Answers
The ordered pairs that solve the system of inequalities is given by:
(3, -2), (1, -1).
How to verify if an ordered pair solves a system of inequalities?To verify if an ordered pair solves a system of inequalities, we have to verify if it respects all conditions.
For this problem, the conditions are given as follows:
x - 3y ≥ 1.2x + y ≤ 4.For the ordered pair (0,3), we have that:
x - 3y = -9 < 1, hence it does not respect.
For the ordered pair (-1,1), we have that:
-1 -3 = -4 < 1, hence it does not respect.
For the ordered pair (3,-2), we have that:
3 - 3(-2) = 3 + 4 = 7 > 1.2x + y = 6 - 2 = 4 = 4, hence ok.For the ordered pair (4,0), we have that:
4 - 3(0) = 4 > 1.2x + y = 8 > 4, hence it does not respect.For the ordered pair (2,3), we have that:
2 - 3(3) = -7 < 1, hence it does not respect.
For the ordered pair (1,-1), we have that:
1 - 3(-1) = 1 + 3 = 4 > 1.2x + y = 2 - 1 = 1 < 4, hence ok.More can be learned about inequalities at https://brainly.com/question/24372553
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Related Questions
Write as a
14/11
as a decimal.
0 0.36
0.36
0.036
O 0.36
Answers
Answer:
Step-by-step explanation:
divide 14 by 11
which is 0.36
What is this number sequence called?
7, 22, 11, 34, 17, 52, 26, 13 and so on.
Answers
The numbers 7, 22, 11, 34, 17, 52, 26, 13 and so on represent hailstone sequence.
What is a hailstone sequence?These patterns are referred to as hailstone sequences because the values frequently rise and fall, resembling a hailstone inside a cloud.
It should be noted that such numbers can either rise or fall.
Therefore, the numbers 7, 22, 11, 34, 17, 52, 26, 13 and so ob represent hailstone sequence.
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5. Estimate:
$53
X 4
+what do I add
Math
Answers
Example:
53+53+53+53=
212
please answer as soon as possible
Three angles add up to 180 degrees, angle one has a measure of 4x+8, angle two has a measure of 8x+3 and angle three has a measure of 9x+3.
Given that the sum of the angles is 180 degrees, what is the measure of angle one? Round your answer to the hundredths place IE 79.50.
Answers
Answer:
39.60°
Step-by-step explanation:
The sum of three angles is 180 degrees.
Show this as equation and solve for x:
4x + 8 + 8x + 3 + 9x + 3 = 18021x + 14 = 18021x = 166x = 166/21x = 7.90 (rounded)Angle one is:
4*7.90 + 8 = 39.60Simplify.
(y^5)^3
Write your answer without parentheses.
Answers
Answer:
[tex]\boxed{\sf y^{15}}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf (\:y^5\:)^3[/tex]When any expression is given in the format [tex]\sf (\ a^b \ )^c[/tex] then [tex]\sf a^{bc}[/tex].
[tex]\sf \rightarrow y^{5(3)}[/tex]simplify
[tex]\sf \rightarrow y^{15}[/tex]What is the difference between -5 and 3 on a number line
Answers
Answer:
8
Step-by-step explanation:
-5 is 5 units left of zero.
3 is 3 units right of zero.
The difference is 8.
What is the product of additive inverse of -1/3 and multiplicative inverse of 5/3
Answers
Answer: 1/3 and 3/5
Step-by-step explanation:
Find the length of FH
Answers
Step by step
H = 3 1/2
F = - 1
Subtract point F from point H
3 1/2 - (-1) = 4 1/2
Problem solved
11. Represent and Connect After a recycling
awareness program, the number of tons of
recyclable material taken to the landfill is
reduced by 13 tons per month. Represent
the total change in the tons of recyclable
material taken to the landfill after
10
7 months resulting from the awareness
program. Show your work.
Answers
The total change in the tons of recyclable material taken to the landfill after 10 7 months resulting from the awareness program = (x - 95.9) tons, where x is the initial amount.
In this question, we have been given after a recycling awareness program, the number of tons of recyclable material taken to the landfill is reduced by 13 tons per month.
We need to represent the total change in the tons of recyclable material taken to the landfill after 10 7 months resulting from the awareness program.
Given that reduction in materials = 13 7/10 tons per month
We rewrite the improper fraction 13 7/10 as a proper fraction.
