Question 1 (1 point)
(05.06)
Which of the following points lie in the solution set to the following system of inequalities? (1 point)
y < −3x + 3
y < x + 2
a
(1, −5)
b
(1, 5)
c
(5, 1)
d
(−1, 5)
HELP PLEASE
Answer:
The points that lie in the solution set of following system of inequalities are:
Option A (1,-5) and Option C (5,1)
Step-by-step explanation:
We need to find the points that lie in the solution set to the following system of inequalities
[tex]y<-3x+3\\y<x+2[/tex]
We will check each option to identify if they satisfy the given set of inequalities or net.
Option A (1,-5)
We have x=1, y=-5
Putting values and checking
[tex]\\y<-3x+3\\-5<-3(1)+3\\-5<0 \ (true)\\y<x+2\\-5<1+2\\-5<3 \ (true)[/tex]
So, Option A is correct as both values satisfy the given set of equations
Option B (1,5)
We have x=1, y=5
Putting values and checking
[tex]y<-3x+3\\5<-3(1)+3\\5<0 \ (false)\\y<x+2\\5<1+2\\5<3 \ (false)[/tex]
So, Option B is not correct as both values doesn't satisfy the given set of equations
Option C (5,1)
We have x=5, y=1
Putting values and checking
[tex]y<-3x+3\\1<-3(5)+3\\1<-15+3\\1<12 \ (true)\\y<x+2\\1<5+2\\1<7 \ (true)[/tex]
So, Option C is correct as both values satisfy the given set of equations
Option D (-1,5)
We have x=-1, y=5
putting values and checking
[tex]y<-3x+3\\5<-3(-1)+2\\5<3+2\\5<5 \ (false)\\y<x+2\\5<-1+2\\5<-1 \ (false)[/tex]
So, Option D is not correct as both values doesn't satisfy the given set of equations
The points that lie in the solution set of following system of inequalities are:
Option A (1,-5) and Option C (5,1)
A tour guide climbs a mountain. When he reaches the top he is 356 ft above sea level. Therewhile, a deep sea diver descends to a depth of -24 ft. What is the vertical distance between the two people?
Answer:
b
Step-by-step explanation:
Which expression has a negative value?
O 2+ 12
O (-3)(-8)
O 10-(-18)
0-35-5
Answer:
-35-5 has a negative value
Step-by-step explanation:
-35 - 5 = -40
If this helps can I get brainliest? Thanks
Simplify (5(2x^2 y^3 )^2)/(2x^3 y^4 )^3 PLease show work
Answer:
5*4 x^4 y^6 /8 x^9 y^12
20 /8 x^5 y^6
5/2 x^5 y^6
Step-by-step explanation:
Um técnico em eletricidade recebeu um molho que continha 12 chaves não identificadas pra abrir a porta de um quarto de hotel e efetuar os reparos necessários na rede elétrica.qual a probabilidade de ele acertar na primeira tentativa
Answer:
Step-by-step explanation:
Dado que:
Um técnico em eletricidade recebeu um pacote que continha 12 chaves não identificadas, a probabilidade de que ele acertasse na primeira vez será:
= número de ensaios / número total de ensaios disponíveis
O técnico eletricista tem apenas uma tentativa
uma vez que existem 12 chaves não identificadas, o número total de testes disponíveis 12
∴
= 1/12
= 0.0833
= 0.0833 × 100
= 8.33%
What is the equation of the line that passes through the point (5, 4) and has a slope
of 4/5
Answer:
Every point on a horizontal line has the same y-value. Use the y-value of the point to find the equation of the horizontal line.
y=4
Which numbers are solutions of h2+4=8h−3?
A. 1
B. 3
C. 5
D. 7
it asks which 2 are correct, please help.
Not sure but I think its b and d
what is true about the solution to the system of inequalities shown? y < 1/3x -1
y<1/3x-3
Answer:
Step-by-step explanation:
All values that satisfy y ≤ (1/3)x - 3 are solution
What are the steps in order to correctly solve the equation
4x1/3 + 9 = 25
and what is the correct answer?
