Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
First, we could determine the slope (<em>m</em>). The slope is the 
of the line, or the number of units it travels up over the number of units it travels to the right.
Notice how each consecutive point moves up 1 unit and right 1 unit. This makes the slope of the line 1/1, which is just 1:
Now, to find the y-intercept, we must identify the value of y when the line crosses the y-axis.
The line crosses the y-axis at y=3, so therefore, the y-intercept is 3:
I hope this helps!
Answer:
x = -4, 5/2
Step-by-step explanation:
A quadratic can be solved may ways, including graphing, factoring, and the quadratic formula. You can also check possible answers by making use of the relationships between solutions and the coefficients.
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A graph is attached. It shows the solutions to be -4 and 5/2.
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When factored, the equation becomes ...
(2x -5)(x +4) = 0 . . . . . has solutions x=-4, x=5/2 (these make the factors zero)
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Using the quadratic formula, the solutions of ax^2 +bx +c = 0 are found from ...
x = (-b±√(b²-4ac))/(2a)
x = (-3±√(3²-4(2)(-20))/(2(2)) = (-3±√169)/4 = {-16, +10}/4
x = {-4, 5/2}
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For ax^2 +bx +c = 0, the solutions must satisfy ...
product of solutions is c/a = -20/2 = -10
Only the first and last choices have this product.
sum of solutions is -b/a = -3/2
Only the first choice (-4, 5/2) has this sum.
It is 5 1/9 after being simplified
Answer:
thx
Step-by-step explanation:
The price of chips is $ 0.75, the price of a hot dog is $ 2 and the price of a soft drink is $ 1.25.
Step-by-step explanation:
Given,
A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft drinks for $15.25.
The price of a hot dog is $1.25 more than the price of a bag of potato chips.
The cost of a soft drink is $2.75 less than the price of two hot dogs.
To find the cost of each item.
Let,
The price of chips = x
The price of a hot dog = x+1.25
Price of two hot dog = 2(x+1.25) = 2x+2.5
The price of a soft drink = 2x+2.5-2.75 = 2x-0.25
Now,
According to the problem,
4(x+1.25)+3x+4(2x-0.25) = 15.25
or, 15x+5-1 = 15.25
or, 15x = 11.25
or, x = 0.75
Hence,
The price of chips = $ 0.75
The price of a hot dog = $ 0.75+1.25 = $ 2
The price of a soft drink = $ 2×0.75-0.25 = $ 1.25
