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3 years ago

11

Solve 15x + 2 = 47 (what is the value of the variable “x?”) *

2 answers:

Dima020 [189]3 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

$15x + 2 = 47 \\ 15x = 47 - 2 \\ 15x = 45 \\ x = \frac{45}{15} \\ x = 3$

aleksandr82 [10.1K]3 years ago

7 0

Answer:

x=3

Step-by-step explanation:

47-2 then divide by 15

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Solve this equation using the radical equation method

Yuki888 [10]

The domain:
$3x+6\geq0\ \ |-6\\3x\geq-6\ \ \ |:3\\x\geq-2\\\\D:x\in\left< -2;\ \infty\right)$

$2x=\sqrt{3x+6}-1\ \ \ |+1\\\\2x+1=\sqrt{3x+6}\ \ \ \ |^2\\\\(2x+1)^2=\left(\sqrt{3x+6}\right)^2\ \ \ |use:\ (a+b)^2=a^2+2ab+b^2\\\\(2x)^2+2\cdot2x\cdot1+1^2=3x+6\\\\4x^2+4x+1=3x+6\ \ \ \ |-3x-6\\\\4x^2+x-5=0\\\\4x^2-4x+5x-5=0\\\\4x(x-1)+5(x-1)=0\\\\(x-1)(4x+5)=0\iff x-1=0\ \vee\ 4x+5=0\\\\x=1\ \vee\ 4x=-5\\\\x=1\in D\ \vee\ x=-1.25\in D$

$Answer:\ \boxed{x=-1.25\ \vee\ x=-1}$

6 0

2 years ago

Write the equation in slope-intercept form then change it to standard form with integer coefficients.

SCORPION-xisa [38]

Answer:

1. Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

2. Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

3. Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

Step-by-step explanation:

Slope intercept form: $y = mx + b$

where:

$y$ = y-coordinate
$m$ = slope
$x$ = x-coordinate
$b$ = y-intercept

Standard form: $Ax + By = C$

$\textsf{1. as} \ m=2: \ \ y = 2x + b$

$\textsf{at} \ (6, 8): \ \ 8 = 2(6) + b$

$\implies b = -4$

Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

$\textsf{2. as} \ \ m = \dfrac12: \ \ y = \dfrac12x + b$

$\textsf{at} \ (4, 1): \ \ 1 = \dfrac12(4) + b$

$\implies b = -1$

Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

$\textsf{3. as} \ \ m = \dfrac45: \ \ y = \dfrac45x + b$

$\textsf{at} \ (1,5): \ \ 5 = \dfrac45(1) + b$

$\implies b = \dfrac{21}{5}$

Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

7 0

2 years ago

Ryann planned on swimming 14 miles. Instead, he was only able to swim 1/4 of that distance. How many miles did Ryan swim?

mote1985 [20]

Hey there,

Given the question it shows that Ryann swam 1/4 of 14 miles that he was supposed to swim.

In words of is another way to say 1/4 * 14...

14/4

This expressed as a mixed number would be...

3 and 2/4 or 3 1/2

Of the 14 miles that Ryann was supposed to swim he swam 3 1/2 miles.

Hope I helped,

Amna

8 0

2 years ago

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The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are their present ages?

Thepotemich [5.8K]

Sally is 45 and Beth is 15.

45 + 15 = 60

15*3 = 45

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2 years ago

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the rain began very slowly, then got much heavier and finally tapered off. which graph models the situation

Virty [35]

Where’s the model????

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3 years ago

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