What system of linear inequalities is shown in the graph? Enter your answers in the boxes. there should be two, I have an idea but still a little confused XP
Answers
[tex]<b><u>Equation of the dashed line</u></b>[/tex]
The equation of this line is given by the formula,
[tex]y = mx + c[/tex]
where m is the slope and c is the y -intercept.
From the graph,
[tex]m = \frac{rise}{run} = \frac{ + 4}{ - 1} = - 4[/tex]
and
[tex]c = 1[/tex]
Hence the equation of this line is
[tex]y = - 4x + 1[/tex]
Since the line is not solid it means the possible inequalities are
[tex]y < - 4x + 1 \: or \: y > - 4x + 1[/tex]
From the graph one of the solution sets is the origin, which has coordinates,
[tex](0,0) [/tex]
We can test the two inequalities with this point to determine the right one. That is,
[tex]0< - 4(0)+ 1 \: or \: 0> - 4(0)+ 1[/tex]
[tex]0< 0+ 1 \: or \: 0 > 0+ 1[/tex]
[tex]0< 1 \: or \: 0 > 1[/tex]
We can see that the first statement is true but the second is false.
This implies that the right inequality is;
[tex]y < - 4x + 1[/tex]
[tex]<b><u>Equation of the solid line</u></b>[/tex]
With the solid line,the slope is
[tex]m=\frac{1}{2}[/tex] and
[tex]c=-1[/tex]
Hence the equation is,
[tex]y=\frac{1}{2}x-1[/tex]
Since this line is solid, the possible inequalities are;
[tex]y\ge \frac{1}{2}x-1 \:or\:y\le \frac{1}{2}x-1[/tex]
Testing with the origin again, we have;
[tex]0\ge \frac{1}{2}(0)-1 \:or\:y\le \frac{1}{2}(0)-1[/tex]
[tex]0\ge -1 \:or\:y\le -1[/tex]
The second statement is true.
Hence the inequaliy of the solid line is,
[tex]y \geqslant \frac{1}{2} x - 1[/tex]
Therefore the system of inequalities are;
[tex]y < - 4x + 1[/tex]
and
[tex]y \geqslant \frac{1}{2} x - 1[/tex]
Answer:
the correct answer is in the image
Step-by-step explanation:
Related Questions
Find the slope of the line that passes through the pair of points. (negative 44.29−44.29,4.84.8) and (5.295.29,3.53.5)
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solve the system of equation-5x+2y=9 y=7x
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y = 5x/2 + 9/2
(I don't know if this is correct)
Hope this helps!
The system of equations -5x + 2y = 9 and y = 7x is solved using substitution, yielding the solution x = 1 and y = 7.
To solve the system of equations -5x + 2y = 9 and y = 7x, we can use substitution since the second equation gives us 'y' in terms of 'x' directly. We substitute 7x in for y in the first equation:
-5x + 2(7x) = 9
-5x + 14x = 9
9x = 9
x = 1
Now that we have the value for x, we can find y using the second equation:
y = 7(1)
y = 7
Therefore, the solution to the system of equations is x = 1 and y = 7.
To reduce 32 grams of a 25% antiseptic solution to a 10% solution, how much distilled water should a pharmacist add?
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8 grams is 10% of (8g)/0.10=80 grams
80 grams-32 grams=48 grams
ANSWER: You should add 48 grams of water to 32 grams of 25% solution to make a 10% solution.
Answer:
48 grams
Step-by-step explanation:
= 32 + 25 because 32 grams and 25 %
= 57 - 10 because there's 10%
= 47 + 1 because 10 ÷ 10 = 1
= 48
My teacher taught me it this way!☺
MATH BEWARE MATH IMMA POST IMAGE HELP! :c
Answers
y₂-y₁ / x₂-x₁
Our points are : (2, 6) & (-4, -6)
y₂ = -6 ; y₁ = 6 ; x₂ = -4 ; x₁ = 2
So, now that we have our points and values, we simply plug everything into our slope equation.
y₂-y₁/x₂-x₁
-6 - 6/-4 - 2
Simplify.
-12/-6
Simplify.
2
Our slope is 2
~Hope I helped!~
Answer:
The answer for the slope is 2.
