Answers
Step-by-step explanation:
To draw the graph, follow these steps:
Graph the lines using points from the equations. (the blue line shown should be dotted, unfortunately I cannot do that in the program I used)Determine which direction the inequalities are correct. Find the boundary given.The three inequalities given form a triangle.
The first equation, y ≤ 2x + 5, has a y-intercept at (0, 5) and a point at (-2, 1).
The second equation, y < -3x + 10, has points at (3, 1) and (2, 4).
Use two points to draw the lines.
After the lines are drawn, determine which side of the line the inequality works on. You can do this by testing points that are not on the line.
I will test each inequality using (0, 1):
y ≤ 2x + 5
0 ≤ 2 + 5
This is correct, so the inequality for y ≤ 2x + 5 will be shaded towards (0, 1).
y < -3x + 10
0 < -3 + 10
This is correct, so the inequality for y < -3x + 10 will be shaded towards (0, 1).
0 ≤ 1
This is correct, so the inequality for 0 ≤ y will be shaded upwards towards (0, 1).
The end result of this graph is all three inequalities being shaded (inwards).
The solution is a triangle with points at (1, 7), (3.33333, 0), and (-2.5, 0).
Related Questions
HELPPPPPPPPPPPPPPP MEEEEE
Answers
Answer:
-2
Step-by-step explanation:
Answer:
the number is the third one -2
Maria is four times as old as Frank. In two years Maria will be 3 times as old as Frank. Find their present ages?
Answers
Answer:
Maria is 16 and Frank is 4
Step-by-step explanation:
Use the sequence below
to complete each task.
-6, 1, 8, 15, ...
a. Identify the common difference (a).
b. Write an equation to represent
the sequence.
C. Find the 12th term (22)
Answers
Answer:
d=7, b -13+7n c 71
Step-by-step explanation:
a= - 6
2nd term=a+(n_1)d
a+d
1+6
=7
b tn a-(n_1)d
_6+(n_1)d
_6 +7n_7
_13+7n
tn a+11d
6+11(7)
6+77
=83
Which operations could you use to solve this word problem? Check all that
apply
STEP 2: PLAN
The entire school, 250 students, went to the soap
box derby. The Math Club went in 2 vans, and
each van held 6 students. How many students
from the Math Club went to the soap box derby?
O
A. Multiplication
B. Subtraction
C. Division
D. Addition
Answers
Answer:
A and D
Step-by-step explanation:
if each van held 6 students and the math club went in two vans, then you can use multiplication to figure it out. each van held 6 students, the math club went in two vans, so the equation can be 6 x 2. BUT you can do addition as well. because 6 plus 6 will give you the same answer as 6 x 2 because each van holds six students, there were two vans so 6 plus 6 is another way to solve this problem.
Which is NOT true regarding the hypotenuse? *
O It is the longest side of the right triangle
It helps form the right angle.
It is across from the right angle
Answers
Answer:
It helps form the right angle.
Step-by-step explanation:
The hypotenuse is across from the right angle formed by the shorter sides.
Answer:
B: It helps form the right angle.
Step-by-step explanation:
Determine if a linear, exponential, or quadratic function is the best model for the data given in the table below.
Answers
Answer:
linear
Step-by-step explanation:
yes it is linear since I did this question and got it right
Determine between which consecutive integers the real zeros of f(x) = x2 – 3x + 1 are located.
between -1&0,0&1 and 2&3
between -1&0,0&1 and 1&2
between -28-1,0&1 and 1&2
between -2&1, 0&1 and 1&2
Answers
Answer:
between -2&1,0&1 and 1&2
Please help answer this asap!
Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added together, the y term is eliminated?
1/4x - 1/6y = 5
4/5x + 3/8y = 10
1. 18 times the first equation and 8 times the second equation
2. –18 times the first equation and 8 times the second equation
3. 8 times the first equation and 6 times the second equation
4. –8 times the first equation and 6 times the second equation
Answers
Answer:
try answer 3 its been a minute hun but im pretty sure its 3. im sorry if the answer is wrong.
Step-by-step explanation:
John and David have a rectangular piece of property. The length is 8 more miles than the width, the perimeter is 60. What are the possible dimensions?
Answers
Answer:
Length: 19
Width: 11
Step-by-step explanation:
19 miles is 8 miles longer than 11 miles.
