What you have here is a quadratic polynomial.
The form is: ax^2 + bx + c
C is ALWAYS the y-intercept in non-linear polynomials. So we immediately know the y-intercept to be 1.
For the X-intercept(s), we can solve in a few ways, but let's use the quadratic formula.
The quadratic formula states that y=-b+-((sqrt(b^2-4ac) / 2a).
A = 2
B = 3
C = 1
Plug in your information,
y = (-3 +- 1) / 4
X = -.05
X = -1
Y = 1
X-Intercepts: -.05, -1
Y-Intercepts: 1
Answer:
<h2>Jasmine will walk 1hr:30min before she catches up to Frank</h2>
Step-by-step explanation:
let the distance of the trail be x
and let the time be t
given that franks average speed is 2 miles per hour
the distance covered by Frank is x-3
the time taken by Frank to cover the distance is
we know that speed=distance/time
2=x-3/t
2t=x-3
x=2t+3---------1
Jasmine speed= 4 miles per hour
speed=distance/time
4=x/t
x=4t--------2
equating 1 and 2 above we have
2t+3=4t
solving for t we have
4t-2t=3
2t=3
t=3/2
t=1.5
That is 1hr 30 min
Write which ones it classifies as
5. Area = 2 unit * 7 units = 14 squared units
6. Area = 3 units * 4 units = 12 square units
7 Area = Area of big rectangle + Area of small rectangle = 42 + 15 = 57
8. Area = 1 * 5 + 2*8 = 5 + 16 = 21 square units
Hope that helps!
Answer:
The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).
Step-by-step explanation:
You can see how this factors by looking at the last term, and the coefficient of the second term. You need to find two numbers that multiply to make seven, and add to make eight.
Because seven is a prime number, this becomes very easy. If this works at all, the numbers must be seven and one.
And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use. Let's do it:
x² + 8x + 7
= x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
= (x + 7)(x + 1)
