Answer:
x=-3, y=-19
Step-by-step explanation:
we can solve by substitution.
y = 2x-1 we can derive from the second equation.
plugging it into the first equation, 2x -3(2x-1) = 15.
simplying, 2x-6x+3 = 15 --> -4x+3 = 15, -4x = 12, x = -3.
now we know x, so we can solve for y by plugging it into one of the equations. --> -3*-6+y = -1
simplify, 18+y = -1 --> y = -19.
What is the y-intercept of a line that passes through the points (5, -6.5) and (-12, 2)?
Answer:
y-intercept = -4
Step-by-step explanation:
equation of a line: y=mx+b
two points given are (5, -6.5) and (-12, 2)
first we can easily find value of m or the slope, by using the slope formula. the value of m=-0.5.
formua to find m: [tex]\frac{2-(-6.5)}{-12-5}[/tex]= -0.5
to find the value of b (the y-intercept), we need to plug in a y and x value, we are given 2 ordered pairs, you can use either one and plug x-value in for x and the y-value in for y.
if i plug in (5, -6.5), my equation looks like this: -6.5=5(-0.5)+b
then you just solve for b and it turns out to be -4.
The solution is -4
The y intercept of the line passing through the points
P ( 5 , -6.5 ) and Q ( -12 , 2 ) is -4
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 5 , -6.5 )
Let the second point be Q = Q ( -12 , 2 )
Now , the slope of the line between 2 point is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 + 6.5 ) / ( -12 - 5 )
Slope m = - 8.5 / -17
Slope m = -1/2
Slope m = -0.5
Now , the equation of line is given as
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - ( -6.5 ) = -0.5 ( x - 5 )
On simplifying the equation , we get
y + 6.5 = -0.5x + 2.5
Subtracting 6.5 on both sides of the equation , we get
y = -0.5x - 4
The equation is of the form y = mx + b where m is the slope and b is the y-intercept
Therefore , the y intercept of the line is -4
Hence , the y intercept of the line A is -4
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ2
u
Question 9
1 pts
Find LJ
12
M
6
J
L
K
K
24
0 42
O 36
O 12
O 18
Answer:
18
Step-by-step explanation:
since 24 is the total value of MK, and ML is already 12 of that, you can subtract 12 to get 12. KJ is 6, so we can add that to the 12 we just got to find the total value of LJ. 12 + 6 = 18.
One winter night, the temperature outside was 10°F. Overnight, the temperature dropped to –2°F.
How many degrees did the temperature drop?
A)12
B)10
C)0
D)2
I will give Brainilest,5 star rating, and a thanks
what is the GCF of 100 and 20
Answer:
20
Step-by-step explanation:
20 is the greatest factor because:
20*5=100
20*1=20
What is the probability when Sue will randomly select from a treat bag containing 6
lollipops and 4 gum balls. Sue will select a treat, NOT REPLACE it, and then select a
second treat. Sue will select a gumball then a lollipop.
Answer:
6/25
Step-by-step explanation:
It is already to late to answer this because my final was due yesterday:
What percent is increase if the boy had 12 comic books and bought mores so now he has 15 comic books.
Answer:
increase by 25%
Step-by-step explanation:
15-12=3
12÷3=4
4=25%
Answer
A 15
B 100
C 120
D 148
Answer:
120
Step-by-step explanation:
6*5*4=120 and boom that’s your answer
Solve for a 1/2 a-9=11
Answer:
a=31
Step-by-step explanation:
1/2(a-9)=11
a-9=22
a=22+9
a=31
which equation is equivalent to x2+7x+12/ x2-x-12
Answer:here try both of these
x=4
x=3
Step-by-step explanation:
PLS I NEED YOUR HELP AND I REALLY NEED THIS DONE CAN YOU GUYS DO THIS FOR ME I'LL BRAINLIEST. use the quadratic formula to find the equation. 3x^-10x+5=0
A. 10±√40/6
B. 2±√24/2
C. 1±√35/2
D. 5±√15/3
Answer:
my answer is (5±√10)/3
Which choices are equivalent to the expression?
Ms. Williamson woke up one morning to find her basement flooded with water. She called two different plumbers to get their rates. The first plumber charges $36 just to walk in the door plus $28 an hour. The second plumber charges a flat $64 an hour.
a. What is the cost for each plumber if the job takes four hours?
b. How many hours did the first plumber take to do the job if he charged $176?
c. After how many hours will the cost for both plumbers be the same?
Answer:
A. $148 for the first plumber for 4 hours. $256 for the second plumber for 4 hour
B. He did 5 hours
C. 1 hours because the flat rate plus the hourly fee adding it together will equal 64.
Step-by-step explanation:
Your welcome
Helen had $330 in her savings account when Vince opened a savings account with zero dollars.
Helen deposited $30 into her account each week for x weeks.
Vince deposited $50 into his account each week for x weeks.
The accounts did not earn interest.
Which inequality represents this situation when the amount of money in Helen's account was greater than the amount of money in Vince's account?
A.
30x>330+50x
B.
