Which graph represents the solution of 3x + 2y ≥ 4 and x + 3y ≤ 2?
Answers
The graph that represents the solution of linear inequalities 3x + 2y >= 4 and x + 3y <= 2 is attached below. The shaded region represents the solution of the inequalities.
What is meant by graphing a linear inequality?
To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality. If given a strict inequality, use a dashed line for the boundary. If given an inclusive inequality, use a solid line. Next, choose a test point not on the boundary. If the test point solves the inequality, then shade the region that contains it; otherwise, shade the opposite side.
Learn more about graphing linear inequality here
https://brainly.com/question/21857626
#SPJ2
Related Questions
In order to select the new board members. The French club held an election 9 out of 18 club in the election voted in the election . What percentage of the members voted
Answers
_____________________________________________
Note: "9 out of 18" = 9/18 = (9÷9)/(18÷9) = 1/2 .
Also, note that "9" is ONE-HALF of "18". {"9 * 2 = 18".}.
1/2 = (1*50) / (2*50) = 50/100 = 50% .
one-half = 50%
50 is "one--half" of 100
_________________________________
1÷2 = 0.5 .
50/100 = 50 ÷ 100 = 0.50 = 0.5 .
50/100 = 50% .
9/18 = 9÷18 = 0.5 .
________________________________
Based on a survey, 3 out of 8 households have a pet. Mike's neighborhood has 192 households.
Based on the survey, how many households in Mike's neighborhood ,begin emphasis,most,end emphasis, likely have a pet?
A.24
B.64
C.72
D.116
Answers
72 households in Mike's neighborhood ,begin emphasis, most, end emphasis, likely have a pet.
What is Fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
According to question, based on a survey, 3 out of 8 households have a pet. Mike's neighborhood has 192 households.
We have to find how many households in Mike's neighborhood ,begin emphasis, most, end emphasis, likely have a pet.
We get the number of households by following equations:
[tex]\frac{3}{8}[/tex]×[tex]192=72[/tex]
Hence we can conclude that Option C is correct answer.
Learn more about fraction here:
https://brainly.com/question/10354322?referrer=searchResults
#SPJ2
Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s collection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?
Answers
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160
Answer:
160 stamps
Step-by-step explanation:
Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
The new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have
77 pints= ___gal ___qt ___pt
Answers
ALGEBRA 2- If f(x)= √x-3 , which inequality can be used to find the domain of f(x)?
a. √x-3 ≥ 0
b. x-3 ≥ 0
c. √x-3 ≤ 0
d. x-3 ≤ 0
Answers
Answer:
Option B
Step-by-step explanation:
The given equation function is f(x) =[tex]\sqrt{x-3}[/tex]
Domain of this function will be determined by (x-3) ≥ 0
because square root of negative numbers is not defined.
Option B is the answer.
Use the right-hand rule to estimate the area under the graph of y = x2 + 2 for values of x from 0 to 3.
Answers
given that EB bisects <CEA , which statement must be true
Answers
i am not 100% sorry if i am wrong
Answer: A:<CED is a right angle
B: <CEA is a right angle
D: m<CEB=m<BEA
E: m<DEB=135
Step-by-step explanation
State the slope of the line shown below.
0
1
–2
undefined
Answers
Answer: 0
Step-by-step explanation:
From then given graph , it can be seen that the line is parallel to x axis passing through [tex]y=-2[/tex].
We know that if two lines are paralleled then they have equal slope.
We know that the slope of x-axis is 0.
[∵[tex]\text{Slope=}\dfrac{\text{Change in y coordinates}}{\text{Change in x coordinates}}=\dfrac{0}{\text{Chnage in x coordinates}}=0[/tex]]
Hence, the slope of the given line =0
If other factors are held constant, the bigger the sample is, the greater the likelihood of rejecting the null hypothesis.
a. True
b. False
Answers
Help. What is the slope.
Answers
----------------------------------------------------------
----------------------------------------------------------
Explanation:
There are two basic ways to find the slope.
-----------------------------------
The first way is where we use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,8) and (x2,y2) = (2,-4)
Plug the coordinate of those points into the slope formula, then simplify
m = (y2-y1)/(x2-x1)
m = (-4-8)/(2-(-1))
m = (-4-8)/(2+1)
m = (-12)/(3)
m = -4
The slope is -4
-----------------------------------
The second way is to use a more visually oriented approach.
Start at (-1,8).
Draw a straight vertical line through this point. Then move to the point (2,-4) and draw a completely flat horizontal line through this point.
Mark the intersection between these two lines (vertical and horizontal) as point A
Now go back to (-1,8). Count the number of spaces you must move down to go from (-1,8) to point A. You should count out 12 spaces. This is the run, which in this case is negative since we're going downhill as we move from left to right
Then count 3 spaces to go from point A to (2,-4). This is the run
Rise = -12
Run = 3
Slope = Rise/Run = -12/3 = -4
As you can probably see, this effectively mirrors some parts of the slope formula above
No matter which method you use, the slope is -4
-4 is the same as -4/1
A slope of -4/1 means we go down 4 units and then move to the right 1 unit
So that means rise/run = -12/3 is the same as saying rise/run = -4/1
What conclusions can be made about the series ∞ 6 cos(πn) n n = 1 and the integral test?
Answers
Will give brainliest to person who answers first. Much appreciated
1. The physical components of computers that carry out the basic operations are:
A: software
B:hardware
C:firmware
D:vaporware
2. The piece of computer hardware that manipulates a machines memory in order to create images rapidly is the:
A:cpu
B:gpu
C:rom
D:ram
3. Pong is the first real video/ computer game
A: true
B: false
4. The magnavox odyssey was a commercial success
A:true
B: false
Answers
2. is B. Gpu
3. false I am almost certain there was a version of a pong styled game manipulating roughly the sane code first.
4.false it was not considered a commercial success
2:c
3:b
4:a
I think these are right i might be wrong
Which expression is equal to 728‾‾‾√−563‾‾‾√ ?
−11√ 7
√7
- √7
−37√7
Answers
Answer:
The correct option is 3.
Step-by-step explanation:
The given expression is
[tex]7\sqrt{28}-5\sqrt{63}[/tex]
It can be written as
[tex]7\sqrt{4\times 7}-5\sqrt{9\times 7}[/tex]
[tex]7\sqrt{2^2\times 7}-5\sqrt{3^2\times 7}[/tex]
Using product property of radical expressions, we get
[tex]7(\sqrt{2^2}\times \sqrt{7})-5(\sqrt{3^2}\times \sqrt{7})[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]7(2\times \sqrt{7})-5(3\times \sqrt{7})[/tex]
[tex]14\sqrt{7}-15\sqrt{7}[/tex]
Taking out common factors.
[tex]\sqrt{7}(14-15)[/tex]
[tex]\sqrt{7}(-1)[/tex]
[tex]-\sqrt{7}[/tex]
Therefore the correct option is 3.
So far this semester, Zachary has test scores of 92, 98, 65, 77, 91, and 85. He has one more test to take before the semester ends. What must he score on the last test to earn an average of 85 for the semester? Type a numerical answer in the space provided.
Answers
Therefore,
85=(92+98+65 +77+91+85+X) / 7
Solving this equation^,
we get X=87.
Karen buys 8.5 pounds of flour. She uses 2.5 pounds to bake bread. She keeps the rest of the flour in small storage bags. If each storage bag contains ⅖ pound of flour, how many storage bags does she use?
Answers
6÷2/5=15 so she needs/uses 15 bags!
1.45833 as a fraction
Answers
simplify
1 23/50
order from greatest to least : 0.12 with bar over 2, 0.1225, 3/25, 7/125
Answers
that will be 0.122... , 0.1225, 0.12 and 0.056
so from greatest to least that is 0.1225 , 0.1222...., 0.12, 0.056
that is 0.1225 , 012(with bar over the 2) , 3/25 , 7/125
Justin purchased a 20 pound pumpkin for $9.80. How much did he pay per pound.
Answers
Justin paid $0.49/pound for his 20 pound pumpkin.
This is determined by dividing the total amount paid ($9.80) by the pound total (20lbs).
9.80 / 20= 0.49
Write the expressions as a difference and simplify it: 17x−13y+8 and 20x+6y.
Answers
The two expressions 17x−13y+8 and 20x+6y can be rewritten as a difference to be -3x - 19y + 8.
Explanation:To rewrite the two expressions 17x−13y+8 and 20x+6y as a difference, you can first list them separately and then combine by subtraction.
17x - 13y + 8
and
20x + 6y
. The difference between these two expressions is obtained by performing the subtraction as follows: (17x - 13y + 8) - (20x + 6y). Now, you can simplify this by removing the parentheses and switching the sign of the terms being subtracted, which results in:
17x - 13y + 8 - 20x - 6y
. Finally, you combine like terms, x-terms with x-terms and y-terms with y-terms, ending up with:
-3x - 19y + 8
which is the simplified difference of the two expressions.
Learn more about Algebraic Expressions here:https://brainly.com/question/953809
#SPJ12
Which of the sums below can be expressed as 6(3 + 9)? (3 points)
18 + 54
18 + 9
9 + 15
6 + 54
Answers
This could be answered by using the distributive property.
This is an algebra property which is done to multiply a particular term and two or more terms in a set of parentheses.
