When graphing inequalities, where can the solutions be found?
Answers
Solutions will be located in the shaded region. Since this is a “less than” problem, ordered pairs on the boundary line are not included in the solution set. These values are located in the shaded region, so are solutions. (When substituted into the inequality x–y<3.
When solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
When graphing inequalities, the solutions can be found on the side of the number line or the coordinate plane where the inequality is true.
For example, if the inequality is x > 3, the solutions would be all the values of x that are greater than 3. These solutions would be represented by shading the area to the right of line x = 3 on the coordinate plane.
Similarly, if the inequality is y < 2, the solutions would be all the values of y that are less than 2. These solutions would be represented by shading the area below the line y = 2 on the coordinate plane.
It's important to note that when solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.
Learn more about inequalities here:
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Related Questions
In a seminar of 1200 people, 65 percent were women, How many men were in the seminar?
Answers
Answer:
420
Step-by-step explanation:
If there were 1200 people, and 65 percent were women, that means the rest of the crowd are men, which is 35 percent. By multiplying 35 percent by the overall population, 1200, (1200*35/100), you'll get 420 men.
Answer:
Step-by-step explanation:
The answer is 420
PLZ ANSWER ASAP! ONLY IF YOU ARE CORRECT!
Answers
Answer:
k=42
Step-by-step explanation:
Answer:
k = 42
Step-by-step explanation:
That's a right angle, indicated by the square. A right angle is 90 degrees.
To find [tex](k+1)[/tex], we need to subtract 47 from 90. 90 - 47 = 43.
To find k, we subtract 1 on both sides. k = 42.
Leroy borrowed $8250 to be repaid after 3 years at an annual simple interest rate of 7.25%.
Answers
Answer: 598.125 each year
Step-by-step explanation:
if you want to find out how much he pays after one year it would be...
8250 times 7.25 divided by 100 = 598.125
Evaluate the expression 4(x - 3) + 7 using x=2
Answers
4x - 5
4(2) - 5
8 - 5
the answer is 3
Answer:
3
Step-by-step explanation:
Parentheses Exponents Multiplication Division Addition Subtraction
x=2 4(2-3)+7
P: (2-3)=-1
E:
M: 4(-1)=-4
D:
A: -4+7= 3
S:
4(2-3)+7=3
16. Write the following in standard form
36505000
pls need ans. fast
Answers
Answer:
3.6505*10^7
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
36,505,000
Step-by-step explanation:
36505000 is 36505000 in standard form.
The formula for the volume of a tetrahedron is given as v=sh. Rewrite the
equation so that the height is a function of the area of base and the volume (solve for
the height), then find the height when the area of base is 8 and the volume is 48.
Answers
Answer:
h = 6 units
Step-by-step explanation:
The formula for the volume of a tetrahedron is given as :
V = sh
Where
s is area of base and h is height
Put s = 8 and V = 48 to find h as follows :
[tex]h=\dfrac{V}{s}\\\\=\dfrac{48}{8}\\\\h=6[/tex]
So, the height of the tetrahedron is 6 units.
slopes in order (3,13) (27,13) ; (1,4) (7,10) ; (-3,1) (2,11) ; (0,10) (5,11)
Answers
Answer:
Step-by-step explanation:
Given any two points, you can find the slope of the line between them using the equation
[tex]m = \frac{y_2-y_1}{x_2-x_2}[/tex]
#1:
(3, 13), (27, 13): [tex]m = \frac{13-13}{27-3} = \frac{0}{24} = 0\\[/tex]
(1, 4), (7, 10): [tex]m = \frac{10-4}{7-1} = \frac{6}{6} = 1\\[/tex]
(-3, 1), (2, 11): [tex]m = \frac{11-1}{2-(-3)} = \frac{10}{5} = 2[/tex]
(0, 10), (5, 11): [tex]m = \frac{11-10}{5-0} = \frac{1}{5} = 0.2[/tex]
In ascending order:
#1: (3, 13), (27, 13): 0
#2: (0, 10), (5, 11): 0.2
#3: (1, 4), (7, 10): 1
#4: (-3, 1), (2, 11): 2
How do you write this in index form?
