8/2= 4. 22-4=18.
Samia y su hija fueron a una obra de teatro musical, ella pago $90 por su boleto y $45 por el de su hija. Ese dia el cajerovendio 100 boletos y cuenta con $8190, pero necesita saber cuantos adultos y menores de edad entraron al evento?
Answer:
Al evento entraron 82 adultos y 18 menores de edad.
Step-by-step explanation:
De acuerdo a la información proporcionada, puedes plantear las siguientes ecuaciones:
x+y=100 (1)
90x+45y=8190 (2), donde:
x es el número de adultos
y es el número de menores de edad
Puedes despejar x en (1):
x=100-y (3)
Después, puedes reemplazar (3) en (2):
90(100-y)+45y=8190
9000-90y+45y=8190
9000-8190=90y-45y
810=45y
y=810/45
y=18
Ahora, puedes reemplazar el valor de y en (3) para encontrar x:
x=100-y
x=100-18
x=82
De acuerdo a esto, la respuesta es que al evento entraron 82 adultos y 18 menores de edad.
A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point
for this bookstore?
Answer: The break even point is when they have sold 16 books and have made $288
Step-by-step explanation: The costs are modeled in the equation y = 12x + 96. x is the number of books sold.
The earnings are modeled by he equation y = 18x.
Substitute 18x for y and solve for x.
18x = 12x + 96 Subtract 12x from both sides.
6x = 96 Divide both sides by 6
x = 16
Substitute into the original equations to solve for y
y = 12(16) + 96
y = 192 + 96
Y = 288
y = 18(16)
y = 288
Answer:
C = 12n + 90
Step-by-step explanation:
What is 1+2+3+4+5+6+7+8+9+10=?
have a great day!! :)
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
Answer:
55
Step-by-step explanation:
9 + 1 = 10
8 + 2 = 10
7 + 3 = 10
6 + 4 = 10
5 + 10 = 15
10 + 10 + 10 + 10 + 15 = 55
We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance of the object from the ground. Exactly seconds after we threw the object, it’s height, (measured in feet) is
ℎ= -16^2 + 256 + 1680
a.) Find ℎ when = 3.
b.) How much does the object travel during the two seconds between 5 seconds and 7 seconds?
c.) How long does it take for the object to reach a height of 2640 ft?
d.) How long does it take for the object to hit the ground?
Answer:
a) The height of the small object 3 seconds after being launched is 2304 feet.
b) The small object ascends 128 feet between 5 seconds and 7 seconds.
c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) The object will take 21 seconds to hit the ground.
Step-by-step explanation:
The correct formula for the height of the small object is:
[tex]h(t) = -16\cdot t^{2}+256\cdot t+1680[/tex] (1)
Where:
[tex]h[/tex] - Height above the ground, measured in feet.
[tex]t[/tex] - Time, measured in seconds.
a) The height of the small object at given time is found by evaluating the function:
[tex]h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680[/tex]
[tex]h(3\,s) = 2304\,ft[/tex]
The height of the small object 3 seconds after being launched is 2304 feet.
b) First, we evaluate the function at [tex]t = 5\,s[/tex] and [tex]t = 7\,s[/tex]:
[tex]h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680[/tex]
[tex]h(5\,s) = 2560\,s[/tex]
[tex]h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680[/tex]
[tex]h(7\,s) = 2688\,s[/tex]
We notice that the small object ascends in the given interval.
[tex]\Delta h = h(7\,s)-h(5\,s)[/tex]
[tex]\Delta h = 128\,ft[/tex]
The small object ascends 128 feet between 5 seconds and 7 seconds.
c) If we know that [tex]h = 2640\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t-960=0[/tex] (2)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 10\,s[/tex] and [tex]t_{2}= 6\,s[/tex]
The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) If we know that [tex]h = 0\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t +1680 = 0[/tex] (3)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 21\,s[/tex] and [tex]t_{2} = -5\,s[/tex]
Just the first root offers a solution that is physically reasonable.
The object will take 21 seconds to hit the ground.
Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse functions
Answer:
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
Step-by-step explanation:
Given
[tex]a(d) = 5d - 3[/tex]
Solving (a): Write as inverse function
[tex]a(d) = 5d - 3[/tex]
Represent a(d) as y
[tex]y = 5d - 3[/tex]
Swap positions of d and y
[tex]d = 5y - 3[/tex]
Make y the subject
[tex]5y = d + 3[/tex]
[tex]y = \frac{d}{5} + \frac{3}{5}[/tex]
Replace y with a'(d)
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
Prove that a(d) and a'(d) are inverse functions
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex] and [tex]a(d) = 5d - 3[/tex]
To do this, we prove that:
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
Solving for [tex]a(a'(d))[/tex]
[tex]a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})[/tex]
Substitute [tex]\frac{d}{5} + \frac{3}{5}[/tex] for d in [tex]a(d) = 5d - 3[/tex]
[tex]a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3[/tex]
[tex]a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3[/tex]
[tex]a(a'(d)) = d + 3 - 3[/tex]
[tex]a(a'(d)) = d[/tex]
Solving for: [tex]a'(a(d))[/tex]
[tex]a'(a(d)) = a'(5d - 3)[/tex]
Substitute 5d - 3 for d in [tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
[tex]a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}[/tex]
Add fractions
[tex]a'(a(d)) = \frac{5d - 3+3}{5}[/tex]
[tex]a'(a(d)) = \frac{5d}{5}[/tex]
[tex]a'(a(d)) = d[/tex]
Hence:
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
Help please I’ll give you brainlyst
Find the value of x*
Answer:
8502
Step-by-step explanation:
45930+34729+835029=347230
find the sum of 10x^2-6 and x +6
Answer:
10x2+x
Step-by-step explanation:
Jorge's family arrived home at 8:00 at night after traveling in the car for 5 hours and 15 minutes. What time did Jorge's family leave?