With these dimensions, the perimeter is equal to 60 miles.
Lines r and a are parrallel.if m<2=110,what is m<7?
Answers
Answer:
m< 7 = 70
Step-by-step explanation
m< 2 + m< 1 = 180
180 - 110 = 70
m< 1 = 70
because the lines are parallel m< 1 = m< 7
so m< 7 = 70
Which set includes all of the integers?
{1,2,3,4,5...)
{...-3.-2, -1.0, 1, 2, 3,...)
{0, 1, 2, 3, 4, 5,...)
Answers
Answer:
its {0,1,2,3,4,5......}
Step-by-step explanation:
Answer:
whoops wrong question srry
Step-by-step explanation:
what is the maximum volume of water a hamster bath could hold with a depth of 1 2/3 inches, a length of 2/13 inches and a width of 2 inches
Answers
Answer:
I'm glad you asked.
Step-by-step explanation:
The max volume would be 70/9 or 7 7/9.
Mathematics question
Answers
So the answer of question no 4 is 2
The answer of question no 5 is 5
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
Step-by-step explanation:
number 4 : x=2
number 5: x=5
I will give you brainliest if you answer pleaseee
Answers
Answer: The area of the banner is 100 in^2
Step-by-step explanation:
so let say the banner was still a rectangle with the triangle still attached to it so if we needed to find the area of the whole rectangle we will need to multiply the length times the width
so 14 * 8 = 112
But now a triangle is being cut out of the rectangle so we need to find the area of the triangle being cut out and subtract it from the area of the whole rectangle. But first we need to find the base and the base is 8 since the other side base is 8 too and the height will be 3 since 14- 11= 3
Now find the area of the triangle by multiplying the base times the height and divide it by 2.
8 * 3= 24
24/2= 12
subtract 12 from 112
112- 12 = 100
1. If you deposit $9200 into an account paying 7% annual interest
compounded quarterly, how much money will be in the account after 10 years? a
A) $20,123.85
B) $ 8,549.75
C) $18,414.70
D) $10,487.20
Answers
Answer:
C) $18,414.70
Step-by-step explanation:
[tex]A = 9,200 (1 +\frac{0.07}{4}) ^{4 x 10}[/tex]
= $18, 414.70
What is a like radical to cube root 54 after simplifying
Answers
Answer:
3√128
Step-by-step explanation:
Jaylen rents bowling shoes for $6 and pays $5 per bowling game. Is the relationship a proportional relationship? Explain
Answers
Answer:
yes
Step-by-step explanation:
the easy explanation is that the graph is straight so it means its proportional. the more detailed one is that you don't care about those 6$, cause its only says to you where the graph starts from (if you'll see it isn't from 0 there its from 6). you do care about the 5$ detail. and they say its for every game which is the definition of proportional (for every *blank amount of x* youll need *blank amount of y* ) you can see that after 1 game youll pay 5$ and then 10$ and so on....
I need help finding the area of the polygons.
Answers
Answer:
hope it helps
Step-by-step explanation:
1. area = 15*15 - 5*6 = 195
2. area = (8+16)*8 /2 - 5*3 = 96 - 15 = 81
3. area = 12*3 + 9 * (12 - 4 - 4) = 36 + 9*4 = 36+36 = 72
4. x = 6-3 = 3
y = 3- (-1) = 4
z = 7-3 = 4
area = 2*x*y/2 + y*z = 2*3*4/2 +4*4 = 12+16 = 28
Evaluate 3|-3|
if you could do it step by step I’d appreciate
Answers
Answer:
9
Step-by-step explanation:
the absolute value of -3 is 3
so; 3*|-3| =3*3 =9
Please help me with this question i am struggling
Answers
Answer:
x would be 7 units because 4 × 7 = 28 And 28 + 10 = 38
Step-by-step explanation:
What type of correlation is shown in the graph?
A) Positive
B) negative
C) no correlation
Answers
Answer:
No correlation
Step-by-step explanation:
This is because they are all spread out and aren't all consistently going up or down.
Answer:
C
Step-by-step explanation:
PLZ help I don't understand!!!!
Answers
Answer:
The answer is 24.4.