Find the equation of the line.
Use exact numbers.
Answers
and the y intercept is at (0,3) that is y = 3 so b = 3
using the slope intercept form y = mx + b
m = 3 and b = 3
so answer is y = 3x + 3
Answer:
yup
Step-by-step explanation:
how many square feet of carpet will we need for this hole?
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how do you solve this 200 are in a race 20 drop out 16 take a break 40 were added how many people areni the race now
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The 16 isn’t in the equation because they are coming back.
So your answer is 220.
You have 200 people in a race, and 20 drop out. Meaning, you must subtract:
200 - 20 = 180
Next, 16 take a break, so you must subtract again:
180 - 16 = 164
Finally, 40 people are added back, so, you must add:
164 + 40 = 204
And that's how you will get your answer! ^
someone please help me, and it says find the value of x and y.
and can someone help me do it step by step and explain it please
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Triangles are in total 180 degrees. The two triangles are basically 1 triangle split in half. If the triangle share the same side, has similar angles (shown by the curves on both sides at the top(Angle BAC and CAB), and has similar sides(shown by the hashes made in the lines AC & AB), you can conclude 'x' as a 90 degree angle.
To find y:
The measurment of the angle DCA is 47 degrees. For x, we concluded the answer to be 90 degrees, making the other side of the line 90 degrees as well.Since a triangle is 180 degrees, we can add 47 and 90 to get 137. Taking that answer, we subtract it from the value of 180 degrees to get 43 degrees. So y equals 43.
PLEASE HELPPPP
Find the measure of angle KLM.
This is an EXPLAIN YOUR THOUGHTS question which means you need to:
1) include the properties, theorems, etc. that you used to set up an equation.
2) Show the euqation you used to solve for x and thus solve for the angle measure of KLM
Answers
-------------------------------------
-------------------------------------
We'll use these properties:
Property 1: Linear pairs of angles are adjacent (touching) and supplementary. They form a straight angle. By definition they are supplementary meaning they add to 180 degrees.
Property 2: For any triangle, the three angles always add to 180 degrees
-------------------------------------
We need the measure of angle KLJ in terms of x.
Notice how KLJ and KLM form the straight angle JLM (which is 180 degrees). So we'll use property 1 mentioned above. Let's isolate angle KLJ to get...
(angle KLM) + (angle KLJ) = 180
(20x+4) + (angle KLJ) = 180 ... use the substitution property to replace angle KLM with its algebraic expression
angle KLJ = 180 - (20x+4)
angle KLJ = 180 - 20x-4
angle KLJ = -20x + 176
-------------------------------------
Now that we know angle KLJ, we can use this angle along with the angles JKL and KJL. Basically we're focusing on the smaller triangle on the left (the obtuse triangle)
Add those three angles up and set the result equal to 180 degrees. I'm using property 2 now.
(angle KLJ) + (angle KJL) + (angle JKL) = 180
(-20x+176) + (6x+4) + (8x+18) = 180
Therefore the equation we need to solve is: (-20x+176) + (6x+4) + (8x+18) = 180
Let's do so...
(-20x+176) + (6x+4) + (8x+18) = 180
-20x+176 + 6x+4 + 8x+18 = 180
(-20x+6x+8x)+(176+4+18) = 180
-6x+198 = 180
-6x+198-198 = 180-198
-6x = -18
-6x/(-6) = -18/(-6)
x = 3
After solving for x, we get x = 3
Let's use this to find the measure of angle KLM
angle KLM = 20*x+4
angle KLM = 20*3+4
angle KLM = 60+4
angle KLM = 64
The measure of angle KLM is 64⁰
What are supplementary angles?Supplementary angles are two angles whose measures add up to 180⁰ In other words, when placed adjacent to each other, they form a straight line.
