This graph represents −x−2y=−4 .
Which ordered pair is in the solution set of −x−2y≤−4 ?
A. (−4, 1)
B. (−1, 4)
C. (−4, −1)
D. (4, −1)
Answers
Answer:
B
Step-by-step explanation:
We have the equation [tex]-x-2y=-4[/tex] and we want to find which ordered pair is in the solution [tex]-x-2y\leq -4[/tex]
First, let's convert the inequality to slope-intercept form. So, we have:
[tex]-x-2y\leq-4[/tex]
Add x to both sides:
[tex]-2y\leq x-4[/tex]
Divide both sides by -2. Since we're dividing by a negative, we will flip the sign:
[tex]y\geq- \frac{1}{2}x+2[/tex]
Therefore, our original inequality will be the same as above.
Notice that our y is greater than our equation.
Therefore, the shaded area will lie above our line.
So, any point that falls within the region above our line (in the graph) and on the line is a solution to our inequality.
(-4, 1) is below our line, so it's not a solution.
(-1, 4) is above our line. So, (-1, 4) is our answer.
(-4, -1) is again below our line. So, it's not a solution.
Finally, (4, -1) is also below our line, so it's not a solution.
Therefore, our final solution is B: (-1, 4).
Let's check this. Substitute -1 for x and 4 for y. This yields:
[tex]-(-1)-2(4)\stackrel{?}{\leq}4[/tex]
Multiply:
[tex]1-8\stackrel{?}{\leq}{4}[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{\leq}4[/tex]
So, (-1, 4) is indeed our solution.
And we're done!
Related Questions
8 loads of stone weigh 2/5 ton. Find the weight of 1 load of stone.
Answers
Answer:
100 pounds
Step-by-step explanation:
2/5 ton equals 800 pounds
800 divided by 8 equals 100 pounds
If f(x) = 2 /3 x + 9, find f−1(x).
A) f square root −1(x) = 3x − 9
B) f square root −1(x) = 2 /3 x + 9
C) f square root −1(x) = 3 /2 x + 27/ 2
D) f square root −1(x) = 3/ 2 x − 27/ 2
Answers
Answer:
its A or B
Step-by-step explanation:
i think becuase i am very sure that it is not B
A man has painted 1/5 of a tower. He started at the tower's base and is now 35 feet above the ground. How tall is the tower?
Answers
Answer:
175 ft
Step-by-step explanation:
5 sections
1 is equal to 35ft
multiply 35×5
. Uno de los problemas ambientales es la escasez de agua para proveer de agua a una comunidad, se necesitan 3846 metros de
Tuberia, y cada tubo mide 6 metros de largo. ¿Cuantos tubos se necesitan?
Answers
Answer:
n = 641
Step-by-step explanation:
Pipe required to provide water is 3846 m
Length of each pipe is 6 m
We need to find the no of tubes required. Let there are n tubes. It can be calculated as follows :
[tex]n=\dfrac{3846 }{6}\\\\n=641[/tex]
Hence, 641 tubes will be needed.
Evaluate f(x) = 1/4x for x = -5.
A. 20
B. -1/20
C. -1 1/4
D. -4/5
Answers
Answer: C
Step-by-step explanation:
1/4th of -5 is -1.25 so in fractions that is -1 1/4 (ANSWER IS C)
the answer is C
PLEASE ANWSER QUICK
What is the approximate distance between the points (9,2) and (4,8)?
Answers
Answer:
(5,6)
Step-by-step explanation:
Answer with step-by-step explanation:
(9,2) - (4,8) = (5,-6)
Hope this was helpful! (brainliest please)
PLSSS HELP YA GIRL OUTTT , ( imma mark brainliest) (35 points)
The Air Quality Index, or AQI, measures how polluted the air is in your city and assigns a number based on the quality of the air. Over 100 is “Unhealthy”.
