How can you tell from the equations, without graphing, how many solutions the system has?
Answers
Answer:
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.Step-by-step explanation:
Hope this helps !!
Related Questions
Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best-predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction worthwhile?
Lemon Imports Crash Fatality Rate
232 16
268 15.7
361 15.4
472 15.5
535 15
Answers
The regression analysis evaluates the amount of relationship that exists
between the variables in the analysis.
The regression equation is; [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.Reasons:
First part;
The given data is presented as follows;
[tex]\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right][/tex]
The least squares regression equation is; [tex]\overline y = b \cdot \overline x + c[/tex]
Where;
[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]
[tex]\overline y[/tex] = The mean crash fatality = 15.52
[tex]\overline x[/tex] = The mean lemon import = 373.6
Therefore;
[tex]b = \dfrac{-171.36 }{67093.2 } = -0.00255[/tex]
c = [tex]\overline y[/tex] - b·[tex]\overline x[/tex] = 15.52 - (-0.00255)×373.6 = 16.47268
Therefore;
The regression equation is [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]Second part;
When the imports is 425 metric tons of lemon, we have;
[tex]\overline y[/tex] = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4
Therefore;
When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4
Given that the predicted value is between the values for 268 and 535, we
have that the prediction is approximately correct or worthwhile
The prediction is worthwhile
Learn more about regression equation here:
https://brainly.com/question/5586207
After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.
Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?
Answers
The value of b Lois gave to Clark to satisfy the given equation is -7.
The given parameters;
2x + 7 - x = 4x + 2b – 3x - 3b
To obtain the value of b, simplify the equation as follows;
2x + 7 - x = 4x + 2b – 3x - 3b
collect similar terms together
(2x - x) + 7 = (4x - 3x) + (2b - 3b)
x + 7 = x - b
(x - x) + 7 = -b
0 + 7 = -b
7 = -b
-7 = b
b = -7
Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.
Learn more about simplification of algebraic expression here: https://brainly.com/question/8956927
57 yard . ×/1 yard =171 ft.
Answers
Answer:
the answer should be b good luck
Sammie pays $30 for a bag that she buys at a discount of 50%. What is the price of the bag without the discount?
A.
$30
B.
$45
C.
$60
D.
$80
Answers
Answer:
$60
Step-by-step explanation:
because 30 is 50% percent of 60
Twice jack’s age plus 5 is 21.write and solve an equation.how old is jack
Answers
Answer:
8
Step-by-step explanation:
If j represents Jack's age, we have ...
2j +5 = 21
2j = 16 . . . . . . subtract 5
j = 8 . . . . . . . . divide by 2
Jack is 8 years old.
if you run 4 1/2 miles in three quarter of an hour, how many miles would you run in two thirds
Answers
Answer:4
Step-by-step explanation: each quarter of an hour is 1.5 miles they both can go into 12 so if you multiply 2*4 and 3*4 you get 8/12 and if you multiply 3*3 and 4*3 you get 9/12 then you subtract 9/12 by 8/12 to get so 1/12=1/2 miles so you would subtract 4 1/2 by 1/2 to get 4
Find the area of the parallelogram.
48 square m
20 square m
30 square m
40 square m
Answers
hola pueden ayudar a=6cm b=8cm c?
Answers
Answer:
c=10cm
Step-by-step explanation:
a²+b²=c²
6²+8²=c²
36+64=c²
100=c²
10=c
Place the steps to solve 2(x + 3) - 5x > 18 in order.
Answers
Answer:
-4
Step-by-step explanation:
That's the answer above
Adding a few more points to this one plz answer the question in the picture
Answers
Answer:
The greatest number of arrangements possible would be 5
Step-by-step explanation:
If we look at the x values (in this case # of tulips remaining) we can find the number 20. And we see that there is a line going through it. We then stop at the point and go down to see what number it would fall on on the y axis.
i need help with this!!!!
Answers
Answer: 2. 5.
Step-by-step explanation:
Write an algebraic expression for the following: A number that is 5 more than half of x
Options:
1. 5x x 1
2. 0.5x + 5
3. 5x
4. 0.5x - 5
Answers
Answer:
2. 0.5x + 5
Step-by-step explanation:
5 + 0.5x
What is the difference between the yearly wages of the highest paying job and lowest paying job, assuming Araceli will be paid for working 40 hours a week, 52 weeks a year
Answers
Answer:
Is there a picture?? I need a picture
Step-by-step explanation:
62 out of 100 children prefer strawberries. What percentage of children prefer strawberries
Answers
Answer:
it is 62
Step-by-step explanation:
62 out of 100 is equal to 62/100 or 62%
A bog contains the
letters in CHEESECAKE.
