The graph below shows the solution to a system of inequalities
Which of the following inequalities is modeled by the graph?
A. x + 4y ≥ 15; y ≥ 0
B.x − 4y ≥ 15; y ≥ 0
C.x + 4y ≤ 15; y ≥ 0
D.−x − 4y ≥ 15; y ≥ 0
Answers
using a graph tool
I proceed to graph each of the cases to verify the answer
see the attached figures
the solution is the option C) x + 4y ≤ 15; y ≥ 0
Related Questions
Tom weighs 168.5 pounds. His son weighs 33.7 pounds. How many times as much as his son does Tom weigh
Answers
Tom weights 5 times his son’s weight
if a + b = -5 and x + y = -5, what is 6y + 6x - b - a
Answers
= -25
Draw a number line and show all numbers that are between 1 and 20 and have exactly 4 factors
(or visualize, make it somewhat close to being a number line)
(work with a number line all positives, 1 being smallest, 20 being biggest.
Answers
1 factors
2 = 1 x 2
2 factors
3 = 1 x 3
2 factors
4 = 1 x 4
4 = 2 x 2
3 factors
5 = 1 x 5
2 factors
6 = 1 x 6
6 = 2 x 3
4 factors
7 = 1 x 7
2 factors
8 = 1 x 8
8 = 2 x 4
4 factors
9 = 1 x 9
9 = 3 x 3
3 factors
10 = 1 x 10
10 = 2 x 5
4 factors
11 = 1 x 11
2 factors
12 = 1 x 12
12 = 2 x 6
12 = 3 x 4
6 factors
13 = 1 x 13
2 factors
14 = 1 x 14
14 = 2 x 7
4 factors
15 = 1 x 15
15 = 3 x 5
4 factors
16 = 1 x 16
16 = 2 x 8
16 = 4 x 4
5 factors
17 = 1 x 17
2 factors
18 = 1 x 18
18 = 2 x 9
18 = 3 x 6
6 factors
19 = 1 x 19
2 factors
20 = 1x 20
20 = 2 x10
20 = 4 x 5
6 factors
So they are 6, 8, 10, 14 and 15 on the number line
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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Numbers which have exactly 4 factors between 1 and 20 are 6, 8, 10, 14, 15 represented on number line.
Define factor ?
" In mathematics factor is a number by which when we divides another number remainder is zero."
According to the question,
Factors of all the numbers between 1 and 20
2, 3, 5, 7, 11, 13, 17, 19 are prime number , so they have only two factors.
4 = 1, 2, 4
6 = 1, 2, 3, 6
8 = 1, 2, 4, 8
9 = 1, 3, 9
10 = 1, 2, 5, 10
12 = 1, 2, 3, 4, 6, 12
14 = 1, 2, 7, 14
15 = 1, 3, 5, 15
16 = 1, 2, 4, 8, 16
18 = 1, 2, 3, 6, 9, 18
Hence, we conclude that numbers which have exactly 4 factors between 1 and 20 are 6, 8, 10, 14, 15.
Learn more about factors here
https://brainly.com/question/24182713
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A car traveled at an average rate of 51 miles per hour on one highway. It then traveled at an average rate of 71 miles per hour on a second highway. If the car traveled a total of 508 miles in 8 hours, how many miles were driven on the first highway?
Answers
Five years ago, Tim’s mom was three times Tim’s age today. Now their combined ages are 45. How old is Tim’s mom today?
Answers
Let Tim's age today be t. Since Tim's mom's age five years ago was 3 times Tim's current age, Tim's mom's current age is equal to 3t + 5.
Their ages are collectively 45, so Tim's age t and Tim's mom's age 3t + 5 must be equal to 45. Set up an equation and solve for the variable t.
45 = t + (3t + 5)
45 = t + 3t + 5
45 = 4t + 5
40 = 4t
10 = t
Tim is currently 10, and after plugging 10 for t into 3t + 5, we see that Tim's mom is 35.
Now let's check our work. Their combined ages are 45; 10 plus 35 is equal to 45, so that is correct. Further, addressing the "Five years ago, Tim's mom was three times Tim's age today" bit, we see that 10 - Tim's current age - times 3 is equal to 30, which would be Tim's mom's age 5 years ago.
Answer:
Today, Tim's mom is 35.
Answer:
35 years
Step-by-step explanation:
45 = t + (3t + 5)
45 = t + 3t + 5
45 = 4t + 5
40 = 4t
10 = t
3*10=30,
30+5=35
Which is the best definition of a square? A. a 4-sided polygon with all sides equal B. a parallelogram with all sides equal and all angles equal C. a combination of a rectangle and a trapezoid D. a 4-sided polygon with all angles equal
Answers
The answer should be option B "a parallelogram with all sides equal and all angles equal".
Reason:
The answer is option B because a square is a parallelogram with all sides and angles equal. Its not option A because a square is not a polygon but does have equal sides. Its also not option C because a square is a rectangle but not a trapezoid therefore not combined. Its also not option D because its not a polygon but does have four sides which saying there not equal therefore not the answer.
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Find the value of side A on the right triangle, given that side B = 12 cm and side C = 15 cm
Answers
15-12=3
3sqared=9
A=9
There are 50 dimes in a roll of dimes, 40 nickels in a roll of nickels, and 40 quarters in a roll of quarters. Rob has 12 rolls of coins with a total value of $70.00. He has 3 more rolls of nickels than dimes. How many rolls of each coin does he have?
Answers
How many ways are there to pick 8 balls from large piles of (identical) red, white, and blue balls plus 1 pink ball, 1 lavender ball, and 1 tan ball?
Answers
N=(Number of ways to pick k of the single colors)*(number of ways to pick 8-k balls from red, white pr blue)
The first factor is C(3,k), let's call the second factor A(8-k), where A(n) is the number of combinations or red, white or blue when n balls are selected. Given that we want to express A(n) as a formula in terms of n, let's say there are r red balls in a combination (0≤r≤n). Then there are (n-r) balls that are either white or blue that have been left over. Thus, the number of white balls must be integer from 0 to (n-r), for the universe of (n-r+1) possibilities. Hence, the rest are blue in exactly one way, so A(n) is the sum over r=0 to n:
A(n)=∑(1+n-r)
A(n)=(n+1)(n+1)-n(n+1)2
=(n+1)(2n+2-n)/2
=(n+1)(n+2)/2
thus
A(5)=6*7/2=21
A(6)=7*8/2=28
A(7)=8*9/2=36
A(8)=9*10/2=45
The total will give:
N=C(3,0)*A(8)+C(3,1)*A(7)+C(3,2)*A(6)+C(3,3)*A(5)
N=1*45+3*36+3*28+1*21=258
The answer is 258
How many extraneous solutions does the equation below have? 9 over n squared +1 =n+3 over 4? 0 1 2 3
Answers
Answer:
Option 1 - There is no extraneous solution i.e. 0.
Step-by-step explanation:
Given : Expression [tex]\frac{9}{n^2+1}=\frac{n+3}{4}[/tex]
To find : How many extraneous solutions does the equation have ?
Solution :
First we solve to expression to determine the extraneous solution,
[tex]\frac{9}{n^2+1}=\frac{n+3}{4}[/tex]
Cross multiply,
[tex]9\times 4=(n+3)(n^2+1)[/tex]
[tex]36=n^3+n+3n^2+3[/tex]
[tex]n^3+3n^2+n-33=0[/tex]
An extraneous solution is defined as a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.
The equation form is a cubic function so it has 3 solutions.
Therefore, There is no extraneous solution.
A jar contains 26 fluid ounces of spaghetti sauce. How many cups of spaghetti sauce do 4 jars have
Answers
1 ounces------------------> is 0.125 cup
if one jar contains------------------> 26 ounces of spaghetti sauce
4 jars---------------------------------> X
X=4*26-----------> 104 ounces
if one ounce---------------> 0.125 cup
104 ounces----------------> X
X=104*0.125-----------> 13 cups
the answer is 13 cups
Decide whether the sequence is arithmetic geometric or neither 5,-10,20, -40
Answers
note, that all members of this sequence have '-' and '+' and 5*(-2)=-10, -10*(-2)=20; 20*(-2)=-40.
It means, that the suggested sequence is geometric, where b₁=5, q=-2.
What is 2/7 = 2x what would be the answer
Answers
2/7 = 2x
x = 2/7 ÷ 2
x = 1/7
Hope this helps!
Which of these distance measures would you most likely find on a walking tour map of downtown Paris, using the metric system?
A. Kilo feet
B. Millimeters
C. Centimeters
D. Meters
Answers
Answer:meters
Step-by-step explanation:
Billy is creating a rectangular patio in his backyard using square cement tiles. The length of the patio, in feet, is represented by the function l(x) = x + 5, and the width of the patio is represented by the function w(x) = x + 3. Write the standard form of the function which describes the total area of the patio, a(x) in terms of x, the side length of each tile.
