Answer:
Hope this helped
4x^2-4x+1 factoring special cases
Answer:
(2x−1)(2x−1)
Step-by-step explanation:
Factor 4x2−4x+1
4x2−4x+1
=(2x−1)(2x−1)
At the fair concession stand, a drink costs $1.50, and a hot dog costs $2.75. If Jacob has $18 to spend on food, how many of each item can he buy?
3 drinks and 7 hot dogs
3 drinks and 5 hot dogs
2 drinks and 7 hot dogs
2 drinks and 5 hot dogs
Answer:
Answer is D (2 drinks and 5 hotdog's)
Step-by-step explanation: 1st answer is over as it is $19.25 for only the hotdogs. 2nd is $18.50 which is a little over. 3rd one is $22.25. And the forth one is $16.75 which is perfect because he cant buy anything else with the remainder of his money.
You can use trial and error for 3 drinks and 2 drinks and can see how many hot dogs are available for Jacob to buy in $18 budget.
Jacob, with $18 dollars for food, under given conditions, can buy:
Option D: 2 drinks and 5 hot dogs.
How to decide what amount of drinks and hot dogs are obtainable in given $18 budget?This can be modeled by mathematical expression with use of variables, and inequality.
Suppose that you can by [tex]x[/tex] drinks and [tex]y[/tex] hot dogs, then their amount should not exceed $18 and they should try to use that $18 as much as they can.
Since 1 drink costs $1.5 and 1 hot dog costs $2.75, thus,
[tex]1.5x + 2.75y \leq18[/tex]
Using trial and error for 2 and 3 drinks (we could've done fro 5 or 7 hot dogs too)For 2 drinks:
Since x = amount of drinks = 2, thus from the obtained inequality, we have:
[tex]1.5x + 2.75y \leq 18\\1.5 \times 2 + 2.75y \leq 18\\2.75y \leq 18 - 3\\y \leq \dfrac{15}{2.75}\\\\y \leq 5.555...\\y = 5[/tex]
We took y = 5 since it is closest integer less than 5.55... since we cannot buy drink or hot dog in decimal points generally and cannot spend more than $18
Thus, if Jacob buys 2 drinks, then he can by 5 hot dogs at max.
For 3 drinks:
Since drinks' amount increased, then hot dogs amount will have to decrease to keep them together under $18. And since in 2 drinks Jacob could by 5 hot dogs, thus, now he will have to buy less than 5 hot dogs, which are not given in options.
Thus,
Jacob, with $18 dollars for food, under given conditions, can buy:
Option D: 2 drinks and 5 hot dogs.
Learn more about inequalities here:
https://brainly.com/question/11901702
A new health drink has 150% of the recommended daily allowance (RDA) for a certain vitamin. The
RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?
There are mg of the vitamin in the drink.
The price of a flight was increased by 3% to £720. What was the price before the increase?
Give your answer to the nearest penny.
HELPPPP PLEASE
1. (28 - 22 ) ÷ ( 17-5)
2. (11 x 2 - 42 ) +4
Answer:
1) 1/2 2) -16
Step-by-step explanation:
28-22=6
17-5=12
--------------
6/12=1/2
------------
2) (11*2-42)+4=(22-42)+4=-20+4=-16
Answer:
1. 0.5 or 1/2
2.-16
Step-by-step explanation:
Which one of these math problems is correct?
A. 50x3=1043
B. 54x6=324
C. 25x4=100
D. None of the above
Answer:
B and C are correct
Step-by-step explanation:
Use a calculator next time.
frecuencia del alcohol
find 2 numbers whose sum is 36 and diffrence is 10
Answer:
23 and 13
Step-by-step explanation:
can you help me with my latest answer too??i'm on a time limit rn
Answer:
13 and 23Step-by-step explanation:
let 2 number be x and y
x + y = 36 ---- equation ( 1 )
x - y = 10 -----equation ( 2 )
from ( 1 ) and ( 2 )
2y = 26
y = 13
putting value of Y in equation ( 1 )
x + y = 36
x + 13 = 36
x = 36 - 13
x = 23
MARK ME AS BRAINLISTPlease Help me! ASAP
Look at the Screenshot and ANSWER THE QUESTION
Answer:
Graph C is the answer.
Step-by-step explanation:
From the graphs attached,
Graph A
Given graph represents a cubic function.
Graph B
This graph represents a piecewise function.
Graph C
This graph represents an exponential function.
Graph D
Given graph represents a quadratic function.
Graph C is the answer.
Translate: Four less than twice a number is
twelve
simplify. 3(2x + 1)
a.7x
b.9x
c.6x+3
Answer:
C. 6x+3
Step-by-step explanation:
Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.
