Answers
looking at the picture, the region AB is where the inequality of f(x) overlaps the inequality g(x), so if we pick any point on that blue region AB, then f(x) will be TRUE and g(x) will also be TRUE, lemme narrow it down some, let's pick the point on AB of say (0,0), namely x = 0 and y = 0
let's try the 1st set
0 ⩽ - 2(0) + 3
0 ⩽ 3 <--- is that true? well yes, zero is less or equals, actually less than 3
0 ⩽ 0 + 3
0 ⩽ 3 <--- is that true? yes it's
let's try the 2nd inequalities set with the same values for "x" and "y"
0 ⩾ -2(0) + 3
0 ⩾ 3 <--- is that true? nope, no dice
let's not bother checking the other, since it already gave FALSE
let's try the 3rd inequalities set, same values
0 ⩽ -3(0) + 2
0 ⩽ 2 <--- is that true? yeap
0 ⩽ -(0) + 2
0 ⩽ 2 <---- is that true? yeap
not to bother you with the 4th set one, the 4th one fails and gives FALSE
so we know the 1st and 3rd one give TRUE on for f(x) and g(x), so which one is it?
take a peek at the picture below, notice the rise and run and therefore the slopes for each, g(x) has a slope of 2/2 = 1, and f(x) has a slope of 3/1 = 3, both going downwards, so both are negative, namely -1 and -3.
that means that g(x) will look like -1x + something, or -x + something.
and means that f(x) will look like -3x + something.
so that means the only set with those slopes will be [tex]\begin{cases} y\leqslant -3x + 2\\ y \leqslant -x + 2 \end{cases}[/tex]
Related Questions
Please answer: The Maxwell children have hired a caterer to provide food for an anniversary party for their parents. The caterer has quoted a price of $96 per person and is asking for an advance payment of one-fourth of the total bill. If the advance payment is $1200, how many guests are invited to the party?
Answers
In the exercise Maxwell children want to calculate the estimated amount or budget placed on one person coming to the anniversary party for their parents.
The number if guest will be 50 guests
Given data
quoted price = $96 per person
Let the total bill be x
one-fourth of the total bill = 1/4*x
advance payment is $1200 = 1/4x------------1
Let us find the total bill which is x
$1200 = 1/4x
cross multiply
1200*4 = x
x = 4800
if the budget per person is $96
Hence the total expected guest will be = 4800/96
50 guests
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Which explanation could be used to verify weather the functions are inverse
Answers
Answer:it is the second option
Step-by-step explanation:
neither of the lines are paralell to the y=x
I need help
With this one question
Answers
Answer:
$88
Step-by-step explanation:
442.70 rounded to the nearest 10 dollars is 440.
20%= .2.
440 times .2 =
88
Please answer this mathematical problem.
Answers
x = total amount of gumballs
let's start subtracting the balls she's giving away
[tex]\stackrel{total}{x}-\stackrel{\textit{to jaysen}}{\cfrac{x}{2}}\implies \stackrel{\textit{what's left}}{\cfrac{x}{2}}~\hfill \stackrel{\textit{half of what's left to Marinda}}{\cfrac{~~ \frac{x}{2}~~}{2}\implies \cfrac{x}{4}} \\\\\\ \stackrel{\textit{what was left minus Marinda's}}{\cfrac{x}{2}-\cfrac{x}{4}\implies \stackrel{\textit{what's left}}{\cfrac{x}{4}}}~\hfill ~\hfill \stackrel{\textit{a third of what's left to Zack}}{\cfrac{~~ \frac{x}{4}~~}{3}\implies \cfrac{x}{12}}[/tex]
[tex]\stackrel{\textit{what was left minus Zack's}}{\cfrac{x}{4}-\cfrac{x}{12}\implies \stackrel{\textit{what's left}}{\cfrac{x}{6}}}~\hfill \stackrel{\textit{her sister gets 5 balls of what's left}}{ \cfrac{x}{6}-5 }[/tex]
and we also know that after all that has been subtracted, she's only left with 5, so we can say that
[tex]\stackrel{\textit{what's finally left}}{\cfrac{x}{6}-5}~~ = ~~\stackrel{\textit{what's finally left}}{5}\implies \cfrac{x}{6}=10\implies \boxed{x = 60}[/tex]
Are the ratios 2:1 and 17:7 equivalent?