So for our problem, 6 (3 + 9):
You first, multiply 6 x 3 = 18
And multiply 6 x 9 = 56
Thus, the answer is 18 + 56 = 72
But following the order of operations, you should add first the number inside the parenthesis and then multiply it to the number outside the parenthesis but it will the same answer still. (6 x 12 = 72)
Answer:
18 + 54
Step-by-step explanation:
Take 6 x 3 = 18
6 x 9 = 54
Answer is 18+54
to check answer 18 + 54 = 72
6(3+9)
6(12)= 72
Suppose there is 1.1*f drop in temperature for every thousand feet that an airplane climbs in to the sky if the temperature on the ground is 59.7°F what will the temperature be at an altitude of 11,000 feet
Answers
59.7-12.1=47.6
Answer:47.6
Step-by-step explanation:
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
Answers
Given that, a bike wheel is 26 inches in diameter.
We need to convert bike wheel's diameter in millimeters .
Since, 1 inch = 25.4 millimeters.
So, to convert 26 into mm we need to multiply 26 each sides of this identity to convert this into mm. Hence,
1*26 inch = 25.4 * 26 mm.
So, 26 inches = 660.4 mm.
So, the bike wheel's diameter is 660.4 millimeters.
Hope this helps you!
The bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.
To convert a bike wheel's diameter from inches to millimeters,
we have to use the conversion factor, which is,
1 inch = 25.4 millimeters.
Now multiplying the diameter of the bike wheel,
which is given as 26 inches,
by the conversion factor of 25.4 millimeters per inch.
⇒ 26 inches x 25.4 millimeters per inch = 660.4 millimeters
Therefore, the diameter of the bike wheel in millimeters is 660.4 millimeters.
Therefore, we can convert inches to millimeters by multiplying by 25.4, which is the number of millimeters in one inch.
In this case, the bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.
To learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ6
Kyra multiplied 0.27 by a power of ten and got 2.7. What power of ten did she multiply by?
Answers
If log3(4y−1)=log3(2y+7), what is the value of y?
Enter your answer as a number, rounded to one decimal place, if necessary, like this: 42.5
Answers
This leaves:
4y-1=2y+7 (solve for y)
4y-2y=7-1
2y=6
y=3
Hope this helped :)
The difference between one-half of a number and one-sixth of the number is equal to ten more than one-eighth of that number. Which equation could be used to find the number?
Answers
Answer with explanation:
It is given that, the difference between one-half of a number and one-sixth of the number is equal to ten more than one-eighth of that number.
Let the number be x.
Writing the statement in terms of equations
[tex]\frac{x}{2}-\frac{x}{6}=10+\frac{x}{8}[/tex]
This equation can be used to find the number.
the graph of the equation y=2x+b passes through the point (b, -3). Find b. PLZ SHOW WORK!
Answers
Substitute in the y value for the y in the equation and do the same for the x.
-3=2b+b
-3=3b
-1=b
b is -1.
Hope this helps!
Your fortune is "Stop procrastinating - starting tomorrow."
A secant and a tangent meet at a 90 degree angle outside the circle. What must be the difference between the measures of the intercepted arcs?
45 degrees
90 degrees
180 degrees
270 degrees
Answers
Answer:
180
Step-by-step explanation:
hope this helps you
Answer:
180 90plus90
Step-by-step explanation:
QUICK HELP! How many terms are in the simplified expression? How many of the terms in the simplified expression are negative?
Expression: 2x^2 - y^2 +5xy - 2y
Answers
The second term and the fourth term have negative coefficients.
Terms are only negative depending on the value of the variables.
Final answer:
The simplified expression '2x² - y² + 5xy - 2y' contains four terms, of which two are negative.
Explanation:
The expression given is 2x² - y² + 5xy - 2y To determine how many terms are in this simplified expression, we simply count the distinct variables and constant groupings. In this case, there are four terms: 2x², -y², 5xy, and -2y. Among these, two terms have a negative sign in front of them, indicating that they are negative. Thus, there are two negative terms in the simplified expression.
A function is created to represent amount of money spent on lunch if you spent five dollars a day. What restrictions would be made to the range?
A. The range would only include integers
B. The range would only include negative integers
C. the range would only include positive integers
D. the range would include allreal number
Answers
An angel is 5 times its supplement find the measure of bith angels
Answers
so hmmm say one has a measure of a°, and her sibling is 5 times larger, or 5 times that much, or 5a°, we know that both will sum up to 180°, thus
[tex]\bf a+5a=180\implies 6a=180\implies a=\cfrac{180}{6}\implies a=30[/tex]
so, the smaller is that much, and her sibling is 5a, and you know how much that is, unless you mean angels, and hmmmm both have wings and feathers and are wearing a gown, but doubt that's the case.