Triangle inequality Theorem
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A straight line has an equation y= 4x=5 Write down the equation of the straight line that is parallel to y=4x-5 and passes through the point (0,3).
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Their ages are jan's age = 19 and tritts age be 11 yaers
What is Algebra?
Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values.
Given:
Jan's Age is 3 years less than twice Tritts age.
sum of their ages is 30.
let tritts age be x
jan age= 2x -3
Now, sum of their ages = 30
x+ 2x-3 = 30
3x= 33
x=11
hence, jan's age = 19 and tritts age be 11 yaers
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3x-3=30
3x=33
Tritts age=x=11
Jans age=2x-3=2(11)-3=22-3=19
Tritt=11
Jan=19
B. 20 pounds
C. 24 pounds
D. 22 pounds
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k(t) = 280(0.88)^t
t = 1 ; t = 2 ; t = 3
k(1) = 280(0.88)¹ = 280(0.88) = 246.40
k(2) = 280(0.88)² = 280(0.7744) = 216.83
k(3) = 280(0.88)³ = 280(0.681472) = 190.81
280 - 246.40 = 33.60 ⇒ 33.60/280 = 0.12
246.40 - 216.83 = 29.57 ⇒ 29.57/246.40 = 0.12
216.83 - 190.81 = 26.20 ⇒ 26.20/216.83 = 0.12
The rate is 0.12 or 12%
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Answer: y = -2x + 13.
Step-by-step explanation:
To find the equation of a line that passes through the points (4,5) and (2,9), we can follow these steps:
1. First, let's determine the slope of the line using the formula: slope (m) = (change in y) / (change in x). We can choose any point as (x1, y1) and the other point as (x2, y2) to calculate the slope.
Using (4,5) as (x1, y1) and (2,9) as (x2, y2):
slope (m) = (5 - 9) / (4 - 2) = -4 / 2 = -2
2. Now that we have the slope (-2), we can use the point-slope form of a line to find the equation. The point-slope form is given by: y - y1 = m(x - x1), where (x1, y1) is one of the given points and m is the slope.
Using (4,5) as (x1, y1) and -2 as the slope (m):
y - 5 = -2(x - 4)
3. Simplifying the equation further, we get:
y - 5 = -2x + 8
4. To obtain the equation in slope-intercept form, we can isolate y by adding 5 to both sides:
y = -2x + 8 + 5
y = -2x + 13
Therefore, the equation of the line that passes through the points (4,5) and (2,9) is y = -2x + 13.
Final answer:
The equation of the line that passes through the points (4,5) and (2,9) is y = x + 1.
Explanation:
To find the equation of the line that goes through the two given points (4,5) and (2,9), we can use the slope-intercept form of a linear equation, y = mx + b.
First, we need to calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the values from the points, we get:
m = (9 - 5) / (2 - 4) = -2 / -2 = 1.
Next, we can substitute the slope and one of the given points into the equation to solve for the y-intercept (b).
Using the point (4,5):
5 = (1)(4) + b
b = 5 - 4 = 1.
Therefore, the equation of the line is y = x + 1.
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Hey there!
1/2x + 3 - 2/5x + 1
COMBINE the LIKE TERMS
= (1/2x - 2/5x) + (3 + 1)
1/2x - 2/5x = 1/10x
3 + 1 = 4
= 1/10x + 4
Therefore, your answer is: 1/10x + 4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
Step-by-step explanation: