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3 years ago

One less than 8 times a number is the same as the number plus 13

Mathematics

2 answers:

8_murik_8 [283]3 years ago

6 0

Answer:

the number is X=2

Step-by-step explanation:

Suppose number is X

8X-1 =X+13

8X-X= 13+1

7X=14

X=2

Neko [114]3 years ago

3 0

Answer:

8n-1= 13+n is the equation, n=2 is the answer for the variable.

Step-by-step explanation:

8n-1= 13+n

Move the variable to one side.

8n-1= 13+n

-1n -1n

7n-1= 13

Now, add to both sides, since that is the opposite of subtracting.

7n-1= 13

+1 +1

Then, divide to both sides by 7 to leave the variable by itself.

7n= 14

7 7

n= 2

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PLEASE HELP ASAP!! WORDED QUADRATIC QUESTIONS!!!

Roman55 [17]

Answer:

x² - 5x = 14

x = -2 or x = 7

Step-by-step explanation:

x² - 5x = 14

x² - 5x - 14 = 0

(x+2)(x-7) = 0

x = -2 or x = 7

4 0

2 years ago

A circular mirror has a diameter of 12 inches. And a circular frame that is 3 inches wide surrounds the mirror. What is the comb

Lapatulllka [165]

Answer:

254.5 in.^2

Step-by-step explanation:

diameter of mirror = 12 in.

radius of mirror = diameter/2 = 13 in. / 2 = 6 in.

frame width = 3 in.

radius if combined mirror and frame = 6 in. + 3 in. = 9 in.

A = (pi)(r^2)

A = 3.14159 * (9 in.)^2

A = 3.14159 * 81 in.^2

A = 254.5 in.^2

8 0

2 years ago

Help help I don’t really get this???

insens350 [35]

Answer:

Question 4: $y=\displaystyle -\frac{4}{5}x$

Question 5: $y=-5x-3$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

Question 4

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$ where two points that pass through the line are $(x_1,y_1)$ and $(x_2,y_2)$

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

$\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}$

Therefore, the slope of the line is $\displaystyle -\frac{4}{5}$ . Plug this into $y=mx+b$ as the slope (m):

$y=\displaystyle -\frac{4}{5}x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (b) is 0. Plug this into $y=\displaystyle -\frac{4}{5}x+b$ :

$y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x$

Question 5

1) Determine the slope (m)

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

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

$\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5$

Therefore, the slope is -5. Plug this into $y=mx+b$ :

$y=-5x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (b) is -3. Plug this into $y=-5x+b$ :

$y=-5x+(-3)\\y=-5x-3$