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3 years ago

Enter the ordered pair for the vertices for rx-

Mathematics

2 answers:

SOVA2 [1]3 years ago

7 0

Answer:

ghjlgk

Step-by-step explanation:

MrRissso [65]3 years ago

7 0

Answer:

q1 (1,-3)

r1 (3,3)

s1 (0,2)

t1 (-2,-1)

Step-by-step explanation:

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Suppose that a Petri dish initially contains 2000 bacteria cells. An antibiotic is introduced and after 4 hour, there are now 16

Sergeu [11.5K]

Answer:

a)The linear function for $P(t)$ is:

$P(t) = 2000 - 100*t$

b)The exponential function for $P(t)$ is:

$P(t) = 2000e^{-0.055t}$

Step-by-step explanation:

(a) Suppose that P(t) is a linear function. Find a formula for P(t):

$P(t)$ can be modeled by a linear function in the following format.

$P(t) = P_{0} - r*t$ , in which $P_{0}$ is the initial number of bacteria cells in the dish, t is the time and r is the rate that the number decreases.

Since the dish initially contains 2000 bacteria cells, $P_{0} = 2000$

We have

$P(t) = 2000 - r*t$

An antibiotic is introduced and after 4 hour, there are now 1600 bacteria cells present. So $P(4) = 1600$ . With this information, we can find the value of r.

$P(t) = 2000 - r*t$

$1600 = 2000 - r*(4)$

$4r = 400$

$r = \frac{400}{4}$

$r = 100$

So, the linear function for $P(t)$ is:

$P(t) = 2000 - 100*t$

b) Suppose that P(t) is an exponential function. Find a formula for P(t)

$P(t)$ can also be modeled by an exponential function in the following format:

$P(t) = P_{0}e^{rt}$

The values mean the same as in a). We use the fact that $P(4) = 1600$ to find r.

$P(t) = 2000e^{rt}$

$1600 = 2000e^{4r}$

$e^{4r} = \frac{1600}{2000}$

$e^{4r} = 0.8$

$ln e^{4r} = ln 0.8$

$4r = -0.22$

$r = \frac{-0.22}{4}$

$r = -0.055$

So, the exponential function for $P(t)$ is:

$P(t) = 2000e^{-0.055t}$

5 0

4 years ago

1/2 x 1/2 equals how much

alexdok [17]

Answer: 1/4

Step-by-step explanation: When multiplying two fractions together, we multiply across the numerators and we also multiply across the denominators.

$So$ $(\frac{1}{2}) (\frac{1}{2})$ $is$ $\frac{1}{4}.$

4 0

4 years ago

Read 2 more answers

Which equation has no solution?

dybincka [34]

So, we start with this.
$5+2\left(3+2x\right)=x+3\left(x+1\right)$
Simplify.
$4x+11=4x+3$
Subtract 11 from both sides.
$4x+11-11=4x+3-11$
Simplify.
$4x=4x-8$
Subtract 4x from both sides.
$4x-4x=4x-8-4x$
Simplify
$0=-8$
This equation has no solution, the answer would be B!
Have a nice day! :)

7 0

3 years ago

Read 2 more answers

Some facts about powers of ten are shown.

IgorC [24]

Answer:

Step-by-step explanation:

We should know that;

10³ = 10 * 10 * 10 = 1000

∴ 4.23 * 10³ = 4.23 * 1000 = $\frac{423}{100}*1000$ = 4,230

7 0

3 years ago

the sum of two numbers is 60. The second number is 5 times as much as the first number. What is the first number.

Oksanka [162]

Answer:

x = 10

The second number is 50

Step-by-step explanation:

Givens

The first number = x

The second number = 5x

Together when added the answer is 60

Equation

x + 5x = 60 Combine like terms

Solution

6x = 60 Divide by 6

6x/6 = 60/6

x = 10

5 0

3 years ago