All categories

3 years ago

Evaluate 5x-2y;x=2,y=-1

Mathematics

1 answer:

Akimi4 [234]3 years ago

8 0

Answer:

Step-by-step explanation:

5x - 2y

5 ( 2 ) - 2 ( 1 )

10 - 2

You might be interested in

The graph of g(x) is a reflection and translation of f(x) = 2x<br> Which equation represents g(x)?

lions [1.4K]

Answer:

-2x -1 if f(x) is reflected along the x axis and translated 1 unit downward

Step-by-step explanation:

A function can either be reflected along the x axis or along the y axis. If a function is reflected along the x axis, the new reflected equation g(x) is given by:

g(x) = -f(x) = -2x

g(x) = -2x

If a function is reflected along the y axis, the new reflected equation g(x) is given by:

g(x) = f(-x) = 2(-x)

g(x) = -2x

Translation means the shifting of the curve either up or down in a graph. If the reflected function is shifted 1 unit upward, the function becomes:

g(x) + 1 = -2x + 1

If the reflected function is shifted 1 unit downward, the function becomes:

g(x) - 1 = -2x - 1

8 0

3 years ago

A number minus 8 then subtracted by 12. <br> What is the number?

gogolik [260]

Answer:

x=20

Step-by-step explanation:

Let the number be x

(x-8)-12=0

x-8-12=0

x-20=0

Add 20 to both sides

x=20

3 0

3 years ago

A type of bacteria has a very high exponential growth rate of 80% every hour. If there are 10 bacteria, determine how many will

Lana71 [14]

<h3>There are 189 bacteria in 5 hours</h3><h3>There are 13382588 bacteria in 1 day</h3><h3>There are $10(1.8)^{168}$ bacteria in 1 week</h3>

<em><u>Solution:</u></em>

Given that,

A type of bacteria has a very high exponential growth rate of 80% every hour

There are 10 bacteria

<em><u>The increasing function is given as:</u></em>

$y = a(1+r)^t$

Where,

y is future value

a is initial value

r is growth rate

t is time period

From given,

a = 10

$r = 80 \5 = \frac{80}{100} = 0.8$

<em><u>Determine how many will be in 5 hours</u></em>

Substitute t = 5

$y = 10(1 + 0.8)^5\\\\y = 10(1.8)^5\\\\y = 10 \times 18.89568\\\\y \approx 188.96$

y = 189

Thus, there are 189 bacteria in 5 hours

<em><u>Determine how many will be in 1 day ?</u></em>

1 day = 24 hours

Substitute t = 24

$y = 10(1 + 0.8)^{24}\\\\y = 10(1.8)^{24}\\\\y = 10 \times 1338258.84\\\\y = 13382588.45\\\\y \approx 13382588$

Thus, there are 13382588 bacteria in 1 day

<em><u>Determine how many will be in 1 week</u></em>

1 week = 168

Substitute t = 168

$y = 10(1 + 0.8)^{168}\\\\y = 10(1.8)^{168}$

Thus there are $10(1.8)^{168}$ bacteria in 1 week

6 0

3 years ago

Find the volume of the cone.

Murrr4er [49]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Volume of cone :

$\qquad \sf \dashrightarrow \: \frac{1}{3} \pi{r}^{2} h$

Now, let's plug in the values as per the diagram ~

$\qquad \sf \dashrightarrow \: \frac{1}{3} \times 3.14 \times {(18)}^{2} \times 10$

$\qquad \sf \dashrightarrow \: \frac{1}{3} \times 31.4 \times 324$

$\qquad \sf \dashrightarrow \: 31.4 \times108$

$\qquad \sf \dashrightarrow \:3391.2 \: \: ft {}^{3}$

7 0

2 years ago

What should you multiply the top equation by so that y is eliminated when the

VLD [36.1K]

Your answer is D. 2 :)

8 0

3 years ago

Read 2 more answers