Answers
Answer:
no
Step-by-step explanation:
1 x 7 = 7 but 2 x 7 does not equal 17
How many days are in 52 weeks?
Answers
Answer:
A year but -1.
Step-by-step explanation:
52x7=364.
Hope this helps!
Answer:
there are 364 days in 52 weeks.
Step-by-step explanation:
To find out how many days are in 52 weeks you have to multiply the amount of days there are in a week by 52, there are 7 days in a week and 7 times 52 is 364 so the answer is 364
PLEASE HELPPPP. I really need it
Answers
Answer:
Option 4: (0, 5]
Step-by-step explanation:
Given the inequality notation, 0 < x ≤ 5 :
Definitions:open- and closed-parenthesis "( )"We know that using the open- and closed-parenthesis, "( )" are used to express interval notation for which the endpoints are not included as part of the solution. Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than (>) or greater than (<), as you do not include the endpoints when these inequality symbols are used.
open- and closed-brackets "[ ]"In contrast, the open- and closed-brackets, "[ ]" are used to express interval notation for which the endpoints are included as part of the solution. Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than or equal to (≤), and greater than or equal to (≥).
Explanation:In the inequality notation, 0 < x ≤ 5, the endpoints are 0 and 5.
The inequality symbol between 0 and x is "<," which means that we must use an open parenthesis, " ( " for the endpoint, 0.
While the inequality symbol between x and 5 is "≤," which means that we must use an closed bracket, " ] " for the endpoint, 5.
Therefore, the correct answer is Option 4: (0, 5].
How many factor pairs does 15 have
Answers
Answer:
It has a total of 4 the factors are 1,3,5, and 15
Need it now ‼️‼️‼️‼️will give brain list to who ever answers first
Answers
Answer:17/18
Step-by-step no explation
35 devide 28 with decimals pls help I need help
Answers
Answer:
1.25
Step-by-step explanation:
28 * 1 = 28. 35 - 28 = 7.
Add a decimal after the 1 in your answer and after the 35 in your problem. Add a zero to make your 7 into 70.
28 * 2 = 56. 70 - 56 = 14
Add a zero to make your 14 into 140.
28 * 5 = 140
If G&M Foods issues a $1,000 bond with an interest rate of 3.5 percent and a maturity date of January 1, 2025, G&M is agreeing to pay the bondholder __________ interest each year until January 1, 2025, when it must repay the full $1,000.
Answers
G&M is agreeing to pay the bondholder the interest amount of $35 each year until January 1, 2025.
Using this formula
Interest=Bond amount× Interest rate
Where:
Bond amount=$1,000
Interest rate=3.5% or 0.035
Let plug in the formula
Interest=$1,000×0.035
Interest=$35 each year
Inconclusion G&M is agreeing to pay the bondholder the interest amount of $35 each year until January 1, 2025.
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Please help me with this. thank you. :)
Answers
Answer:
11,550
Step-by-step explanation:
1200- 675( because its descending) + 250 ( its ascending) - 525 = 11,550
2. When 3 is added to the difference between seven times a number and 8, the result is greater than 13
added to 6 times the number. Write an inequality to match the given situation.
A. 7x + 8-3 < 6x + 13
B. 6x + 13 > (7x - 8) + 3
C. (7x-8) + 3 > 6x + 13
D. 6x + 13 < 7x + 8-3
Answers
Answer:
C
Step-by-step explanation:
PLEASE HELP IF YOU ANSWER BOTH I WILL GIVE
1. BRAINLIEST
2. 5 STARS
3. HEARTS
Answers
Answer:
both of your answers are b
Step-by-step explanation:
20. difference means subtract
21. assosiative property has to deal with three numbers while communitive is 2 numbers
Trinity earns 8 dollars working at a local supermarket and 6 dollars per hour babysitting
Answers
Answer: so 14 dollars in total
Step-by-step explanation:
Answer: Based on the current non-complete question, the answer Trinity earned $14.
Step-by-step explanation: 8 + 6 = 14.