A letter will be drawn
from the bag and
replaced 220 times
What is a reasonable
prediction for the number
of times an E will be
drawn?
Answers
88
hope this helps!
ax4 + bx2 + c=0 (a>0) (c>0)
The quadratic equation has two solutions If
1)b2>4ac
2) b2-4ac>0
Answers
The quadratic equation has two solutions if b^2 - 4ac > 0
Given the equation ax^4 + bx^2 + c=0
Let P = x^2Substitute into the formula to have:
a(x^2)^2 + bx^2 + c =0The equation becomes aP^2 + bP + c = 0
For us to have a unique solution, the discriminant b^2 - 4ac must be greater than zero. Hence the quadratic equation has two solutions if b^2 - 4ac > 0
learn more on discriminant here; https://brainly.com/question/1537997
Help!!
What is the value of -2 xy if x = -1 and y = 6?
-12
12
8
26
Answers
Answer:
12
Step-by-step explanation:
-2xy
Let x = -1 and y =6
-2 ( -1) (6)
Multiply
2 (6)
12
2x+y=−1.5
y=3.5x+15.
Answers
Answer:
x=-3, y=4.5
Step-by-step explanation:
PLEASE NO LINKS AND NO NEGATIVITY!!!
Answers
Answer:
-2x + 8
Step-by-step explanation:
32x + 8 - 34x
(32 - 34)x + 8
-2x + 8
-2x + 8
Explanation:-=> 32x + 8 - 34x
=> (32 - 34)x + 8
=> -2x + 8
HELP!!! PLEAAASSEEEE
Answers
Answer:
RT
Step-by-step explanation:
please mark brainliest
please help asap for brainlist
Answers
Answer:
it's (2,-4)
hope it helps
The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is
Answers
See below
[tex]\\ \sf\Rrightarrow y=-x+2[/tex]
[tex]\\ \sf\Rrightarrow y=x+1[/tex]
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
Is mLBAF = mLCEF? Explain.
Than you
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The Angles BAF and CEF are equal to one another, because they form pair of Alternate Interior Angles ~
So, the Correct choice is ~
Yes, They are Alternate interior Angles[tex]꧁ \large \sf{itz0kaul } \: ꧂[/tex]
Can someone help me with this question
Answers
Answer:
$2.40
Step-by-step explanation:
Answer:
48 mph
Step-by-step explanation:
Since you get fined $12 for each mile per hour over and she was fined $96, we can set an equation to find how many miles per hour she was over:
12*x=96
x=8 mph over the speed limit
Since the speed limit is 40, then she was going 40+8=48mph
Jesse collected 42 football cards and 28 baseball cards. Simplify the ratio of baseball cards to football cards in his collection
Answers
Answer:
3:2
Step-by-step explanation:
42:28
21:14
3:2
A bottle of juice costs $1.85, and a pack of 6 bottles of lemonade costs $5.40. If Jimmy
buys 3 bottles of juice and a dozen bottles of lemonade, how much money should he
spend in all?
Answers
Answer:
Step-by-step explanation:
+
1.85
5.40
_____
6. 2 5
how many feet are in 306 inches
Answers
306 inches: 0.0833 x 306 = 25.4898
Therefore, 25.4898 feet are in 306 inches.
Answer:
25.5
Step-by-step explanation:
There are 12 inches in a foot and therefore...
306/12=25.5
306 inches is 25.5 feet
What is 9x8x7x4 ANswer in 1 second.(IKNOW THE ANSWER)
Answers
Answer:
2016
Step-by-step explanation:
What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?
Answers
Answer:
center: (-5,6)
Radius: 7
Step-by-step explanation:
What is the solution to the equation? −12x=−3
Enter your answer in the box.
Answers
Answer:
The answer is 1/4 or 0.25
Step-by-step explanation:
The question is very simple. All we have to do is figure out what -12 multiplied by ______ equals -3
So we can just divide -3 by -12 to find the answer.
-3 / -12 = 0.25
So the answer is 0.25 or 1/4 in fraction form.
Hope this helps! :)
૮ ・ﻌ・ა
Answer:
x = 1/4
Step-by-step explanation:
−12x = − 3
Step 1: Divide both sides by -12.
-12x/-12 = -3/-12
Answer:
x = 1/4
