Answers
Answer:
see attached
Step-by-step explanation:
boundary line
When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.
4y ≤ -5x -4 . . . . subtract 5x from both sides
y = -5/4x -1 . . . . divide both sides by 4
This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.
line type and shading
The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.
The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.
_____
Additional comment
You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...
5x ... ≤ ...4y ... ≤ ...These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)
Related Questions
6x2 + 108x + 707 = 5
Answers
Answer:
[tex]x=-9\pm6i[/tex]
Step-by-step explanation:
[tex]6x^2+108x+707=5[/tex]
[tex]6x^2+108x+702=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-108\pm\sqrt{(108)^2-4(6)(702)}}{2(6)}[/tex]
[tex]x=\frac{-108\pm\sqrt{-5184}}{12}[/tex]
[tex]x=\frac{-108\pm72i}{12}[/tex]
[tex]x=-9\pm6i[/tex]
Please help me with this question.
Answers
Answer:
TrueTrueStep-by-step explanation:
Dilation does not affect angles or the direction of lines. The lines of a dilated figure will be parallel to the original, unless they go through the center of dilation.
Line CD does not go through P, so C'D' is distinct and parallel to it (True).
Angles B and B' are congruent. (True)
in the diagram below, what is the value of X?
Answers
Answer:
x=15
Step-by-step explanation:
Well we start with the fundamentals of a triangle we know that all the angles of a triangle add up to 180*, so you can start by adding 55* and 65* and end up with 120* then you can add 30* and get 150* then you can take the total of 150* and subtract it from 180* to get 30 now you take that 30 and divide it by 2 and get 15* for the final angle of the triangle.
Write x² + 4x +5 in the form (x + a)² +b where a and b are integers.
Answers
Answer:
this is your answer
Step-by-step explanation:
This is you answer
Answer:
Complete the square
Step-by-step explanation:
A class has $140 for tickets to a science museum. The teacher writes $140÷10=14. Alma says that tickets are $14 each. Mohamed says that $14 students are going on the trip. Who is correct?
Answers
Alma was definitely correct to say that the tickets are $14 each.
The total amount in dollars the class have for tickets to the science museum
is $140.
The teacher writes as follows:
140 ÷ 10 = 14Alma says the tickets are $14 each.
Mohammed says that 14 students are going for the trip
The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.
The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.
Therefore, Alma was definitely correct.
learn more about algebra here: https://brainly.com/question/11455464?referrer=searchResults
I think this is the last thing I need help with, but I REALLY need this done to raise my grade!!! I'll mark brainliest!!
Answers
Answer:
Step-by-step explanation: there you go
Please help
Simplify :3x^5+4x^2-8x^5+3x^2-8x
Answers
Answer:
-5x^5 + 7x^2 - 8x
Step-by-step explanation:
Add like terms:
3x^5 - 8x^5 = -5x^5
4x^2 + 3x^2 = 7x^2
Can someone please help me with this easy math problem?
Answers
Here is my answer. I hope it is helpful.
Can someone help me please
Answers
Answer:
D. ab=ab
Step-by-step explanation:
Communitive property of addition is a number plus a number and the number added to the first number backwards but equal the same answer. For instance (if you don't understand what I'm saying) Look at answer A in your problem, a+b=b+a that's how the communitive property works in addition. The rest of the answer choices also shows communitive property. This is why answer D does NOT show the communitive property in addition.
I'm sorry if I didn't explain right or if I'm wrong but I tried my best. Have a good day and enjoy your answer. I hope you learned something Thanks :)
what is the answer of 3125 ÷ 25 and show how you got the answer
Answers
Answer:
125
Step-by-step explanation:
because 3125 divided 25 equals 125.
how do you want me to show you how i divided?
Answer:
125 is the answer, you can check this by simply multiplying 125 by 25, which will give you 3125.
Step-by-step explanation:
make t the subject of the formula in the image
Answers
Answer:
t=[tex]\frac{2-3q}{q+4}[/tex]
Step-by-step explanation:
q(t+3)=2-4t
qt+3q=2-4t
qt+4t=2-3q
t(q+4)=2-3q
t=[tex]\frac{2-3q}{q+4}[/tex]
Find the slope of the line that contains (−7,−1) and (−7,9).
