Answer:
a) (0,0), (-4, 1), (-1,2)b) NoneStep-by-step explanation:
There are two ways of solving similar problems. One- substitute x and y with respective coordinates and verify if the inequalities are correct. Two- graph the lines and see if the points are in the intersection zones.We'll go with the first method. Remember both inequalities should be correct for the same point to accept it as a solution.Given points
(0,0), (-4,1), (-1,2)a) The system of inequalitiesy > x - 1y < -1/2x + 2Point (0,0)
0 > 0 - 1 = -1 correct0 < -1/2(0) + 2 = 2 - correctYesPoint (-4,1)
1 > -4 - 1 = -5 - correct1 < -1/2(-4) + 2 = 4 - correctYesPoint (-1,2)
2 > -1 - 1= -2 - correct2 < -1/2(-1) + 2 = 2.5 - correctYesb) The system of inequalitiesx - 2y ≥ 42x - y ≥ -1Point (0, 0)
0 - 2(0) = 0 ≥ 4 - incorrect2(0) - 0 = 0 ≥ -1 - correctNoPoint (-4, 1)
-4 - 2(1) = - 6 ≥ 4 - incorrect2(-4) - 1 = - 9 ≥ -1 - correctNoPoint (-1,2)
-1 - 2(2) = -5 ≥ 4 - incorrect2(-1) - 2 = - 4 ≥ -1 - correctNo9514 1404 393
Answer:
a. all points are part of the solution set
b. no points are in the solution set
Step-by-step explanation:
Graphs of the two systems of inequalities are attached.
a) The red area on the graph is the solution. The two inequalities can be combined to one compound inequality:
x -1 < y < -1/2x +2
The two boundary lines intersect at x-1 = -1/2x +2 ⇒ x = 2, so there are no points in the solution set with x-values of 2 or greater.
All of the given points are in the solution set.
__
b) The green area of the graph is the solution. Solving each inequality for y gives ...
x -2y ≥ 4 ⇒ 1/2x -2 ≥ y
2x -y ≥ -1 ⇒ 2x +1 ≥ y
The allowed values of y must be less than or equal to the minimum of these limits. The limits have the same value at 1/2x -2 = 2x +1 ⇒ x = -2, so the solution set is the area below and right of that intersection point of the two boundary lines.
None of the given points are in the solution set.
Help I will be marking brainliest!!!!
A. 241 feet
B. 358 feet
C. 258 feet
D. 341 feet
Answer: A. 241 feet
Step-by-step explanation:
The figure shows two rectangular triangles.
These triangles are similar since they have two identical angles:
the first angle is 90 degrees;
the second angle is equal because the law of reflection states that the angle of incidence is equal to the angle of reflection.
The law of reflection states that the angle of incidence is equal to the angle of REFLECTION.
Let's make the proportion:
[tex]\dfrac{4}{273} =\dfrac{5}{x} \\\\x=\dfrac{273 \cdot 5}{4} =341.25 \: (feet)\\[/tex]
It takes a minimum of 100 feet for a parachute to open and safely land without injury, so:
341.25 - 100 = 241.25 (feet)
241.25 ≈ 241 (feet)
Bao is taking a multiple choice test with a total of 100 points available. Each question
is worth exactly 2 points. What would be Bao's test score (out of 100) if she got 8
questions wrong? What would be her score if she got x questions wrong?
Answer:
84
Step-by-step explanation:
100-point test = 50 questions which are worth 2-points each.
(50 x 2 = 100)
If she got 8 wrong, this means she lost 16 points ( 8 questions x 2 points each = 16 points in total)
100 - 16 = 84
To find her score if she got x questions wrong just multiply x by 2 and subtract the answer to 100.
Joanne bought 5 candy bars for $3.50. How much is each candy bar? pls help !!
Answer:
70 cents
Step-by-step explanation:
all you have to do is divide $3.50 and 5 :)
For every person who has the flu, there are 6 people who have only flu-like symptoms. If a doctor sees 40 patients, determine approximately how many patients you would expect to have only flu-like symptoms.
Answer:
Approximately 7 people.
Step-by-step explanation:
Make a proportion of x/6 and divide 40 by 6. We get 6.23333...
This is approximately 7 people.
One-third of a number decreased by six equals eight. What is the number?
6
Answer:
The number is 42.
What is 3 times four divided 69 plus 10
Answer:
I got the answer 234/23
i hope this helps
Peter scored 27 out of 50 in a test. What percent was that? *
-13.5%
-27%
-50%
-54%
Answer:
54% for sure please give me brainliest
Answer:
54%
Step-by-step explanation:
27/50 = 54/100 (multiply the full score untill it is at 100, the use the same number it took for that and multiply the points)
Plz help me out xx tysm
Answer:
see explanation
Step-by-step explanation:
let the number be x , then
[tex]\frac{1}{2}[/tex] x = 44.3 ← is the equation
Answer:
x / 2 = 44.3
Hope that helps!
