Answer:
B. 6 cm
Step-by-step explanation:
Answer:
$175
Step-by-step explanation:
Let x represent money saved by her in one month.
So money saved by her in one year (12 months) would be .
We can represent our given information as:
Therefore, she needs to save $175 per month.
9514 1404 393
Answer:
12^18
Step-by-step explanation:
Each exponent tells you the number of times 12 is repeated as a factor. The total number of repetitions of 12 as a factor in this product is ...
3 +9 +4 +2 = 18
The equivalent expression is 12¹⁸.
B. 4 + 12x + 9 = 0
C. 4 - 6x - 9 = 0
C. 4 + 6x + 9 = 0
(Please show how you get the answer)
The equation 4x² + 12x + 9 = 0 has exactly one solution. The correct answer would be an option (C).
The quadratic function is defined as a function containing the highest power of a variable is two.
The solutions to a quadratic equation are found using the quadratic formula, which is:
x = (-b ± √(b² - 4ac)) / 2a
As per option (C),
4x² + 12x + 9 = 0
Compare the given function to the standard quadratic function f(x) = ax² + b x + c.
We get a = 4, b = 12, and c = 9.
The discriminant of the equation,
b² - 4ac = (12)² - 4×4(9) = 144 - 144 = 0
Since the discriminant is zero, this means the equation has only one solution.
Therefore, the equation 4x² + 12x + 9 = 0 has exactly one solution.
Hence, the correct answer would be option (C).
Learn more about the quadratic function here:
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On the highway, Kareem's car gets 38 mpg.
Shu Fang has $25.75 deducted from her checking account every month.
A toad population is increasing by about 7.5% each year.
An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.
Answer: A toad population is increasing by about 7.5% each year.
An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.
Step-by-step explanation:
On the highway, Kareem's car gets 38 mpg.
This can be modeled with a linear relationship between the miles and the gallons of fuel needed.
Shu Fang has $25.75 deducted from her checking account every month.
Here we know that each month a constant amount is deducted from her, this is not an exponential relation.
A toad population is increasing by about 7.5% each year.
If the population initially was an amount P, after one year the population is P*1.075, after two years the population is P*(1.075)^2 and so on, this can be modeled with an exponential function where the years variable, the function will have the general form:
Population(y) = P*(1.075)^y
An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.
If the first year the population is X, the year after the attendance will be (4/5)X, and the year after this process applies again, so you have a 4/5 of the previous attendance, the attendance now is (4/5)^2*X
This also can be modeled with an exponential function, of the shape:
Attendance (y) = X*(4/5)^y, where again, y means years.
The thing you may notice is that in this case the model only works for the lapse of 5 years that the event organizer said.
Answer:
8+8+55+55+88
Step-by-step explanation:
The surface area is the sum of all the sides
We have 5 sides
Top and bottom are the same
The area of the top is
1/2 bh = 1/2 (8)(2) = 8
The left and right sides are the same
The area of the left side is
5*11 = 55
The area of the front is
8*11 = 88
The sum of all the 5 sides are
top + bottom + left + right + front
8+8+55+55+88
Answer:
8 + 8 + 55 + 55 + 88
Step-by-step explanation:
Calculate area of base.
8 × 2 × 1/2 = 8
There are two triangles:
8 + 8
Calculate area of rectangle.
8 × 11 = 88
Calculate the areas of two rectangles.
5 × 11 = 55
55 + 55
Answer: 16
Step-by-step explanation: I divided 11.52 by 0.72