Answer:
a. y = 3 × (x + 2)(x - 8)
b. y = 3·(x - 3)² - 75
c) y = 3·x² - 18·x - 48
Step-by-step explanation:
The x-intercept of the quadratic equation are (-2, 0), (8, 0)
The stretch of the quadratic equation = 3
We have;
a. The factored form y = 3 × (x + 2)(x - 8)
b. From the vertex form, we have;
y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48
y = 3·x² - 18·x - 48
The vertex form a(x - h)² + k
Where;
h = -b/(2·a) = 18/6 = 3
h = 3
k = c - b²/(4·a) = -48 - (18²)/12 = -75
The vertex form 3·(x - 3)² - 75
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
<span>From the problem, you can get this equation:
Jane is 2 years older than Sally
J=z+2
David is 4 times older than Jane.
D=4J
</span>Write two equivalent expressions that represent David’s age in terms of Sally’s age, z, and explain how the two expressions relate to one another.<span>Sally is z years old.
From the 2 equation above, you can get:
</span>D=4J
D=4(z+2)
D=4z+8
D-8=4z
(D-8)/4=z
The two equivalent expression would be D=4z+8 and (D-8)/4=z
The expression that more usefull would be D=4z+8 if you want to determine David age.
Answer:
mean = To find it, add together all of your values and divide by the number of addends
mode = number that appears most often is the mode.
median = The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest.
range = difference between the largest and smallest values
Answer: z = 6i / (4+3i)
Step-by-step explanation: Rectangular form:
z = 0.72+0.96i
Angle notation (phasor):
z = 1.2 ∠ 53°7'48″
Polar form:
z = 1.2 × (cos 53°7'48″ + i sin 53°7'48″)
Exponential form:
z = 1.2 × ei 0.2951672
Polar coordinates:
r = |z| = 1.2 magnitude (modulus, absolute value)
θ = arg z = 53.1301° = 53°7'48″ = 0.2951672π angle (argument or phase)
Cartesian coordinates:
Cartesian form of imaginary number: z = 0.72+0.96i
Real part: x = Re z = 0.72
Imaginary part: y = Im z = 0.96
Hope this helps!
I am joyous to assist you anytime.
~Jarvis
Answer:
x = 7.9
Step-by-step explanation:
Given:
Angle - 44
Hypotenuse - 11 ft
adjacent side - x
having adjacent and hypotenuse use Cosine to solve the problem from
S-oh C-ah T-oa
cos (angle) = adjacent / hypotenuse
**Make sure your calculator is in degree mode**
cos 44 = x/11
if you cross multiply, you get
11 cos 44 = x
or to solve for x you would multiply both sides by 11 and get
11 cos 44 = x
x = 7.9