Answers
Answer:
[tex]y > -x+4[/tex]
Step-by-step explanation:
we know that
The solution of the inequality is the shaded area above the dotted line
The slope of the dotted line is negative
The y-intercept of the dotted line is (0,4)
The x-intercept of the dotted line is (4,0)
Find the slope of the dotted line
[tex]m=(0-4)/(4-0)\\ m=-1[/tex]
The equation of the dotted line in slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=-1[/tex]
[tex]b=4[/tex] -----> y-intercept
substitute
[tex]y=-x+4[/tex]
Find the equation of the inequality
Remember that the solution is the shaded area above the dotted line therefore
The inequality is
[tex]y > -x+4[/tex]
Related Questions
what is the approximate volume of a cylinder with the radius of 4 cm and height of 5 cm
Answers
Plug in the radius and height for the cylinder.
[tex] \pi [/tex]4²5 = 251
The approximate volume of the cylinder is 251 cm³.
Staci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirt from the event for close friends. she is taking $200.00 to the festival. what is the maximum number of t-shirts can purchase?
Answers
After purchasing the festival ticket, Staci has $112.04 remaining from her $200 budget. Each T-shirt costs $30, so she can buy a maximum of 3 T-shirts.
Explanation:The student asked how many
T-shirts Staci can purchase at a music festival considering she has a budget of $200, and she also needs to buy a ticket and possibly T-shirts for her friends.
First, we need to subtract the cost of the festival ticket from Staci's total budget which is $200.00 - $87.96 = $112.04 remaining. Now, if each T-shirt costs $30.00, we can find the maximum number of T-shirts she can purchase by dividing the remaining money by the cost of one T-shirt.
$112.04 / $30.00 = 3.734.
Since Staci cannot buy a fraction of a T-shirt, she can purchase a maximum of 3 T-shirts with the remaining budget.
The linear function graphed below represents Tim’s age in the years since he was married. Which of these statements is correct?
A(The initial value is 22, and the rate of change is 1.
B(The initial value is 22, and the rate of change is 15.
C(The initial value is 32, and the rate of change is 1.
D(The initial value is 32, and the rate of change is 15.
Answers
Answer:
B) The initial value is 22, and the rate of change is 15.
Step-by-step explanation:
The first point is located at (22, 54). This means the initial value is 22.
The rate of change is found using the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the first two points, we have
[tex]m=\frac{69-54}{37-22}\\\\=\frac{15}{15}=1[/tex]
wich one is the solution???: 4(2x-1)=-3x+32
i dont understand this thing....
Answers
4 and 2x =8x 4 and -1 = -4
So, you know got:
8x - 4 = -3x + 32
Move one of the x's. In my case, I will move the -3x. Also move the number as well. I will move the -4
8x + 3x = 11x
32+4 = 36
Now you got: 11x=36
36/11= 3.27272727…
I need help with #8 & #9
Answers
for 9) V=384m i think but I'm not sure about it. I usually skip extra credit, I don't recommend it though. You should aim for above and beyond and not average.
A certain college randomly selected 30 freshman students who completed college algebra during their first semester. Fifteen students were chosen from students who took the course at night and 15 students were chosen from students who took the course during the day. The following statistical information was calculated from their final grades.
Day Night
Mean 76 68
Median 68 72
Mode 64 72
Range 38 53
Based on these samples, what generalization can be made? (Assume that a score of 70 or greater is a passing score.)
A.
The mean score for the night students was higher than the mean score for the day students.
B.
The median score for the day students was higher than the median score for the night students.
C.
The mean score for the day students was higher than the mean score for the night students.
D.
The range of scores was larger for the day students than for the night students.
Answers
It's C because if you look at the day and night students, the mean score for the day students was actually higher then the mean score for the night student.
Answer: C
Step-by-step explanation:
what is the exact volume of a sphere with a diameter of 6 ft
Answers
Formula:
V = 4/3(π)(r^3)
V = 4/3(π)(3^3)
V = 4/3(π)(27)
V is about 113.1
Julia has two children who are four years apart in age. Julia is four times older than her youngest child. The sum of the ages of Julia and her children is 76 years. How old is Julia and each of her children?
Answers
Answer:
c
Step-by-step explanation:
How many inches did the height of the plant increase between weeks 3 and 4
Answers
Choose the correct simplification of the expression (7m3 n) 2. 14m5n3 14m6n2 49m5n3 49m6n2
Answers
(7m ^ 3n) ^ 2
By power properties we can rewrite the expression as:
((7 ^ 2) (m ^ (3 * 2)) (n ^ 2))
Then, simplifying we have:
(49 (m ^ 6) (n ^ 2))
Answer:
the correct simplification of the expression is:
(49 (m ^ 6) (n ^ 2))
If the area of a circle is 58 square feet find the circumference
Answers
r= radius
Area= πr^2
58= (3.14)r^2
divide both sides by 3.14
18.4713375796= r^2
take the square root of both sides
4.2978294033 feet= r
CIRCUMFERENCE
C= 2πr
C= 2(3.14)(4.2978294033)
C= 26.99 feet (or rounded to 27 ft)
ANSWER: 26.99 feet (or rounded to 27 ft)
Hope this helps! :)
Help asap thank you....
Answers
Please help, personal finance question
Dave has a life insurance policy with $2.2 million benefit. If this money was put into an account with a 3.4% interest rate, how much income can his beneficiaries expect i case Dave dies?
A $74, 800
B $20, 600
C. $60, 000
D $40, 000
Answers
Answer:
Step-by-step explanation:
The maximum value can reach $74, 800 if Dave Dies.
What is Exponential GrowthInsofar as they use compound interest, life insurance premiums are equivalent to bank interest rates. We may use the exponential growth formula to get the insurance policy payout because they are compound interests. Those being the following,
Given:
T = [tex]a(1+r)^t[/tex]
Where:
T is the final payout, a is the initial amount, r is the interest rate in decimal form and t is the time.
So, T = [tex]2200000(1+ 0.034)^t[/tex]
let Dave dies after 2 years of buying his life insurance the beneficiaries will get the following payout.
T = [tex]2200000(1+ 0.034)^2[/tex]
T= 2200000 ( 1.069156)
T = $23,52,143.2
So, the maximum value can reach $74, 800.
Learn more about Exponential Growth here:
https://brainly.com/question/10575165
#SPJ5
George is playing a board game and hopes to roll a sum of 5 he tosses a pair of number cubes what is the probability that the sum of the numbers tossed will be five
Answers
The probability of rolling a sum of 5 with two dice is 1/9, as there are 4 favorable outcomes out of the 36 possible outcomes when rolling two dice.
The student asked about the probability of rolling a sum of 5 using two fair, six-sided dice (also known as number cubes). To find this probability, we need to consider all possible outcomes that result in a sum of 5 and divide it by the total number of possible outcomes when rolling two dice.
By examining the possible ways to get a sum of 5, we have the following pairs: (1,4), (2,3), (3,2), and (4,1). There are 4 favorable outcomes. Since each die has 6 faces, there are a total of 6 x 6 = 36 possible outcomes when rolling two dice. Thus, the probability of rolling a sum of 5 is 4/36, which reduces to 1/9.
To conclude, the probability to roll a sum of 5 on two dice is 1/9.
Plz tell me the aswer and how you worked it out. A tree grows to a height of 13.75m over 5 1/2 years. What is the average annual growth rate in metres per year?
Answers
_______
5.5 I13.75
you need to get your decimal out of deviser (5.5) will now be (55) because you moved the decimal over there you also need to move the decimal that is on the inside to and it will be (137.5)
2. When you divide you would get 2.5
3. Now you would know how much the tree grew over the 5 1/2 years.
ANSWER: 2.5m a year!
Hope this helped!
:)
What is a 4:1 ratio? Is it equivalent to 75% to 25%?
Answers
for this much of this:theres this much of that
lets say you have 4:1 in spoons and forks.
for every 4 spoons, there is 1 fork. if there is 8 spoons there are 2 forks and so on.
The percent is 400%
if you meant 1:4 the percent would be 25%. all other rules apply.
for every 1 spoon you have 4 forks.
Alana tosses 2 number cubes. She wins if she rolls double sixes. Find p(Alana wins)
Answers
The number of events we have in this situation is 2, one for each die. Each die has a 1/6 chance of landing a six, and we need two to win. So, the probability of this event is 1/6 times 1/6, or 1/36.
Alana has a 1/36 chance of winning by rolling two sixes.
x^2-7×+10 solve for quadratic formula.
Answers
sorry it’s a bit messy but I hope this helps.. if u didn’t mean to be solved this way please tell me and I’ll do my best to help :)
All the answers please on paper and work
Answers
8² + 15² = 17²
64 + 225 = 289
This is true, so the triangle is a right triangle.
2)
4² + 12² = 13²
16 + 144 = 169
This is false, so the triangle is not a right triangle.
3)
20² + 21² = 27²
400 + 441 = 729
This is false, so the triangle is not a right triangle.
4)
28² + 45² = 53²
784 + 2,025 = 2,809
This is true, so the triangle is a right triangle.
Michael has 225 milliliters of a liquid. To find out the number of grams of calcium in this liquid, Michael multiplies the volume by 0.015. When he writes the number representing the amount of calcium in the liquid, how many significant digits will the number have?
Answers
[tex]225*0.015=3.4[/tex]
We can conclude that the number representing the amount of calcium in the liquid will have two significant figures.
Answer:the answer is 2 trust me it had 2 significant digits
Step-by-step explanation:
The reason why is because the number 0.015 only has 2 significant digits is because until a number that is not 0 comes up then it doesn’t count as a significant digit so in this case the number 1 is the number that does start with a zero so thats 1 significant digit and then after that is 5 so they’re is the second significant digit so the 2 other zeros don’t count cause in order for the zero to be a significant digit it has to be to the left of a other number thats not 0 so there’s your answer mark me brailiest pls and have a good day .-. :)
Which story problems could be solved using the given equation? Choose exactly two answers that are correct. A. Bo is carrying a bag of topsoil that is full. He drops the bag and of the soil pours out onto the ground. How much of the bag of soil poured onto the ground? B. The city park has an area of square kilometer. The width of the park is kilometer. What is the length of the park? C. Julia has a bucket that contains gallon of water. She wants to pour the water to fill some dog bowls. Each bowl holds gallon of liquid. How many dog bowls can Julia fill with water? D. Kai has a rope that is meter long. Kai cuts off a piece that is of the length of the rope. How long, in meters, is the piece of rope that Kai cut off?
Answers
If a scale factor of 1/5 is used to make a reduction what is the base of the original triangle? A) 1 B) 10
C) 15
D) 25
Answers
Answer: D
Step-by-step explanation: :) m sure
A circle has a center at (1,-2) and radius of 4. Does the point (3.4,1.2) lie on the circle? Justify your answer.
Answers
The point (3.4, 1.2) lies on the circle with center at (1, -2) and radius of 4, as the distance from the point to the circle's center is exactly equal to the circle's radius.
The question asks if the point (3.4, 1.2) lies on a circle with a center at (1, -2) and a radius of 4. To determine this, we can use the distance formula, which calculates the distance between two points in a coordinate plane. The distance formula is √((x_2 - x_1)^2 + (y_2 - y_1)^2), where (x_1, y_1) and (x_2, y_2) are the coordinates of the two points. In this case, the center of the circle is (1, -2) and the point in question is (3.4, 1.2).
To see if the point lies on the circle, we check if the distance from the point to the center equals the circle's radius. Calculating: √((3.4 - 1)^2 + (1.2 - (-2))^2) = √((2.4)^2 + (3.2)^2) = √(5.76 + 10.24) = √16 = 4. Since this distance is exactly 4, which is the circle's radius, the point (3.4, 1.2) does indeed lie on the circle.
x^2+13x+30=0 in quadratic formula
Answers
[tex]x^2+13x+30=0\\\\a=1;\ b=13;\ c=30\\\\\Delta=13^2-4\cdot1\cdot30=169-120=49 > 0\\\\\sqrt\Delta=\sqrt{49}=7\\\\x_1=\dfrac{-13-7}{2\cdot1}=\dfrac{-20}{2}=-10\\\\x_2=\dfrac{-13+7}{2\cdot1}=\dfrac{-6}{2}=-3[/tex]
Answer: x = -10 or x= -6.
Sue used the equation y=10x to calculate how much money, y, she would make for babysitting x hours. How many hours did Sue babysit for if she made $260?
Answers
Plug in $260 for y.
260 = 10x
Divide by 10.
x = 26
Sue babysat for 26 hours.
April wants to know what the probability is that a card drawn randomly from a deck will be a heart. Her sample space includes all 52 cards in a standard deck. Which of these outcomes composes the event?
(This question was not multiple choice)
Answers
13/52.
13 is prime. 52 can be divided by 13.
1/4 chance that a card will be hearts, or a 25% chance.
There is a 1/4 chance.
In decimal 0.25
In percentage 25%
Ik the other guy answered it but I figured why don't I answer it as well :)
which linear equations best describe the given model?
A. y=x+7.5
B. y= -x+7.5
C. y= -1/2x+7.5
based on this equations estimate the mood rating for a student that spent 5.5 hours online
Answers
ANSWER BOTH QUESTIONS FOR BRAIN
Answers
a= one leg
b= other leg
c= hypotenuse
a^2 + b^2= c^2
plug in known numbers
(12)^2 + b^2= (15)^2
to square, multiply the number by itself one time
(12*12) + b^2= (15*15)
144 + b^2= 225
subtract 144 from both sides
b^2= 81
take square root of both sides
b= 9
ANSWER: (D) 9 units
________________
BOTTOM QUESTION:
a= one leg
b= other leg
c= hypotenuse
a^2 + b^2= c^2
plug in known numbers
(4)^2 + (5)^2= c^2
16 + 25= c^2
41= c^2
take the square root of both sides
√41= c
41 is not a perfect square
ANSWER: (D) √41 units
Hope this helps! :)
On which of the following lines does the point (7, 1) lie?
A.) y = 5x + 4
B.) y = -x + 8
C.) y = x - 10
D.) y = -4x + 3
Answers
the point (7, 1)
case A.) y = 5x + 4
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=5*7+4------> y=39
39 is not 1---------> the point does not belong to the line
case B.) y = -x + 8
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=-7+8------> y=1--------> the point belongs to the line
case C.) y = x - 10
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=7-10------> y=-3
-3 is not 1---------> the point does not belong to the line
case D.) y = -4x + 3
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=-4*7+3------> y=-25
-25 is not 1---------> the point does not belong to the line
the answer is the option
B.) y = -x + 8
Jasmine works in Lower Beauvale and arrives at the station at 5.20 p.m. If she catches the next available train to Common Top, what time will she arrive?
Answers
Answer:18:19
Step-by-step explanation: