Answer:
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
Step-by-step explanation:
To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.
given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴
First, lets arrange like terms together. Put the terms with the same exponent together.
2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now combine the terms with the same exponent by subtracting 5x³ from 2x³.
-3x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now let's arrange the terms from increasing to decreasing powers/exponents.
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
This is your equation in standard form.
Hope this helps!
Answer:
Slope intercept: y = -3/2x + 1
Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]
Step-by-step explanation:
m = (change in y)/change in x)
But also
m = y_2 - y_1/x_2 - x_1
So lets substitute
m = 1 - (-2)/0 - (2)
Lets find the slope
m = 3/0 - (2)
m = 3/-2
m = -3/2 (Moved the negative)
Now we find the value of b using the equation of a line.
y = mx + b
y = (-3/2) * x + b
y = (-3/2) * (2) + b
-2 = (-3/2) * (2) + b
Now we find the value of b
Lets rewrite
-3/2 * 2 + b = -2
Cancel the CF of 2
-3 + b = -2
Move the terms without b to the right
b = -2 + 3
b = 1
Now we substitute our values of the slope and y-int into y = mx + b to find the equation.
y = -3/2x + 1
X = 213.075
First you have to get rid of the 4 and since it’s multiplying you to the opposite and that’s dividing.
-3.7 divided by 4 = -0.925
X - 214 = -0. 925
Then you add 214 to -0.925 and get 213.075
The correct answer is <em><u>-0.6</u></em> which in fraction form is <u><em>-3/5</em></u>
Your answer is <u><em>C. -3/5</em></u>
Answer:

Step-by-step explanation:
