Answer:
7
Step-by-step explanation:
The x-intercept is the x-value when y=0, so we plug in y=0,
x=-2(0)+7
x=0+7
x=7
So the x-intercept is 7
Answer:
slope = 2 and y- intercept = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (2, 2)
m =
=
= 2
The y- intercept is the value of the y- coordinate at the point where the line crosses the y- axis, that is
y- intercept = - 2
Answer:
![\large\boxed{(2x-5)(3x^2-4x+2)=6x^3-23x^2+24x-10}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%282x-5%29%283x%5E2-4x%2B2%29%3D6x%5E3-23x%5E2%2B24x-10%7D)
Step-by-step explanation:
![\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x-5)(3x^2-4x+2)\\\\=(2x)(3x^2)+(2x)(-4x)+(2x)(2)+(-5)(3x^2)+(-5)(-4x)+(-5)(2)\\\\=6x^3-8x^2+4x-15x^2+20x-10\\\\\text{combine like terms}\\\\=6x^3+(-8x^2-15x^2)+(4x+20x)-10\\\\=6x^3-23x^2+24x-10](https://tex.z-dn.net/?f=%5Ctext%7BUse%20FOIL%3A%7D%5C%20%28a%2Bb%29%28c%2Bd%29%3Dac%2Bad%2Bbc%2Bbd%5C%5C%5C%5C%282x-5%29%283x%5E2-4x%2B2%29%5C%5C%5C%5C%3D%282x%29%283x%5E2%29%2B%282x%29%28-4x%29%2B%282x%29%282%29%2B%28-5%29%283x%5E2%29%2B%28-5%29%28-4x%29%2B%28-5%29%282%29%5C%5C%5C%5C%3D6x%5E3-8x%5E2%2B4x-15x%5E2%2B20x-10%5C%5C%5C%5C%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D6x%5E3%2B%28-8x%5E2-15x%5E2%29%2B%284x%2B20x%29-10%5C%5C%5C%5C%3D6x%5E3-23x%5E2%2B24x-10)
B=5
Hope this helps!
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