13 7/10 = 137/10
Monthly reduction = 137/10 tons
After 7 months : (7 × 137/10)
= 959/10 tons
= 95.9 tons
Change in amount of material taken to the land fill:
Initial amount - amount after 7 months
If initial amount be x, then the change in amount = (x - 95.9) tons
So, we get an expression (x - 95.9)
Therefore, the total change in the tons of recyclable material taken to the landfill after 10 7 months resulting from the awareness program = (x - 95.9) tons, where x is the initial amount.
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Between what two integers does square root of -80 lies
Answers
Answer: 8 and 9
Step-by-step explanation:
square root of - 80 is 8.94427191 so 8 and 9 is the integers around it.
1. Which of the following is a linear inequality in two variables? A. 3a-2b = 6 C. 3x ≤ 10 B. 3c+16 < -10 D. 3x + 4y ≥ 10
Answers
Answer:
D
Step-by-step explanation:
a linear expression in two variables has the form ax + by
an inequality uses the symbols < , > , ≤ , ≥
the only expression in this form is
3x + 4y ≥ 10
given g(x) is ...............
Answers
Answer:
-40
Step-by-step explanation:
It states with g(-2) that x = -2, so we can plug -2 for x.
g(x) = 3x^3 - 2x^2 + 4x
g(x) = 3(-2)^3 - 2(-2)^2 + 4(-2)
g(x) = 3(-8) - 2(4) + 4(-2)
g(x) = -24 - 8 - 8
g(x) = -40
Which of the following best represents the
rate of change of this function?
A -1/2
B 1/2
C 2
D -2
Answers
Answer:
Step-by-step explanation:
Need more clarification! Which function?
need the domain and range!
Answers
Answer: Domain: [-1, 1]
Range: [-2, 3]
Step-by-step explanation:
Domain: The x-values go from -1 to 1 with x=-1 and x=1 included.
Range: The range starts at the vertex of the function which is y=-2 and goes up to y=3 where the graph is cut off by 2 points on y=3.
A student showed their work when dividing fractions. Explain their errors and find the correct solution!
6 \ 3/4=6/1x3/4
=18/4
4 2/4 or 4 1/2
Answers
The correct solution of division fractions is 18/4.
What is division?Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. The primary objective of division is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.
When describing how much of anything is left over, a fraction is used. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator
Given that,
The division fraction is 6× 3/4
So, the fraction is 6/1×3/4
Therefore, the division fraction is 4×2/4 or 18/4
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If f(x) is a decreasing function, which of the following statements must be true? Select all that apply.
(Assume that f(x) is always decreasing.)
a) f(5)−f(1) / 5−1 > 0
b) f(5)−f(1) / 5−1 < 0
c) For some value of x≠5, f(x)=f(5)
d) f(5) < f(1)
e) f(5) > f(1)
Answers
The two true statements are:
b) (f(5)−f(1)) / (5−1) < 0
d) f(5) < f(1)
Which of the following statements must be true?
We know that f(x) is a decreasing function, this means that, as x increases, the value of f(x) decreases.
So, if there are two values in the domain a and b, such that a < b, we will have that:
f(a) > f(b).
Then the statement:
[ f(5) - f(1)]/(5 - 1) < 0
Is true, because f(1) is larger than f(5).
Which means that statement d ( f(5) < f(1)) is also true.
Then the two correct options are b and d.
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() Which number is closest to √5?
1.7
2.2
3.4
3.1
Answers
Answer:
Step-by-step explanation:
How many times larger is (1.064 x 101) than (7 x 10−1)?
0.152
15.2
6.58
7.448
Answers
How many times larger is (1.064 x 10^1) than (7 x 10^−1)
the answer is 15.2
Step-by-step explanation:
1.064 x 10^1 = 106.40 and 7 x 10^−1 = 0.7 and 106.40 is 15200% of 0.7
Answer:
is 15.2
Step-by-step explanation:
what’s the answer to this question
Answers
Determine the slope & y-intercept
5y-7x=9
Answers
Y can not be determined
Y can not be determined
Use Order of Operations
mot to solve.
14+7 x 54 ÷6-7
Answers
14
+
7
⋅
54
6
−
7
1
4
+
7
⋅
5
4
6
−
7
14
+
378
6
−
7
1
4
+
3
7
8
6
−
7
Divide the numbers
14
+
378
6
−
7
1
4
+
3
7
8
6
−
7
14
+
63
−
7
1
4
+
6
3
−
7
Add the numbers 14
+
63
−
7
1
4
+
6
3
−
7=70
Simplify to create an equivalent expression.
