What the answer to this

Mathematics

1 answer:

mafiozo [28]4 years ago

4 0

Answer:

A seventh degree polynomial has at least one and at most 7 real roots.

Answer : B. 7

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Last year at a certain high school, there were 50 boys on the honor roll and 100 girls

Sedbober [7]

there were 145 boys on the honor role and 60 girls equally given a total number of 205. This year, the number of boys decreased by 20% = 0.2*145=29

145-29=116

116 is this year number of boys on honor role

For girls.

=0.25*60=15

60-15=45

45 is this year number of girls on honor role.

Total number of students on honor role this year is 116+45 =161

Percentage of decrease = 1 -(161/205)*100% =( 1-0.785)*100

= 0.215*100

= 21.5%

3 0

3 years ago

Read 2 more answers

Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s). John hosts an

Law Incorporation [45]

We know that John is hosting an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. . He estimates that for every $2 increases in the fee, the average number of students reduces by 1.

Therefore, we can conclude that his revenue is $14 * 12$ or $168$ bucks.

The session price goes up in a pattern of 2.

For example, from 12 the session price goes to 14, 16, 18 and so on.

As each jumps goes by 2, the amount of students drop by 1.

(i.e from 14 students the number decreases to 13, to 12 and so on.)

As we can see the revenue begins at 168 and continues upward until it reaches 200 dollars and then starts to descend.

This indicates that the U-turn or vertex of the revenue function is approximately 4200, where h represents 4, and k is 200.

To solve we can use Parabola.

⇒ Parabola: any point is at an equivalent separation from:

a settled point (the concentration ), and

a settled straight line (the directrix )

____________________________________________________

$f (x) = a(x - h)^2 + k$ , where (h, k) is the vertex of the parabola.

⇒ $\left \{ {{y=192} \atop {x=2}} \right.$

⇒ $192 = a(2-4)^2+200$

⇒ $-8=a(-2)^2$

⇒ $-8=a*2^2$

⇒ $-8=a*4$

⇒ $-8=4a$

⇒ $-\frac{8}{4} = \alpha$

⇒ $\alpha = -2$

Now lets do the final step: Simplifying

$y-2(x-4)^2+200$ 

$y=-2(x^2-8x+16)+200$

$y=-2x^2+16x-32+200$

$c(x) = -2x^2+16x+168$

3 0

4 years ago

What is the focus of the parabola

Blizzard [7]

Answer:

(-4,1)

Step-by-step explanation:

The given parabola is

$y = - \frac{1}{4} {x}^{2} - 2x - 2$