Answers
a = (l) * (w)
Where,
w: width
l: long
Substituting the values we have:
a (x) = (x + 5) * (x + 3)
Rewriting:
a (x) = (x ^ 2 + 3x + 5x + 15)
a (x) = x ^ 2 + 8x + 15
Answer:
The standard form of the function which describes the total area of the patio, a (x) in terms of x is:
a (x) = x ^ 2 + 8x + 15
To find the function for the total area of Billy's patio, a(x), we multiply the length function, l(x) = x + 5, by the width function, w(x) = x + 3. Expanding this multiplication gives us the standard form a(x) = x² + 8x + 15.
Billy is creating a rectangular patio in his backyard using square cement tiles. The function for the length of the patio is l(x) = x + 5, and the function for the width is w(x) = x + 3. To find the function that describes the total area of the patio, a(x), in terms of x, we can multiply the length function by the width function.
First, let's define the area of a rectangle as the product of its length and width: a = l x w. Substituting our functions in, we get:
a(x) = (x + 5) x (x + 3)
Now we will expand this to write it in standard form:
a(x) = x² + 3x + 5x + 15
a(x) = x² + 8x + 15
Therefore, the standard form of the function describing the total area of the patio in terms of x, the side length of each tile, is a(x) = x² + 8x + 15.
Javier buys 12 bagels for $2.50. At this rate how many bagels could Javier buy for $6.25?
A. 18
B. 30
C. 31
D. 48
Answers
2.50/12=0.21
Each is about $.21.
6.25/.21=29.9=30
That means Javier can buy 30 bagels.
Hope this helped☺☺
(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
Answers
(−4)−(−2)–{(−5)–[−7−3+8)]}
(−4)−(−2)–{(−5)–[-2]}
(−4)−(−2)–{(−5)+2}
(−4)−(−2)–{−5+2}
(−4)−(−2)+3}
(−4)+2+3}
(−4)+5}
1
Final answer:
To solve the complex expression involving negative numbers, the order of operations must be followed, dealing with the innermost brackets first and proceeding outward to determine the final answer is 1.
Explanation:
The expression given by the student is a mathematical expression involving negative numbers and the order of operations. To solve the expression (−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}, we need to follow the order of operations, also known as PEMDAS or BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Start by solving the innermost brackets: (−7) + (−3) – (−8) = −10 – (−8) = −2.Next, address the curly brackets by subtracting the result from step 1 from (−5): (−5) – (−2) = −3.Finally, solve the outermost expression by subtracting (−2) from (−4) and then subtracting the result of step 2: (−4) − (−2) – (−3) = −2 – (−3) = 1.Therefore, the final answer to the expression is 1.
what is one fourth of 7?
Answers
In a group of 25 factory workers, 20 are low-risk and five are high-risk. two of the 25 factory workers are randomly selected without replacement. calculate the probability that exactly one of the two selected factory workers is low-risk.
Answers
L=event that a selected worker has low risk
H=event that a selected worker has high risk
We need to find
P(HL)+P(LH)
=5*20/(25*24)+20*5/(25*24)
=1/6+1/6
=1/3
PLEASE HELP WILL GIVE BRAINLIEST!!! What is the y-intercept of f(x)=(1/2)^x
Answers
Try this explanation:
'y-interception' means x=0.
If x=0, then y=1.
answer: (0;1)
Ella used 1/4 yard of red ribbon. Fill in each box with a number from the list to show equivalent fractions for 1/4
Answers
2/8; 3/12; 4/16; 5/20; 6/24; etc.
To find equivalent fractions, we multiply the numerator and denominator by the same number.
Answer:
To find fractions equivalent to a given fraction, the process of amplifying the numerator and the denominator of that fraction must be performed. Specifically, each element is amplified by multiplying it by a positive integer. Thus, fractions equivalent to 1/4 are:
(1x2) / (4x2) = 2/8
(1x3) / (4x3) = 3/12
(1x4) / (4x4) = 4/16
(1x5) / (4x5) = 5/20
(1x6) / (4x6) = 6/24 ... Successively.
Step-by-step explanation:
Who topping covers more of the pizza 2/8 or 5/8
Answers
The answer should be "5/8".
Reason:
My teacher taught me that the fractions with the smaller numbers is the greater number than the fraction with bigger numbers therefore your answer is 5/8!
2/8 < 5/8
Therefore its greater topping.
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
5/8 = 0.625
between these two numbers 0.625 is the largest and hence 5/8 covers more toppings than 2/8 does.
