Answer:
equation y =7/4x+1
slope = 7/4
Step-by-step explanation:
We have two points so we can find the slope
m =(y2-y1)/ (x2-x1)
= (4--3)/(2--2)
= (4+3) / (2+2)
= 7/4
We know the slope and the y intercept
We can write the equation using y = mx+b where m is the slope and b is the y intercept
y= 7/4x +1
We put at dot at (0,1) and then go up 7 and to the right 4 . We put another dot
Connect the dots and we have our line.
We could also put dots at (-2,-3) and (2,4) and connect the dots.
Answer:
It would depend on how many miles per gallon your car gets
Step-by-step explanation:
As a general rule, most cars have about 2.5 gallons left in the tank when the gas light comes on. So depending on how many miles you get per gallon, you can probably go anywhere between 30-60 miles.
Combining the like terms, the simplified polynomials are given as follows:
a) 4x² - 14x + 17
b) -5x² - 20x + 8
<h3>How are polynomials simplified?</h3>
Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.
Item a:
4(x - 2)(x + 1) - 5(2x - 5)
Applying the distributive property:
4(x² - x - 2) - 10x + 25
4x² - 4x - 8 - 10x + 25
Combining the like terms:
4x² - 4x - 10x - 8 + 25
4x² - 14x + 17
Item b:
-5(x + 2)² + 28
-5(x² + 4x + 4) + 28
-5x² - 20x - 20 + 28
-5x² - 20x + 8
More can be learned about the simplification of polynomials at brainly.com/question/24450834
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Answer: -1/2, -0.22, 0, 12%, 0.56
Step-by-step explanation:
-1/2 is equal to -0.50, making it the number with the least value.
-0.22 is closer to 0 than -0.50, meaning it is greater then -0.50 and less than 0.
0 is between the negative and positive numbers, giving it the spot that it has.
12% is equivalent to 0.12, meaning it is more than 0, and less than 0.56, which is the greatest number.
0.56 has more value than any other number in the problem, meaning it goes last in the order.