The following quadratic regression equation gives us an estimate of n, which is the number of days the AQI exceeded 100 a particular year. We will use this equation to estimate the number of days the AQI was over 100 in the year 1995.
n = 1.76 t squared minus 13.32 t + 41.00
(Let t represent the number of years since 1990. Therefore, t = 0 corresponds to the year 1990. For the estimate of n, round to the nearest whole day.)
a. 18 days
b. 24 days
c. 182 days
d. 72 days
Answers
Answer:
its either B or C
Step-by-step explanation:
hope it helps
sorry if its wrong
Answer:
a
Step-by-step explanation:
help with this please
Answers
1 bookcase = 1/5 gallons
x bookcase = 3 gallons
1/5x = 3
x = 3/0.2
x = 15
write 562,789 in word form
Answers
Answer:
Five hundred sixty two thouand, seven hundred eighty nine
Step-by-step explanation:
round 49,815,662 to the nearest hundred thousand
Answers
Answer:
49,800,000 is the answer
Answer:
50,000,000
Step-by-step explanation: What you would do is if you have to round up, remember this way to always get it right. 4 or below = stays the same 5 or above = rounds up. so 49,815,662. Well we would take the 8 and round it up to the 9 making it 10 so 49 turns into 50.
90 minus 50 divided by 5 times 6 plus 2
Answers
Anwer:32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
To find out what to do first, use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, ans Subtraction)
Now it should look like this: (90-((50/5)*6)) + 2
First, divide 50 by 5 and get 10
So now it will be like this: (90-(10 x 6) + 2
Next, multiply 10 by 6 and you'll get 60.
The problem is looks like this: (90 - 60) + 2
Then, subtract 60 from 90 and get 30.
30 + 2
Lastly, add 30 and 2 to get 30.
Hope this helps.
Pls help i need it now ill give brainliest if right (:
Answers
-7 [tex]\frac{9}{16}[/tex]
-2 3/4 = -2.75
-2.75^2 = -7.5625
-7.5625 = -7 [tex]\frac{9}{16}[/tex]
Two slices of dance famous pizza half 250 cal how many calories are in five slices of pizza
Answers
Answer:
625
Step-by-step explanation:
Since two slices is 250 calories, let us find how many calories is there in one.
250/2=125 (note, slash signs represents divide sign. When writing down, please write the actual sign.)
Now, we find how many calories are there in 5 pizza slices.
125x5=625
Which is larger: 90%of 20 OR 20% of 95
Answers
Answer: 20% of 95
Step-by-step explanation: 20% of 95 is 19 and 90% of 20 is 18. So 19>18.
Hi! I believe your answer is ---20% of 95--- because 90% of 20 is 18, but 20% of 95 is 19, so that is larger. I hope this helps you! Good luck and have a great day. :)
Frank has 6 blocks of cheese. How many pizzas can he make if each pizza needs 4/3 a block of cheese?
Answers
Step-by-step explanation:
So if you need to use 4/3 of a cheese block that is 1 1/3 of those cheese blocks so keep adding until you get to 6 blocks of cheese or just about 6 blocks
WILL GIVE BRAINLIEST SO DESPERATE PLS
The life zones on Mount Rainier, a mountain in Washington, can be approximately classified by elevation, as follows.
Low-elevation forest: above 1700 feet to 2500 feet
Mid-elevation forest: above 2500 feet to 4000 feet
Subalpine: above 4000 feet to 6500 feet
Alpine: above 6500 feet to the summit
Write a compound inequality that represents the elevation range h
for each type of plant life.
Answers
Answer:
Look down below
Step-by-step explanation:
It's been a little while since I've looked at compound inequalities, so forgive me if this is a bit long.
Let's start with the Low Elevation Forest. Let x represent what is considered the forest. If this is above 1700, x>1700 (which can be rewritten as 1700<x). (Remember, as silly as this may sound, the mouth of the alligator eats the larger part! So the large number has the wide part of the symbol. Remember also that if the sign is < or >, then it includes the number the 'mouth' is facing.) If the forest is up to 2500, you'll generally include 2500 in your equation, so x<2500. This means 1700<x<2500 or x>1700 and x<2500.
Now let's repeat that with the other parts of the question. Mid elevation is x>2500 and x<4000. Subalpine would be x>4000 and x<6500. Alpine is then x>6500 and x< the summit (which is probably the elevation of Mount Rainer in this problem or 14410 feet).
