how to find intersection from -8x+3y=11 and y=3x+4
Answers
Answer:
(-1,1)
Step-by-step explanation:
To find where both lines intersect, solve for x and y with substitution.
Equation 1.
-8x+3y=11
Equation 2.
y=3x+4
Substitute y from equation 2 into equation 1.
-8x+3(3x+4)=11
-8x+9x+12=11
x=-1
Now plug x into the second equation to solve for y.
y=3(-1)+4
y=-3+4
y=1
Both lines intersect at (-1,1)
Answer:
(-1, 1)
Step-by-step explanation:
It's somewhat difficult to find the point of intersection when graphing these by hand, but a graphing calculator can show it easily.
The lines intersect at (-1, 1).
__
You are given an expression for y, which makes it easy to use substitution as a solution method. Using the second equation to substitute for y in the first equation, we get ...
-8x +3(3x +4) = 11
x +12 = 11 . . . . simplify
x = -1 . . . . . . . subtract 12
Substituting back into the second equation, we find y to be ...
y = 3(-1) +4 = 1
The lines intersect at (x, y) = (-1, 1).
_____
Additional comment
The slopes are 8/3 and 3. When hand-drawn lines have nearly the same slope, it is difficult to tell exactly where they intersect. Of course, a graphing calculator does not have the problem of finite line width and an apparent long region of intersection. It can pinpoint the intersection exactly.
Of course, "substitution" is not the only way this system of equations can be solved. However, for this system, it is one of the easiest when doing the solution by hand.
Related Questions
Determine the intercepts of the line. Do not round your answers.
Answers
Answer:
-14/9, -14
Step-by-step explanation:
y = -9x - 14
For x intercept, replace y with 0 and solve.
0 = -9x - 14
14 = -9x
-14/9 = x
- 1 5/9 = x
For y intercept, replace x with 0 and solve.
y = -9(0) - 14
y = -14
please help me please
Answers
Answer:
x+2y = 5
2x+y=4
->
x+3y = 5
6x-y = 11
->
2x+y=10
x-3y=-2
Step-by-step explanation:
solutions of x and y for each system of equation can be solved by graphing
graph the two equations, and the intercepts of the two equations would be the x and y-values, aka the answers
if there are no intercepts, the equations have no solution
A Hospital telephone operator has observed that calls arrive at a rate of 300 calls per hour. What is the probability that there are exactly 5 calls in 10 minutes?
Answers
Answer:
It can be done using poisson distribution.
λ = 30 calls/hr = 1.5 calls/3min
Now P(X=x)=e−λ.λxx!
So P(X=0)=e−1.5
Step-by-step explanation:
1. Ram has 50 apples. He distributed them
to his four siblings in the ratio 5:2:2:2. Find
how many apples will each get?
I
Answers
121/2
Step-by-step explanation:
50/4
it goes 12because of 48.
and then it will remain 2
Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.
Answers
Step-by-step explanation:
x = number of hours A
y = number of hours B
x + y = 23
5.7x + 7.1y = 143.7
from the first equation we get
x = 23 - y
this we use in the second
5.7×(23 - y) + 7.1y = 143.7
131.1 - 5.7y + 7.1y = 143.7
1.4y = 12.6
y = 12.6/1.4 = 9
x = 23 - y = 23 - 9 = 14
she worked 14 hours on job A and 9 hours on job B.
If a = - 4 and b = 5x + 2i , then find the value of a ^ 3 b in fully simplified form.
Answers
Answer:
-320x -128i
Step-by-step explanation:
Put the values where the variables are and do the arithmetic.
a³b = (-4)³(5x +2i) = -64(5x +2i) = -320x -128i
A car travels 270 kilometers in 6 hours. How far will it
travel in 9 hours at the same speed?
Pls pa help po
Answers
Answer:
405
Step-by-step explanation:
divide 270 by 6 the multiply what you got with 9
:)
What is the median of the following data values?