Answer:
X=12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
x=12
Step-by-step explanation:
step one is multiplying rest is in pic mark as brainliest
Plz help me plz I need answer and explanation plz
plz answer me the due date within 10 minute plz answer me
9514 1404 393
Answer:
A = {put, the, cake, in, basket}
B = {is, the, cake, in, basket}
C = {no, the, cake, in, basket}
D = { }
Step-by-step explanation:
A = (A -B) ∪ (A∩B) ∪ (A∩C}
A = {put} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}
A = {put, the, cake, in, basket}
__
B = (B -A) ∪ (B -C) ∪ (B∩A) ∪ (B∩C)
B = {is} ∪ {is} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}
B = {is, the, cake, in, basket}
__
C = (C -B) ∪ (C∩A) ∪ (C∩B)
C = {no} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}
C = {no, the, cake, in, basket}
__
D = { } . . . . not defined anywhere
(-8,7), m=5
Y-7=5(x+8)
Answer:
The line of the equation is:
[tex]y-7=5\left(x+8\right)[/tex]
Step-by-step explanation:
Given
m=5point (-8, 7)As the point-slope form is given by
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
substituting the values m=5 and the point (-8, 7)
[tex]y-7=5\left(x-\left(-8\right)\right)[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]y-7=5\left(x+8\right)[/tex]
Therefore, the line of the equation is:
[tex]y-7=5\left(x+8\right)[/tex]
SI-
Class:
28
Graphing Review #2 (8)
Name: GO
1. The following database shows ice cream sales based on daily high temperatures.
Ice Cream Sales vs Temperature
Temperature C Ice Cream Sales
$215
14.2
16.40
$325
11.99
$185
15.2
600
$332
18.5°
$406
.
22.10
$522
$500
19.40
$412
25.1
3400
$614
15300
a) Construct a scatter plot
to compare the total sales
to the daily high temperature,
b) What type of correlation is $200
shown by the data?
100
c) Draw a line of best fit.
d) Predict what the total sales would
se if the temperature was 17°C ?
10
Ve6
Temperature
Answer:
Step-by-step explanation:
SI-
Class:
28
Graphing Review #2 (8)
Name: GO
1. The following database shows ice cream sales based on daily high temperatures.
Ice Cream Sales vs Temperature
Temperature C Ice Cream Sales
$215
14.2
16.40
$325
11.99
$185
15.2
600
$332
18.5°
$406
.
22.10
$522
$500
19.40
$412
25.1
3400
$614
15300
a) Construct a scatter plot
to compare the total sales
to the daily high temperature,
b) What type of correlation is $200
shown by the data?
100
c) Draw a line of best fit.
d) Predict what the total sales would
se if the temperature was 17°C ?
10
Ve6
Temperature
You can buy 2 songs on I-Tunes for $ 2.58, or 3 songs for $ 3.87. Write an equation to show the relationship between the number of songs, s, and the total cost, c.
Answer:
for the first pack, 1 Itune song would be 1.29 and for the other pack, for one Itune song would be 1.29 also, the relationship between these problem is that they are the same price for 1 song. The total cost for 1 is $1.29 hope this helps, have a great day! ツ
Step-by-step explanation:
What is the purpose of having a Institutional Review Boards?
Answer:
This group review serves an important role in the protection of the rights and welfare of human research subjects. The purpose of IRB review is to assure, both in advance and by periodic review, that appropriate steps are taken to protect the rights and welfare of humans participating as subjects in the research
Find the inverse:
y = -3x +5
Answer:
Step-by-step explanation:
x=-3y+5
x-5 = -3y
y = -(x-5)/3
It is estimated that there are 828 motor vehicles in the US it is estimated that there are 828 Motor vehicles in the US for every 1,000 people. If the number of
motor vehicles in the US is 260 million, then what is its population to the nearest million?
A) 215 million B) 314 million C) 315 million D) 475 million PLZ HELP I NEED THIS QUESTION ANSWERED QUICKLY!!!!
Answer:
314 million
Step-by-step explanation:
Given that :
Number of motor vehicle in the U.S for every 1000 people = 828
If the number of motor vehicle in the United States = 260 million
Then,
Let x = number of people Given number of vehicles = 260,000,000
1000 people = 828 vehicles
x = 260,000,000
828x = (260,000,000 * 1000)
828x = 260,000,000,000
x = 314009661. 835
x = 314 million (approx)
Consecutive interior angles are
Answer:
When two lines are crossed by another line (called the Transversal): The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
Answer:
When two lines are crossed by another line (called the Transversal): The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
Step-by-step explanation:
Naomi has earned $81 mowing lawns the past two days. She worked 2 1/2 hours yesterday and 4 1/4 hours today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?
Answer:
Twelve dollars per hour
Step-by-step explanation:
Add 2 1/2 and 4 1/4 together to get 6 3/4. Put it into decimal form (6.75), and divide. 81 ÷ 6.75 = 12.
Geometry problem plz help?
