(k - 1)(k - 4)
Use FOIL to solve this.
First
k * k
Outer
k * -4
Inner
-1 * k
Last
-1 * -4
k^2 - 4k - 1k + 4
k^2 - 5k + 4 is the trinomial.
Answer:
Coordinate of E: (-2,3) Coordinate of G: (2.5, 1.5)
Step-by-step explanation:
You first have to find the midpoints of AC and AB.
AC X coordinate:
X1+X2/2
Substitute the x points of AC in
1+(-5)/2=-2
AC Y coordinate:
Y1+Y2/2=3
Substitute the y points of AC in
5+1/2=3
You do the same thing with the AB line. I am pretty sure this works and I hope this helps!
Answer:
I believe the answer would be 20 miles max for one passenger.
Step-by-step explanation:
This is because if you create an equation out of this, knowing that only one passenger will be riding, you will get:
$3.00+$1.25x=$28 ($3 added too $1.25 times the number of miles (x) which equals the total amount you have ($28)).
x being the number of miles (so we need to calculate for x)
$3 + $1.25x = $28
-subtract 3 on both sides-
$1.25x=$28-$3
$1.25x=$25
-divide by 1.25 on both sides-
x=$25/$1.25
x=20 miles
Not sure if all calculations are correct, but I hope this helps :)!
9514 1404 393
Answer:
(a) none of the above
Step-by-step explanation:
The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.
The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)
This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."
This function has a=1, b=1, and c=3. The minimum of the function is where ...
x = -b/(2·a) = -1/(2·1) = -1/2
This value is not listed among the answer choices, so the correct choice for this function is ...
none of the above
__
The attached graph of the function confirms that the minimum is located at x=-1/2
_____
<em>Additional comment</em>
When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.
Answer:
7:3
Step-by-step explanation:
The number of yellow marbles: the number of blue marbles