Answer:
No real roots
Step-by-step explanation:
Given
7x² + 5x + 1 = 0 ← in standard form
with a = 7, b = 5, c = 1
To determine the nature of the roots use the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real and distinct
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 then the roots are not real
Here
b² - 4ac = 5² - (4 × 7 × 1) = 25 - 28 = - 3
Thus the 2 roots are not real
16
square root of 16 is 4
4x4=16
Step-by-step explanation:
The average rate of change is constant for a linear function. Another way to state this is that the average rate of change remains the same for the entire domain of a linear function. If the linear function is y=7x+12 then the average rate of change is 7 over any interval selected. y=mx+b , where m is the slope.
<em>https://socratic.org/questions/how-is-average-rate-of-change-related-to-linear-functions</em>
Answer:
–7x + 20
Step-by-step explanation:
(2x2 – 3x)(3x2 + 2x – 1)
(4 – 3x)(2x + 5)
(4*2x) + (4*5) + (–3x*2x) + (–3x*5)
8x + 20 –15x
–7x + 20
Y = mx + b
4 = m(248) + b
6 = m(372) + b
subtract the two equations to get
-2 = m(-124) + 0
m = 1/62
Then plug in m into one of the equations to find b
4 = (1/62)(248) + b
4 = 4 + b
b = 0
So the equation is
y = (1/62)x + 0
or
y = (1/62)x
or
y = x/62
edit: I totally didn't use point slope. It should be
y + 0 = (1/62)(x + 0)
or y = (1/62)x
(since b is 0, that means she started driving directly at home)
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2) 150mi/1.25hr = Xmi/5hr
750mi/1.25 = X
X = 600miles
