MATHEMATICS HIGH SCHOOL

Which equation models the rational function show in the graph

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation: on edge

Answer 2

Answer:

Can't give you an answer without the graph.

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A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to the pagoda at the startdashfinish line is d feet. Express the horizontal distance h as a function of d.

Answers

Answer:

The expression of h as function of x is h = $√((d + 5500) (d - 5500))$

Step-by-step explanation:

Given as :

The distance of blimp (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = $(AC)/(BC)$ = $(h)/(d)$

And sin Ф = $(AB)/(BC)$ = $(5500)/(d)$

∵, cos²Ф = 1 - sin²Ф

So, $((h)/(d))^(2)$ = $1 - ((5500)/(d))^(2)$

Or, $((h)/(d))^(2)$ = $((d^(2)- 5500^(2))/(d^(2)))$

Or, h² = d² - 5500²

∴ h = $\sqrt{d^(2)- 5500^(2)}$

Or, h = $√((d + 5500) (d - 5500))$

Hence The expression of h as function of x is h = $√((d + 5500) (d - 5500))$ Answer

Write the vertex form equation for this parabola: Focus (3,-9), Directrix X=-3

Answers

Y=KX+M
-9=(-3/9)*-3+m
-9=1+M
M=-10

Y=(-3/9)-10 is the answer

How do you get the answer 3a -5 from: -3a - (5-6a)?

Answers

The key here is to remember how to get rid of the parentheses.

The 'minus sign' ( - ) before the parentheses says that in order to
get rid of them, you have to change the sign of each term inside.

-3a - (5 - 6a) is the same as

-3a -5 + 6a

Add up the (-3a) and the (+6a) and you have +3a .

So the whole thing becomes 3a - 5 .

$-3a - (5-6a)=-3a-5+6a=3a-5$

buatlah matriks yang terdiri atas 5 baris dan 3 kolom dengan entrinya adalah 15 bilangan prima yang pertama

Answers

$A = \left[\begin{array}{ccccc}2&3&5\n7&11&13\n17&19&23\n29&31&37\n41&43&47\end{array}\right] \n \n \n \n A^T = \left[\begin{array}{ccccc}2&7&17&29&41\n3&11&19&31&43\n5&13&23&37&47\end{array}\right]$

Consider the following system of equations.y = 6x - 6

y - 6x = 5

What can you conclude about the system of equations?

Answers

y = 6x - 6 therefore y - 6x = -6
y - 6x = 5
so:
-6 ≠ 5
There is no solution to this system.
==========================
$\left \{ {{y=6x-6} \atop {y-6x=5}} \right. \n \left \{ {{6x-y=6} \atop {-6x+y=5 }} \right. \n 0 \neq 11$

Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal?

Answers

Call the number of bracelets sold x. Gvien that there are 100 bracelets: x < or equal than 100 Earnings = 5x => 5x > or equal than 300 => x > or equal than 300 / 5 => x > or equal than 60. Then, you obtain 60 < or equal than x < or equal than 300.

Answer:

Amount needed by Zoya to meet her fundraising goal ≥ $ 300

Number of Bracelets possessed by Zoya = 100

Cost of single bracelet = $ 5

To meet her goal , we need to convert these statement into equation

Let number of Bracelets sold = x

1. x≤ 100

2. 5 x ≥ 300

Dividing both sides by 5, we get

x ≥ 60

The two inequality are : x ≤ 100 and x ≥ 60

So the inequality is : 60 ≤ x≤ 100.

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