I love cheese pizza
The base of a 6-inch long ice cream cone with a diameter of 2 inches, is cut 0.25 inches from the base. This cut creates two shapes, one is a cone, and the other one resembles a cylinder since it was cut so close to the base. What is the BEST estimate for the volume of the shape that resembles a cylinder?
Answers
A square pyramid has a base length of 6 inches and a height of 8 inches. What is the volume of this pyramid? Enter your answer in the box. in³
Answers
V = 1/3(6^2)(8)
V = 1/3(36)(8)
V = 96 in^3
Final answer:
The volume of the square pyramid with a base length of 6 inches and a height of 8 inches is 96 cubic inches.
Explanation:
To find the volume of a square pyramid, you can use the formula V = (1/3) × base area × height, where the base area is the area of the square base. Since the base length is 6 inches, the area of the base is 6 in. × 6 in. = 36 in.². The height of the pyramid is 8 inches. So, the volume of the pyramid can be calculated as follows:
V = (1/3) × 36 in.² × 8 in. = 96 in.³
Therefore, the volume of the square pyramid is 96 cubic inches.
what are the roots of the equation?
x^2+24=14x
enter answers in the boxes
Answers
(X-2)(X-12)=0
X=2 OR X=12
if they want you to solve then
12/7=-x
8 students can ride in each van. How many vans are needed for 29 students?
Answers
There is the need for 4 vans.
To determine how many vans are needed for 29 students, with each van able to transport 8 students, we can use division and then round up, since you can't have a fraction of a van. We divide 29 students by 8 students per van, which gives us 3.625. Since we can't have 0.625 of a van, we need to round up to the next whole number to ensure all students have a seat. That means we need 4 vans to transport 29 students.
Divide the total number of students by the number of students each van can hold: 29 / 8 = 3.625.
Round this number up to the nearest whole number, because you need whole vans: This gives us 4.
Thus, you need 4 vans to transport 29 students.
According to the south carolina department of mental health web site, for every 200 u.s. women, the average number who suffer from anorexia is one. a group of 600 u.s. women is randomly chosen. part (a) correct: your answer is correct. part (b) correct: your answer is correct. part (c) how many are expected to suffer from anorexia
Answers
The expected value is the found by multiplying the probability by the number in the sample:
(1/200)×600
= (1/200)×(600/1)
= (1×600)/(200×1)
= 600/200 = 3
The line plot shows the measurement of a certain liquid (in milliliters) in nine beakers. If you combined the liquids and then put an equal amount of liquid in each beaker, how much liquid would be in each beaker?
A)
1/8 ml
B)
1/2 ml
C)
7/29 ml
D)
1/4 ml
Answers
We start by adding the amounts given by the line plot:
1/4 + 1/4 + 3/8 + 3/8 + 1/2 + 1/2 + 5/8 + 3/4 + 7/8
Find a common denominator. The smallest thing that 2, 4 and 8 will all evenly divide into is 8:
2/8 + 2/8 + 3/8 + 3/8 + 4/8 + 4/8 + 5/8 + 6/8 + 7/8
Add the numerators:
36/8
Now we divide this by 9:
36/8 ÷ 9 = 36/8 ÷ 9/1 = 36/8 × 1/9 = 36/72 = 1/2
which describes the correlation shown?
Answers
The correlation that is shown in the scatter plot is:
Strong positive.
Step-by-step explanation:From the scatter plot we see that with the increase of one variable the second variable also increases.
Hence, the association is positive.
Also, if we draw a trend line that best represents the scatter plot then not all the points will lie above the line but all the data points are either over the line or very close to the line this means that the correlation coefficient is close to 1 but not exactly equal to 1.
Hence, the correlation is:
Strong positive.
( For perfect positive all the data points should lie above that line i.e. correlation coefficient must be equal to 1)
Answer:
Option C) Strong positive
Step-by-step explanation:
Correlation
Correlation is a technique that help us to find or define a relationship between two variables. It is a measure of linear relationship between two quantities. A positive correlation means that an increase in one quantity leads to an increase in another quantity A negative correlation means with increase in one quantity the other quantity decreases.Looking at the graph it could be said that the variables are strongly positively correlated as with a small increase in one variable, the other variable increases.
It is not a perfect positive relation as change in one variable does not lead to equal change in other variable.
It cannot be negative relation as well.
Suppose that you have a goal to drive two miles at an average rate of 60 miles per hour (mph). during the first mile you travel at a rate of 30 mph. how fast would you need to travel during the second mile in order to reach your goal of 60 mph for the total two mile distance? (hint: remember that rate is found by taking distance divided by time.)
Answers
You need to travel the second mile at infinite speed to average 60 mph.