If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.
Answers
Answer:
undefined
Step-by-step explanation:
Slope = y - y / x - x
9 - (-1) / -7 - (-7)
= 9 + 1 / -7 + 7
= 10 / 0, undefined.
Cannot divide by zero.
1 point
4.) Tom's goal is to save an average of $55 a week for six weeks. For the
first five weeks he saved 45, 60, 25, 50, 55. What is the smallest amount he
can save in week 6 to meet his goal?
80
55
95
65
Answers
8. Phil received a commission of 5% on
the sale of a house. If the amount of
his commission was $4780, what was
the selling price of the house?
What’s the answer
Answers
Answer:
$95,600
Step-by-step explanation:
the question can be rephrased as '4780 is five percent of what number'?
we can use the ratio of 'is/over' = %/100 to solve
'is' = 4780
'of' = selling price of house ('p')
4780/p = 5/100
now cross-multiply:
5p = 478000
p = 95600
In a school hall 2/5 of the chairs are red 3/7
are blue and the rest are yellow
If there are 24 yellow chairs, how many chairs are blue?
Answers
Answer:
60
Step-by-step explanation:
We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...
red : blue : yellow = 14 : 15 : 6
Multiplying this by 4 will give 24 yellow chairs:
4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.
60 chairs are blue.
whadt is the first and second quotient of 1178 divided by 31
Answers
Answer:
its 38
Step-by-step explanation:
use a calculator like i did :)
PLZ SOMEONE HELP ME
NO LINKS PLz
Answers
Answer:
-11[tex]\leq[/tex]x[tex]\leq[/tex]8
Step-by-step explanation:
The two points are filled in circles at -11 and 8, meaning anything inbetween them is part of the domain.
Helpp
10.
9.
7 ÷
7x
7 mi
=
=
1
3
gal
1-0 0-0
O
miles per gallon
Answers
Answer:
21mi/gnStep-by-step explanation:
7mi/1/3gncalculate the product7mi/gn/3simplify the complex fraction
So the answer is=21mi/gnHope it helpsParty. Elena is buying cups and plates for her party. Cups are sold in packs of 8 and plates are sold in packs of 6. She wants to have the same number of plates and cups.
Find a number of plates and cups that meet her requirement.
How many packs of each supply will she need to buy to get that number?
Name two other quantities of plates and cups she could get to meet her requirement.
Tiles. A restaurant owner is replacing the restaurant’s bathroom floor with square tiles. The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut. The floor is a rectangle that measures 24 feet by 18 feet.
What is the largest possible tile size she could use? Write the side length in feet. Explain how you know it’s the largest possible tile.
How many of these largest size tiles are needed?
Name more tile sizes that are the whole number of feet that she could use to cover the bathroom floor. Write the side lengths (in feet) of the square tiles.
Stickers. To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers along one side of her middle school’s hallway. She puts a skateboard sticker on every 4th locker (starting with locker 4), and a kite sticker on every 5th locker (starting with locker 5).
Name three lockers that will get both stickers.
After Lin makes her way down the hall, will the 30th locker have no stickers, 1 sticker, or 2 stickers? Explain how you know.
Kits. The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges. All the kits must have the same number of each supply, and all supplies must be used.
What is the largest number of kits the nurse can make?
How many bandages and lozenges will be in each kit?
What kind of mathematical work was involved in each of the previous problems? Put a checkmark to show what the questions were about.
Evaluation: What Kind of Problem?
1. For each problem, tell whether finding the answer requires finding a greatest common factor or a least common multiple. You do not need to solve the problems.
a. Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?
b. A string of holiday lights at a store has three colors that flash at different times. Red lights flash every fifth second. Blue lights flash every third second. Green light flashes every four seconds. The store owner turns on the lights. After how many seconds will all three lights flash at the same time for the first time?
c. A florist orders sunflowers every 6 days, starting from the sixth day of the year, and daisies every 4 days, starting from the fourth day of the year. When (or on which day) will she order both kinds of flowers on the same day?
d. Noah has 12 yellow square cards and 18 green ones. All the cards are the same size. He would like to arrange the square cards into two rectangles—one of each color. He wants both the yellow and green rectangles to have the same height and to be as tall as possible. What is the tallest possible height for the two rectangles?