3*2x is 6x.
3*1 is 3.
This results in 6x+3.
Step-by-step explanation:
C.6x+3 thats tge answer
−3(5x + 8) − 7(5x + 3)
Answer:
-50x-45
Step-by-step explanation:
-3(5x+8)-7(5x+3)
-15x-24-35x-21
-50x-45
Find the area of the rectangle.. Single choice.
436 cm squared
399 cm squared
380 cm squared
417 cm squared
Answer:
399 cm squared.....Do you want explanation ??
Answer:
socratic
Step-by-step explanation:
use socratic take a pic then it searchers for you
How long does it take an account with a principal of $400 to earn $48 in interest at a simple annual interest rate of 2%?
Answer:
it'll take 6 years
Step-by-step explanation:
I =put
48= 400(.02) t
48= 8t
t= 6 years
$26,000 is invested at 8% p.a. If interest is compounded annually, find the balance after 35 years.
Answer:
At the end of 35 years, your savings will have grown to $384,418.
You will have earned in $358,418 in interest.
The Pythagorean Theorem
(if the diameter of the table is 86 inches, will it fit through a rectangular door that measures 30 inches by 84 inches?)
Answer:
No it won't
Step-by-step explanation:
Because if the length of the door is either 30 or 84 it wont fit because both of those numbers are less than 86
Please help me 2x+y=2
Answer:
y=-2x+2
Step-by-step explanation:
Inverse of -2x+2 {x-2}{2}
Your cat is 8 years younger than your friend. In 4 years, your friend will be twice as old as your cat. How old is your cat now?
years old
Answer:
your cat will be 12 your friend will be either 16 or 24
Step-by-step explanation:
Friend is 12 years old and cat is 4 years old.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.
Given,
Cat is 8 years younger than your friend
Let age of friend be x
then, age of cat be x - 8
But In 4 years, your friend will be twice as old as your cat
x + 4 = 2(x - 8 + 4)
x + 4 = 2x - 16 + 8
x + 4 = 2x - 8
-2x + x = - 12
x = 12
Age of friend = 12 years
Age of cat = 12 - 8 = 4 years
Hence, 12 years is age of friend and 8 years is age of cat.
Learn more about equation here:
https://brainly.com/question/1529522
#SPJ5
HELP I PROMISE I WILL GIVE BRAINLIEST!!!!!!!!
Answer: i think d sorry if im wrong.
Step-by-step explanation:
During the American Revolution, women... i need help now please i will give 11 points
1.ran family businesses.
2.cared for the troops.
3.helped raise money for the war.
4.all of the above
Answer:
its 4 or d
Step-by-step explanation:
hope this helps!
please mark me brainliest! thanks!
Math problem I need help with
Answer:
31° is the answer thank you
Give the equation of the line below:
Answer:
slope = ⅔
y intercept = -2
so
[tex]f(x) = \frac{2}{3}x - 2[/tex]
Solve for c.
-2c = 8
Answer:
c = -4
Step-by-step explanation:
8/-2 = -4
Estefania can run 3/4 of a race in 2/3 hour. How long will it take her to complete the entire race?
Answer:
3/4 x = 2/3
If we multiply both sides by 4/3 we will have
x = 2/3 × 4/3 = 8/9 hour
solve (x - 4)^2 = 5
Answer
If you are solving for X, take the root from both sides.
Exact Form:
x
=
√
5
+
4
,
−
√
5
+
4
Decimal Form:
x
=
6.23606797
…
,
1.76393202
…
Answer:
Step-by-step explanation:
[tex](x-4)^2=5\\ \\ x-4=\pm \sqrt{5}\\ \\ x=4\pm \sqrt{5}\\ \\ x=4-\sqrt{5},\ 4+\sqrt{5} [/tex]
How many unique triangles can be drawn with side lengths 12 cm and 16 cm, and a 50° included angle?
A. 0
B. 1
C. 2
D. an infinite number
What is the solution to the system of equations?
Answer:
(3, -2)
Step-by-step explanation:
both of the equations are equal to y, which means they are equal to each other.
So you write them as equation(1) = equation(2)
and solve for x.
Next substitute the value of x to any of the equations and find y. And that is how I got (3 , -2)
Hope I was able to help:)
Need to figure out x and y
Answer:
f(X)=7 X=1
X=2. f(X)=14
f(X)=21. X= 3
X=4. f(X)=28
X=5. f(X)=35
just substitute in the equation
Simplify the expression. Make sure all final answers are clearly labeled. Show all work.
3 divided by 2+√5
Answer:2 1/3
Step-by-step explanation:2+5=7 3 divided by 7 equals 2 1/3