Part 1 -
1. f(x) = 5(x-2)^2 + 4
axis of symmetry: x = 2
vertex: (2, 4)
2. f(x) = 12(x + 6)^2 - 5
axis of symmetry: x = -6
vertex: (-6, -5)
3. f(x) = 2x^2 + 8x - 7
axis of symmetry: x = -2
vertex: (-2, -15)
I have to go somewhere right now, but I will get back to you as soon as I can (probably within a couple of hours) to finish answering the rest of your questions.
The first step is to quickly factor each of the five equations... to do so, find the right factors of the 3rd given number so that they add up in an equal number to the second number... 14 = -7 • -2 and -9 = -7 + -2
a^2 - 9a + 14 = 0
(a - 7) (a - 2)
a - 7 = 0, a = 7
a - 2 = 0, a = 2
{2,7}
a^2 + 9a + 14 = 0
(a + 7) (a + 2)
a + 7 = 0, a = -7
a + 2 = 0, a = -2
{-2, -7}
a^2 + 3a - 10 = 0
(a + 5) (a - 2)
a + 5 = 0, a = -5
a - 2 = 0, a = 2
{-5, 2}
a^2 - 5a - 14 = 0
(a - 7) (a + 2)
a - 7 = 0, a = 7
a + 2 = 0, a = -2
{-2, 7}
Answer:
I don't have c but I do have a and b
Step-by-step explanation:
Part A)
Angle 3 is 103° because 77° + ∠3= 180° and ∠3 = 180° - 77° = 103°
Part B)
Angle 4 is 77° because ∠3 + ∠4 = 180° and ∠4 = 180° - 103° = 77°
These are the answers for k12
The value of y in the given logarithmic equation is 3. The correct option is C. 3
<h3>Evaluating Logarithmic equation </h3>
From the question, we are to determine the value of y in the given logarithmic equation
The given equation is
By applying one of the laws of logarithm, we get
Now, express 64 in index form,
Since the bases are equal, we can equal the powers to get
3 = y
∴ y = 3
Hence, the value of y in the given logarithmic equation is 3. The correct option is C. 3
Learn more on Logarithmic equations here: brainly.com/question/237323
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Answer:
Here we need to solve:
The sum of the fractions is equal to the quotient between the fractions.
Notice that the two values:
y = 3
y = -3
make the denominator equal to zero, so those values are restricted.
We can simplify the right side to get:
Now we can multiply both sides by (y - 3)
Now we can multiply both sides by (y + 3)
First, let's see the determinant of that quadratic equation:
We can see that it is negative, thus, there are no real solutions of the equation.
Thus, there is no value of y such that the origina equation is true,