Find the y-intercept and x-intercept of the line -x+2y=4
Answers
Answer:
The y-intercept and x-intercept of the line are 2 and -4 respectively.
Step-by-step explanation:
Given equation of line -x + 2y = 4
We have to find the y-intercept and x-intercept of the line.
Consider the given equation of line -x + 2y = 4
the y-intercept of line is the point where the line touches y axis and we know at y axis the coordinate of x is 0.
Thus, putting x = 0 in line equation , we get,
-(0) + 2y = 4
⇒ y =
⇒ y = 2
the x-intercept of line is the point where the line touches x axis and we know at x axis the coordinate of y is 0.
-x + 2(0) = 4
⇒ x = - 4
Thus, the y-intercept and x-intercept of the line are 2 and -4 respectively.
Answer:
y-intercept is 2 and x-intercept is -4
Step-by-step explanation:
The first step is to re-write the equation of the line in slope-intercept form; where m is the slope and c the y-intercept. In this case we have;
. To determine the y-intercept we set the x to be equal to zero;
and the y-intercept is thus 2. To determine the x-intercept we set y to be equal to zero and solve for x;
. Solving for x yields -4.
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Answers
Answer:
t = 2.9272 > 1.708 at 25 degrees of freedom
null hypothesis is rejected
The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes
Step-by-step explanation:
Step (i):-
A sample of 26 main roads results in a mean waiting time of 21.1 minutes with a sample standard deviation of 5.4 minutes.
Given sample size 'n' = 26
The mean of the sample 'x⁻ = 21.1 min
Standard deviation of the sample 'S' = 5.4 min
The Population mean 'μ' = 18min
Step(ii):-
Null hypothesis: H₀ : The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 18 minutes.
'μ' > 18min
Alternative hypothesis :H₁:
'μ' <18min
Level of significance : ∝=0.05
Degrees of freedom γ = n-1 = 26-1 =25
The test statistic
t = 2.9272
Step(iii):-
The tabulated value t = 1.708 at 25 degrees of freedom
t = 2.9272 > 1.708 at 25 degrees of freedom
Null hypothesis is rejected at 5% significance level of significance
Conclusion:-
The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes
Answers
Answer: 30 5/12
Step-by-step explanation: 18 1/4/3=6 1/12. 6 1/12x5=30 5/12.
Answers
Answer:
(f - g)(x) = - x² + 2x + 3
Step-by-step explanation:
f(x) = 2x + 2
g(x) = x² - 1
To find (f - g)(x) subtract g(x) from f(x)
That's
(f - g)(x) = 2x + 2 - [ x² - 1]
(f - g)(x) = 2x + 2 - x² + 1
Group like terms
That's
(f - g)(x) = - x² + 2x + 2 + 1
We have the final answer as
(f - g)(x) = - x² + 2x + 3
Hope this helps you
Answer:
-x2+2x+3
Step-by-step explanation:
(2x+2)- (x2-1)
2x+2-x2+1
-x2+2x+3
Type your answer in the box below.
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y =

Answers
Hey there!
y + 3 = 30
SUBTRACT 3 to BOTH SIDES
y + 3 - 3 = 30 - 3
CANCEL out: 3 - 3 because that gives you 0
KEEP: 30 - 3 because that gives you the value of y
y = 30 - 3
30 - 3 = y
y = 27
Answer: y = 27
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Subtract 3 from both sides to get y by itself.
Answers
Answer:
The remaining amount in the person's wallet is $30.
Step-by-step explanation:
We are given that a person left the house to go shopping with $240.00 in his wallet, and he spent 2/3 of this amount in the supermarket, then spent 1/4 of what was left in the pharmacy. At a stop at the butcher shop, he left 1/2 than he had left.
And we have to find the remaining money in the wallet after making all these above expenses.
At the starting, the amount of money in the person's wallet = $240
Amount of money spent in the supermarket =
=
= = $160
So, now the amount of money left with him = $240 - $160
= $80
Amount of money spent in the pharmacy =
= = $20
So, now the amount of money left with him = $80 - $20
= $60
Now, Amount of money spent at the butcher shop =
= = $30
So, now the amount of money left with him = $60 - $30
= $30
Hence, the amount of money remaining in the person's wallet is $30.
Answers
Answer:
x = 9 y = -4
Step-by-step explanation:
4x + 3y = 24 . (-5) ------> -20x -15y = -120 (A)
6x + 5y = 34 . (3) -------> 18x + 15y = 102 (B)
(A) + (B) ----------> -2x = -18 ---------> x = 9
4.9 + 3y = 24
3y = 24 - 36
3y = -12
y = -4