Answer:
Kindly check explanation
Step-by-step explanation:
Given the question :
Jane evaluates x squared minus 3 x + 5 for x = negative 2 below. Step 1: (negative 2) squared minus 3 (negative 2) + 5 Step 2: Equals negative 4 + 6 + 5 Step 3: Equals 7 What, if any, was Jane's mistake?
Jane's evaluation :
x² - 3x + 5 for x = - 2
Step 1:
(-2)² - 3(-2) + 5
Step 2:
-4 + 6 + 5
Step 3 :
= 7
Jane's mistake was in STEP2,
evaluating (-2)² = 4 and not - 4
Hence, (-2)² - 3(-2) + 5
= 4 + 6 + 5
= 15
Soup b; no
soup c; yes
soup d; no
soup e; yes
Answer:
A linear equation in the slope-intercept form is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Now, we know that the rate of change (the slope) is -5
Then we just replace a by -5
y = -5*x + b
Now we also know that this line passes through a point, and the point is (3, 0)
This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.
Replacing these values in our equation we get:
0 = -5*3 + b
0 = -15 + b
15 = b
Now we know the value of b, so we can replace it in the line equation to get:
y = -5*a + 15
Which is the complete equation of the line.