Answers
The general form is nthroot{a} in index form looks like this: a^(1/n).
Let's rationalize the denominator first.
Doing so, we get (1/2)sqrt{2}.
In index form, the sqrt{2} = 2^(1/2).
We now have (1/2)[2^(1/2)].
Is this clear?
Which of the following relations is a function?
A: {(0, 0), (0, 2), (0,5)}
B: {(2, 5), (2,0), (0,5)}
C: {(5, 2), (2, 5), (5, 0)}
D: {(0, 0), (2, 0), (5,0)}
Answers
DOMAIN: {0, 2, 5}
RANGE: {0,0,0}
50 POINTS !!! Imogen bought i number of invitations to send out for her party. After she sent out 19, she was left with 11. What is the
value of ?
O 8
O 11
19
30
Answers
Answer:
Step-by-step explanation:
Just add 19 and 11 and you will get your answer!
HOPE THIS HELPS!
Answer:
da answer is 30
Step-by-step explanation:
In the equation y = 2x – 3, what is the value of y when x equals -2?
Answers
Answer:
-7
Step-by-step explanation:
Y = -6 - 3
Y = -9
Find the midpoint of PQ with endpoints P(0, 2) and Q(6, -2). Then write an equation of the line that passes through the midpoint and is perpendicular to
Answers
Answer:
(3,0)
Step-by-step explanation:
In the number 0.02415, the 4 is located in the _____ place.
thousandths
hundredths
ten thousandths
tenths
Answers
Step-by-step explanation:
thousandths
0.004 =
[tex] \frac{4}{1000} [/tex]
9,051.7 divided by 5=?
Answers
Answer:
1810.34
Step-by-step explanation:
Just use a calculator
Round 10,982 to the nearest thousand
Answers
Answer: 11,000 - rounded to the nearest thousand!
on saturday keisha ran 2.175 kilometers. on sunday she ran 1.88 kilometers. how much farther did she run on saturday than on sunday?
Pls help fast I don't know what to do
Answers
Answer:
0.295
Step-by-step explanation:
you needed to subtract 2.175-1.88=0.295
Please help! It’s already late! Help asap!
Answers
Answer:
B will be correct answer
Step-by-step explanation:
What is the answer I got it wrong
Answers
Answer:
-1/2
Step-by-step explanation:
It’s y2 - y1 over x2-x1
- 2 - 3
— - -—-
6 - (-4)
= -5/10
= -1/2
Answer: 1/2
Step-by-step explanation:
Here is a probability scale:
0
Put a cross on the scale to show the probability of landing on the letter A.
The Probability Scale
View One Minute Version
Overview
Answers
Answer:
the second line
Step-by-step explanation:
press the pencil then put it two lines after 0 then yeah
True or false is a relation in which each y value has only 1 x value
Answers
Answer:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
Step-by-step explanation:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
The reason is very clear that we can not have the repeated x-values (two same x-values).
For example, given the set of the ordered pairs of a relation
{(3, a), (6, b), (6, c)}
As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.
In order to be a function, a relation must have only 1 x-value for each y-value.
Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.
1/4 +0.25
what would it equal
Answers
Answer:
0.5
Step-by-step explanation:
1/4+0.25
0.25+0.25
=0.5
So 0.5 is the answer
Explain why an absolute value can never be a negative
Answers
Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative.
HELPPPPPP!!!!!!!Select the correct locations on the graph.
Select the lines that represent functions.
Answers
Answer:
The second line (the flat one with an angle)
Step-by-step explanation:
Functions are linear when put on a graph.
Find the average retail price for a 4-year old V6 four-door sedan with air conditioning, power mirrors, leather seats, power sunroof, and aluminum wheels. It has been driven 42,510 miles?
Answers
Answer:
$8502
Step-by-step explanation:
you need to gather a compilation of prices and add them all up. You then divide that total by the number of prices you gathered.
