log8 (x(x + 6)) = log8 (5x+12)
Please help me!
Answers
x^2 + x - 12 = 0
(x+4)(x-3)=0
x=3, x=-4
However we can only do logs of positive number and when -4 is substituted into the equation it gives a negative number so the only true solution is x=3
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Function 1: y = 4x + 5Function 2: The line passing through the points (1, 6) and (3, 10). Which of these functions has the greater rate of change? A) Function 1, because the slope is 5 and the slope of function 2 is 4. B) Function 1, because the slope is 4 and the slope of function 2 is 2. C) Function 2, because the slope is 7 and the slope of function 1 is 5. D) Function 2, because the slope is 5 and the slope of function 1 is 4.
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Write the missing fraction (numbers) to complete the multiplication fact. __ × 1/4 = 7/8
Answers
A = a * P / 2, where a is an apothem and P is a perimeter.
P = 8 * 8 m = 64 m
A = 9.7 m * 64 m / 2
A = 620.8 / 2 m²
A = 310.4 m²
Answer:
The area of a regular octagon is 310.4 m².
Answers
For this case we have the following function:
We rewrite the function making distributive property.
We have then:
To find the vertex of the function, we derive:
We equal zero and clear the value of x:
We evaluate the function for the value of x obtained:
Then, the vertice of the parabola is:
Answer:
the vertex of the quadratic function f(x)=(x-6)(x+2) is:
Answers
Answer:
Talia swims about 1.52 miles per hour faster than Alina.
Step-by-step explanation:
Alina is able to swim at a rate of about 2.5 miles per hour.
Talia is able to swim at a rate of 1.8 meters per second.
First we will change meters per second into miles per hour.
1 mile= 1609.34 meters
1 hour = 3600 seconds
So, 1.8 meters per second will be =
= 4.02 miles per hour.
Now, the difference between their rates is = miles per hour.
Therefore, Talia swims about 1.52 miles per hour faster than Alina.
Answers
Answer:
a) Which item’s price was reduced by more, and by how many dollars more was it reduced?
The DVD player's price was reduced more by $3.82 than the stereo tuner's price.
b) Round all dollar values to the nearest cent.
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
The DVD player's price was reduced by 382 cents more than the stereo tuner's price
Step-by-step explanation:
Lets day the original price of the DVD player was $100
We are told the price was marked down to 36%
36% of $100 = $36
$100 - $36 = $64
We are told the DVD cost $41.60 after the markdown.
Original cost of DVD =
$41.60/$64 × 100 = $65
Lets the original price of the Stereo player was $100
We are told the price was marked down to 22%
22% of $100 = $22
$100 - $22 = $78
We are told the DVD cost $69.42 after the markdown.
Original cost of Stereo =
$69.42/$78 × 100 = $89
DVD = $65 - $41.60 = $23.40 less
Stereo = $89 - 69.42 = $19.58 less
Difference between the DVD and the Stereo is
$23.40 - $19.58 = $3.82
Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
Answer:
The answer is A on edg 2020
Step-by-step explanation:
Answers
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
The graph of f(x) = x2 is made narrower
A. The graph of f(x) = x2 is made narrower.
I took the test and that was the answer i got.
B. decrease the room temperature by 12°C
C. decrease the room temperature by 33°F
D. increase the room temperature by 18 K 2. Jim, Jane, Ann, and Bill measure an object’s length, density, mass, and volume, respectively. Which student’s measurement might be in liters?
A. Bill’s
B. Jim’s
C. Jane’s
D. Ann’s
Answers
1) Since 1°F= 9/5 (K - 273) + 32) after the calculus we find 1°F = 255.9 K
The answer is A. increase the room temperature by 22°F, because 55° F + 22° F = 77° and 77° F = 298.1K,
2) The answer is A: Bill’s. Bill has measured the object’s volume, and the unit of volume is the liter