3. If dy = x^2y^2 , then what is d2y/dx2
Answers
[tex]\text{Given that,}\\\\\dfrac{dy}{dx} = x^2 y^2\\\\ \implies \dfrac{d^2 y}{dx^2} = x^2\cdot 2y \dfrac{dy}{dx}+ y^2 \cdot 2x\\\\\implies \dfrac{d^2 y}{dx^2} = x^2 \cdot 2y \cdot x^2 y^2 +2xy^2\\\\\implies \dfrac{d^2 y}{dx^2} =2x^4y^3 + 2xy^2 = 2xy^2(x^3y+1)[/tex]
Simplify completely
(192x^12/3x^3)^1/3
Show all work for full credit
Answers
Answer and Explanation: The answer and explanation is in the image.
write the equation of the line with the given slope and y-intercept
1. slope is -3 and y intercept of 7
2. slope is 1/4 and y- intercept is -5
Answers
Answer:
See below
Step-by-step explanation:
Remember that y=mx+b:
1) y = -3x+7
2) y = 1/4x-5
Solve the following system of equations by substitution. *
8x + 5y = 24
y = -4x
Answers
Answer:
x= 19/4
Step-by-step explanation:
given the function below, which of the following values will result in f(x)=10
f(x)=1/2x+8
Answers
Answer: x=4
Step-by-step explanation:
1/2x+8=10
Subtract 8 from 10
Multiply 2 to 2
x=4
Step-by-step explanation:
1/2(10)+8=
1/20+8=
161/20=
8.05
12*10-50 i am in a hurry
Answers
Answer: 70
Step-by-step explanation:
12*10 = 120-50 = 70
A ball is thrown from an initial height of 3 feet with an initial upward velocity of 37 fts. The ball's height h (in feet) after 1 seconds is given by the following.
h= 3+37t-16t^2
Find all values of t for which the ball's height is 23 feet.
Answers
Answer:
t=(37+root89)/32,(37-root89)/32
Step-by-step explanation:
Solve the equation:
23=3+37t-16t^2
In the triangle below, which equation can
be used to solve for x?
Answers
Six points are plotted on the number line.
Which points on the number line are opposites?
Answers
Answer: P and U
Step-by-step explanation:
Find the equation of the line passing
through the points (4, 2) and (6,10).
y = [ ? ]x + [ ]
Answers
Answer:
y = 4x -14
Step-by-step explanation:
The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.
The slope equation is ...
m = (y2 -y1)/(x2 -x1)
m = (10 -2)/(6 -4) = 8/2 = 4
The y-intercept equation is ...
b = y - mx
b = 2 -4(4) = -14
The equation of the line is y = 4x -14.
Arrange the following numbers in increasing order.
2.3, 45.1, 18.735, 0.9862, 7
Answers
Step-by-step explanation:
1. 0.9862
2. 2.3
3. 7
4. 45.1
5. 18.735
What is the slope of the line graphed on the coordinate plane?
A graph with a line running through coordinates (-6, -1) and coordinates (6, 2)
Answers
Answer:
1/4
Step-by-step explanation:
use the slope formula, (y2-y1)/(x2-x1) , or rise over run.
this would give you 2-(-1) divided by 6-(-6)
giving you 3/12, reducing to 1/4
20.4 is what percent of 17?
Answers
Answer:
120%
Step-by-step explanation:
20.4 ÷ 17 = 1.2
1.2 · 100 = 120%
The Greens bought a condo for $110,000 in 2005. If its value appreciates at 6%
per year, what will the value be in 2012?
Answers
Answer:
Use the A = p(1 + r/100)^t. A is the amount after appreciation, p is the principal or starting value, r is the interest rate, and t is the time in years.
Step-by-step explanation:
Joel can do 20 math problems in 90 seconds How many seconds would it take him to do 32 problems?
HELP ME ITS SUPER HARD
Answers
Answer:
Joel can do 20 math problems in 90 seconds
He can do 1 math problem in 90/20 = 4.5 seconds
Now, Joel can do 32 math problems in
4.5×32
= 144 seconds
= 2 minutes 24 seconds
Step-by-step explanation:
Here I used the unitary method to sovle the question