Answer: C) Tracy spends $7 every 4 days
Graphing the function as well as x = 4 will show that there is a difference in the y-value of 7 between x=0 and x=4, meaning she spends $7 every 4 days.
Answer:
Which point would map onto itself after a reflection across the line y = -x? ... What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the ... A triangle has vertices at R(1, 1), S(-2, -4), and T(-3, -3). ... Which shows the image of quadrilateral ABCD after the transformation R0, 90°? a.
Step-by-step explanation:
Answer: x = -7 or x = -4
Step-by-step explanation: When an equation has a squared term in it
such as x² + 11x + 28 = 0, it's called a polynomial equation.
The rule for solving a polynomial equation
is to first set it equal to zero, then factor.
Since this equation is already set equal to zero,
our first step is to factor the left side of the equation.
To factor x² + 11x + 28, we need the factors
of 28 that add to 11 which are 7 and 4.
So we have (x + 7)(x + 4) = 0.
Whenever two terms are multiplied together to equal zero,
this means that either one or the other must equal zero.
So if (x + 7)(x + 4) = 0, then either x + 7 = 0 or x + 4 = 0.
Solving each equation from here, we get x = -7 or x = -4.
So our solution is {-7, -4}.
Answer:
w = 7 cm
Step-by-step explanation:
Volume = 252 cm³
Height, h = 3cm
Let width = w
Length, l = w + 5
Volume of rectangular prism, V = l * w * h
252 = (w + 5) * w * 3
252 = (w + 5) * 3w
252 = 3w² + 15w
3w² + 15w - 252 = 0
w² + 5w - 84 = 0
w² + 12w - 7w - 84 = 0
w(w + 12) - 7(w + 12) = 0
(w + 12) = 0 or (w - 7) = 0
w = - 12 or w = 7
w cannot be negative
Hence, w = 7 cm
8 dogs are still alive because you take away 4 from 12 which equals 8
.