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2 years ago

What is 1/4b=-3 in linear equations

Mathematics

1 answer:

Nutka1998 [239]2 years ago

3 0

1/4b=-3

Solve for b

1/4b *4 = -3*4
b = -3 *4
b = -12

Answer: b = -12

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A factory makes rods by cutting platic pipes that are 5 feet long into 8 rods. How long is each rod

CaHeK987 [17]

If you divide 8 by 5 you should get 1.6

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3 years ago

5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?

sergeinik [125]

Answer:

$f(x) = x + 3$

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

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

Where $(x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)$

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

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

$m = \frac{0 + 2}{-3 + 5}$

$m = \frac{2}{2}$

$m = 1$

The equation of the line can then be calculated using any of the given points;

Using

$m = \frac{y - y_1}{x - x_1}$

$Where\ (x_1,y_1) = (-5,-2)\ and\ m =1$

We have

$1 = \frac{y-(-2)}{x-(-5)}$

$1 = \frac{y+2}{x+5}$

Multiply both sides by x + 5

$(x+5)*1 = \frac{y+2}{x+5} * (x+5)$

$x + 5 = y + 2$

Subtract 2 from both sides

$x + 5 - 2 = y + 2 - 2$

$x + 3 = y$

$y = x + 3$

Replace y with f(x)

$f(x) = x + 3$

Hence, from the list of given options; Option B is correct

8 0

3 years ago

What will be the compound interest p=25000 r= 12% p.a for 5 years

DanielleElmas [232]

Answer:

Step-by-step explanation:

I= PRT ÷ 100

P is principal

R is rate (%)

T is time (years)

I = (25000 × 12 × 5) ÷ 100

= 15000

6 0

2 years ago

Read 2 more answers

10) 9 people can paint a bridge in 5 hours,

ale4655 [162]

Step-by-step explanation:

The number of people to paint the bridge is inversely proportional to the number of hours it takes.

(If there are more people, it will take less time etc.)

9 people can paint the bridge in 5 hours.

=> 2 people can paint the bridge in 5 * (9/2) = 22.5 hours.

8 0

3 years ago

A triangle has a side lengths of 3 centimeters, 5 centimeters, and 4 centimeters. Abe used converse of the Pythagorean Theorem t

fgiga [73]

No, Abe is incorrect.

If you don’t know which side is the hypotenuse, you have to try every possibility.

3^ + 4^ = 5^
25 = 25

The triangle is a right triangle. The side which is 5 cm long is the hypotenuse.

8 0

2 years ago