From the figure
Given
<J = (6x+4)⁰
<K = (8x + 18)⁰
<KLN = 180 -(20x +4) (supplementary angles)
In Triangle KLN
<J + <K + <L = 180⁰(sum of angles in triangle)
Substitute
(6x + 4) + (8x + 18) = (20x + 4)(sum of 2 int.<s is equal to exterior<)
Simplifying
6x + 8x - 20x = 4 - 4 - 18
14x -20x = -18
-6x = -18
x = -18/-6
= 3
Substitute into (20x + 4) to find the measure of angle KLM
20x +4 = 20(3) + 4
= 60 + 4
= 64⁰
The measure of angle KLM is 64⁰
learn more about triangle here
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Using the numbers 5, 8, and 24, create a problem using no more than four operations (addition, subtraction, multiplication, division, square, square root, cube, cube root) where the solution will be an irrational number. Explain why the result of your operations is an irrational number?
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-------=1.66
24
It's an irrational number because the decimal continues on forever
Subtract -6 4 -6 0 6 4 - -5 5 -4 -1 6 -4
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If so, here's my working out:
-6 - 4 = -10
-10 - -6 = -4
-4 - 0 = -4
-4 - 6 = -10
-10 - 4 = -14
-14 - -5 = -9
-9 - 5 = -14
-14 - -4 = -10
-10 - -1 = -9
-9 - 6 = -15
-15 - -4 = -11
The answer is -11.
Hope this helps!
Answer:
The result of the subtraction is [tex]\(57\).[/tex]
Explanation:
To subtract the numbers given, we need to add all the positive numbers and then subtract the sum of the negative numbers.
Positive numbers: [tex]\(6 + 4 + 6 + 4 + 5 + 5 + 6 = 36\)[/tex]
Negative numbers: [tex]\(-6 - 6 - 4 - 1 - 4 = -21\)[/tex]
Subtracting the sum of the negative numbers from the sum of the positive numbers:
[tex]\(36 - (-21) = 36 + 21 = 57\)[/tex]
So, the result of the subtraction is [tex]\(57\).[/tex]
Your bank account has in it. You deposit $5 per day.
(a) How much money is in your account after 5 days? Show your work.
(b)After you have made all of your deposits, you withdraw $2 a day until your account balance is $0. How many days will you withdraw $2? Show your work
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This is because 5 times 5 equals 25.
Find the value of x and AB if B is between A and C, AB = 2x, AC = 6x - 5 , BC = 7
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2x + 7 = 6x - 5
2x - 6x = - 5 - 7
-4x = -12
x = -12/-4
x = 3
We both know that x is 3.
We also want AB.
AB = 2x
AB = 2(3)
AB = 6
Did you follow?
The problem deals with the segment addition postulate. By setting up and solving the relevant equation (2x + 7 = 6x - 5), we find that x = 3. Therefore, the length of AB = 6.
Explanation:The subject of this question is segment addition postulate in mathematics. Given that B is between A and C, it implies that AB + BC = AC. From the problem, it's given that AB = 2x, AC = 6x - 5 and BC = 7. Setting up the equation would yield 2x + 7 = 6x - 5. Solving this equation gives us x = 3. Therefore, by substituting x=3 in AB = 2x we find that AB = 6.
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please quick problem :)
One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At midnight the temperature was −16.8 degrees. What was the temperature at 9 p.m.?
please T-T
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2 and 2/3 plus 4 and 2/5 = ?
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When you add or subtract fractions, you find the common denominator
Which is 15
Leave the whole numbers out
Multiply 2/3 by 5 = 10/15 and multiply 2/5 by 3= 6/15
10/15+6/15= 16/15= 1 1/15
Now add the whole numbers
2+4+1= 7 1/15
So your final answer is 7 1/15
A real-estate agent earns a commission on a house she sells. Her commission 5% on the first $500,000 ofthe sale price of the house. She then earns a 6% commission for the amount above $500,000 of the salé price of the house. How much commission did the agent earn if she sold a house for $585,000?
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Percent: 6% = 0.06
Now we will multiply the cost of the house by the percentage to find the commission amount:
1) 0.06(585,000) = 35,100
The total amount the agent will receive would be $35,100.
Look at the picture answer all 3 of the questions and if you cannot answer all my questions then answer 1 question only.
Answers
__________________
6) The number, "8.2", belongs to:
_________________________________
[C]: "rational numbers only" .
_________________________________
Explanation:
_________________________________
Choice [A]: "whole number only" ; is incorrect; since any decimal value/ decimal-containing value — including this given value: "8.2" — is not a "whole number" ; and NOT an integer.
