Transform the equation x-3y=-15 to express it in slope-intercept form
Answers
The equation x - 3y = -15, when expressed in slope-intercept form, becomes y = (1/3)x + 5.
To express the equation x - 3y = -15 in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept, we need to isolate y on one side of the equation.
Let's begin by moving the x term to the other side of the equation:
x - 3y = -15
Subtracting x from both sides, we have:
-3y = -x - 15
Next, we divide both sides by -3 to isolate y:
y = (1/3)x + 5
Now, the equation is in slope-intercept form. The coefficient of x, which is (1/3), represents the slope of the line. In this case, the slope is positive (1/3), indicating that as x increases by 1 unit, y increases by (1/3) unit. The y-intercept, which is the value of y when x is 0, is 5. This means the line crosses the y-axis at the point (0, 5).
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-3y=-x-15
-1(-3y=-x-15)
3y=x+15
3/3y=1/3x+15/3
y=1/3x+5
Related Questions
(2a2 + a + 3) ÷ (a - 1)
Which represents the solution(s) of the system of equations, y = –x2 + 6x + 16 and y = –4x + 37? Determine the solution set algebraically.a.(3, 25) b.(–3, 49) c.(3, 25) and (7, 9) d.(–3, 49) and (–7, 65)
Khan-academy help please
Mrs. Daniel pays $324 for a handbag and 3 pairs of shoes. The handbag costs half as much as the 3 pairs of shoes combined. Find the cost of the handbag.
B.) a counterexample
C.) several true examples
D.) an informal proof
Answers
In order to prove a conjecture is always true is formal proof.
We have given that,
A.) a formal proof
B.) a counter-example
C.) several true examples
D.) an informal proof
We have to prove a conjecture is always true
In order to prove a conjecture is always true, you must show formalproof.
What is the conjecture?
A conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.
Therefore the first option is correct.
In order to prove a conjecture is always true is formal proof.
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Answer: A- a formal proof
Step-by-step explanation:
just is
Answers
Answer:
Step-by-step explanation:
Given:
Formula:
It is permutation formula which helps to find number of arrangement.
If we have three digits and to find how many different three digit number be form. We can find using permutation.
Using formula,
Cancel 4! from top and bottom
Hence, The value of is 1680
The required, permutation 8P4 is equal to 1,680.
"P" stands for permutation, which represents the number of ways to arrange objects in a specific order. The formula for permutations is:
nPr = n! / (n - r)!
Using the formula, we have:
8P4 = 8! / (8 - 4)!
= 8! / 4!
= (8 x 7 x 6 x 5 x 4!) / 4!
= (8 x 7 x 6 x 5)
= 1,680
Therefore, 8P4 is equal to 1,680.
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b) Is it the same as simple random sampling?
c) Is there selection bias in this method of drawing a sample?
Answers
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
Following are the description of the given points:
(a) This is a system of probability, which possibility occurs inside an intended manner whenever they choose this specific point of origin from 1 to 100 with no one reserve the possibility about who gets throughout the survey.
(b) Its method is different from the random sampling technique with the base available. For example, two individuals whose names identical to both the list have no chance to join within the survey.
(c) its sample is objective to its everyone can enter the test in equal measure.
Answers
Answer:
C
Step-by-step explanation:
< means exclusive, so open hole
≤ means inclusive, so closed dot
also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.
Answers
Answer:
Tax = $0.97175
Final Price = $15.92175
Step-by-step explanation:
To calculate the amount of tax of an amount you just must multiply this figure by the percentage of the tax expressed in decimal numbers.
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Data:
Price = $14.95
Tax rate = 6.5%
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Calculation of tax:
amount = total x percent = $14.95 x 6.5% = $14.95 x 0.065 = $0.97175
Calculation of the final price with tax:
Amount = book cost + tax = $14.95 + $0.97175 = $15.92175
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Tax = $0.97175
Final Price = $15.92175
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Hope this helps!
B.4x(2x + 3)
C.8x(x + 4)
D.8x(x2 + 4)