Answers
Answer:
a) 4x -3y ≥ -24
b) 2x +3y ≥ -12
c) 4x -3y ≤ 12
d) 2x +3y ≤ 24
Step-by-step explanation:
All of the given points are on the axes, so it is useful to know the intercept form of the equation for a line is ...
x/a +y/b = 1 . . . . . . where a is the x-intercept and b is the y-intercept.
a)The boundary line for the first side is ...
x/-6 +y/8 = 1
4x -3y = -24 . . . . . . multiply by -24 to put in standard form
The graph shows the quadrilateral is to the right of this line, so its inequality is ...
4x -3y ≥ -24
__
b)The boundary line for side 2 has equation ...
x/-6 +y/-4 = 1
2x +3y = -12 . . . . . multiply by -12
The quadrilateral is to the right of this line, as well, so its inequality is ...
2x +3y ≥ -12
__
c)We can see from the graph that the x-intercept of the boundary line for side 3 is x=3. The equation for that boundary line is ...
x/3 +y/-4 = 1
4x -3y = 12
The quadrilateral is to the left of this line, so its inequality is ...
4x -3y ≤ 12
__
d)Apparently, side 4 is intended to use points already given. We assume it passes through (6, 4) and (0, 8). This boundary is parallel to side 2, so will have the same equation, but with a different constant.
2x +3y = 2(0) +3(8) = 24
The quadrilateral is to the left of this line, so its inequality is ...
2x +3y ≤ 24
__
The second attachment shows a graph of the four inequalities with their shading.
_____
Additional comment
All of the inequalities are written in standard form, so the x-coefficient is positive for all of them. The direction of the inequality symbol can be chosen to select values of x that are greater than or less than those on the boundary line. If the shading is to be to the right, then larger x-values are required, and the inequality will have the form ax + by ≥ c (a > 0). If shading is to the left, then smaller x-values are required, and the inequality symbol points in the other direction.
The figure is a parallelogram, not a rectangle.
Related Questions
Jack rode his bike 30 miles 5 hours. At this rate, how long would it take jack to ride one mile?
Answers
Answer:
36 seconds
Step-by-step explanation:
30 / (5 x 60) = 0.01
0.01 hours = 0.6 minutes
0.6 minutes = 36 seconds
Answer:
10 minutes
Step-by-step explanation:
First, we need to convert hours to minutes. 5 x 60 = 300.
300 minutes for 30 miles.
Next, divide both numbers by something to equal 1. (Divide it by 30, because we are trying to get 30 to 1.)
300 divided by 30 = 10
30 divided by 30 = 1
So, it would take Jack 10 minutes to ride 1 mile.
given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line
Answers
Answer:
y= (1/2)x + 2
Step-by-step explanation:
yeah-ya.......... right?
Which of the following is a triangle circumscribed by a circle?
Answers
Answer:
Hi again
Its your 3rd option
Step-by-step explanation:
Answer:
Step-by-step explanation:
Option 3 is correct just got the test!
Will give BRAINLIEST
Answers
Answer:
Quadrant 1 (1,5)
Step-by-step explanation:
The upper right quadrant is quadrant 1 and the quadrants go in a counter clockwise direction.
Point T is in the upper right which is quadrant 1
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y=5/6x+5
Step-by-step explanation:
Just ask!
Hope this helps.
Sorry if I'm wrong.
~Happy Holidays!!~ o(*￣▽￣*)ブ
Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip, she only drove 52 miles. Write and solve an equation to find the number of days veronica traveled.
Answers
Answer:
562 = 85x +52
x is the number of days
Veronica traveled for 7 days
Step-by-step explanation:
562 = 85x + 52
510 = 85x Subtract 52 on both sides
6 = x Divide by 85 to isolate x
Even though Veronica only had to drive 52 miles on the last day of her trip, it still counts as a day of driving. Hence, she traveled 7 days in total.
John gets his haircut at Billy's Barbershop. The barbershop charges $25 for a haircut. John has a 20% off
coupon for his birthday. After the discount is applied, John tips Billy 18%. How much does John spend in total at
the barbershop?
amount
% = new
amount
25
20
Answers
Answer:
John spends $23.60 at the barbershop.
