Answer:
Step-by-step explanation:
As we move from the x-intercept (-2, 0) to the y-intercept (0, 4), x increases by 2 (this is the run) and y by 4 (this is the rise). Thus, the slope of this line is
m = rise/run = 4/2 = 2.
Given the y-intercept (0, 4) and the slope (2), the slope-intercept form of the equation of this line is y = 2x + 4.
From this we get the point-slope form:
y = 2x + 4 becomes y - 4 = 2(x - 0), or just y - 4 = 2x.
Answer:
x=2
Step-by-step explanation:
This is a one-to-one relationship, so when the output (range) is 4, the input (domain) is 2
Answer:913
Step-by-step explanation:
Answer:
-20
Step-by-step explanation:
Complete the square to find the vertex of this parablola x^2-8x-y-4=0 {the second one of -20; so 4,-20}
Answer:
Thus, a golden retriever should be given 19 teaspoon of medicine.
Step-by-step explanation:
- Given that a golden retriever weighing 85 pounds has diarrhea. His medicine is prescribed as 1 teaspoon per 5 pounds.
- To find how much medicine should he be given.
- Assign a variable. Write a sentence that gives the information to find it.
- Translate into a proportion be careful of the units.
- Multiply both sides by the Least Common Denominator and simplify. Check the answer.
Step 1 of 3
Write the data in mathematical form and simplify.
Let x=the number of teaspoon
If 1 teaspoon medicine is 5 pounds then 85 pounds is how many teaspoon of medicine.
Translate the statement into proportion.
Step 2 of 3
Multiply both sides by x and simplify
5x=85
Divide by 5,
<em>Simplify, x=19</em>
<em>Step 3 of 3</em>
<em>Check the answer.</em>
<em>Substitute x=19 in original proportion and simplify.</em>
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