\qquad{2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)2, left parenthesis, 3, y, plus, 6, right parenthesis, minus, 3, left parenthesis, minus, 4, minus, y, right parenthesis
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
9y9y9, y
(Choice B)
B
5y+245y+245, y, plus, 24
(Choice C)
C
9y-249y−249, y, minus, 24
(Choice D)
D
9y+249y+24
Answers
The generated equivalent expression is 9y + 24. So, the correct answer is option D.
What is an expression?
An expression can be defined as the combination of variables and constants with two or more operations applied on it. The operation can be addition, subtraction, multiplication and division.
Simplifying to generate an equivalent expression
The given expression is 2(3y + 6) - 3(- 4 - y)
= 2(3y + 6) + 3(4 + y)
= 6y + 12 + 12 + 3y
= 6y + 3y + 24
= 9y + 24
Hence, the generated equivalent expression is 9y + 24.
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f(x)=8x+2, evaluate f(6)
Answers
Answer:
50
Step-by-step explanation:
The answer is 50 because f(6) basically means to substitute 6 for x.
8(6)+2
48+2
50
So the evaluation of f(6) is 50
Bill is buying several bottles of pop for a party. They each cost the same amount.
If Bill can buy 4 bottles for $7.16, how many bottles could he buy for $10.74?
Answers
Answer:
6
Step-by-step explanation:
First, divide 7.16 by 4 to find the price of one bottle, which is 1.79. Then, divide 10.74 by 1.79 to get 6.
If l = √m-5 and m = 4n²-3, what is l when n = 2? What is n when l = 4?
Answers
what of disibility rules?
Identify all the pairs of parallel sides of each figure.
Answers
Answer:
2 on the 1st, 1 on the second, 3 on the third, 1 on the fourth
The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 500 minutes, the monthly cost will be $132. If the customer uses 700 minutes, the monthly cost will be $172.
A) Find an equation in the form
y=mx+b
where
x
is the number of monthly minutes used and
y
is the total monthly of the Ringular plan.
Answers
The equation in the form y = mx + b is as follows:
y = 1 / 5 x + 32
How to represent a linear equation?The customer uses 500 minutes, the monthly cost will be $132. If the customer uses 700 minutes, the monthly cost will be $172.
Using linear equation in slope intercept form,
y = mx + b
where
m = slopeb = y-interceptHence,
x = the number of monthly minutes used
y = the total monthly of the Ringular plan
Therefore, the equation in slope intercept form can be represented as follows:
(500, 132)(700, 172)
let's find the slope,
m = 172 - 132 / 700 - 500
m = 40 / 200
m = 4 / 20
m = 1 / 5
Hence,
y = 1 / 5x + b
using (500, 132) let's find the y-intercept
132 = 1 / 5 (500) + b
132 = 100 + b
b = 132 - 100
b = 32
Therefore, the equation in the form y = mx + b is as follows:
y = 1 / 5 x + 32
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10=7-m
Do I minus by 10 on each side or do I add minus by 7?
Answers
Answer:
[tex] \sf \large{m=−3}[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
10=7−m
Step 1: Simplify both sides of the equation.
10=7−m
10=7+−m
10=−m+7
Step 2: Flip the equation.
−m+7=10
Step 3: Subtract 7 from both sides.
−m+7−7=10−7
−m=3
Step 4: Divide both sides by -1.
−m/−1= 3/−1
m=−3
11. Find the solution of the following system of equations using substitution:
2x + 7y = 5
y = x + 2
Answers
Answer:
(x,y) = (-1,1)
Step-by-step explanation:
step 1
subsitute the given value of y into the equation
2x+7(x+2)=5
step 2
solve for x
x= -1
step 3
subsitute the value of x in to the second equation
y= -1+2
step 4
solve for y
y=1
step 5
check if there true by putting the value of x and y back in to the equation.
then configure x and y into an ordered pair.
(x,y)=(-1,1)
I hope this helped!
A jewelry maker incurs costs for a necklace according to the equation shown below.
C(x) = 30x + 1692
The revenue function for the necklaces is given below.
R(x) = 77x
How many necklaces must be sold to break even?
necklaces