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3 years ago

In functions, what does (x+2)(x-4) equate to?

Mathematics

1 answer:

dimaraw [331]3 years ago

6 0

Answer:

f(x) = x^2 -2x -8

Step-by-step explanation:

(x+2)(x-4)

FOIL

first: x*x = x^2

outer: -4x

inner: 2x

last: 2*-4x = -8

Add together

x^2 +2x-4x-8

x^2 -2x -8

This is a parabola

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Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidenc

quester [9]

Answer: 18

Step-by-step explanation:

The formula to find the minimum sample size is given by :_

$n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = population standard deviation.

z*= critical z-value.

E= Margin of error.

Given : $\sigma= 13$

E= ± 8

We know that critical value corresponding to 99% confidence level = z*=2.576 [Using z-table]

Then, the required sample size would be :

$n=(\dfrac{(2.576)\cdot (13)}{8})^2$

$\Rightarrow\ n=(4.186)^2$

$\Rightarrow\ n=17.522596\approx18$ [Round to next integer.]

Hence, the required minimum sample size = 18

4 0

3 years ago

If there are:

wolverine [178]

Answer:

total number of marble=22

probability of picking 1 blue marble= 1/22 

 =45×10^-2

probability of getting a green ball= 5/21

 = 238×10^-3

 

4 0

2 years ago

PLEASE HELPP !! The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy knows the diagonal of the

EleoNora [17]

Answer:

a) d = 36 ft. ( using Pithagoras´theorem )

b) d = 36 ft ( Using ( function sin ) trigonometry

Step-by-step explanation:

a) Using Pythagoras´Theorem:

Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d² = a² + b²

In this particular case a = b = 25 feet then

d² = (25)² + ( 25)²

d = √ 2 * (25)²

d = √2 * 25

d = 1,414*25

d = 35,35

d = 36 ft.

b) Using trigonometry:

We know that sin 45° = cos 45° = √2 / 2

In a right triangle

sin α = opposite side / hypothenuse (d)

sin 45° = √2 / 2 = 25/ d

√2 *d = 2* 25

d = 50/√2

d = 50 / 1,414

d = 35,36

d = 36 ft

6 0

3 years ago

Please help ASAP 40 pts

natali 33 [55]

Answer:

x=2

Step-by-step explanation:

We know AC = BC since this is an isosceles triangle

6 = 2x+2

Subtract 2 from each side

6-2 =2x+2-2

4 =2x

Divide each side by 2

4/2 =2x/2

2=x

4 0

3 years ago

Read 2 more answers

Eight people go to a movie. Adult tickets cost $15 and children's tickets cost $8

Reptile [31]

Answer: number of adults = 3, number of children = 5

Step-by-step explanation:

let the number of adults be x, and the number of children be y.

x + y = 8 , 15x + 8y = 85

1st equation x 8 = 8x + 8y = 64

$8x+8y-15x-8y = 64 - 85\\-7x = -21\\x=3$

substitute x=3

$3+y=8\\y=5$

5 0

2 years ago

In functions, what does (x+2)(x-4) equate to? ​

In functions, what does (x+2)(x-4) equate to?