Step-by-step explanation:
convert all % to decimals (/100)
0.2 x 25 = 5
25 - 5 = $20
0.18 x 20 = 3.6
20 + 3.6 = $23.6
my Christmas present to you
Answers
Answer:
TY
Step-by-step explanation:
Bob and Dave go to PizzaScoff. Starting with 35 pizzas, Bob eats 6 and 4/5 and Dave eats 8 and 1/3 pizzas. How many are left/?
Answers
Answer: 15 1/3 or 15.333333
Step-by-step explanation:
write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)
Answers
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]
Question 7 of 25
If f(x) = 3x2 - 2x + 4 and g(x) = 5x2 + 6x - 8, find (f+ g)(x).
A. (f+ g)(x) = -2x2 - 8x+ 12
B. (f+g)(x) = 8x2 + 8x + 12
O C. (f+g)(x) = 2x2 + 8x - 12
D. (f+g)(x) = 8x2 + 4x - 4
Answers
Answer:
D. (f+g)(x) = 8x^2 + 4x - 4
Step-by-step explanation:
The notation (f+g)(x) is shorthand for f(x) +g(x).
(f +g)(x) = f(x) +g(x) = (3x^2 -2x +4) +(5x^2 +6x -8)
= (3 +5)x^2 +(-2 +6)x +(4 -8)
(f +g)(x) = 8x^2 +4x -4
Write the linear equation into Standard Form. 8+3x=-9y
Answers
Hello! :p
Original: 8+3x=-9y
standard form: 3x + 9y = -8
I hope this helps! Have a wonderful day! :)
Please answer this ASAP
Solve for x.
5x−3=13−3x
A: x=-2
B: x= -5
C: x=2
D: x=5
Answers
Answer:
5x−3=13−3x
x=2
positve 2
A customer buys 6 packages of nails and 7 packages of screws for $74.35. What is the price of a package of screws?
Answers
The price of the package of screws would be = $40
How to calculate the package of screws bought by the customers?The quantity of nails bought by the customer = 6 packages
The quantity of screw bought by the customer = 7 packages of screw.
The total amount of the whole package = $74.35
The total number of packages = 6+7 = 13
For screws = 7/13 × 74.35
= 520.45/13 = $40
Learn more about division here:
https://brainly.com/question/25289437
#SPJ1
what's the answer of 7 1/2
Answers
Answer: 7.5
Step-by-step explanation: hope this help :)
Answer:
7.5
Step-by-step explanation:
hope this help you guys to answer the question
Nick is going to roast some marshmallows over a campfire tonight. Nick buys 4 bags of marshmallows. Each bag costs $3. Nick also buys a $2 lighter
Answers
Answer: 14
Step-by-step explanation: I solved the equation
Answer:
14 dollars
Step-by-step explanation:
BRAINLIEST
Please answer these
Answers
3.14 is used for pi.
6. r = [tex]\sqrt{\frac{A}{\pi } }[/tex]
14.00
7. d = [tex]\frac{c}{\pi }[/tex]
5.00
8. d = [tex]2 \sqrt{\frac{A}{\pi } }[/tex]
23.01
9. r = [tex]\frac{c}{2\pi }[/tex]
20.01
10. d[tex]\pi[/tex] = [tex]2 \sqrt{{A}[/tex]
31[tex]\pi[/tex]
11. r[tex]\pi[/tex] = [tex]\frac{c}{2}[/tex]
22.5[tex]\pi[/tex]
Hope this helps :)
Answer:
12. 95.03
13. 52π mm or 52 mm
14. 119.38 meters
15. 227 in²
Note: (make sure to double check all of these because it never hurts to).
At the school dance, between 6 and 7pm, 10 students per minute arrived. If there are 2050 students in the school,
what percent of them arrived at the dance between 6 and 7pm?
Answers
Answer:
600 is 29.268292682927% of 2050.
29.30% rounded off 1 decimal place (tenths)
29.27% rounded off 2 decimal places (hundredths)
Step-by-step explanation:
6-7pm is 1 hr.
1hr = 60 min
10 students per min
60 min * 10 = 600
600 ÷ 2050 = 0.29268292682927 = 29.268292682927%
Please use the graph below and not some other graph. A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Answers
Answer:
see attached
Step-by-step explanation:
The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.