Step-by-step explanation:
You use tan to figure it out as we they have given us the opposite value and we need to find out the adjacent value. and tan tan(x) = opposite over adjacent.
x is the value we need to find
tan(16) =7÷x
xtan(16) = 7
x= 7 ÷ tan(16)
x = 24.4
Hope this helped!
√(25 - 10 √(3) + 3)
(not as a decimal)
Answers
Answer:
[tex]\huge\boxed{\sqrt{25-10\sqrt3+3}=5-\sqrt3}[/tex]
Step-by-step explanation:
[tex]\sqrt{25-10\sqrt3+3}=(*)\\\\25=5^2\\3=(\sqrt3)^2\\10\sqrt3=(2)(5)(\sqrt3)\\\\(*)=\sqrt{5^2-(2)(5)(\sqrt3)+(\sqrt3)^2}\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=\sqrt{(5-\sqrt3)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|5-\sqrt3|=5-\sqrt3\\\\^{\text{because}\ 5>\sqrt3\to5-\sqrt3>0}[/tex]
Solve the equation for x : x3=64
Answers
Answer:
x=21.3333
Step-by-step explanation:
its right
Answer:
X=4
Step-by-step explanation:
Hope I helped:)
percentage increase from 14 to 40
Answers
Answer:
185.714% increase
Step-by-step explanation:
To find the percentage increase, take the new amount and subtract the original amount
40-14 = 26
Divide by the original amount
26/14
1.857142857
Multiply by 100% to change to percent form
185.714%
Answer:
185.714%
Step-by-step explanation:
Which measurement would not be used to calculate the area of this triangle?
16 cm
12 cm
24 cm
1.
12 cm
2.
16 cm
3.
24 cm
pls someone help this is due in 10 minutes and i have a lot more to do
Answers
Answer:
Im not sure but i think 2 is the answer
Step-by-step explanation:
An aircraft carrier left Port 35 traveling north five hours before a container ship. The container ship traveled in the opposite direction going 8 km/h faster than the aircraft carrier for seven hours after which time the ships were 303 km apart. What was the aircraft carrier's speed ?
Answers
Answer:
Aircraft carrier speed = 4.97 km/h
Step-by-step explanation:
Given that the time taken by the aircraft = 5 hours
Let the distance covered = X
Speed = V
Time taken by the ship = 7 hours
Let the distance covered = Y
Speed = 8V
Since it is 8 km/h faster than the aircraft carrier.
Using the speed formula
Speed = distance/time
Distance = speed × time
For the aircraft;
X = 5V
For the ship:
Y = 7 × 8V = 56V
Since they are 303km distance apart,
X + Y = 303
5V + 56V = 303
61V = 303
V = 303/61
V = 4.97 km/h
Aircraft carrier speed = 4.97 km/h
Robert wants to put lights around the edge of his deck.the deck is 46 feet long and 29feet wide .how many yards of lights does he needs.
Answers
Answer:
1334feet
Step-by-step explanation:
46x29
Heyguys can soeom plzz help meee?? IDK how to do this!! 20 Points? plz write all details of the problem plzz!
Math problem: An airplane traveled 5.7 x 102 miles per hour for 1.4 x 101 hours. How far did the airplane travel?
Answers
Answer:
The distance travelled is 7.98×10³ miles.
Step-by-step explanation:
Given that the formula to find distance is Distance = Speed×Time. Then you have substitute the values into the formula :
[tex]distance = speed \times time[/tex]
Let speed = 5.7×10²,
Let time = 1.4×10¹,
[tex]d = (5.7 \times {10}^{2} ) \times (1.4 \times 10)[/tex]
[tex]d = (5.7 \times 1.4) \times ( {10}^{2} \times 10)[/tex]
[tex]d = 7.98 \times {10}^{3} miles[/tex]
A single candy is picked
randomly from a bag
containing 5 red, 4 Green, and
3 blue. Give the probability of
picking a candy that is not blue.
Answers
Answer:
9/12 or 3/4 (it's the same)
Step-by-step explanation:
You have to guve the probabiloty of picking a candy that is not blue, so you have to do:
5 red + 4 green = 9
total = 5 + 4 + 3 = 12
9/12 is equal to 3/4
Step-by-step explanation: the answer is3/12
it is 3/12 because if you add 5+4+3 you will get 12 so out of that 12 which are blue which is 3 so it would be three
if it is wrong sorry but if it right hope its was correct :)