Answer:
C
Step-by-step explanation:
We have the equation:
Add 10 to both sides to isolate the equation.
This is not factorable*, so we can use the quadratic formula:
In this case, <em>a</em> = 4, <em>b</em> = 5, and <em>c</em> = 10.
Substitute:
Simplify:
Since we cannot take the root of a negative, we have no real solutions.
Our answer is C.
*To factor something in the form of:
We want two numbers <em>p</em> and <em>q</em> such that <em>pq</em> = <em>ac</em> and <em>p</em> + <em>q</em> = <em>b</em>.
Since <em>ac</em> = 4(10) = 40. We need to find two whole numbers that multiply to 40 and add to 5.
No such numbers exist, so the equation is not factorable.
To find this answer, you would need to find how many miles 1 gallon of gas will take them. To find this, you would do 290÷8=36.25. So with this information, you will be able to find out how much gas it would take to travel 400 miles. You would do 400÷36.25=11.03. 11.03 would be how many gallons of gas is used to travel 400 miles. Hope this helps! ;)
Answer:
48 is your answer
Step-by-step explanation:
just add all of you separte indvisual factors together and you get 48......
Replace X with 3 and simplify. The answer you would get is 11.
Answer:
Below in bold.
Step-by-step explanation:
y = -4x2 + 8x - 13
Divide first 2 terms by -4:-
y = -4(x^2 - 2x) - 13
Convert to vertex form by completing the square:
y = -4[(x - 1)^2 - 1] - 13
y = -4(x - 1)^2 + 4 - 13
y = -4(x - 1)^2 - 9 <---------- Vertex form
y = a(x - j)^2 + k <---------- General form with vertex = (j, k).
So comparing, we see that the vertex is (1, -9).