2. Explain how you know which problem(s) involves finding the greatest common factor.
Answers
For 80 people, Elena would need
14 packs of plates and 10 packs of cups
She would have at least 80 of each.
I am not completely sure of this, sorry if wrong.
Step-by-step explanation:
80 people
8 cups per pack
6 plates per pack
8, 16, 24, 32, 40, 48, 56, 64, 72, 80
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84
LCM (least common multiple) = 24
Verify whether:
p(x)= 3x+1 has x=-1/3 as a factor
Answers
Hey there!
p(x) = 3x + 1
y = 3x + 1
y = 3(-1/3) + 1
y = -1 + 1
y = 0
Therefore, your answer SHOULD be: y = 0
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
(sin^2(0)) I really need help with this asap
Answers
Answer:
Asapa
[tex] (sin2(0) [/tex]
Find the side lengths in the following triangle.
Answers
Answer:
I'm not too sure which one you need, so choose what answer needs to go in the box!
JL= 44.5
JK=23.3
KL=23.3
Step-by-step explanation:
Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:
V N
4x - 10.7 = 2x + 6.3
+10.7. +10.7
_________________
4x = 2x + 17
-2x -2x
2x = 17
So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.
2x = 17
÷2. ÷2
_______
x = 8.5
So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.
4 × 8.5 = 34
34 - 10.7 = 23.3
Since JK and KL are equal, they are both 23.3.
5 × 8.5= 42.5
42.5 + 2 = 44.5
JL=44.5
[ALGEBRA 2 POLYNOMIAL DIVISION/REMAINDER THEOREM]
Help!!! I'm desperate to find the answer, will give brainliest to first person that answers the question in the photo!
Answers
Answer:
k = -4
Step-by-step explanation:
The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...
f(k) = -15
Looking on the given graph, you find that k must be -4. That is, ...
f(-4) = -15
k = -4
_____
The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.
is y in y + 2z + 45 + 5x a constant?
Answers
Answer:
See below
Step-by-step explanation:
No, a constant is a number without a variable ( variables are represented with a letter )
y is a variable as it is a letter.
The constant in y + 2z + 45 + 5x would be 45 as it has no variable.
plz help with my math hw
Answers
Answer:
cant see
Step-by-step explanation:
f(x)=3x-5, f(2r)
help or i might have to retake this class next semester AHHHH
Answers
Answer:
f(2r) 6r - 5
Step-by-step explanation:
Substitute x = 2r into f(x) , that is
f(2r) = 3(2r) - 5 = 6r - 5
What is the length of the longest side of an isosceles triangle with leg lengths 2x+12 and 5x-9 and base length 6x-2?
Answers
y=4x−9y, equals, 4, x, minus, 9
Complete the missing value in the solution to the equation
Answers
Answer:
(3,3)
Step-by-step explanation:
To find the y - value that corresponds to x=3 , substitute the x - value in the equation.
y=4x-9
y=4*3-9
y=12-9
y=3
Therefore, (3/3) is the solution to the equation.
I hope it helps.
Answer:3,3
Step-by-step explanation: bc khan
Calculate the value of 2x and 3x
Answers
Answer:
2x= 88
3x = 132
Step-by-step explanation:
The sum of the angles that form a circle is 360
2x+3x+140 = 360
5x+140 = 360
5x+140-140 = 360-140
5x= 220
Divide by 5
5x/5 = 220/5
x=44
2x= 2*44=88
3x = 3*44=132
the three altitudes of a triangle intersect at the:
Answers
Explanation:
An altitude of a triangle extends from one vertex to the opposite side, where this altitude is perpendicular to the opposite side. The term "altitude" is often interchanged with "height". Think of a tall mountain that has a lot of altitude, so it's got a lot of height.
Any triangle has 3 different altitudes (one per corner). For any triangle, those three altitudes always intersect at exactly one point: the orthocenter. This is one of the many centers of a triangle. Other centers are the centroid, incenter, and circumcenter.