What is the slope-intercept equation for the line below?
Answers
Answer: D
Step-by-step explanation:
If we look at the graph we can see that the line intercepts the y-axis at (0,-4), so the intercept must be -4.
If we use the rise-over-run formula for (0,-4) and (4,1) we would get:
Since the line is going upwards, the equation must be positive.
Therefore, the equation in slope-intercept form is y=5/4x-4.
First, we can eliminate option b and c because they are negative, and the line in the graph is goin up.
Then you count and get that the m is 5/4, put it together: y=5/4x-4
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What is the value of the discriminant for the quadratic equation 0 = 2x^2 + x – 3?Discriminant = b^2 – 4ac A) –25 B) –23 C) 25 D) 26
Answers
The domain is all real numbers. The range is also all real numbers.
Answers
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If 20 gallons of fuel is used to travel 440 miles.
47.91 gallons of fuel is used to travel 1054 miles.
What is a unit rate?
It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
A car uses 20 gallons of fuel to travel 440 miles.
This can be written as:
20 gallons = 440 miles
Divide both sides by 440.
20/4440 gallons = 1 miles
This means,
20/440 gallons is needed to travel for 1 mile.
Now,
20/440 gallons = 1 miles
Multiply both sides by 1054.
1054 x (20/440) gallons = 1054 miles
47.91 gallons = 1054 miles
This means,
47.91 gallons of fuel is used to travel 1054 miles.
Thus,
If 20 gallons of fuel is used to travel 440 miles.
47.91 gallons of fuel is used to travel 1054 miles.
Learn more about unitrates here:
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Answers
Answer:
Step-by-step explanation:
P: the principal, amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
n: the number of times it is compounded.
Ex2:Suppose that $5000 is deposited in a saving account at the rate of 6% per year. Find the total amount on deposit at the end of 4 years if the interest is:
P =$5000, r = 6% , t = 4 years
a) simple : A = P(1+rt)
A = 5000(1+(0.06)(4)) = 5000(1.24) = $6200
b) compounded annually, n = 1:
A = 5000(1 + 0.06/1)(1)(4) = 5000(1.06)(4) = $6312.38
c) compounded semiannually, n =2:
A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85
d) compounded quarterly, n = 4:
A = 5000(1 + 0.06/4)(4)(4) = 5000(1.015)(16) = $6344.93
e) compounded monthly, n =12:
A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44
f) compounded daily, n =365:
A = 5000(1 + 0.06/365)(365)(4) = 5000(1.00016)(1460) = $6356.12
Answers
lets say the base is from x1,y2 to x1,y1 the distance is 6 units
1/2 times 6 times height
from x1,y1 to x3,y3 is 7 units to the right
1/2 times 6 times 7=3 itmes 7=21
area=21 square units or
21 units^2
The area of this triangle with three vertices (x₁, y₁) , (x₂, y₂) and (x₃, y₃) is,
A = 1/2 [[(x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂))]
We have to give that,
The three vertices of the triangle are,
(x₁, y₁) , (x₂, y₂) and (x₃, y₃)
Since a triangle is a three-sided polygon, which has three vertices and three angles it has the sum of 180 degrees.
Hence,
The area of this triangle with three vertices (x₁, y₁) , (x₂, y₂) and (x₃, y₃) is,
A = 1/2 [[(x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂))]
So, the Formula is,
A = 1/2 [[(x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂))]
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Answers
Answer:
−42x−40
Step-by-step explanation:
How to solve for y?
Answers
3y=15x-12
/3 /3 /3
y=5x-4
y cannot be solved in this equation, but you should get y by it self.