Divide: (3x^4+11x^3+10x^2+5x-21) / ( x+3). Synthetic division is recommended, but you can use long division too
1 answer:
Quotient Is 3x³+2x²+ 4x-7 and the remainder is 0.
<u>Step-by-step explanation:</u>
In long division, first we have to multiply (x+3) by 3x³, and then changing the sign of the product, cancel the terms then (x+3) is multiplied by 2x² then by 4x and finally by -7, we will get the remainder as 0 and the quotient as 3x³+2x²+ 4x-7.
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Answer:
B, C, and D.
Step-by-step explanation:
Let's go through each answer choice.
A: To find the slope of a line from two points, we use this formula: . Plugging in the values (-2,0) and (2, -4), we get:
Because option A says the slope is 1, but we got -1, option A is false.
B: To find the y-intercept, we use this formula:
Since we know the value of b is the y-intercept, we could write the y-intercept as (0,-2). Therefore, option B is true.
C: The equation of a line (in slope-intercept form) is y = mx + b, where y - y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. Since we already solved for the y-intercept and slope, let's plug in those values:
As you can see, the equation we got here matches the one in option C, meaning it's true.
D: We know that a point is written like this: (x, y). If the x-coordinate is not zero but the y-coordinate is, then it's the x-intercept. Since the question says that (-2,0) is one of the points the line passes through, and option D says that the x-intercept is (-2,0), it's true.
Answer:
$36000
Step-by-step explanation:
We have a mean price of $4500 this means that in the 8 cars we have cars with higer and lower prices than $4500 but that if we have to give the same price to 8 cars that would be $4500. Then to know the total price of the all 8 cars we just have to multiply: