Which of the following points would be a solution to this system of linear inequalities?
Answers
Let's plug in both x and y values in the equation and check if the inequality is true...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
[tex](4,1) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]
Substitute x as 4 and y as 1
[tex]1 \leqslant 4 + 1 \\ 1 < - \frac{4}{2} - 1[/tex]
[tex]0 \leqslant 4 + 1 \\ 1 < - 2 - 1[/tex]
[tex]0 \leqslant 5 \\ 1 < - 3[/tex]
This is not a solution because both are not true, Only one equation is giving true as answer which is not correct!~[tex]\purple{ \rule{300pt}{3pt}}[/tex]
[tex](0, - 3) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]
Substitute x as 0 and y as -3
[tex] - 3 \leqslant 0 + 1 \\ - 3 < - \frac{0}{2} - 1[/tex]
[tex] - 3 \leqslant 1 \\ - 3 < - 0 - 1[/tex]
[tex] - 3 \leqslant 1 \\ - 3 < - 1[/tex]
This is a solution because both are true, Both the equations are true which means the ordered pair is a solution!~Thus, Option B (0,-3) is the correct choice....
Related Questions
(2,4);slope=1/2
(-8,-1);slope=-3/4
Answers
Answer:
Step-by-step explanation:
1. y - 4 = 1/2(x - 2)
y - 4 = 1/2x - 1
y = 1/2x + 3
2. y + 1 = -3/4(x + 8)
y + 1 = -3/4x - 6
y = -3/4x - 7
what expression is equivalent to 1.2-(-8)
Answers
Answer:
is1.2-(8)+1.2.8
Step-by-step explanation:
the answer is1.2-(8)+1.2.8
Craig lives in a house that is 4 meters below sea level. Craig goes to school every day, which is 10 meters above sea level. How many meters does Craig travel, in altitude, when going from home to school?
Answers
Answer:
14 meters
Step-by-step explanation:
Craig starts at -4 meteres (4 below sea level and sea level is 0) so we add 4 to get to 0.
The school is +10 meters.
4 + 10 = 14 meters
A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf underclassmen students have in a one week period. We know from preliminary studies that the standard deviation is around 2. 8. How many students should be sampled to be within 1. 5 drink of population mean with 90% probability?.
Answers
Answer: 16
Step-by-step explanation:
Standard deviation is 2
Margin error for the problem is 1
Probability 95%, that means thet the siginficance level α is 1 – p
α = 1 – 0.95 = 0.05
margin of error (ME) can be defined as follows
ME = Z(α/2) * standard deviation/ √n
Where n is the sample size
Z(0.05/2) = Z(0.025)
Using a z table Z = 1.96
Now, replacing in the equation and find n
1 = 1.96 * 2/ √n
1 = 3.92 / √n
√n = 3.92
n = 3.92^2
n = 15.36 = 16
i hope this work for you
Work out the fraction that is halfway between 1/3
and
1 1/2
Write your answer in its simplest form.
Answers
Answer:
The fraction that is halfway between 1/4 and 1/2
= (1/4 + 1/2 )/2
= 3/4 ÷ 2
= 3/(4×2)
= 3/8 (final answer)
Answer:
17/12 or 1 5/12
Step-by-step explanation:
Fraction halfway between refers to the mean of the two fractions.
1/3 + 5/2 / 2
2/6 + 15/6 / 2
17/6 / 2
= 17/12 or 1 5/12
How do the slopes of the line segments in Question 3 compare with one another? Based on your observations in Question 1 through 3 , what can you say about the relationship between a preimage and an image under a translation?
Answers
Answer:
All of the lines have an infinite slope because they are all vertical. They are all parallel lines. Under a translation, the corresponding points in an image and the preimage are connected by parallel paths of equal length.
Step-by-step explanation:
Answer:
All of the lines have an infinite slope because they are all vertical. They are all parallel lines. Under a translation, the corresponding points in an image and the preimage are connected by parallel paths of equal length.