Now we have the question itself. Let's replace x with t for trees for part a. This would mean in the low elevation forest, t>1700 and t<2500 which can be rewritten 1700<t<2500. Now we have flowers in the subalpine AND alpine zones. Let's use f for flowers. If flowers can be in either zone, let's combine them! Because t>4000 and t<6500 in the subalpine level and t>6500 and < the summit (aka 14410 feet), flowers can grow anywhere above 4000 feet. So flowers would be f>4000 and f<14410. Again, you can combine these into: 400<f<14410.
Sorry this is so long, but I hope it helps :)
Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?
$20.00
$60.00
$70.00
$110.00
Answers
Answer:
c
Step-by-step explanation:
:)
Which two triangles are congruent by the SAS Theorem? Complete the congruence
statement.
Answers
Answer:
Triangle BCD is congruent to triangle EGF by SAS theorem
you can substitute words for symbols if needed
Step-by-step explanation:
A factory produces 150 plastic compounds per hour. How many components does the factory produce per minute?
Answers
Answer:
2.5 components but if you need to round 2
Answer:
150 per 60 mins would be 2.5 per 1 min
Step-by-step explanation:
150/60 = 2.5
I really need help on this!!
Answers
The angles are corresponding, so they must be congruent. You set 4x-8 equal to 124 because they are congruent. You then add 8 on both sides and divide by 4 on both sides. You should get 33 for x.
2.Ricky has $100 to spend and wants to order some DVDs on the internet. Each DVD costs $15.00, and
shipping for the entire order is $10.00. What is maximum number of DVDs he can afford
Answers
Answer:
He can get 60 dvds
Step-by-step explanation:
This is why he can get 60 dvds Because 15x6=90 and 10 for shipping make it 100 exactly.
HURRY PLEASE!!!
Mrs. Powell is hiking up to the highest peak at the Rocky Mountains. What kind of slope would she have?
a. negative
b.positive
c.zero
d. unidentified
Answers
Answer:
Positive slope
Step-by-step explanation:
Because he's going up
Answer:
B, Positive
Step-by-step explanation:
Since Mrs. Powell is hiking UP,
the slope would also go up.
On a number line, the numbers going up get higher ( 1, 2, 3, ).
The altitude is getting higher, so numbers are being added.
A number with a plus ( + ) is positive.
PLEASE HELP BEST ANSWER GETS BRAINLIEST
Find the equation of the line in slope-intercept form. a Slope of 2 and y-intercept of −7
Answer:
Answers
The answer is y=2x-7
The average a of two numbers c and d is equal to half the sum of c and d
Answers
Answer:
[tex]\frac{c + d}{2}= \frac{c + d}{2}[/tex]
Step-by-step explanation:
Required
Write the given statement as an equation
To start with, we solve for the average of c and d
[tex]Average = \frac{\sum x}{n}[/tex]
[tex]Average = \frac{c + d}{2}[/tex]
Next, is to determine half sum
[tex]Half\ sum = \frac{c + d}{2}[/tex]
Since both are equal; we have"
[tex]\frac{c + d}{2}= \frac{c + d}{2}[/tex]
The above shows that the statement is true
104.037 what is the value of the 7
Answers
Answer:
The value of 7 is 0.07.
Step-by-step explanation:
Basically, it is seven thousandths.
Hope I helped! ☺
that is my question
Answers
There are 80 sixth graders at Wilson Middle School only 50% of the sixth graders will attend the morning assembly.How many sixth graders will be at the morning assembly
Answers
80 x .5 = 40
A hotel chain is ordering new furnishings what is the total cost of 1,000 sheet sets 1,000 pillows,and 100 desk chairs
Answers
Find the value of x
Answers
[tex]8x + 40 = 120[/tex]
Subtract sides -40
[tex]8x + 40 - 40 = 120 - 40[/tex]
[tex]8x = 80[/tex]
Divided sides by 8
[tex] \frac{8}{8}x = \frac{80}{8} \\ [/tex]
[tex]x = 10[/tex]
Done .....♥️♥️♥️♥️♥️
PLZ HELP MEEEEEEEEEEEEEEEEEE
Answers
Answer:
c
Step-by-step explanation:
its makes most sense
Answer:
c. because i look it ☝ done plzzz help me