Answer:
the equation is y = -2x + 3.
Step-by-step explanation:
As we move from (0, 3) to (1, 1), x increases by 1 and y decreases by 2.
Hence, the slope of the line connecting these two points is
m = rise / run = -2/1, or just m = -2.
Starting with y = mx + b, and using the point (0, 3) and the slope m = -2, we get an expression for the y-intercept, b:
3 = -2(0) + b. Thus, b = 3, and the equation is y = -2x + 3.
Answer:
-7.3n+8.4
Step-by-step explanation:
combine like terms
Hope this helps! Have a great day!!
Answer: 281.25 milligram
Step-by-step explanation:
Given
Milligrams of aspirin left after t hours is given by
![\Rightarrow a=500(\frac{3}{4})^t](https://tex.z-dn.net/?f=%5CRightarrow%20a%3D500%28%5Cfrac%7B3%7D%7B4%7D%29%5Et)
for ![t=2\ hr](https://tex.z-dn.net/?f=t%3D2%5C%20hr)
![\Rightarrow a=500(\frac{3}{4})^2\\\Rightarrow a=500\times (0.75)^2=281.25\ \text{milligram}](https://tex.z-dn.net/?f=%5CRightarrow%20a%3D500%28%5Cfrac%7B3%7D%7B4%7D%29%5E2%5C%5C%5CRightarrow%20a%3D500%5Ctimes%20%280.75%29%5E2%3D281.25%5C%20%5Ctext%7Bmilligram%7D)
Answer:
Magnesium 24.305 atomic units
Step-by-step explanation:
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
![\spadesuit\; Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}](https://tex.z-dn.net/?f=%5Cspadesuit%5C%3B%20Slope%28m%29%20%3D%20%5Cfrac%7By_1%20-%20y_2%7D%7Bx_1%20-%20x_2%7D)
Given Points are (8 , 30) and (18 , 60)
here x₁ = 8 and x₂ = 18 and y₁ = 30 and y₂ = 60
![\spadesuit\; Slope(m) = \frac{30 - 60}{8 - 18} = \frac{-30}{-10} = 3](https://tex.z-dn.net/?f=%5Cspadesuit%5C%3B%20Slope%28m%29%20%3D%20%5Cfrac%7B30%20-%2060%7D%7B8%20-%2018%7D%20%3D%20%5Cfrac%7B-30%7D%7B-10%7D%20%3D%203)
We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)
Here the line passes through the point (8 , 30)
⇒ x₀ = 8 and y₀ = 30
We found Slope(m) = 3
Substituting all the values in the standard form, We get :
Equation of the line : y - 30 = 3(x - 8)
Let d be the x-intercept of this line
⇒ The line passes through the point (d , 0) as at x-intercept, y-coordinate is zero.
⇒ 0 - 30 = 3(d - 8)
⇒ 3d - 24 = -30
⇒ 3d = -30 + 24
⇒ 3d = -6
⇒ d = -2
⇒ The x - coordinate of the x-intercept of the line is -2