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3 years ago

) Suppose you have a rope that is 293.5 cm long. If

Mathematics

1 answer:

Bogdan [553]3 years ago

8 0

Answer:

if you cut it into 10 pieces you get 29.35 cm longs pieces

Step-by-step explanation:

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State the intervals for which the given quadratic is positive and when it is negative.

goblinko [34]

Answer:

Positive at (-9, 2)
Negative at ( -oo, -9) or (2, + oo)

Step-by-step explanation:

Given function

y= -2x^2 - 14x + 36

Getting zero's

-2x^2 - 14x + 36 = 0
x^2 + 7x - 18 = 0

x = ( -7 ± √(49 +72))/2 = ( -7 ± 11)/2
x = - 9 and x = 2

As the x^2 has negative coefficient, the function is positive between -9 and 2

- 9 < x < 2 or
(-9, 2)

And it is negative at:

x < -9 and
x > 2
or
( -oo, -9) or (2, + oo)

3 0

3 years ago

Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours. f(x) = 3,50

lina2011 [118]

Answer:

The water level is falling.

The initial level of water in the pool was 3,500 units

The water was 2,600 units high after 4 hours.

Step-by-step explanation:

The given function that models the water level is

$f(x)=3,500-225x$

where $x$ represents time in hours.

The function represents a straight line that has slope $m=-225$

Since the slope is negative, it means the water level is falling.

The initial level of water in the pool can found when we put $x=0$ into the function.

$f(0)=3,500-225(0)$

$f(0)=3,500$ , hence the initial level is 3,500.

To determine the level of water in the pool after 14 hours, we put $x=14$ into the equation to get;

$f(14)=3,500-225(14)$

$f(14)=3,500-3150$

$f(14)=350$

To determine the water level after 4 hours we put $x=4$

$f(4)=3,500-225(4)$

$f(4)=3,500-900$

$f(14)=2,600$

4 0

3 years ago

Read 2 more answers

Help please. and thank you

alexandr402 [8]

Answer:

Its Option C

Step-by-step explanation:

Basically Linear is derived from the word line

Also this an equation for the line

The y-intercept is 8 and the gradient is -7

This is why the function is linear

5 0

2 years ago

Read 2 more answers

How many 1/5ths are in 9 plz help

lys-0071 [83]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Slope of -5 2). (3,9)

podryga [215]

Answer:

The slope of the given two points is $m=\frac{7}{8}$

Step-by-step explanation:

Given two points are (-5,2) and (3,9)

To find the slope with these two points

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points

By using Slope Formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{9-2}{3-(-5)}$

$m=\frac{9-2}{3+5}$ ( subtracting and adding the corresponding terms)

$m=\frac{7}{8}$

Therefore slope is $m=\frac{7}{8}$

The slope of the given two points is $m=\frac{7}{8}$

3 0

3 years ago