Thus, we can eliminate Choices: [D]: and [B] ; and we are left with:
"Choice: [C]: "Rational numbers only".
Note: "8.2" is a rational number; since the number is real; and since the number is not "irrational". An "irrational number" would mean that the resulting decimal form would be "non-terminating" AND "non-repeating".
_________________________________
→ As such: Answer choice: [C]: "rational numbers only".
_____________________________________________________
7) The number, "5", belongs to:
_________________________________
[D]: "integers, whole numbers, and rational numbers".
_________________________________
Explanation:
_________________________________
Choice: [A]: is: "whole numbers ONLY". This COULD be correct; since "5" is a whole number; but take note of the the word: "only" in this answer choice.
_________________________________________________________
Choice: [B]: is: "integers and rational numbers". Yes; "5" is both an "integer"; AND a "rational number"; and there is no word, such as "only" in this answer choice. So, this answer could be correct; and arguably is a better answer than "Choice: [A]" .
→ So; at this point, let us "tentatively eliminate": "Answer choice: [A] " .
_________________________________
Choice: [C]: is: "rational numbers only". Note that: "5" ; is, in fact, a "rational number"; however, take note of the word: "only"; (as mentioned in: "Answer choice: [A]" .
→ At this point, "Answer choice: [B]: is arguably a better answer than choices: [A} & [C].
→ So; we can tentatively eliminate choices: [A] & [C].
_________________________________
Choice [D]: is: "integers, whole numbers, and rational numbers" .
____________________________________________
→ This choice is the best answer choice given; since "5" ; is an integer, a whole number, AND a rational number.
__________________________________________________
8) The number, "-27", belongs to:
_________________________________
[B]: "integers and rational numbers".
_________________________________
Explanation:
_________________________________
Choice: [A]: "whole number only" ; is incorrect, because negative numbers; including our given value; "- 27 " ; is NOT a "whole number".
→ As such, we can eliminate:
"Choice [A]" ;
as well as: "Choice [D]: "integers, whole numbers, and rational numbers".
__________________________________
We are left with: "Choices: [B] and [C] " .
__________________________________
Choice [B]: is: "integers and rational numbers". This choice could be correct; since our given value; " -27 " ; is both an "integer" AND a "rational number".
__________________________________
Choice [C]: is: "rational numbers only". Our given value, "-27", is a rational number; however, note the word: "only" ; in this answer choice.
→ Choice [B]: is: "integers AND rational numbers" ; which is the best—and correct—answer choice.
_________________________________________________
Answer:
? what's the picture
Step-by-step explanation:
Shanice's car is traveling 10 miles per hour slower than twice the speed of Brandon's car. She covers 93 miles in 1 hour 30 minutes. How fast is Brandon driving?
Answers
Shanice's rate: 93 / 1.5 = 62 miles per hour
she is 10 miles slower than twice the speed of Brandon
62 +10 = 72
72/2 = 36
Brandon is driving 36 miles per hour
50 tens times 4 hundreds equals 40 tens times 5 hundreds
Answers
40 * 500 = 20,000
Your answer is true
True, 50 tens times 4 hundreds equals 40 tens times 5 hundreds.
50 tens times 4 hundreds will equals 40 tens times 5 hundreds reason been if you multiply 50 by 4 hundred it will give us 20,000 and if you multiply 40 tens by 5 hundreds it will still give us 20,000.
Hence:
Multiplication
50×400=40×500
20,000=20,000
Inconclusion 50 tens times 4 hundreds will equals 40 tens times 5 hundreds.
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Use GCF and the distributive property to rewrite 42+48
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6(7+8)
estimate 36,472-32,841
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However, if it was rounded by hundredths, it would be 36,500-32,800. This would equal 3,700.
does anyone know? im lost!
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The function f(x)=5(x−1) is shown on the coordinate plane. Select from the drop-down menus to correctly describe the end behavior of f(x) . As x decreases without bound, the graph of f(x) . As x increases without bound, the graph of f(x) . An exponential curve graphed on a coordinate plane with horizontal x-axis ranging from negative 4 to 4 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. The curve begins from the second quadrant. The curve increases through begin ordered pair 0 comma 0.2 end ordered pair. The curve passes through begin ordered pair 1 comma 1 end ordered pair and moves away from the positive y-axis.
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Answer: As x decreases without bound the graph f(x) decreases, as x increases without bound the graph of f(x) increases.
Step-by-step explanation:
Since, the given function is , [tex]f(x) =5(x-1)[/tex]
If [tex]x\rightarrow -\infty[/tex] then [tex]f(x)\rightarrow -\infty[/tex]
that is, we can say, as x decreases without bound the graph f(x) decreases.
While, If [tex]x\rightarrow +\infty[/tex] then [tex]f(x)\rightarrow +\infty[/tex]
That is, we can say, as x increases without bound the graph f(x) increases.
thus, we can say first option represents the correct end behavior of f(x).
13 points plus brainliest to the correct answer!
Taryn conducted a science experiment on saturation. She added sugar to a sugar-water solution at different intervals. The graph shows how much sugar was in the solution at different times.
Which equation represents Taryn’s situation, where x is the number of minutes and y is the tablespoons of sugar?
y = x + 1
y=12x+1
y = 2x + 1
y = x
Answers
y = mx + c
where m is the slope and c is the y-intercept.
From the given graph, the y-intercept is 1.
The slope of a straight line is given by:
[tex]m= \frac{y_2-y_1}{x_2-x_1} [/tex]
Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on the line.
From the graph, (0, 1) and (14, 8) are two points on the line, thus:
[tex]m= \frac{8-1}{14-0} = \frac{7}{14} = \frac{1}{2} [/tex]
Therefore, the equation representing the graph is [tex]y= \frac{1}{2} x+1[/tex]
i completed the test.
Hope i helped
MARK ME BRAINIEST PLEASE :)Which of these graphs are not a function?
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If Jill is playing a game with a single die (singular form of dice), what are the chances she would throw any one number twice in a row?
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A common mistake made on problems like these is to say the answer is 1/12.
The only roll that really matters in this problem is the second one. This is because the first role only determines what the second role must be. Therefore, you only take the probability of rolling one fixed number in one roll, which would be one in six.
I appreciate the fact that you said die in your question, instead of dice.
john is buying a cake for his sisters birthday. he wants to get the most cake he can. one cake (A) is 9.5 inches wide, 13 inches long, and 2 inches high, another (B) is 12 inches wide, 14 inches long, and 1.5 inches high. which will john buy? how much longer is it
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Cake A: 9.5 × 13 × 2 = 247 inches³
Cake B: 12 × 14 × 1.5 = 252 inches³
The best value cake will be cake B
Cake B is 14 - 13 = 1 inch longer and 12 - 9.5 = 2.5 inches wider but it's also 0.5 inches shorter than cake A.
Help I do not understand how to find the area of circles
Answers
To tackle this problem, find the area of the square and then subtract the area if the circle:
Area of square = 20 * 20 = 400
Area of circle = π(10)² = 100π = 314
Area of square - area of circle = 400 - 314 = 86 m²
Hope this helps!
Which expression is equivalent to 9x^5+3x(4x^4-3x^2)^2
Answers
Answer:
[tex]48x^9-72x^7+36x^5[/tex]
Step-by-step explanation:
The initial expression is:
[tex]9x^5+3x(4x^4-3x^2)^2[/tex]
First expand the squared part (inside the parenthesis):
[tex]9x^5+3x(4x^4-3x^2)(4x^4-3x^2)\\9x^5+3x(16x^8-24x^6+9x^4)\\[/tex]
Then, multiply the terms inside the parenthesis by 3x applying the distributive property:
[tex]9x^5+3x(16x^8-24x^6+9x^4)\\9x^5+48x^9-72x^7+27x^5[/tex]
Finally add terms with the same exponent
[tex]48x^9-72x^7+36x^5[/tex]
Answer:
D. 48x^9-72x^7+36x^5
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Btw Look at you doing your school work looking smart! I see youuu! (even if you are cheating a lil but its ok im doing the same xD)
What is the value of p in the equation p−18=38 ?