Step-by-step explanation:
1. The width of a rectangle is ten meters less than the length. The perimeter is 216 meters,
Find the length and width
Answers
Answer: Width = 49meters; Length = 59meters
Step-by-step explanation:
Let the width be represented by x
The length will be (x+10)
Perimeter = 2(length+breadth)
Perimeter= 2(x + x + 10)
Perimeter = 2(2x + 10)
216 = 4x + 20
4x = 216 -20
4x = 196
x = 196/4
x = 49
Width = 49meters
Length = x+10
Length = 49 + 10
Length = 59meters
Luke bought one hundred thirty two calla lilies for vases to put on tables for a wedding. He needs to divide the lilies among twelve tables. How many calla lilies will be in each vase?
Answers
Answer:
11
Step-by-step explanation:
Why?
Lillies:132
132 divided by 12 is 11
So that means that each vase will give 11 calla lilies each
Jonathon borrowed $700 from his grandparents to start a lawn mowing business in his neighborhood. After
mowing lawns for a month and paying his expenses, he was able to pay them $177.34. How much does
Jonathon still owe his grandparents?
Answers
Answer:
$522.66
Step-by-step explanation:
Subtract 177.34 from $700
700 - 177.34 = $522.66
Jonathon still owes his Grandparents' $522.66
Hope I helped :)
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A club of 50 students is doing volunteer. Each student is volunteering at one of four location. 14 at the hospital, 15 at the pet shelter, 8 at tutoring, 13 at library. What is the probability that the first student volunteers at the library and the other two do not?
Answers
Answer:
The probability is 0.1473
Step-by-step explanation:
Given;
total number of students, n = 50
number at hospital, h = 14
number at pet shelter, p = 15
number at tutoring, t = 8
number at library, L = 13
If three students are chosen at random without replacement, the number of students that will be selected to work in other location is given by;
50 - 13 = 37 students
The probability that the first student volunteers at the library and the other two do not is given by;
P(13 students at library) x P(2 out of the 37 students did not)
[tex]= (\frac{13}{50})(\frac{37}{49})(\frac{36}{48} )\\\\ = 0.1473[/tex]
An algebra tile configuration. 0 tiles are in the factor 1 spot and 0 tiles are in the factor 2 spot. 20 tiles are in the product spot: 1 is labeled x squared, 8 are labeled negative x, and 16 are labeled . the geometric model represents a perfect square trinomial. use the drop-down menus to identify the two factors. factor 1 = factor 2 =
Answers
A quadratic equation is written in the form of ax²+bx+c. The factors of the given tile configuration are (x-4).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
In order to write the algebra tile configuration of the given problem, we need to convert sentences one by one. Therefore, the description can be converted as,
1 is labelled x squared, x²8 are labelled negative x, -8xand 16 are labelled. 16Now, adding all the tiles configuration together we will get,
[tex]x^2 - 8x + 16[/tex]
As we got the quadratic equation now, the roots of the quadratic equation can be written as,
[tex]x^2 - 8x + 16 = 0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)(x-4)=0\\\\(x-4^2)=0[/tex]
Thus, the factors of the given tile configuration are (x-4).
Learn more about Quadratic Equations:
https://brainly.com/question/2263981
g=xcy ? Please help thanks
Answers
Answer:
x = g/cy
Step-by-step explanation:
To solve for x, we need to isolate it on one side of the equal sign algebraically. In this case, since  is being multiplied by  and  we can divide both sides by  and  to isolate 
A ∪ B= {a,b,c,d,e,f} and B= {b,d,f} then, which set presents set A?
Answers
Answer:
set A presents {a,c,e}
someone answer this asap pls
Answers
Answer:
x=3
Step-by-step explanation:
Answer:
3.0
Step-by-step explanation:
Given k Is parallel to l, what can you conclude about these triangles? Check all that apply. Vertical angles prove Angle1 Is congruent to Angle4. Alternate exterior angles prove Angle5 Is congruent to Angle3. Angle5 and Angle3 are alternate interior angles. The ratios of the corresponding angles are equivalent. The triangles are similar because all corresponding angles are congruent.
Answers
For the triangles made by the line k which is parallel to I, the option 1, 3 and 5 are correct.