A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20. Which statement is true of the box plot of this data set? The box will go from 10 to 12. A line dividing the box will be at 12. The left whisker will go from 4 to 15. The right whisker will go from 12 to 20.
Answers
Given:
A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20.
To find:
The correct statement for the box plot.
Solution:
Lower quartile is 10 and upper quartile is 15, so the box will go from 10 to 15.
Median of the data set is 12, so a line dividing the box will be at 12.
Minimum value is 4 and lower quartile is 10, so the left whisker will go from 4 to 10.
Upper quartile is 15 and maximum value is 20, so the right whisker will go from 15 to 20.
Therefore, the correct option is B.
Answer:
its b
Step-by-step explanation:
took the exam review
What is the domain and range please?
Answers
Answer:
domain is all the values that go into a function, and the range is all the values that come out.
Answer:
Domain: -6 <= x <= 3 and Range -9 <= y <= 5
Step-by-step explanation:
Domain is x
Range is y
(x, y)
The smallest x is -6
The largest x is 3
The smallest y is -9
The largest y is 5
Use the Geometric Mean Theorem and your knowledge of proportions to find the value of x.
Answers
Answer:
[tex]x=9.6cm[/tex]
Step-by-step explanation:
[tex]x=\frac{2Area}{20}\\\\Area = \frac{16 * 12}{2} = 96 cm^{2}\\ \\x = \frac{2 * 96}{20} = \frac{192}{20} = \frac{48}{5} = 9.6 cm[/tex]
pls help me
(answer choices)
a: 134
b:46
c:136
d:43
Answers
Answer:
i wanna say its 136 but im not completely sure
I hope this helps!!!
14. Which set of side lengths can be used to prove the statement below is false?
"In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides."
a) 4 cm, 5 cm, 7 cm
b) 5 cm. 12 cm 13 cm
c) 3 cm, 4 cm, 5 cm
d) 9 cm, 12 cm, 15 cm
Answers
Answer:
a) 4 cm, 5 cm, 7 cm
Step-by-step explanation:
The statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is only true for triangle rectangles.
To find a counter example, we can try with the options and see which one works as a counterexample:
a) 4 cm, 5 cm, 7 cm
The longest side is 7cm, then the statement says that:
4^2 + 5^2 = 7^2
16 + 25 = 51
while 7^2 = 49
Then for this particular set of sides, the statement is false.
So we already found the counter example, because:
4^2 + 5^2 ≠ 7^2
The only set of side lengths that proves that the statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is false is;
Option A; 4 cm, 5 cm, 7 cm
To answer this question, let us look at each option;
Option A; 4 cm, 5 cm, 7 cm
Thus; 4² + 5² = 51 and 7² = 49
Since the sum of the square of the two shorter sides is not equal to the square of the longest side, then this proves the statement is false.
Option B; 5 cm. 12 cm 13 cm
Thus; 5² + 12² = 169 and 13² = 169
Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.
Option C; 3 cm, 4 cm, 5 cm
Thus; 3² + 4² = 25 and 5² = 25
Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.
Option D; 9 cm, 12 cm, 15 cm
Thus; 9² + 12² = 225 and 15² = 225
Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.
Read more at; https://brainly.com/question/16175002
Help me please I need help
Answers
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[tex]l = R \times \alpha [/tex]
[tex]l = length \: \: of \: \: the \: \: arc[/tex]
[tex]R = radius = 13 \: \: km[/tex]
[tex] \alpha = mersure \: \: of \: \: the \: \: centeral \: \: angle \: \: between \: \: two \: \: radiuses \\ [/tex]
Hint :
[tex] \alpha \: \: must \: \: be \: \: in \: \: radian[/tex]
Thus ;
[tex] \alpha = 45° = \frac{\pi}{4} \\ [/tex]
_________________________________
[tex]l = 13 \times \frac{\pi}{4} \\ [/tex]
[tex]l = \frac{13}{4} \pi \: \: km \\ [/tex]
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