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3 years ago

Find the slope of f(x)=5x-4

Mathematics

2 answers:

frosja888 [35]3 years ago

6 0

Answer:

Step-by-step explanation:

Romashka-Z-Leto [24]3 years ago

4 0

Answer:

slope, m = 5

Step-by-step explanation:

Recall that the slope-intercept form of a linear equation can be written:

y = mx + b or f(x) = mx + b

where m is the slope of the line.

in our case, we are given

f(x) = 5x - 4

if we compare this with the general equations above, we can see that

slope = m = 5

hence the slope is 5

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A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line

Nataliya [291]

Answer:

Volume is $2000\pi\ m^{3}$

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

$c = \frac{1}{5}$

Therefore,

$h(y) = \frac{1}{5}y + 5$

Now, the Volume of the pool is given by:

$V = \int h(y)dA$

where

A = $r\theta$

$A = rdr\ d\theta$

Thus

$V = \int (\frac{1}{5}y + 5)dA$

$V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta$

$V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta$

$V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta$

$V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}$

$V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}$

7 0

3 years ago

24=9x+4-4x <br> Solve equation. Check your answer.

sammy [17]

Answer:

x=4. Verified, Not wrong.

Step-by-step explanation:

24=9x+4-4x

24 = 5x+4

20-4

5x=20

(divide)

x=4

5 0

2 years ago

Read 2 more answers

A number that has a whole number part and a fraction part is a

Vsevolod [243]

it would be known as a mixed fraction....?

4 0

3 years ago

Read 2 more answers

An object has a mass of 225 g and a volume of 15 cm3.<br> Find the density of the object in g/cm3

ioda

Answer:

D=m/v

=225g/15cm^3

=15g/cm^3

Step-by-step explanation:

The formula for calculating density is: density=mass/volume.

after collecting data you will see that all the data is already in the question and there's no need to convert any units. Divide the mass by the volume and you'll have the density in g/cm^3

5 0

2 years ago

A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an

____ [38]

Answer: 70 meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

$DE=AD+AE$

<em />

Both triangles are right triangles. Therefore, you can calculate the distance between the walls as following:

- Calculate the distance AD:

$cos\alpha=\frac{adjacent}{hypotenuse}\\\\cos(60\°)=\frac{AD}{60}\\AD=30m$

- Calculate the distance AE:

$tan\beta =\frac{opposite}{adjacent}\\\\tan(45\°)=\frac{40}{AE}\\\\AE=\frac{40}{tan(45\°)}\\\\AE=40m$

Therefore the distance between the walls is:

$DE=30m+40m=70m$

6 0

3 years ago

Read 2 more answers