10, 11, 12, 15, 19, 24, 27, 29, 33, 38
Answers
Answer:
21.5
Step-by-step explanation:
Make sure they are in order.
A median is basically (or literally) the number in the middle of the data set.
In this case, it is 19 and 24. To get the middle number, you have to:
Add the two numbers and divide them by 2.
19 + 24 = 43
43/2 = 21.5
What is the domain of this function?(9,–2)(6,–10)(–3,9)(5,2)
Answers
Answer:
{−9,−5,2,6,10Step-by-step explanation:
With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane.
WILL GIVE BRAINLY TO FIRST ANSWER
Answers
Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.
The number of hours used for the return trip will be:
= 2 hours - 24 minutes.
= 1 hour 36 minutes.
= 1.6 hours.
Therefore, the speed of the air plane will be:
= (128 + 128) / (2 + 1.6)
= 256/3.6.
= 71.1 km per hour.
Learn more about speed on:
https://brainly.com/question/25860159
The ratio of the number of pears to the number of apples in the basket was 3 : 5 After Sean ate 2 apples, there were still 2 more apples than pears. How many pears were there in the basket?
Answers
Answer:
6 pears
Step-by-step explanation:
The difference in the number of ratio units is 5-3 = 2. This corresponds to an original difference of 2+2 = 4, so each ratio unit represents 2 pieces of fruit.
The original ratio is ...
6 pears : 10 apples
There were 6 pears in the basket.
8. Steve rode 18 miles on his bike in 2 hours. Which shows Steve's average rate expressed as
a unit rate? (6.RP.2)
a.
4 miles / hour
b. 9 miles / 1 hour
c. 18 miles /2 hours
d. 36 miles / 4 hours
Answers
Answer: It would be b.
Step-by-step explanation: A unit rate means a expression for 1. If you take the ratio 2:18 and change it to 1:X, you divide both sides by 2, and X is 9 meaning Steve travels 9 miles per hour.
help me please it’s urgent how do i solve this I was absent
Answers
Hi!
I can help you, no worries!
Your answer is y = -4/5x - 3
To solve this is much easier than you think. To "solve for y" we just have to get y on one side of the equal sign all by itself. We can see that it's "1 + y" on the left instead of just the y.
To get y by itself, we just subtract "1" from both sides.
1 + y = -4/5x - 2
-1 -1
y = -4/5x - 3
If you don't know why we have to subtract from both sides, think of it like this (it's how I like to think of it).
Each side of the equal sign is a twin. They are equal to eachother. If you change something about one twin, such as changing their hair color (or adding a number to one side of the equal sign), you have to do it to both in order for them to be the same. Right?
Hope this helps! Have a great day! :D
Help ASAP pleaseee
A line passes through the points (-4,1) and (-3,3) this line can be modeled by the equation y=mx+b
What is the values of m and b?
Answers
Answer:
2/1=2
Step-by-step explanation:
y=mx+b= 2
3-1=2
-3-(-4)=1
2/1=2
Answer:
m = 2 and b = 9
Step-by-step explanation:
i think yes, bc the equation is y = 2x + 9
13=2m+5
m = ?
help me pls
Answers
Answer:
m=4
Step-by-step explanation:
Answer:
The answer would be 4. It may seem like a lot of steps but its a lot easier then you think haha
Step-by-step explanation:
13-5 = 2m + 5 - 5 (Subtract 5 from both sides of the equation)
8 = 2m (Simplify)
8/2 = 2m/2 ( Divide both sides of the equation by the same term)
m= 4 (Solution)
The cost of a ticket for 3 days stay in a cruise ship is 35,968. If 500 tickets were sold, what was the total amount collected?
Answers
Step-by-step explanation:
a ticket for 3 days cost = 35968
cost of 1 ticket = 35967÷3= 11989.33
therefore, 500 tickets cost= 500 x 11989.33
= 5994666.666, approximately 5994667
I need is the answer of please
thank you
Answers
Answer:
39.2m
Step-by-step explanation:
The ratio would be 14/20 which is 0.7. So, you would take 56 and multipy it by 0.7 to get 39.2.
