Answer:
1.a=2
2. C x=2 and x=-3
Step-by-step explanation:
The standard form for the quadratic function is
ax^2 +bx+c
so we need to rewrite the function to be in this form
2x^2 -10 = 7x
Subtract 7x from each side
2x^2 -7x-10 = 7x-7x
2x^2 -7x-10 = 0
a =2, b= -7 c=-10
2. The quadratic formula is
-b ± sqrt(b^2 -4ac)
----------------------------
2a
2x^2 + 2x=12
Lest get the equation in proper form
2x^2 + 2x-12 = 12-12
2x^2 +2x-12 =0
a=2 b=2 c=-12
Lets substitute what we know
-2 ± sqrt(2^2 -4(2)(-12))
----------------------------
2(2)
-2 ± sqrt(4+96)
----------------------------
2(2)
-2 ± sqrt(100)
----------------------------
4
-2 ± 10
----------------------------
4
-2 + 10 -2-10
----------- and --------------
4 4
8/4 and -12/4
2 and -3
Answer:
1/3
Step-by-step explanation:
Slope = ( y₂ - y₁ ) ÷ ( x₂ - x₁ )
y₂ = 9
y₁ = 7
x₂ = 4
x₁ = -2
y₂ - y₁ = 9 - 7 = 2
x₂ - x₁ = 4 - -2 = 6
2 ÷ 6 = 1/3
Answer: Peyton
Step-by-step explanation:
Michelle: Greatest common factor is 1
Naomi: Greatest common factor is abc
Olivia: Greatest common factor is 2ab
Peyton: Greatest common factor is ab
Given the equation:
You know that a lab technician finds that a sample of fluid has this pH:
Then, in order to find the hydrogen ion concentration of the fluid, you need to follow these steps:
1. Substitute the pH given in the exercise into the equation:
Multiply both sides by -1:
2. Solve for:
Remember that, by definition:
In this case, you can identify that:
Hence, substituting values and simplifying, you get:
Therefore, the answer is:
