Use the associative property to simplify the expression 50 + 20 + 37

Determine the domain of the function. f as a function of x is equal to thirteen divided by three minus x.

Hitman42 [59]

Answer:

hello :

f(x) = 13/ (x-3)

f(x) exist : x - 3 ≠ 0

x - 3 = 0 : x = 3

the domain of the function : f is D = ]-∞:3[ U] 3;+∞[

6 0

3 years ago

Factor and find the x-intercepts f(x) = x^2– 3x - 4

velikii [3]

Answer:

see explanation

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² - 3x - 4 = 0

Consider the factors of the constant term (- 4) which sum to give the coefficient of the x- term (- 3)

The factors are - 4 and + 1, since

- 4 × 1 = - 4 and - 4 + 1 = - 3, thus

(x - 4)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 1 = 0 ⇒ x = - 1

x- intercepts are (- 1, 0 ) and (4, 0 )

6 0

3 years ago

A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two yea

Flura [38]

Answer: $(0.163,\ 0.189)$

Step-by-step explanation:

The confidence interval for population proportion(p) is given by :-

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = Sample proportion.

n= Sample size.

z* = Critical value.

Let p = Proportion of adults in the U.S. who have donated blood in the past two years.

As per given , we have

n= 2322

Sample proportion of adults in the U.S. who have donated blood in the past two years. : $\hat{p}=\dfrac{408}{2322}\approx0.1757$

By z-table , the critical value for 90% confidence : z*= 1.645

Then, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years will be

$0.1757\pm ( 1.645)\sqrt{\dfrac{0.1757(1-0.1757)}{2322}}$

$0.1757\pm ( 1.645)\sqrt{0.0000623727433247}$

$0.1757\pm ( 1.645)(0.00789764163056)$

$0.1757\pm 0.013$

$=(0.1757- 0.013,\ 0.1757+ 0.013)$

$=(0.1627,\ 0.1887)\approx(0.163,\ 0.189)$

Hence, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years. = $(0.163,\ 0.189)$

5 0

3 years ago

The quantities x and y are proportional

Furkat [3]

Answer:

$r = \frac{1}{4}$

Step-by-step explanation:

Given

The x and y values

Required

Determine the constant of proportionality

This is calculated from:

$y = rx$

Pick any corresponding x and y values:

$x = 8$ and $y = 2$

Substitute 8 for x and 2 for y in $y = rx$

$2 = r * 8$

Make r the subject

$r = \frac{2}{8}$

$r = \frac{1}{4}$

Pick another x and y values:

$x = 16$ and $y = 4$

$r = \frac{4}{16}$

$r = \frac{1}{4}$

<em>Hence, the constant of proportionality is 1/4</em>

8 0

3 years ago

What's (7 x 100) + (4 x /100) + (8 x 1/1000) in standard form?

IceJOKER [234]

Answer:

(7*100) can be written as 7*10^2

4 * / 100 i don’t know

if it was 4 * 100 then it’s 4*10^2

if it was divided then it’s 4*10^-2

8* 1/1000 = 8/1000 = 8*10^-3

add together to get 1.100008 * 10^3 (if it was 4*100)

or 7.00048 * 10^2 ( if it was 4/100)

7 0

3 years ago

Use the associative property to simplify the expression 50 + 20 + 37​

Use the associative property to simplify the expression 50 + 20 + 37