Step-by-step explanation:
let eqn be y = mx + b.
m = (9 - 1)/(2 - 4) = -4
sub (4, 1):
1 = -4(4) + b
b = 17
therefore, it's y = -4x + 17
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Can you help me with this? 3
Answer:
acute
Step-by-step explanation:
please help I'm actually crying! Find A and B if the graph of Ax + By = 7 passes through (2,1) and is parallel to the graph of 2x - 7y = 3.
Look at the Pictures:
Which equation represents the line that is parallel to 5x+y=13 and passes through the point (15,-31)?
Answer:
thx for 10 points tho
Step-by-step explanation:
Find an exact value. Cos 75° negative square root of six plus square root of two quantity square root of six minus square root of two divided by four quantity negative square root of six plus square root of two divided by four square root of six minus square root of two
Answer:
√2(√3 - 1)/4
Step-by-step explanation:
To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).
Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,
Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°
Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.
Substituting these values into the above equation, we have
Cos75° = Cos(45° + 30°)
= Cos45°Cos30° - Sin45°Sin30°
= √2/2 × √3/2 - √2/2 × 1/2
= √6/4 -√2/4
= √2(√3 - 1)/4
A science beaker was left under a dripping water faucet. In 3 days, the beaker filled to 2¼ mL. If the water dripped the same amount every day, how many mL dripped from the faucet each day?
Answer:
Answer: 6 3/4
Step-by-step explanation:
You have to mulitply 2 x 4 + 1 = 9 and 4 is going to be the denomiator and how much can 3 can go into 9 only 3 times and that going to be on top of the denomiator and 2 x 3 = 6
Is -9.25 greater than 6 1/2
Answer:
No sir
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Negatives are always less than positives.
Look at it on a number line:
Hope this helped!
Use the provided information to write the standard form equation of the parabola.
Opens up or down, and passes through (8,0), (13,-5), and (12,0)
Answer:
f(x) = -x² + 20x - 96Step-by-step explanation:
Parabola f(x) = ax² + bx + c passing through points (8,0) and (12,0) means that 8 and 12 are its root and (x-8) and (x-12) are its factors
So we get:
f(x) = a(x - 8)(x - 12)
The parabola passes through point (13, -5) that means if x=13 then f(x)=-5
So:
-5 = a(13 - 8)(13 - 12)
-5 = a(5)(1)
-5 = 5a
a = -1 {<0 so parabola opens down}
Therefore:
f(x) = -(x - 8)(x - 12)
And expanding:
f(x) = -(x² - 12x - 8x + 96)
So the standard form equation of the parabola:
f(x) = -x² + 20x - 96
A function has the function rule y = x - 7. If the input is 4, what is the output?
A. 3
B. -3
C. 11
D. -11
Answer:
The awnser is B. -3
Step-by-step explanation:
4-7=-3
x-7= y
Express the number 3,440,000 in Scientific Notation.
Answer:
3.44 * 10^6
Step-by-step explanation:
3,440,000
3.44 * 10^6
Answer: It would be 3.44 × 10^6.
Find all the missing elements. NEED HELP PLZZZZ
Answer:
B=42°C=98°c=10.7 unitsStep-by-step explanation:
Given
Angle A = Ф = 40°a=8b=7We know that trigonometric ratio as
sin Ф = opposite/hypotenusecos Ф = adjacent/hypotenusetan Ф = opposite/adjacentas
sin A = sin 40 = opposite/hypotenuse
From the diagram, it is clear that the opposite of angle A is a=8 and the hypotenuse is 'c'.
also the angle
sin A = sin 40 = opposite/hypotenuse = a/c = 8/c
sin 40 = 8/c
c = 8/sin 40
c = 8/0.745
c = 10.7
so the value of c will be: 10.7 units
so
tan B = opposite/adjacent
= b/a
= 0.9
[tex]B=\tan ^{-1}\left(0.9\right)[/tex]
[tex]=42^{\circ \:}[/tex]
Therefore, the value of B = [tex]42^{\circ \:}[/tex]
As the sum of the angles of triangle ABC is 180.
i.e.
A+B+C = 180
(40)° + (42)° + C = 180°
C = 180° - 40° - 42°
= 98°
Therefore, the value of C = 98°
Hence,
B=42°C=98°c=10.7 unitsA large cooler full of water is being drained. The relationship between the amount of water in the cooler in liters and the number of minutes the cooler is draining is shown
the provided graph. What is the meaning of the intercept in this situation?
Answer:
The cooler is empty after 15 minutes.
Step-by-step explanation: