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3 years ago

Explain why the graph of quadratic function could not contain both a minimum vertex and a maximum vertex at the same time.

1 answer:

5 0

Start with the general equation of the quadratic in vertex form. It is U shaped and will open upward or downward depending on the value of "a." This particular graph produces a quadratic or a parabola.

y = a(x - b)^2 + c

"a" is the constant that will determine which way the parabola opens. It it is minus, the quadratic has a maximum at (b,c) assuming b and c are both greater than 0.

If a > 0 then (b,c) is a minimum and the parabola opens upward.
If a = 0 then the x^2 term does not exist and the parabola does not exist.

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Given the arithmetic sequence shown below, write a recursive rule for the sequence. -4,4,12, 20,

damaskus [11]

We can see that the difference is 8 so we can write:

$a_n=a_{n-1}+8$

8 0

3 years ago

On one day a pet store sells 2 birds 6 gerbils 3 fish and 3 hamsters whats the data and relative frequency as a percent?

bonufazy [111]

Answer:

Birds $F_b=14.3\%$

Gerbils $F_g=42.9\%$

Fish $F_f=21.4\%$

Hamsters $F_h=21.4\%$

Step-by-step explanation:

From the question we are told that:

Sales

Number of birds $n_b=2$

Number of gerbils $n_g=6$

Number of fish $n_f=3$

Number of hamsters $n_h=3$

Generally the frequency for birds $F_b$ is mathematically given b

$F_b=\frac{n_b}{n}*100$

$F_b=\frac{2}{14}*100$

$F_b=14.3\%$

Generally the frequency for Gerbils $F_g$ is mathematically given b

$F_g=\frac{n_g}{n}*100$

$F_g=\frac{6}{14}*100$

$F_g=42.9\%$

Generally the frequency for fish $F_f$ is mathematically given b

$F_f=\frac{n_f}{n}*100$

$F_f=\frac{3}{14}*100$

$F_f=21.4\%$

Generally the frequency for fish $F_h$ is mathematically given b

$F_h=\frac{n_h}{n}*100$

$F_h=\frac{3}{14}*100$

$F_h=21.4\%$

5 0

3 years ago

Ronaldo scores approximately one goal every 98 minutes. If he scored 42 goals, about how many minutes did he play for?

Sliva [168]

Answer:

He spent about 68.6 hours or 4116 minutes

Step-by-step explanation: If my math is totally off sue me

5 0

3 years ago

7) What is the range of the function f(x) = (x + 3)^2 + 4?

polet [3.4K]

Here is your answer and result

Have a nice day

4 0

2 years ago

Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters. Use penci

eimsori [14]

Answer:

1.) Circumference of circle A = 131.95 metre

2.) Circumference of circle B = 175.93 metre

3.) Yes. Radius is proportional to the circumference.

Step-by-step explanation: Given that Circle A has a radius of 21 meters and Circle B has a radius of 28 meters

Circumference of a circle = 2πr

For circle A

Radius r = 21

Circumference = 2 × 3.143 × 21

Circumference = 131.95 metre

For circle B

Circumference = 2 × 3.143 × 28

Circumference = 175.93 metre

Is the relationship between the radius of a circle and the distance around the circle the same for all circles? YES

Because the radius of the circle is proportional to the distance around them ( circumference ) for all the circle. That is, the larger the radius, the larger the circumference

6 0

3 years ago