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2 years ago

14

F(x)=x²+2x-5 determine the vertex

2 answers:

Sliva [168]2 years ago

5 0

Answer:

the point -5 is the vertex on the graph because it is the y-intercept.

Step-by-step explanation:

Finger [1]2 years ago

3 0

Answer:-16

dsfgdsggsgdsgsdg

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A youth club organizer is plannning a day trip for the club members. The cost of the trip is $330 and club has already saved $75

alexgriva [62]

Answer:

Step-by-step explanation:

330 = 21x + 75

7 0

2 years ago

The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,

Mama L [17]

Answer:

$(a)\ P(x = 0) = 0.2725$

$(b)\ P(x \ge 1) =0.7275$

$(c)\ P(x \le 2) = 0.8948$

Step-by-step explanation:

Given

$n = 8$ --- 8 friends

$p = 15\%$ --- proportion that one-time fling

This question is an illustration of binomial probability, and it is represented as:

$P(X = x) = ^nC_x* p^x * (1 - p)^{n-x}$

Solving (a): P(x = 0) --- None has done one time fling

$P(x = 0) = ^8C_0* (15\%)^0 * (1 - 15\%)^{8-0}$

$P(x = 0) = 1* 1 * (1 - 0.15)^{8}$

$P(x = 0) = 0.85^8$

$P(x = 0) = 0.2725$

Solving (b): $P(x \ge 1)$

To do this, we make use of compliment rule:

$P(x = 0) + P(x \ge 1) =1$

Rewrite as:

$P(x \ge 1) =1 - P(x = 0)$

$P(x \ge 1) =1 - 0.2725$

$P(x \ge 1) =0.7275$

Solving (c): $P(x\le 2)$ --- Not more than 2 has one time fling

This is calculated as:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

We have:

$P(x = 0) = 0.2725$

$P(x = 1) = ^8C_1* (15\%)^1 * (1 - 15\%)^{8-1}$

$P(x = 1) = 8* (0.15) * (1 - 0.15)^7$

$P(x = 1) = 0.3847$

$P(x = 2) = ^8C_2* (15\%)^2 * (1 - 15\%)^{8-2}$

$P(x = 2) = 28* (0.15)^2 * (1-0.15)^6$

$P(x = 2) = 0.2376$

So:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

$P(x \le 2) = 0.2725 + 0.3847 + 0.2376$

$P(x \le 2) = 0.8948$

4 0

3 years ago

Who could help me solve this?<br><br> Y=log x<br><br> If y=10, then what is x?

Viktor [21]

Step-by-step explanation:

$y = log \: x \\ \\ \therefore \: 10 = log \: x \\ \therefore \: {e}^{10} = x \\ \\ \therefore \: x = {e}^{10} \\$

6 0

3 years ago

Type of transformation maps

Karolina [17]

Types of transhormations.
1. Vertical transformation
2. Horizontal transformation
3. Stretch
4. Shrink

5 0

3 years ago

A wheel has a diameter of 21 inches. <br><br> Approximately how far does it travel in 3 revolutions?

RideAnS [48]

So each 1 revolution it travels the distance around the rim of the wheele aka circumference
circumference=pi times diameter
diameter=21
circunference=pi times 21 or 21pi
so distance=number of revolutions times circunference
number of revolutions=3
subsitute

distance=3 times 21pi
distance=63pi

answer is 63pi
or aprox pi to 3.14 and do 63 times 3.14=197.82
aprox 197.82 inches

5 0

3 years ago