Answer:
2:45 P.M
Step-by-step explanation:
Answer:
3:45
Step-by-step explanation:
8:00-5 hours and 15 min=3:45
The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progression that is greater than 200. Find the sum of all the terms in the progression.
Given:
The first two terms in an arithmetic progression are -2 and 5.
The last term in the progression is the only number in the progression that is greater than 200.
To find:
The sum of all the terms in the progression.
Solution:
We have,
First term : [tex]a=-2[/tex]
Common difference : [tex]d = 5 - (-2)[/tex]
[tex]= 5 + 2[/tex]
[tex]= 7[/tex]
nth term of an A.P. is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
[tex]a_n=-2+(n-1)(7)[/tex]
According to the equation, [tex]a_n>200[/tex].
[tex]-2+(n-1)(7)>200[/tex]
[tex](n-1)(7)>200+2[/tex]
[tex](n-1)(7)>202[/tex]
Divide both sides by 7.
[tex](n-1)>28.857[/tex]
Add 1 on both sides.
[tex]n>29.857[/tex]
So, least possible integer value is 30. It means, A.P. has 30 term.
Sum of n terms of an A.P. is
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Substituting n=30, a=-2 and d=7, we get
[tex]S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7][/tex]
[tex]S_{30}=15[-4+(29)7][/tex]
[tex]S_{30}=15[-4+203][/tex]
[tex]S_{30}=15(199)[/tex]
[tex]S_{30}=2985[/tex]
Therefore, the sum of all the terms in the progression is 2985.
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
This question is incomplete
Complete Question
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
a) Positive, + 750
b) Positive , - 750
c) Negative , +750
d) Negative , - 750
Answer:
d) Negative , - 750
Step-by-step explanation:
We are told in the question that the contestant has 9000 points
Then he loses 750 points.
This means that the 750 points would be deducted from the 9000 points he the contestant has already.
The word lose is a negative and it carries the Subtraction (-) sign,
hence, lose suggests a negative integer which is given as:
-750
Option d is the correct option
please anyone??????????
Answer:
D: 85 degrees
Step-by-step explanation:
Four-sided shape degrees add up to 360
85 + 100 + 90 = 275
360 - 275 = 85
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
answer 85
Step-by-step explanation:
85+100+90=275
360-275 = 85
plus did the question before hope it helps
The variables x an y vary directly. When x=13, y=52. Which equation correctly relates x and y?
Answer:
The equation which correctly relates x and y is y = 4x
Step-by-step explanation:
The equation of the direct variation is y = k x, where
k is the constant of variationTo find the value of k, use the initial values of x and y∵ The variables x and y vary directly
→ Use the form of the equation above
∴ y = k x
∵ When x = 13, y = 52
→ That means the initial values of x and y are 13 and 52
∴ x = 13 and y = 52
→ Substitute them in the equation above to find k
∵ 52 = k (13)
∴ 52 = 13k
→ Divide both sides by 13
∴ 4 = k
∴ The value of k is 4
→ Substitute it in the equation
∴ y = 4x
∴ The equation which correctly relates x and y is y = 4x
PLEASE PLEASE PLEASE HELP ASAP
solve using the elimination process and SHOW ALL STEPS
5x+4y=2
3x+3y=-3
IM LITERALLY BEGGING FORN HELP RN
Answer:
x = 6, y = -7 or (6, -7)Step-by-step explanation:
Given system of equations
5x+4y=2 3x+3y=-3Solving as follows:
Simplify the second equation by dividing all terms by 3
3x+3y=-3 divide by 3⇒ x + y = -1Now, considering the coefficient of x of 5 in the first equation, we will multiply the simplified second equation by 5 and subtract from the first equation:
x + y = -1 multiply by 5⇒5x + 5y = -5Subtract it from 5x + 4y = 2
5x + 4y - 5x - 5y = 2 - (-5)-y = 7y = -7Finding x using simplified second equation:
x + (-7) = -1x = - 1 + 7x = 6Answer is (6, -7)
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
y = 112 +4
y = 4.3 +11
y = 4x + 5
y = 4x + 8