Step-by-step explanation:
PLS HELP!! GIVING BRAINLIST
Answer:
x=2
y=0
Step-by-step explanation:
8x - 4y = 16
solve for x
8x = 4y + 16
divide 8 by all terms
x = 2 + [tex]\frac{y}{2}[/tex]
Insert x in second equation
8(2+y/2)+4y=16
solve
y=0
x=2
Consider the system of equations below.
4x – 8y = 12
11x + 7y = 33
Answer:
x = 3
y = 0
Step-by-step explanation:
Find the slope of the line y=-6x-4. Type your answer as an integer.
Answer:
The slope is -6
Step-by-step explanation:
In the slope intercept form, it is y=mx+b, where m is the slope and b is the y-intercept
Therefore, -6 is slope and -4 is y-intercept
Determine the value of m∠DCB.
Answer:
Angle DCB is Equal to 78
Step-by-step explanation:
4x+2 + 3x+3 =180
7x +5=180
7x=175
x=25.
Then put the x in the 3x+3
3(25) +3 = 78
so DCB = 78
Please help me it says What kind of triangle makes the Pythagorean theorem true?what angle does it need to have?
right triangle
Step-by-step explanation:The sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found.
hope it helps.
need help please somebody
Answer:
Sorry I’m in a hurry but all you need to do is multiply all the numbers together.
Step-by-step explanation:
I did a problem like that i think
Write the equation of the line passing through the point (-2; 2) that is
PERPENDICULAR to y = -2x + 1 in slope-intercept form. 
Answer:
2y-x-6=0
Step-by-step explanation:
What are the two ways that we discussed in class that can be used to determine if two expressions are equivalent?
How many terms are in the expression below?
3x3+4x+7
Answer:
3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Whenever you are multiplying any numbers or dividing you count them as terms. Since you are multiplying two numbers there will be 2 terms you don't count them if you add.
Tell me if I'm wrong and please explain.
y= x + 3
y= -1/2x - 3
plot 2 lines on the graph
Answer:
y = x + 3 is the Green Line
y = -1/2x -3 is the Blue Line
You are taking a multiple choice quiz that consists of twenty questions. Each
question has five possible choices, only one of which is correct. To complete the
quiz, you randomly guess the answer to each question. Find the probability of
guessing:
well I think it's going to be only 6
Need help as fast as possible please
I will mark BRAINLIST only for correct answers :)
Thank you!
Answer:
Correct Answer
Step-by-step explanation:
Mark as brainliest now NOW!
When Mei solved the system of equations below, she got the
solution x = 4, y = 2. Without solving the system, yourself, can you
tell her whether this solution is correct?
4x + 3y = 22
x - 2y = 0
No
yes
Both
Answer:
yes
yes is answer of this equation
Answer:
answer is yes
Step-by-step explanation:
Help Asap if i can i will give brainliest
Answer:
10x+2y
8c+2
0
Step-by-step explanation:
I NEED HELP PLSSS
Given QUAD is a quadrilateral,
find the value of x.
If the answer is 14, move to J
If the answer is 30, move to L
If the answer is 23, move to K
If the answer is 21.4, move to M
Answer:
=>(4x+14)+(5x-1)+(4x-5)+(2x+7) = 360°
=>4x + 14 + 5x - 1 + 4x - 5 + 2x +7 = 360°
=>15x + 15° = 360°
=>15x = 360°- 15°
=>x = 345/15
=>x = 23
So move to K
A trampoline has a jumping surface that is 15.7 ft. long and 12 ft. wide. What is the area of the jumping surface?
Answer:
188.4
Step-by-step explanation:
because if you multiply 15.7 and 12 you get 188.4 and that is the area of the jumping space.
Answer:
area = length×wide=15.7×12=188.4ft²
Please and thanks!!!
A car dealership buys a car for $12,500. They sell the car for $15,750. What is the percent markup?
Answer: 26%
Step-by-step explanation:
The formula to calculate the percentage markup is given as:
= Selling price - Cost / Cost price × 100
where selling price = $15750
Cost price = $12500
Percentage markup = ($15750 - $12500) / $12500 × 100
= $3250/$12500 × 100
= 26%
Answer: 26
Step-by-step explanation:
12,500 - 15,750= 3250
The radius of a circle measures 12 centimeters.
What is the circumference of the circle?
Answer:
C=24π
Step-by-step explanation:
C=2πr
C=2π12
C=24π
≈75.39
Round 1.823 to the nearest whole number.
Answer:
2
Step-by-step explanation:
Look at the ones place (1). Look to the right of it (8). Since 8 is more than 4, raise the 1 to the next number, 2. So rounded to the nearest whole number, the decimal 1.823 is 2.
Hope it helps!
Fill in the blank to make an equivalent ratio.
4:7 = ______ : 56
Answer:
4:7 = 32:56
Step-by-step explanation:
4 x 8 = 32
7 x 8 = 36
Hope this helped!
PLZZZZZ give me brainliest
Answer: 32:56
Step-by-step explanation:
because first I divided 56/7=8 and then did 4*8=32. You're welcome!!! c:
can somebody help me
Answer:
m=1/2
Step-by-step explanation:
your answer is right