Answer:
x = 4 or x = -13/4 = -4.33
Step-by-step explanation:
log (3x - 2) + log (x + 1) = 2 - log 2
Note 2 is also equals to log 100
log (3x - 2) + log (x + 1) = log 100 - log 2
log (3x - 2)(x + 1) = log (100/2)
log 3x² + 3x - 2x - 2 = log 50
log 3x² + x - 2 = log 50
3x² + x - 2 = 50
3x² + x - 2 - 50 = 0
3x² + x - 52 = 0
find the number to multiply that will give you -52 × 3 = -156 and add to give you 1. The numbers are -12 and 13.
3x² - 12x + 13x - 52 = 0
3x(x - 4) + 13( x - 4) = 0
(3x + 13)(x - 4) = 0
x = 4 or x = -13/4 = -4.33
If you insert 4 in the logarithm equation you will see that the left side is equal to the right
log (3x - 2) + log (x + 1) = log 100 - log 2
log 10 + log 5 = log 50
log 50 = log 50
Plugging in the data points into a quadratic regression application, we get the following regression:
y = ax^2 + bx + c,
where:
a= 0.00267857
b= 0.0110714
c= 2.85743
with an R² value of 0.9851
Answer:
180 feet
Step-by-step explanation:
The length of each curtain = 48 inches. Let the length of the curtain in feet be represented by x.
But,
1 inch = 12 feet
So that,
48 inches = x feet
⇒ x =
= 4
Thus,
48 inches = 4 feet
The number of feet of fabric needed for 45 curtains can be determined as:
45 x 4 feet = 180 feet
Therefore, 180 feet of fabric would be needed to make 45 curtains.
Answer: The first and last options are correct.
f(x) = pi/4 cos (pix/5 - pi/2)
f(x) = pi/4 sin (pix/5)
Step-by-step explanation
The graph shows that A = pi/4.
B = 10, so the period = 2pi/10 = pi/5.
sin and cos are cofunctions, so a phase shift of -pi/2 makes the two functions equal to each other.
Hope this helps :)
Answer:
66cm is the area of the rectangle