Answer:
-3
Step-by-step explanation:
Finding the Equation of a Line Given Two Points:
Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the
equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-
intercept. So, how do you find the equation of a line? There are several different ways that you can find
the equation of a line. I find the equation of a line everytime by following the same three steps:
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept.
Step 3: Use steps 1 and 2 to write the answer.
I will explain these steps by looking a several examples. Please understand that there are often several
different ways to complete each math problem, but I have found through the years that students are most
successful when the do problems the same way each and every time they attempt the problem. If you
know a different way to find the answer that is great, but I am going to show how to do the problem one
way and use the same technique everytime I see this problem.
Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).
Step 1: Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope
formula:
( )
( )
So the slope of the slope of the line passing through these two points is 3.
Step 2: Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and
we get:
y = 3x + b
Next choose one of the two point to plug in for the values of x and y. It does not matter
which one of the two points you choose because you should get the same answer in either
case. I generally just choose the first point listed so I don’t have to worry about which
one I should choose.
(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.
–2 = –3 + b Solve for b and you will have the y-intercept. b=1
Step 3: Write the answer.
Using the slope of 3 and the y-intercept of 1, the answer is:
y = 3x + 1
help me quys plz, which one is it
what's 1 + 1 they HARDEST question
Answer:
21
Step-by-step explanation:
Answer:
its 32
Step-by-step explanation:
no im jk its 81
If you ride your bicycle at 22 miles per hour, how many miles could
you travel from 7:00 a.m. to 9:30 a.m. if you do not take a break?
Answer:
About 4-5 miles at the most i rode a bike before to a store and it took me an hour to go there and get back so.... Ya i would say about 4-5 miles
Step-by-step explanation:
Because 22mph is pretty slow. And i was going faster then 22mph when i was on my bike.
Answer:
55 miles
Step-by-step explanation:
Subtract 9:30 & 7:00, it will give you 2.3...meaning 2.5 hours. If you are traveling 22 miles an hour for 2 hours & 30 minutes you will get 55 miles total. 22 + 22 + 11 = 55.
The equation for the pH of a substance is pH = -log[H'], where H+ is the concentration of hydrogen ions. A basic
solution has a pH of 11.2. An acidic solution has a pH of 2.4. What is the approximate difference in the concentration
of hydrogen ions between the two solutions?
Answer:
it's b.
Step-by-step explanation:
Answer:
B. 4.0 x 10^-3
Step-by-step explanation:
Correct answer on edge 2022.
The difference of 10x and 3x is less than or equal to the sum of 4x and 21.
Answer:
«means less than or equal to
x«7
Step-by-step explanation:
10x-3x«4x+21
7x«4x+21
7x-4x«21
3x«21
divide both sides by 3
x«21/3
3 will divide 21, 7times
x«7
4x + 9 = 2x + 15 .. I need help
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
4x + 9 = 2x + 15
Step 2: Solve for x
Subtract 2x on both sides: 2x + 9 = 15Subtract 9 on both sides: 2x = 6Divide 2 on both sides: x = 3Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4(3) + 9 = 2(3) + 15Multiply: 12 + 9 = 6 + 15Add: 21 = 21Here we see that 21 does indeed equal 21.
∴ x = 3 is the solution to the equation.
Pleaseeeee answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
a2+b2=c2
gimme that brainly
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
SAS
Step-by-step explanation:
I need help on this question
Answer:
Step-by-step explanation:
nth term = 3n+2
a) first term = 3+2 = 5
Second term = 3(2)+2 = 8
Third term = 3(3) +2 = 11
b) tenth term = 3(10)+2 = 32
El administrador de una cafetería sabe que vende diariamente 50 litros de jugo mixto. Para elaborar este jugo se emplean dos preparados: uno de jugo de naranja, que contiene un 5% de jugo natural y otro preparado de jugo de toronja, que contiene 25% de jugo natural. Si se desea que el jugo mixto contenga un 10% de jugo natural ¿Cuántos litros de cada preparado se deben emplear?
Answer:
Se necesitan 37.5 litros del preparado que contiene 5% de jugo natural, y 12.5 litros del que contiene 25%.
Step-by-step explanation:
Primero calculamos la cantidad total de jugo natural que se necesita, a partir del volumen de jugo mixto que se quiere vender:
50 L * 10/100 = 5 LAhora, que X sean los litros del preparado con jugo de 5%, y que Y sean los litros del preparado con jugo de 25%:
La suma de ambos preparados tiene que ser 50 L:
1. x + y = 50
La suma del jugo natural tiene que ser 5:
2. x*5/100 + y*25/100 = 5
Por lo que tenemos un sistema de dos ecuaciones y dos incognitas.
Expresamos x en términos de y:
x + y = 50x = 50 - yReemplazamos x en la segunda ecuación:
(50-y)*5/100 + y*25/100 = 5Y despejamos y:
2.5 - 0.05y + 0.25y = 50.20y = 2.5y = 12.5Usando ese valor de y, calculamos x:
x + 12.5 = 50x = 37.5Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground again?
Step-by-step explanation:
h = 64t - 16t².
When the ball reaches the ground, h = 0.
Therefore 64t - 16t² = 0, 16t(4 - t) = 0, t = 0 or t = 4.
Therefore the ball reaches the ground 'again' at t = 4.
The probability of event A occurring is 0.65. The probability of events A and B occurring together is 0.33. Events A and B are independent. What is the probability of event B?
Answer:
1-0.65 = 0.35 I think the probability of B is 0.35
Step-by-step explanation:
Answer: Approximately 0.51
======================================================
Explanation:
If events A and B are independent, then P(A and B) = P(A)*P(B) is a true equation.
We're given the following
P(A) = 0.65P(A and B) = 0.33So,
P(A and B) = P(A)*P(B)
0.33 = 0.65*P(B)
P(B) = 0.33/0.65
P(B) = 0.5076923076923
which is approximate. When we round to 2 decimal places, we get 0.51
Mr. Greene is trying to decide which charter bus
company to use for the 8th grade Outer Banks trip.
Holiday Tours charges a down payment of $300 and $3
per mile. Diamond Tours charges a $500 down payment
and $1 per mile. Write and solve an equation to find the
number of miles when the cost of both companies will be
the same.
Answer: 100 miles
Step-by-step explanation:
300+3x=500+1x
subtract 1 from both sides
300+2x=500
subtract 300 from both sides
2x=200
divide 2
x=100
PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS
Answer:
f(-2) = 2
Step-by-step explanation:
Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.
So basically it wants the y-value :)
Answer:
1.25
Step-by-step explanation:
the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line
Yo can I get some help with this ?
Answer:
Y= 60 degrees.
Step-by-step explanation:
A traingle's three angles always equals 180 degrees. since the singular line on the triangle on the right mean the side are equal, the angles are also equal. 180 divided by 3 equals 60 degrees.
What is the area of a rectangle with the length of 15.2 inches and a width of 5.05 in. SHOW YOUR WORK and line them up
Final Answer: [tex]A[/tex] = [tex]76.76[/tex] [tex]in^2[/tex]
Steps/Reasons/Explanation:
We will be trying to find the area of the rectangle. The formula tells us to multiply width times length. This means that we will multiply our length of 15.2 inches by a width of 5.05 inches to find the area of a rectangle.
The final answer would include [tex]in^2[/tex] because we are multiplying both inches of the length and width to find the area.
Question: What is the area of a rectangle with the length of 15.2 inches and a width of 5.05 in?
Rectangle Area Formula: [tex]Area[/tex] = [tex]width[/tex] × [tex]length[/tex]
[tex]A[/tex] = [tex]15.2[/tex] inches × [tex]5.05[/tex] inches
[tex]A[/tex] = [tex]76.76[/tex] [tex]in^2[/tex]
~I hope I helped you :)~
To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $174.45. The cost for 8 tickets is $271.95. Write and solve a linear equation to find the total cost to order 12 tickets.
Answer:
401.951
Step-by-step explanation:
Answer:
$401.951
Step-by-step explanation:
Which fraction is equivalent to 0.6?
Three-tenths
One-third
Three-fifths
Two-thirds
Answer:
C. three- fifths
Step-by-step explanation:
Because if you multply 3/5 by 2 you get 6/10 Which is .6
I hope this helps!!!!
Simon is selling candy bars for his class fundraiser. In each box of 56 candy bars, 18 are
peanut, and the rest are dark chocolate. Each dark chocolate candy bar costs $2.25.
If Simon raises a total of $117, selling a whole box, how much does each peanut candy bar
cost?
O $4.00
O $4.25
$2.00
$1.75
Nort
Answer:
it will be 1.75$
Step-by-step explanation:
56-18
38x2.25
117$ - 85.5$
31.5 / 18
9. Find the point of intersection of the lines: y = 4x + 1 and y = - 2x + 4 A. (2,9) B.(1/2,3) C. (1,2) D. (1/4,2)
Step-by-step explanation:
y = 4x + 1 and y = -2x + 4
4x + 1 = -2x + 4, 6x = 3, x = 0.5
When x = 0.5, y = 4(0.5) + 1 = 3.
The point of intersection is (0.5, 3). (B)
Step-by-step explanation:
y = 4x + 1
A.(2,9)
y = 4(2) + 1 = 9
y = 9.
y = 4x + 1
9 = 4x + 1
9 - 1 = 4x
8 = 4x => x = 8÷4 = 2
x = 2.
y = -2x + 4.
A.(2,9)
y = -2(2) + 4 = 0
y = 0.
y = - 2x + 4
0 = -2x + 4
0 - 4 = 2x
0 = 2x => x = 0 ÷ 2 = 0
x = 0.
y = 4x + 1
B.(1/2, 3)
y = 4(1/2) + 1
y = 4 ÷ 2 + 1 = 3
y = 3.
y = 4x + 1
3 = 4x + 1
3 - 1 = 4x
2 = 4x => x = 2 ÷ 4 = 1/2
x = 1/2.
y = - 2x + 4
B.(1/2, 3)
3 = - 2x + 4
3 - 4 = - 2x
- 1 = - 2x => x = 1/2
x = 1/2.
y = - 2x + 4
y = - 2(1/2) + 4
y = -2(0.5)+ 4
y = -1 + 4 = 3
y = 4x + 1
C.(1,2)
y = 4(1) + 1 = 5
y = 5.
y = 4x + 1
5 = 4x + 1
5 - 1 = 4x
4 = 4x => x = 4÷4 =1
x = 1.
y = -2x + 4
C.(1, 2)
y = - 2(1) + 4
y = - 2 + 4 = 2
y = 2.
2 = -2x + 4
2 - 4 = - 2x
- 2 = - 2x => x = 2÷2 = 1
x = 1.
y = 4x + 1
D.(1/4, 2)
y = 4(1/4) + 1
y = 4(0.25) + 1
y = 1 + 1 = 2
y = 2.
y = 4x + 1
2 = 4x + 1
2 - 1 = 4x
1 = 4x => x = 1/4
Point A is the point of intersection of the lines.
You spend $39.48 at At the start of the summer, you have $603.15 in the bank. You make deposits of $90.89 in June, $106.03 in July, and $70.04 in August. At the end of the summer, how much money do you have in the bank? the store. You pay at $50.00. What is your change
Answer:
820.11
Step-by-step explanation:
-39.48
603.15+90.89=694.04
694.04+106.03=800.07
800.07+70.04+870.11
870.11-50.00=820.1
Hi. Please i need help with this . No jokes . I need help with (vii) and (ix)
9514 1404 393
Answer:
(vii) 25/4
(ix) -61/6
Step-by-step explanation:
(vii) Once again, we remind you that for ax²+bx+c=0, ...
α+β = -b/a = -(-7/2) = 7/2 = 3.5
αβ = c/a = -3/2 = -1.5
Then the desired expression is ...
α/(β+1) +β/(α+1) = (α² +α +β² +β)/((α+1)(β+1))
= ((α+β)² -2αβ +(α+β))/(αβ +(α+β) +1)
= (3.5² -2(-1.5) +3.5)/(-1.5 +3.5 +1) = 18.75/3 = 6.25 = 25/4
__
(ix) α/β +β/α = (α²+β²)/(αβ)
= ((α+β)² -2αβ)/(αβ) = (3.5² -2(-1.5))/-1.5 = 15.25/-1.5 = -61/6
If one of the zeroes of the cubic polynomial p(x)=ax³+bx²+cx+d is zero then find the product of other two zeroes of p(x).
Answer:
As one of the zeros of polynomial is 0, then (x-0) =x is a factor of given polynomial.
Since x is a factor , d= 0
ax^3+bx^2+cx+d = ax^3+bx^2+cx
= x(ax^2+bx+c)
Other two roots are roots of
ax^2+bx+c = 0
For a quadratic equation ax^2+bx+c = 0
Product of roots = c/a
Sum of roots = -b/a
So
Product of other two roots = c/a
Hope this helps :D
. |13 - 7| = |13| - |-7
True or false
Answer:
Step-by-step explanation:
You are dealing with absolute values, so both sides equal 6, so it's true
IM RUNNING OUT OF TIME AND I ONLY HAVE A FEW MINUTES LEFT PLEASE HELP ME!!! IM GIVING 15 POINTS
Answer:
what is l and multiply l by 4 my guy
Step-by-step explanation:
Answer:
x = 25
<HKL = 102
Step-by-step explanation:
<LKH + <HKJ = 180 since the two angles form a straight line
<LKH + <HKJ = 180
4x+2 + 78 = 180
Combine like terms
4x+80 =180
Subtract 80 from each side
4x+80-80=180-80
4x= 100
Divide by 4
4x/4 = 100/4
x = 25
<LKH = 4x+2 = 4*25 +2 = 100+2 = 102
79x + 4x^2 − 2y − 82x + y
Combine this like term
Answer: 4x^2-y-3x
Step-by-step explanation:
yo im timed please help!! at the top it says "car A is traveling east at a steady speed of 45 mph. after 2 hours it is 100 miles east of Johnstown . car B is traveling east on the same road. its distance east of Johnstown is represented by the graph" il give 20 more points if you're correct
Answer:
it could be C or a
Step-by-step explanation:
more likey c be sorry if it's wrong
Those two please I really need help
Answer:
Horizontal flat lines have a slope of 0, and the other one is negative correlation because if you make an imaginary line through that it would have negative slope
Which list shows these numbers in order from least to greatest? 87.5%, -2.25, -1/4, 0.625
Answer:
-2.25, -1/4, 0.625, 87.5%
3 + 5p − 12 = 2p + 12
Answer:
p=7
Step-by-step explanation:
Let's solve your equation step-by-step.
3+5p−12=2p+12
Step 1: Simplify both sides of the equation.
3+5p−12=2p+12
3+5p+−12=2p+12
(5p)+(3+−12)=2p+12(Combine Like Terms)
5p+−9=2p+12
5p−9=2p+12
Step 2: Subtract 2p from both sides.
5p−9−2p=2p+12−2p
3p−9=12
Step 3: Add 9 to both sides.
3p−9+9=12+9
3p=21
Step 4: Divide both sides by 3.
3p
3
=
21
3
p=7
Hope this helps have an amazing day!!