50x 330+30x
I think the answer is 30x+330>50x
Step-by-step explanation:
for the option A it was slightly changed,
cause the $30 was deposited by helen not Vince.
so check that well
Plz solve this as soon as possible it is due today, all it is is yes or no
Answer:
1 Rational, Integer
2 Rational
3 Rational, Whole
4 Rational , Whole
5 Rational
6 Rational
7 Rational
8 Rational
Step-by-step explanation:
Pretty sure this is correct
(23 PTS) WILL GIVE BRAINLIST
Answer:
Step-by-step explanation:
g(x) would be
8
4
2
0
- 2
What is the slope for the following question?
Y = 3x - 2
0 is a polynomial. T or F
Answer:
Like any constant value, the value 0 can be considered as a (constant) polynomial, called the zero polynomial. It has no nonzero terms, and so, strictly speaking, it has no degree either. As such, its degree is usually undefined.
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
slope=
-2/5 y-intercept = 0
A movie is 2 and a quarter hours long. A family is able to watch 2/6 of the movie before having to leave the theater. How many hours of the movie did the family watch?
Answer:
29 mints OK. O that's v the answer all
I have over 20 pencils in my desk
Answer:
that means you probably have 40 or 30
Step-by-step explanation:
Use synthetic division to determine f(-2) for the function f(x)=9x^3-18x^2-16x+32
144
-144
-54
-80
Answer: -80
Step-by-step explanation:
HELP!!! VERY CONFUSED????
Answer:
I am pretty sure the answer is 17
Can someone help me on this real quick PLZZZZZZZZZZZzz
Step-by-step explanation:
1)On the table for Yards put 3 and 5. Then put Feet as 6, 12 and 18.
2)On 2 put [tex]\frac{6}{2} \frac{9}{3} \frac{12}{4} \frac{15}{5}[/tex]
Each ratio is equal to 3:1
3)The equation that describes the relationship is x:y
4)The equation that describes the relationship is 3:50
What is Derricka's goal, in miles, for the total distance she will swim on Monday, Tuesday, and Wednesday? Show your work.
Respond in the space provided.
Answer:
there is no backgroung information?
Step-by-step explanation:
A car is traveling on a highway at a constant speed, described by the equation d = 70t, where d represents the distance, in miles, that the car travels at this speed in t hours. How many miles does the car travel in 1.2 hours?
Answer:
84miles
Step-by-step explanation:
Step one:
given data
we are told that the equation that describes the car's speed is
d = 70t-----------1
From the equation, we can see that the speed with which the car is traveling is 70miles per hour, while we are expected to find the distance d when the time is 1.2 hours.
Required
The distance d at 1.2 hours
Step two:
substituting in the expression we have
d= 70*1.2
d=84miles
Can someone help me with this
Answer:
1, 4, 9, 16,25, 36, 49, 64, 81, 100, 121, 144
Step-by-step explanation: hope it helps
Answer:
1, 4, 9, 16, 25, 36
Step-by-step explanation:
Hi! So when you're looking at questions like these, you're normally going to want to find a pattern. So lets look at this problem. When you jump from the number 1 to the number 4, you increase by 3. When you jump from the number 4 to the number 9, you increase by 5. When you jump from the number 9 to the number 16, you increase by 7.
Based on this information, you can conclude that the pattern is that it is increasing by odd numbers, and the odd number is increasing by 2 each time.
Now that we know the information, we can start finding the next terms. Since the jump from 9 to 16 was 7, we know that the next number is going to be 9 away from 16, which is 25.
Now that we have that term, we can find the next. We know that the jump from 16 to 25 is 9, so we know that the next term will be 11 away from 25, which is 36.
You could keep doing this forever.
Hope this helps!!
Kevin purchased 5 hamburgers for $1.40 each and 6 sodas for $1.25 each. The tax on his order
was 8%. What was the total cost of Kevin's purchase?
A. $14.50
B. $15.66
C.$22.50
D. $14.58
Answer:
14.50
Step-by-step explanation:
hope this helps
The total cost of Kevin's purchase including tax would be $15.66
Calculating the cost of each item :
Cost of hamburgers = 5 × $1.40 = $7.00
Cost of Sodas = 6 × $1.25 = $7.50
The total cost of Kevin's purchases excluding tax is the sum of the items :
$7.00 + $7.50 = $14.50Tax paid on purchase :
8% × $14.50 = $1.16Therefore, The total amount paid including tax is ($14.50 + $1.16 = 15.66
Learn more : https://brainly.com/question/18796573
An industrial shipping crate is in the shape of a rectangular prism. The crate is 7 feet shorter than it is wide and 16 feet deeper than it is wide. The volume of the crate is 6,732 cubic feet. What equation represents the volume of the shipping crate?
v=l×w×h
v=3×1.2×4.5
v=16.2
Which of the following statements says that a number is between -5 and 5?
|x| > 5
|x| < 5
|x| = 5
Answer:
I think its
|x| = 5
Step-by-step explanation:
Answer:
|x|<5
Step-by-step explanation:
Vertices Outside of the Circle: There are three angles with vertices outside of the circle that same the same theorem. What is the names of those angles?
Answer:
what do you actually wanna say?