Vertical angles prove Angle1 Is congruent to Angle4. Angle5 and Angle3 are alternate interior angles.The triangles are similar because all corresponding angles are congruent.What are the angles formed by the transverse line cut by the transversal?Angles formed by the transverse line cut by the transversal-
Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse.Alternate interior angle- This angle made inside the parallel lines cut by the transversal.Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.
Given, k Is parallel to l. The image for this problem is attached below.
Let's check all the options-
Vertical angles prove Angle1 Is congruent to Angle4- In the attached image the angle 1 and 4 are equivalent. Thus, this is the correct option.Alternate exterior angles prove Angle5 Is congruent to Angle3- No, they are interior angles.Angle5 and Angle3 are alternate interior angles-This option is also correct, as angle Angle5 and Angle3 are alternate interior angles.The ratios of the corresponding angles are equivalent-No the ratios are not equivalent for the corresponding angles.The triangles are similar because all corresponding angles are congruent-When the corresponding angles are congruent.Hence, For the triangles made by the line k which is parallel to I, the option 1, 3 and 5 are correct.
Vertical angles prove Angle1 Is congruent to Angle4. Angle5 and Angle3 are alternate interior angles.The triangles are similar because all corresponding angles are congruent.Learn more about the angles formed by the transverse line here;
https://brainly.com/question/13207832
Answer:
1 3 5
Step-by-step explanation:
what is the area of this shape?
Answers
Width Bottom = 8 sq units
Width Top = 4 sq units
Height right = 9 sq units
Height left = about 13 sq units
Add the width and height to lessen the values.
[tex](8 + 4)\\(9 + 13 )\\8 + 4 = 12\\9 + 13 = 22[/tex]
Third, multiply height times width.
[tex]12 * 22 = 264[/tex]
Therefore, the area of this shape should be 264, according to my logic.
Please let me know if you need anything else!
I think of a number i multiple it by 5 i then subtract 19 finally i double the result the final number is 22 what number did i think of
Answers
To solve this problem, you read the problem backwards and to the opposite of that function.
if it says double --> divide by 2 22 / 2 = 11subtract by 19 --> add 19 11 + 19 =30multiply by 5 --> divide 5 30 / 5 = 6Thus the number that is thought of is 6
Hope that helps!
Unknown value: X
(5X-19)*2=22
5X-19=22/2
5X-19=11
5X=30
X=6
Don and Linda would like to replace the hardwood flooring in their dining room. The flooring sells for $15.75 a square foot installed. The room size is 15 feet wide by 22 feet long. They can make a 20% down payment but will need to finance the rest at 12% for 42 months
a. What is the down payment?
b. What is the amount financed?
c. What is the monthly payment?
d. What is the total finance charge?
Answers
Answer:
a) Down payment = $1039.50
b) Amount financed = $4158
c) Monthly payment = $121.73
d) Total finance charge = $5112.66
Step-by-step explanation:
Area of rectangle = width × length
⇒ area of room = 15 × 22 = 330 ft²
Given:
cost of flooring = $15.75 per ft²⇒ Total cost of flooring = area × cost = 330 × 15.75 = $5197.50
a) Down payment = 20% of $5197.50
= 0.2 × 5197.50
= $1039.50
b) Amount financed = total cost - down payment
= 5197.50 - 1039.50
= $4158
c) Monthly payment = [tex]\dfrac{4158 \cdot \frac{0.12}{12}(1+\frac{0.12}{12})^{42}}{(1+\frac{0.12}{12})^{42}-1}[/tex]= $121.73
d) Total finance charge = monthly payment × number of months
= 121.73 × 42
= $5112.66
Given 2x - 3 = 7, what is the value of x?
Answers
Answer:
2x-3=7 /×3
2x=3+7
2x=10 /÷2
x=5
Answer:
Step-by-step explanation:
2x - 3 = 7 Add 3 to both sides
2x - 3+3 = 7 + 3 Combine
2x = 10 Divide by 2
2x/2 = 10/2 Combine
x = 5
These types of equations all follow the same pattern. The look like
ax + b = c You have to isolate the x so add b if b is minus or you subtract b if b is plus. Notice that b was minus in your question. So Add
Now you you have
ax = c - b That always happens. The x is isolated if you deal with b first. Now all you need to do is divide by a.
x = (c - b)/a
Try a couple
3x -4 = 5 The answer is 3
5x + 2 = 27 the answer is 5
HELP ME PLEASEeEeEeE
Answers
Answer:
7.5
Step-by-step explanation:
A brand new smartphone costs $1200. It decreases in value by 13. 3% every year after its purchase. Which function models the value of the phone x years after its purchase?
Question 8 options:
f(x)=1. 133(1200)x
f(x)=1200(1. 133)x
f(x)=1200(0. 867)x
f(x)=0. 867(1200)x
Answers
The function that models the value of the phone x years after its purchase is y = 1200(0.867)^x
Exponential equationsThe standard exponential equation is given as:
y = ab^x
From the given question
a = 1200
b = 1 - 0.133
x is the time
Substitute to have:
y = 1200(1-0.133)^x
y = 1200(0.867)^x
Hence the function that models the value of the phone x years after its purchase is y = 1200(0.867)^x
Learn more on exponential equation here: https://brainly.com/question/2456547
Leila was asked to solve the equation ļ (x + 5) = 29. The first step she did to solve the equation was į (x) + }(5) = 29. What property did she use in this step?
1 associative
2 commutative
3 distributive
4 reflexive
Answers
This question has been asked on Brainly!
https://brainly.com/question/19234403
Huong spent half of her weekly allowance on candy. Earn more money her parents let her wash the car for six dollars. What is her weekly allowance if she ended with $14?
Answers
Answer:
16
Step-by-step explanation:
what is 98 x 47 / 32 x 54?
Answers
Answer:
2837x/16
Step-by-step explanation:
hope this helps - NICK
Answer:
7772.625
Step-by-step explanation:
Given;
[tex]98\times47\div32\times54[/tex]
Solve;
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]Multiply\:and\:divide\:\left(left\:to\:right\right)[/tex]
[tex]98\cdot \:47=4606[/tex]
[tex]=4606\div \:32\cdot \:54[/tex]
[tex]4606\div \:32=\frac{4606}{32}[/tex]
[tex]=\frac{4606}{32}\cdot \:54[/tex]
[tex]=\frac{62181}{8}[/tex]
= 7772.625
~Learn with lenvy~
TwT best answer gets brainliest. someone please help ;w; i would really appreciate it. And pls no links and dont answer if you dont actually know the answer
Answers
Answer:
A-B=6
C-D=4
Step-by-step explanation:
whats the infinitely, one, no solution
Answers
Answer:
Step-by-step explanation:
The infinite solution is when the equation equals something like this:
10 = 10
2 = 2
586 = 586
One solution is when the answer to an equation is something like this
x = 4
x = 17
y = 657
y = 7
No solution is when the equation 'doesn't make sense' or something:
4 = 10
17 = 64
6 = 9
Hope I helped :)
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Find the volume of this pyramid, Round to the nearest tenth if necessary.
Answers
pyramide volume = 1/3 x surface of the base x height
= 1/3 x 2 x 2 x 5 ≈ 6,7 ft³
square base
Factor completely 4x2 − 81. (1 point)
a
(4x − 9)(x + 9)
b
(2x + 9)(2x + 9)
c
(2x + 9)(2x − 9)
d
(2x − 9)(2x − 9)
Answers
Answer:
(2x-9)(2x+9)
Use the difference of square method. square root both sides and the answer has to be in postive and negative
Graph the line with slope 3/4
passing through the point (5, -2).
Answers
A box of chocolates contains four milk chocolates and five dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another piece. What are the odds that both pieces were milk chocolate?( show explanation)
Answers
Answer:
1/6
Step-by-step explanation:
firstly the question is a probability without replacement because the chocolate are eaten after being picked .
next sum the total chocolate in the bag (4+5)=9
now probability is possible outcome over total outcome.
P(a)and p(b) =p(a)xp(b)
p(a)=4 /9
p(b)=3/8 ... because there will be 3 milk chocolate and 5dark chocolate left
hance P=(4/9)(3/8)
=1/6