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dangina [55]
3 years ago
10

For all functions of the form f(x) = ax^2 + bx + c, which is true when b=0

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

The y-intercept will always be the vertex of the function.

Step-by-step explanation:

The functions with the following form f(x) = ax^2 + bx + c are quadratic equations and have a parabolic form, which means the have a vertex. The x coordinate of the vertex is given by the following expression x = \frac{-b}{2*a}. When b is equal to zero, the vertex of the function will always be the y-intercept, therefore the correct answer is the third one.

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how do you find the volume to the nearest cubic in of a cone whose radius is 12 in and hieght is 15 inches
11Alexandr11 [23.1K]
You have to know the formula for the volume of a cone.
In high school, there's no other way.

Volume of a cone = (1 / 3) π (radius)² (height)

Volume = (1 / 3) π (12 inches)² (15 inches)

Volume = 720 π = 2,261.95 cubic inches

Rounded to the nearest cubic inch, that's<u> 2,262 cubic inches</u>.
6 0
3 years ago
Read 2 more answers
Name a pair of vertical and adjacent angles in each figure. Find m&lt;1
Grace [21]

Answer:

80 degrees

Step-by-step explanation:

Vertical angles are congruent, meaning that if a vertical angle is 80 degrees, the other vertical angle is 80 degrees; they have the same angle measure.

m < 1 = 80 degrees

3 0
2 years ago
The rhombus has vertices K(w, 0), M(w, v), and L(u, z). Which of the following could be coordinates of N?
Vitek1552 [10]

the answer would be the third choice which is N(0, z)

3 0
3 years ago
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A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.
tatyana61 [14]

Answer:

(a)g(n)=0.05\cdot 2^n

(b)g^{-1}(n)=\log_{2}20g(n)

(c)43 times

Step-by-step explanation:

<u>Part A</u>

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n

<u>Part B</u>

<u />g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)<u />

<u />

<u>Part C</u>

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

3 0
3 years ago
Find the mean and median of the data set.
zhuklara [117]

Answer:

Mean: 50.8 or 51 (rounded)

Median: 51.5 or 52 (rounded)

Step-by-step explanation:

To find the mean I added all the numbers then divides my sum but the number of numbers.

To find the median I listed the numbers from least to greatest.There are two middle numbers so I added the two numbers and divided the same by 2.

3 0
3 years ago
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