Answer:
39.2
Step-by-step explanation:
ok so you are given 2 triangles that are proportional
the 20 m side and the 56 m side go together
so this leaves 14 and L
so the ration is 2.8
multiply 14 by 2.8 and you get 39.2
1.25 as a fraction is what
Answers
Answer:
5/4
Step-by-step explanation:
-2x + 3y=-22
-6x + 3y = -18
What do you have to multiply the first equation by
to have the x's be opposite and the same?
Answers
Answer:
To be able to find what a variable equals, it has to be the only variable in the equation. Having an equation where a variable is opposite of another equation allows you to find the value of the other variable.
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form
Answers
Answer:
y = -5/6x + 6
Step-by-step explanation:
Since we have 2 points, (6,0) and (6,1), we can calculate for the slope by using the formula
Slope = m = (y2 - y1)/(x2-x1) = (1-6)/(6-0) = -5/6
Then plug in m, x(from one of the point), and y(from one of the point) to the equation y = mx + b which get us 0 = -5/6*6+b if we use the point (6,0). Now we'll get b = 6. And then plug in -5/6 for m and 6 for b into the equation y = mx + b we'll get y = -5/6x + 6
I NEED ANSWER ASAPPPP
Answers
boy-7/12
girl-5/12...................
The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 am and 12:30 pm, with a depth of 2. 5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5. 5 m. Let t = 0 be 12:00 am. Which periodic function, sine or cosine, would be a simpler model for the situation? Explain.
Answers
Answer:
A cosine function would be a simpler model for the situation.
The minimum depth (low tide) occurs at t = 0. A reflection of the cosine curve also has a minimum at t = 0.
A sine model would require a phase shift, while a cosine model does not.
edge 2022
hope it helps :)
5. Given no other restrictions, what are the domain and range of the following function?
f(x) = x2 – 2x + 2
OD= all real numbers
R = {yl y> 1}
OD = {xx> 1}
R= all real numbers
OD = all real numbers
R= {yly<1}
OD = {x|x>0}
=
R = all real numbers
Answers
Answer:
Step-by-step explanation:
Which pair of triangles must be similar?
Triangle 5 has a 30∘ angle and a 90∘ angle. Triangle 6 has a 30∘ angle and a 70∘ angle.
Triangles 1 and 2 each have a 35∘ angle.
Triangle 7 has a 50∘ angle and a 25∘ angle. Triangle 8 has a 50∘ angle and a 105∘ angle.
Triangles 3 and 4 are both isosceles. They each have a 40∘ angle.
Answers
how to write and express without exponents in standard form 5.1 X 104?
Answers
Answer:
156
1.56×10²
after you get your answer move the decimal however many spaces to where you only have one number before the decimal then you multiply it by 10 in your square root is however many times do you move the decimal
12. Which of the following transformations will produce a similar, but not congruent figure?
A. dilation
B. reflection
C. rotation
D. translation
Answers
Answer:
A
Step-by-step explanation:
Bc I m smorrt
AB with endpoints A(-2, -3) and B(4,4) is reflected in the line y = x to create its image A'B' Graph A' B' Then find the perimeter of the figure formed by the segments AB
BA' and AA to the nearest tenth
Answers
Answer:
Step-by-step explanation:
Math problem (easy)
………………………………………
Answers
Answer:
7/24
Step-by-step explanation:
Hope this helps
Answer:
1/6
Step-by-step explanation:
Decimal Form 0.16
At Charlie's Hats, 12% of the 75 hats are baseball caps. How many baseball caps are there?
Answers
da answer is 24 OK understand
Determine what type of model best fits the given situation: A 4% raise in salary each year. A. none of these B. exponential C. linear D. quadratic
Answers
Answer: C. linear
Step-by-step explanation:
Since the raise is going to be a constant amount, a 4% raise, the model will be linear.
Correct me if I am incorrect.