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2 years ago

6

2x =56 2x = 58 2x = 204 2x = 304

1 answer:

Lady_Fox [76]2 years ago

6 0

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3. Sam and Tim each have savings accounts. Every month they each put in some of their

Setler [38]

Answer:

$y = 30x +50$ --- Sam

$y = 20x +80$ --- Tim

Step-by-step explanation:

Given

Sam Tim

х --- f(x) --------------- g(x)

1 --- 80 --------------- 100

2 --- 110 --------------- 120

3 --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,80)$

$(x_2,y_2) = (4,170)$

Next, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{170 - 80}{4 - 1}$

$m = \frac{90}{3}$

$m = 30$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 80 = 30(x - 1)$

$y - 80 = 30x - 30$

Make y the subject

$y = 30x - 30 + 80$

$y = 30x +50$

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,100)$

$(x_2,y_2) = (4,160)$

Next, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{160 - 100}{4 - 1}$

$m = \frac{60}{3}$

$m = 20$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 100 = 20(x - 1)$

$y - 100 = 20x - 20$

Make y the subject

$y = 20x - 20+100$

$y = 20x +80$

7 0

2 years ago

Plz help me<br> Thank you.

spin [16.1K]

Answer:

A

Step-by-step explanation:

6 0

2 years ago

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Find three things in a kitchen that you can measure the time of in minutes

Leviafan [203]

Microwave, oven, coffee maker

8 0

3 years ago

Read 2 more answers

Urgent help needed...............

andreyandreev [35.5K]

Answer:

Option b is correct

$\{x | x \neq \pm 7, x\neq 0\}$ .

Step-by-step explanation:

Domain is the set of all possible values of x where function is defined.

Given the function:

$h(x) = \frac{9x}{x(x^2-49)}$

To find the domain of the given function:

Exclude the values of x, for which function is not defined

Set denominator = 0

$x(x^2-49) = 0$

By zero product property;

$x = 0$ and $x^2-49= 0$

⇒x = 0 and $x^2 =49$

⇒x = 0 and $x = \pm 7$

Therefore, the domain of the given function is:

$\{x | x \neq \pm 7, x\neq 0\}$

7 0

2 years ago

Read 2 more answers

1. Type mmnn using exponents.

kompoz [17]

Step-by-step explanation:

$\bold{1.}\\\\\ mmnn=m^2n^2=(mn)^2\\\\\bold{2.}\\\\3x=5+7\\3x=12\qquad\text{divide both sides by 3}\\x=4\\\\\bold{3.}\\\\\dfrac{x}{3}=7\qquad\text{multiply both sides by 3}\\x=21\\\\\bold{4.}\\\\0.5x=12\qquad\text{multiply both sides by 2}\\1x=24\\x=24\\\\\bold{5.}\\\\4x-6=2x+4\qquad\text{add 6 to both sides}\\4x=2x+10\qquad\text{subtract 2x from both sides}\\2x=10\qquad\text{divide both sides by 2}\\x=5$

$\bold{6.}\\\\3x^2\ for\ x=6\ /\text{put x = 6 to the expression}/\\\\3(6)^2=3(36)=108\\\\\bold{7.}\\\\3y^2+2y\ for\ y=3\ /\text{put y = 3 to the expression}/\\\\3(3)^2+2(3)=3(9)+6=27+6=33$

7 0

3 years ago

Read 2 more answers