Answer:
The equation of the linear relationship is y = 3x + 2 ⇒ B
Step-by-step explanation:
To solve the question substitute the x in the equation by the x-coordinate of each point to find y, if y equals the y-coordinate of the point, then the point is on the graph of the equation
A.
∵ y = 2x + 3
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 2(0) + 3
∴ y = 0 + 3 = 3
∵ The y-coordinate is 2
∴ The point (0, 2) does not lie on the graph of the relationship
∴ The equation y = 2x + 3 doesn't represent the equation of the relationship
B.
∵ y = 3x + 2
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 3(0) + 2
∴ y = 0 + 2 = 2
∵ The y-coordinate is 2
∴ The point (0, 2) lies on the graph of the relationship
→ Use the second point (1, 5)
∵ x = 1
→ Substitute x by 1 in the equation
∴ y = 3(1) + 2
∴ y = 3 + 2 = 5
∵ The y-coordinate is 5
∴ The point (1, 5) lies on the graph of the relationship
→ Use the third point (3, 11)
∵ x = 3
→ Substitute x by 3 in the equation
∴ y = 3(3) + 2
∴ y = 9 + 2 = 11
∵ The y-coordinate is 11
∴ The point (3, 11) lies on the graph of the relationship
→ Use the fourth point (2, 7)
∵ x = 2
→ Substitute x by 2 in the equation
∴ y = 3(2) + 2
∴ y = 6 + 2 = 8
∵ The y-coordinate is 7
∴ The point (2, 7) doesn't lie on the graph of the relationship
∴ The equation of the linear relationship is y = 3x + 2
Write a linear function in which the slope is less than the y-intercept. (There are many correct answers)
Answer:
An exceptional answer to the question provided would be, y = 6x + 2
if it cost $3.75 for 5 tickets how much does it cost for 1
Answer:
0.75
Step-by-step explanation:
your welcome
Suppose that among the 6,000 students at a high school, 1,500 are taking honors courses and 1,800 prefer watching basketball to watching football. If 450 students are both taking honors courses and prefer basketball to football, are the events "taking honors courses" and "preferring basketball" independent? No, because StartFraction 1500 Over 6000 EndFraction not-equals StartFraction 1800 Over 6000 EndFraction Yes, because StartFraction 450 Over 1500 EndFraction not-equals StartFraction 450 Over 1800 EndFraction No, because (1,500)(1,800) ≠ 450. Yes, because (StartFraction 1500 Over 6000 EndFraction) (StartFraction 1800 Over 6000 EndFraction) = StartFraction 450 Over 6000 EndFraction.
Given:
Total students = 6,000
Students taking honors courses = 1,500
Students preferring basketball = 1,800
Students in both = 450
To find:
Whether the two events "taking honors courses" and "preferring basketball" are independent or not?
Solution:
Let as consider the following events.
A : Taking honors courses
B : Preferring basketball
[tex]A\cap B[/tex] : Both
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Using this formula, we get
[tex]P(A)=\dfrac{1500}{6000}=0.25[/tex]
[tex]P(B)=\dfrac{1800}{6000}=0.30[/tex]
[tex]P(A\cap B)=\dfrac{450}{6000}=0.075[/tex]
Two evens are independent if
[tex]P(E_1\cap E_2)P(E_1)\cdot P(E_2)[/tex]
Now,
[tex]P(A)\cdot P(B)=0.25\times 0.30[/tex]
[tex]P(A)\cdot P(B)=0.075[/tex]
[tex]P(A)\cdot P(B)=P(A\cap B)[/tex]
So, the events A and B are intendent because
[tex](\dfrac{1500}{6000})(\dfrac{1800}{6000})=\dfrac{450}{6000}[/tex]
Therefore, the correct option is D.
A circle with center (-1, 2) and radius of 8 has the equation:
PLEASE HELP AND EXPLAIN YOUR ANSWER
I'LL GIVE BRAINLIEST
What is the value of the expression below when x=8 and y=3? 8x-9y
Answer:
8(8)-9(3)
64-27= 37
Step-by-step explanation:
PLZ HELP FAST :(
Expression A: 3(x+2)
Expression B: 3x+6
Which statement does not show that these expressions are equivalent?
A. Substituting any value of x makes the expression equivalent.
B. 3(x+2) can be rewritten as 3x+6 using the distributive property.
C. The expressions name the same number regardless of the value of x.
D. Both expressions inolve addition
Answer:
i would say it was either A or C
Answer:
B. 3(x+2) can be rewritten as 3x+6 using the distributive property.
Step-by-step explanation:
When you distribute 3 into x and 2 you get the equation 3x+6 (3x and 3(2)) which makes the expressions equivalent.
Find the slope and
y-intercept of the following then write it in slope intercept form.
slope is 4,
y-intercept is -6
Thank you!
Mrs. Pregnals's biology classes are going on a field trip. She has them break into groups of three or four
students in order to do labs. She has a total of 120 students and 32 total groups are formed.
If i represents the number of three person groups and represents the number of four person groups, then
write a system of equations that models this situation.
Answer:
x + y = 32 (1)
3x + 4y = 120 (2)
x = 8; y = 24
Step-by-step explanation:
Total students = 120
Number of groups = 32
If the number of three person groups = x
Number of four person groups = y
write a system of equations that models this situation
x + y = 32 (1)
3x + 4y = 120 (2)
From (1)
x = 32 - y
Substitute x = 32 - y into (2)
3(32 - y) + 4y = 120
96 - 3y + 4y = 120
- 3y + 4y = 120 - 96
y = 24
Substitute y = 24 into (1)
x + y = 32
x + 24 = 32
x = 32 - 24
x = 8
x = 8; y = 24
NEED HELP QUICKLY! WILL OFFER BRAINIEST!!
Can someone plz help me?
Answer:
14.8
Step-by-step explanation:
The selling price of an item is $720. It is marked down by 30%, but this sale price is still marked up from the cost of $420. Find the markup from cost to sale price.
Answer:
$84
Step-by-step explanation:
720x30=21600
21600/100=216
216=markdown (as a number instead of a percentage)
Now subtract that like this
720-216=504
504= sale price
Then do this
504-420=84
Therefore it is $84
Hope you understand!
HELPPPPP PLEASEEEEE!!!
Answer:
The height of right circular cone is h = 15.416 cm
Step-by-step explanation:
The formula used to calculate lateral surface area of right circular cone is: [tex]s=\pi r\sqrt{r^2+h^2}[/tex]
where r is radius and h is height.
We are given:
Lateral surface area s = 236.64 cm²
Radius r = 4.75 cm
We need to find height of right circular cone.
Putting values in the formula and finding height:
[tex]s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416[/tex]
So, the height of right circular cone is h = 15.416 cm
Write and solve the equation modeled below.
A line has the equation y = -1/2 + 3. A second line is parallel to the first. What is the slope of the parallel line?
Answer:
m = -1/2
Step-by-step explanation:
parallel lines always have the same slope
Juan Carlos tiene 450 teléfonos móviles cada uno cuesta 30$y vienen 2 personas las 2 personas compran 3 teléfonos ¿cuantos dolares pagaron las 2personas?
Answer:
$90
Step-by-step explanation:
Given that:
Number of mobile phones = 450
Cost per mobile phone = $30
Number of mobile phones purchased = 3
The total cost of 3 mobile phones = amount paid remaining :
(Cost per mobile phone * number of mobile phones purchased)
= $30 * 3
= $90
Help me out please! Explain the difference between equilateral and equiangular :)
Answer:
Regular Polygons
Polygons can also be classified as equilateral, equiangular, or both. Equilateral polygons have congruent sides, like a rhombus. Equiangular polygons have congruent interior angles, like a rectangle. When a polygon is both equilateral and equiangular, it is called a regular polygon.
Answer:
Equilateral = all sides are the same length
Equiangular = all angles are the same length
Step-by-step explanation:
Help me with this please
Answer:
15 cans or D
Step-by-step explanation:
so it’s a pattern every 5 days add 3 cans
so Now do a table
5 = 3
10 = 6
15 = 9
20 = 12
25 = 15
Answer:
15 cans
D
Step-by-step explanation:
Set up a proportion.
3 cans / 5 days = x cans / 25 days
Note: both sides contain the same units on top and the same units on the bottom of each fraction.
3/5 = x / 25 Cross multiply
5x = 3*25
5x = 75
x = 75 / 5
x = 15
15.
enuse AC
Find the
In the accompanying diagram of right triangle RST,
altitude TP is drawn to hypotenuse RS. If TP = 6
and RP is 5 less than PS, find the length of
hypotenuse RS. [Only an algebraic solution will
be accepted.]
Someone help me please
Answer:
13
Step-by-step explanation:
Let PS = x and RP = x-5
Using Pythagorean theorem on the two smaller rt triangles formed,
6^2 + x^2 = (ST)^2
6^2 + (x-5)^2 = (RT)^2
Now use Pythag on big triangle and sub in above values:
(2x-5)^2 = 6^2 + x^2 + 6^2 + (x-5)^2
Multiply out and simplify to
x^2 - 5x -36 = 0
Factor the quadratic: ((x-9)(x+4)=0 Therefore x=9 or x=-4. We may disregard the negative answer so x = 9. So PS is 9 and RP is 4.
Therefore entire hypotenuse is 4 + 9 or 13.
The prices of different types of nuts are shown in the table.
Type of Nut Price per Pound
Almonds $9.15
Cashews $10.75
Peanuts $3.95
Mila buys 1.4 pounds of almonds, 0.8 pound of cashews, and 2.6 pounds of peanuts.
How much does Mila spend in all?
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
8.314, 8.356, 8.475, 8.36, 8.43, 8.5
LESSER GREATER
ASAP PLS
Answer:
8.314, 8.356, 8.36, 8.43, 8.475, 8.5
^ This is the numbers from least to greatest, 8.314 being the least and 8.5 being the greatest.
Step-by-step explanation:
First, start off with the lowest number. You will see that each number starts with 8, so we go to the next number. You will now see three numbers having the number 3 in the second place. Now, we go to the next digit after that.
1 is less than 5 and 6, and 5 is less than 6.
This means that the 1 will go first, followed by the 5, then the 6.
Now we see that there are two numbers with a 4 in the second decimal place. The next number after that will now determine where it goes.
3 is less than 7, so that means 3 will come before 7.
The digit 5 is the greatest, so it will be at the end of the list.
#teamtrees #WAP (Water And Plant)
12 m
9 m
What is the length of the hypotenuse?
C =
meters
Step-by-step explanation:
AC^2=AB^2+BC^2
c^2=9^2+12^2
c^2=81+144
c^2=225
c=15
A bird traveled a horizontal distance of 300 ft, over a distance that
rose 150 ft. What is the angle of elevation that the bird made with the
ground (round to the nearest tenth)?
9514 1404 393
Answer:
26.6°
Step-by-step explanation:
The tangent of the elevation angle is the ratio of rise to run:
tan(angle) = 150 ft/(300 ft) = 1/2
Then the angle is the arctangent of this value:
angle = arctan(1/2) ≈ 26.6°
A 30-60-90 triangle has a hypotenuse that has a length of 18. Find it’s area
Answer:
4824
Step-by-step explanation:
What is the additive inverse of the number 1.6?
≈A. -1.6
≈B. 0
≈C. 1
≈D. 6.1
Answer:
The additive inverse is -1.6
Answer:
-1.6
Step-by-step explanation:
only doing this so the this so the other person can get brainlyest
Have a great day
PLEASE I NEED HELP!!!
The Waterfords rented a truck for a $52.95 fee plus $.35/mi. They spent $33.75 to fill the tank with gasoline before returning the truck. If the Waterfords spent $140.95, including gasoline, to rent the truck, how many miles was the truck driven?
Answer:
155 miles
Step-by-step explanation:
52.95 + 33.75 = 86.7
140.95 - 86.7 = 54.25
54.25 / .35 = 155
155 miles
0.5 is equivalent to what rational number?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
PLEASE HELP MEE I REALLY NEED HELP NOT TRYING TO BE ANNOYING BUT I NEED HELPP!!! Find the vertex of the graph of the quadratic function and determine whether it's an absolute maximum or an absolute minimum: y = x squared + 18x + 83.
options
A)
Vertex: (9,– 2); minimum
B)
Vertex: (9,–2); maximum
C)
Vertex: (–9,2); minimum
D)
Vertex: (–9,2); maximum
Answer:
try math wa y
Step-by-step explanation:
it will give u the answer to most questions the answer is c
50% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $63?
Answer:
$94.50
Step-by-step explanation:
50%=.50
.50x63=31.50
31.50+63=94.50
Can somebody plz help answer these three word questions correctly thanks a lot >33
WILL MARK BRAINLIEST WHEOEVER ANSWERS FIRST :DDD
Answer:
a) The percent of their games the hockey team won is 60%
b) The percent of their games the hockey team lost is 37% to the nearest percent
c) The percent of their games the hockey team tied is 3% to the nearest percent
Step-by-step explanation:
In any game, there are 3 situations
WinTie LoseThe sum of the three situations is the total number of playing that game
∵ The hockey team won 72 out of 120 games and tied 4
∴ The number of winning games = 72
∴ The number of tying games = 4
∴ The number of total games = 120
→ Find the number of losing games
∵ Win + ty + lose = total games
∴ 72 + 4 + lose = 120
∴ 76 + lose = 120
→ Subtract 76 from both sides
∴ lose = 44
∴ The number of losing games = 44
Now let answer the questions
a)
∵ P%(win) = (winning ÷ total) × 100%
∴ P%(win) = (72 ÷ 120) × 100%
∴ P%(win) = 60%
The percent of their games the hockey team won is 60%
b)
∵ P%(lose) = (losing ÷ total) × 100%
∴ P%(lose) = (44 ÷ 120) × 100%
∴ P%(lose) = 36.66667% = 37% to the nearest percent
The percent of their games the hockey team lost is 37% to the nearest percent
c)
∵ P%(tie) = (tying ÷ total) × 100%
∴ P%(tie) = (4 ÷ 120) × 100%
∴ P%(tie) = 3.333333% = 3% to the nearest percent
The percent of their games the hockey team tied is 3% to the nearest percent
I need help please help me
Answer:
y=-1/2+3
Step-by-step explanation:
I am so sorry. Before I accidentally flipped the 1 and the 2