__
Additional comment
We don't have access to your segment tool, so you will have to copy the graph.
What is the value of log3 27?
Answers
Answer:
Logarithm base 3 of 27 is 3 .Step-by-step explanation:
hope it helpsAnswer:
3
Step-by-step explanation:
27 = 3 x 3 x 3 = 3³
log3 27
= log3 3³
= 3 log3 3
= 3 x 1
= 3
Note : -
Formulas : -
Logn n = 1
Logn n^n = n Logn n
2.48 rounded to the nearest hundredth pl
Answers
Answer:
2.50
Step-by-step explanation:
2.50 might be the answer
Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost
$28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy?
How many shirts did she buy?
ONLY ORIGINAL ANSWERS OR NO BRAINLIEST WILL BE GIVEN AND NO SITES OR CHEET SHEETS
Answers
If my calculations are correct, Sally would be able to buy 3 pairs for 84 bucks and 5 pairs of shirts for 60 bucks, making a total of 144 bucks.
Goran bought a sofa on sale for $172.80. This price was 36% of the original price.
What was the original price?
Answers
172.80 + .36 = 173.16
So original price was 173.16
Answer:
$270
Step-by-step explanation:
So Big G gets a great deal on a sofa...$172.80...the original price has to be higher, right? He (? She?) got 36% off...This means that they DID NOT pay 36%, but they DID pay 64% (bc 36 + 64 = 100%)
SO, you need to change percents to decimals to work with them in an equation. Let p be the original price. Original price times 64% will equal the sale price.
.64p = 172.80
DIVIDE BY .64
p = 270
You can check it using the 36% ---
270 × .36 = 97.2
The discount is $97.20
270 - 97.20 = 172.80✅
The original price for Goran's sofa was $270.00
11.65×0.23 helpppp plssss
Answers
Answer:
2.6795
Step-by-step explanation:
Just ask! :)
(✿◡‿◡) HAPPY HOLIDAYS!!!
Answer:
2.6795
Step-by-step explanation:
Use the graph below to answer the question.
Answers
The statements that are true are:
a. The rate of change of segment T is decreasing
b. Difference between the rate of change of segments S and R is 3½
How to Find Rate of ChangeRate of change (slope) = change in y / change in x = rise/runRate of change for horizontal line/graph are always zero.To determine which statements are true, find the rate of change of each segment in the graph.
Rate of change for Segment R:
Segment R is horizontal, therefore the rate of change = 0.
Rate of change for Segment S:
Rate of change = rise/run = 7/2 = 3½.
Rate of change for Segment T:
Rate of change = rise/run = 8/-8 = -1.
Rate of change for Segment U:
Rate of change = rise/run = 5/3 = 2⅔.
The rate of change of segment T is negative, therefore, it is decreasing. (Option 1 is true).
Difference between Rate of change of segment S and R = 3½ - 0 = 3½. (Option 2 is also true).
Rate of change for segment T, -1, is less than rate of change for segment S, 3½. (Option 3 is not true).
Option 4 is false. Rate of change for segment U is rather 2⅔.
Option 5 is also not true. Segment R has a rate of change of 0.
Therefore, the statements that are true are:
a. The rate of change of segment T is decreasing
b. Difference between the rate of change of segments S and R is 3½
Learn more about rate of change on:
https://brainly.com/question/8728504
Mrs ray is teaching a 5th grade class . She is standing 5 meters in front of Kiara. Ian is sitting 12 meters directly to Kiara’a right . How far apart are Mrs Ray and Ian
Choices
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
Answers
please help dont want to fail final exam
How much does she earn if she does not make any sales on a given day?
Question 7 options:
$75
$175
$0
$25
Answers
Answer:
$75 I think. Not 100% sure but like 95% sure :)
Is it True or false ?
Answers
Answer:
Step-by-step explanation:
true
Tom’s weekly salary increased from $240 to $300. What was the percent change?
Answers
Answer: 25%
Step-by-step explanation:
Answer:
25% increase
Step-by-step explanation:
Algebra 2
What is the sum If x≠0?
Answers
Answer:
14x^4sqrt10
Step-by-step explanation:
Out of the two possible answers showing in the picture it seemed as is it was the only valid answer