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2 years ago

Question is in picture

Mathematics

1 answer:

Papessa [141]2 years ago

8 0

Answer:

casino see v

Step-by-step explanation:

j:)

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I need number 22 answered

pochemuha

Answer:

y = -7.5 I believe

Step-by-step explanation:

6 0

3 years ago

A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s.

Semenov [28]

Answer:

y = 240 cm crawl

x = 120 cm walking

Step-by-step explanation:

Logic....

8 0

3 years ago

Given that f(x) = 6x + 2 and g(x) =2x+4 over 5 solve for g(f(1))

Lady bird [3.3K]

F(1)=6(1)+2
= 6+2
=8

g(f(1))= 2x/5 +4/5
= 2(8)/5 +4/5
= 16/5 +4/5
= 20/5
=4

6 0

3 years ago

On Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Th

erastova [34]

Answer:

The price at the end of the week is $33.

Step-by-step explanation:

We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.

The price of a company’s stock on Monday = $30 per share

So, the mathematical statement that represents the situation is given by;

Price of company’s stock on Monday = $30

On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday

= $30 - $3 = $27

On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday

= $27 + $7 = $34

On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday

= $34 + $3 = $37

On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday

= $37 - $4 = $33

Hence, the price at the end of the week is $33.

8 0

3 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

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

7 0

3 years ago