F(x) = x^2 + 4x - 12
x-intercepts are the values of x when y = 0
x^2 + 4x - 12 = 0
(x - 2)(x + 6) = 0
x - 2 = 0 or x + 6 = 0
x = 2 or x = -6
Therefore the x-intercepts are (-6, 0), (2, 0)

4 0

3 years ago

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Four glasses of milk and 3 snack bars have a total of 74 carbohydrates (carbs), and 3 glasses of milk and 4 snack bars have a to

Korvikt [17]

Answer: Snack=10carbs. Milk=11carbs

Step-by-step explanation:

(4x11)+(3x10)= 74

(3x11)+(4x10)= 73

6 0

3 years ago

Line z passes through the points (-6, 2) and (-1, -4), as shown below. Which of the following could be the equation of a line th

WARRIOR [948]

Answer:

D. y = x + 4

Explanation:

5 0

3 years ago

I have <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20%20%5Cfrac%7B5%7D%7Bx%7D%20" id="TexFormula1" title=

mojhsa [17]

$\bf \cfrac{dx}{dt}=\cfrac{5}{t}\quad ,\quad x(0)=7\to 
\begin{cases}
f(t)=0\\
t=7
\end{cases}\\\\
-----------------------------\\\\
\displaystyle \int \cfrac{5}{t}\cdot dt\implies 5\int \cfrac{1}{t}\cdot dt\implies 5ln|t|+C= f(t)
\\\\\\
\textit{now, we know when f(t)=0, t=7}\implies 5ln|7|+C=0
\\\\\\
C=-5ln(7)
\\\\\\
thus\implies \boxed{5ln|t|-5ln(7)=f(t)=x}$

notice |7| 7 is positive, so we can simply remove the bars and use 7 by itself

6 0

3 years ago