HELP!!!!
Given the inequality 6x - 10y ≥ 9 select all possible solutions!!
( -1, 1)
( 2, 8)
( 2, 1)
(-3, -4)
( 5, 2)
( 4, -2)
Answers
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Explanation:
The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.
Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.
Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.
We can verify this algebraically. For instance, if we weren't sure point E was a solution or not, we would plug the coordinates into the inequality to get...
6x - 10y ≥ 9
6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)
30 - 20 ≥ 9
10 ≥ 9 ... this is a true statement
Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.
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I'll show an example of something that doesn't work. Let's pick on point A.
We'll plug in (x,y) = (-1,1)
6x - 10y ≥ 9
6(-1) - 10(1) ≥ 9
-6 - 10 ≥ 9
-16 ≥ 9
The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.
Related Questions
how do I find the length of CA
Answers
C^2= a^2 + b^2
C^2= 17.6^2 + 21^2
C^2= 309.76 + 441
C^2= 750.76
Square root 750.76
C= 27.4 cm
CA= 27.4cm
Let y = x² In(x).
dy/dx the lesson is differentiate products
Answers
Answer:
dy/dx = x(1+2lnx)
Step-by-step explanation:
Given y = x² In(x).
dy/dx = Udv/dx + Vdu/dx
Let U = x², V = lnx
du/dx = 2x
dv/dx = 1/x
Substitute into the formula;
dy/dx = x²(1/x) + lnx(2x)
dy/dx = x + 2xlnx
dy/dx = x(1+2lnx)
You have a restaurant bill of $46.32. If you are taxed 7 1/2 and decide to tip your server 20%, how much is your total?
a.
$59.75
b.
$59.05
c.
$58.92
d.
$58.87
Answers
Answer:
The correct answer is B. $59.05.
Step-by-step explanation:
Given that I have a restaurant bill of $ 46.32, if I am taxed 7 1/2 and decide to tip my server 20%, to determine how much is my total, the following calculation must be performed:
1/2 = 0.5
46.32 + (46.32 x 0.075) + (46.32 x 0.2) = X
46.32 + 3.474 + 9.264 = X
49.79 + 9.26 = X
59.05 = X
Thus, the total amount that I must pay is $ 59.05.
Answer:
b
Step-by-step explanation:
trust
Why might the first method give a closer average than the second method?
Answers
Answer:
dosent this question
on have a diagram or some thing
The number line is 0 to 1 true or false 2/8 is close to 0
Answers
Answer:
True
Step-by-step explanation:
from the scale 0-1, 2/8 is closer to 0 because you round 2 down to 0, which gives you 0.
A stamp collector has 55 stamps from the United States, 30 stamps from Canada, and 15 from Mexico. If he were to close his eyes and randomly select 20 from his collection, about how many would you expect to be from Mexico?
Answers
If the area of a circle is 50.25 meters what is the radius
Answers
Answer:
≈3.99938
Step-by-step explanation:
it’s the answer
A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 1/2cm.
The prism is filled with cubes that have edge lengths of 1/2 cm.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.
Answers
Answer:
560 cubes
Step-by-step explanation:
Volume of prism: lwh, 7*4*2.5, 70cm!
Volume of cubes: lwh, 0.5*0.5*0.5, 0.125cm!
70cm/0.125cm=560 cubes.
Answer:
560 cubes
Step-by-step explanation:
first solve the volume of the rectangular prism
V = l x w x h
where l is the length
w is the width
h is the height
V = 7 x 4 x 2.5
v = 70 cu cm
then solve the volume of the box
v = e^3
v = 0.5^3
v = 0.125
number of cubes = 70 / 0.125
number of cubes = 560 cubes
Plzzs helppppppppppppp
Answers
Answer:
3/24 and 35/63
Step-by-step explanation:
3 / 6 of 1 / 4 = 3 x 1 / 6 x 4 = 3 / 24
7 / 9 of 5 / 7 = 7 x 5 / 9 x 7 = 35/63
Answer:
3 1 1
_ X _ = _
6 4 8
7 5 5
_ X _ = _
9 7 9
Hope this helped :)
Lucy has 1/5 of a pound of chocolates. She would like to make 4 gift bags with chocolates for her teachers.
Answers
Answer:
0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag
Step-by-step explanation:
1/5 divided by 4
=0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag
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Hope this helped!!3.366 rounded to the nearest tenth of a ounce
Answers
Answer:
The answer is 3.4
Step-by-step explanation:
5 or more, round up
4 or less, round down
rounding 6
round up
so...
3.4
(-2, -7) and (-4, -9)
Answer:
3.4Oz
Step-by-step explanation:
What is the aspect ratio of a photograph that is 10 inches wide and 8 inches high?
Answers
Answer:
5:4
Step-by-step explanation:
10/2:8/2= 5:4
23rd term of -11,-7,-3 in arithmetic sequence
Answers
Answer:
The 23rd term for the sequence is -99
Step-by-step explanation:
We can use an explicit rule to find the 23rd term.
Given Info:
=> Sequence: -11,-7,-3
=> f(1) = -11
=> Common difference (d) = -4
Explicit rule: f(1) + d(n-1)
So,
-11 -4 (n-1)
Substitute 23 for n
=> -11 - 4(23-1)
=> -11 - 4(22)
=> -11 - 88
=> -99
hope this helps and is right :)
p.s. i really need brainliest
First one to answer gets BRAINLIEST no cap look at the picture.
Answers
Answer:
63 sq meters
Step-by-step explanation:
[tex]A=\frac{a+b}{2} h\\\\A=\frac{11+7}{2} *7\\\\A=\frac{18}{2} *7\\\\A=9*7\\A=63[/tex]
A=11+7/2 •9
A=18/2 •9
A=9•9
A=81 m^2
Describe the slope of the line.
The slope is
Find the slope.
m =
help please
Answers
Step-by-step explanation:
In order to find the slope, we must know the formula needed.
[tex]\frac{y2}{x2} -\frac{y1}{x1} =m[/tex]
Using 2 given points, we can subtract both and receive our final answer.
Points that are provided:
(4, 3)(1, -1)Substitute the given points into the formula format.
Then, solve.
[tex]\frac{3}{4} -\frac{-1}{1} =\frac{4}{3}[/tex]
m = 4/3
The slope is positive. Meaning that the slope is increasing for the value of y.
Umm yea help me please:)
Answers
I need to know this fast
Answers
Answer:
396 Square feet
Step-by-step explanation:
1.) First find the side closest to you. 6 x 12 = 72. Then double it to match the parallel side. 72 x 2 = 144
2. Find the side to the right and left, 7 x 6 = 42. Then double it to match the parallel side. 42 x 2 =84
3.) Find the top side and bottom side. 12 x 7 = 84. Then double it to match the parallel side. 84 x 2 = 168
4.) Find the total surface area. 144+84+168=
5.) The total surface area is 396 square feet
Let me know if I am incorrect
which of the following is correct statement about this relation?
Answers
Given:
The relation is:
(-3,1),(-2,3),(-1,5),(0,7),(1,9),(2,11)
To find:
The slope and y-intercept for the given relation.
Solution:
Consider any two points from the given relation.
Let the two points are (0,7) and (1,9). So, the slope of the given relation is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{9-7}{1-0}[/tex]
[tex]m=\dfrac{2}{1}[/tex]
[tex]m=2[/tex]
The slope of the given relation is 2.
A point of relation is (0,7). It means the value of relation is 7 at x=0.
So, the y-intercept is 7.
Therefore, the correct option is D.
The solution of f (x) = -3 (2)^x and g(x) =x-14 is x = ____
Answers
glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
Answers
Answer: 6804
Step-by-step explanation: If each glass holds 189 milliliters of juice and there are 36 glasses simply do 189*36, which is 6804
There are 20 girls
and 12 boys in a class.
What would be the probability of
randomly selecting a girl? (Decimals please)
Answers
Answer:
0.625
Step-by-step explanation:
20+12=32 . ( amount of total pupils)
20/32=0.625
Probability is usually a percentage
A recipe for 12 scones requires 2 teaspoons of baking powder and 240 g of flour. If a larger number of scones are made, using 540 g of flour, how much baking powder is needed?
Answers
Answer:
45 teaspoons of baking powder
Step-by-step explanation:
Let x = amt of baking powder needed.
2/240 = x/540
240x = 1080
x = 45 teaspoons of baking powder
What is 27.5 divided by 22
Answers
Answer:
1.25
Step-by-step explanation:
In which of the following expressions does the number 24 fill in the blank so that the equation is true? Select all that apply.
A) 8(3 + 5) = ___ + 40
B) 12(2 + 7) = ___ + 84
C) 8(4 + 2) = ___ + 16
D) 6(3 + 4) = 18 + ___
Answers
c
blahblahblahblahblahblahblah
Evaluate the expression: 8 ⋅ (1/2)^2
Answers
Answer:
2
Step-by-step explanation:
8 ⋅ (1/2)^2 = 8 * (1/2) * (1/2)
=4/2
=2
You know that a rope is no more than 100 feet long. You need to cut the rope into three pieces the second piece is to be three times as long as the first piece, and the third piece must be 18 feet long. What is the maximum length of the second piece?
Answers
Answer:
hi
Step-by-step explanation:
The rope is originally 100 ft. long. The first piece is 32 ft., leaving 100–32, or 68 ft.
Let n be the second piece, and n-30 be the third piece. Then:
n+n-30=68
2n=98
n=49
n-30=19
The second piece is 49 ft. long; the third piece is 19 ft. long ……..
Write 13 1/5 as a decimal.
Answers
Answer:
13.2
Step-by-step explanation:
The Fraction 13 1/5 as a decimal is 13.2.
To write 13 1/5 as a decimal, we can divide the fraction part by the denominator:
1 divided by 5 = 0.2
Then, we add the whole number part to the decimal part:
= 13 + 0.2
= 13.2
Therefore, 13 1/5 as a decimal is 13.2.
Learn more about Decimal here:
https://brainly.com/question/30958821
#SPJ6
Help me and I’ll give you brainliest
Answers
Answer:
The answer is 21
help me
i will follow
Answers
Answer:
3 sandwiches
Step-by-step explanation:
Given
The attached table
Required
Number of sandwiches when Cheddar is ordered
To do this, we simply pair each meat with the select cheese.
So, we have:
Beef and Cheddar, Salami and Cheddar, Turkey and Cheddar
The number of sandwich is 3
Pls help this is due today Find the m
Answers
Answer:
angle XYZ = 118 degrees
Step-by-step explanation:
all interior angles of ma quadrilateral add up to 360 degrees.
W = 90 degrees
90 + 84 + (2x + 118) + (2x + 68) = 360
simplify:
4x = 0
x = 0
angle XYZ = 118 degrees