Answer:
-4m-17
Step-by-step explanation:
g(2m+7) = -2*(2m+7) -3
= -4m -14 -3
= -4m -17
Answer:
D: y = 3x² - 5x - 2
Step-by-step explanation:
The general form of a quadratic equation is: y = ax² + bx + c
c is the y-intercept
We are given the point (0, -2) which is the y-intercept, so we can rewrite our general form into
y = ax² + bx - 2
We can create a system of equations to solve for a and b. We are given two points.
Equation 1: Take the first point (-2, 20) and plug it into our general equation...
20 = a(-2)² + b(-2) - 2
20 = 4a - 2b - 2
22 = 4a - 2b (add 2 to both sides)
11 = 2a - b (divide both sides by 2 since every coefficient is even)
Equation 2: Take the point (1, -4) and plug it into the general equation
-4 = a(1)² + b(1) - 2
-4 = a + b - 2
-2 = a + b
Now we have our 2 equations:
11 = 2a - b
-2 = a + b
Since the coefficients of b are already have opposite signs, add the two equations together (elimination method)
Now we have
9 = 3a now solve for a...
3 = a (divide by 3 on both sides)
If a = 3, then
-2 = 3 + b
-5 = b
Our equation is
y = 3x² - 5x - 2
Answer:
(a) 
(b) Here the intercept means that we pay
more than
for each text message received
(c) 145 text messages sent and 30 messages received
75 text messages sent and 50 messages received
180 text messages sent and 20 messages received
Step-by-step explanation:
Here we have
X×0.02 + Y×0.07 = 5
Therefore the equation is

b. Here the intercept means that we pay
more than
for each text message received
c. Other combinations are
145 text messages sent and 30 messages received
75 text messages sent and 50 messages received
180 text messages sent and 20 messages received.
1-) isolate the radical symbol on one side of the equation
2-) square both sides of the equation to eliminate the radical symbol