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3 years ago

AHH HELP- solve for y. -2x + y = 5 what does y equal and how did you solve it?

Mathematics

1 answer:

bulgar [2K]3 years ago

3 0

Answer:

Step-by-step explanation:

I just moved <u><em>all</em></u> terms that don't contain x to the

right side and solved!

Hope this Helps!

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Whats 12.3/342/75x75xyx85

Elan Coil [88]

Answer:

100000000

Step-by-step explanation:

6 0

2 years ago

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X^2-24x+144=0<br><br> solve for x please

e-lub [12.9K]

Answer:

x = 12

Step-by-step explanation:

Step 1: Write quadratic

x² - 24x + 144 = 0

Step 2: Factor

(x - 12)(x - 12) = 0

Step 3: Find roots

x - 12 = 0

x = 12

5 0

3 years ago

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A news item is spreading by word of mouth through a population of size 12,000 people. After t days, the number of people (in tho

Lilit [14]

Answer:

a) 2.303

b) $f'(t)=\frac{432e^{-0.48t}}{(1+75e^{-0.48t})^{2}}$

c) 1.3609

e) $\frac{dy}{dx}=0.04y(12-y)$

f) 4.5 thousand people(smaller)

7.5 thousand people (larger)

e) t=7.93 days (smaller)

t=10.06 days (larger)

g) 1.44

Step-by-step explanation:

The given function is $y=f(t)=\frac{12}{1+75e^{-0.48t}}$

To find how many thousand people have heard the news after 6 days, we substitute to get:

$f(6)=\frac{12}{1+75e^{-0.48*6}}=2.303$ thousands.

b) We rewrite to get: $f(t)=12(1+75e^{-0.48t})^{-1}$

We differentiate using the chain rule to obtain:

$f'(t)=-12(1+75e^{-0.48t})^{-2}\cdot 75e^{-0.48t}\cdot -0.48$

This simplifies to:

$f'(t)=432e^{-0.48t}(1+75e^{-0.48t})^{-2}$

We rewrite as positive index to get:

$f'(t)=\frac{432e^{-0.48t}}{(1+75e^{-0.48t})^{2}}$

c) To find the rate at which the news is spreading after 8 days, we substitute t=8 into $f'(t)=\frac{432e^{-0.48t}}{(1+75e^{-0.48t})^{2}}$ to get:

$f'(8)=\frac{432e^{-0.48\cdot 8}}{(1+75e^{-0.48\cdot 8})^{2}}=1.3609$

d) The solution to the logistic differential equation:

$\frac{dy}{dt}=ky(M-y)$

$y=\frac{M}{1+be^{-Mkt}}$

By comparison, M=12, and $Mk=0.48$

$12k=0.48\\k=0.04$

The differential equation is:

$\frac{dy}{dx}=0.04y(12-y)$

e) To how many people have heard the news when its rate of spread is 1.35 thousand per day, we equate the differential equation to 1.35 and so for t first.

$\frac{432e^{-0.48t}}{(1+75e^{-0.48t})^{2}}=1.35$

This gives us: t=10.06 ot t=7.93

We substitute the times into the function to get:

$f(7.93)=\frac{12}{1+75e^{-0.48\cdot7.93}}$ =4.5 thousand: smaller value

$f(10.06)=\frac{12}{1+75e^{-0.48\cdot10.06}}=7.5$ thousand: Larger value

f) The two times that the news is spreading at rate 1.35 thousand people per day are:

$t=7.93$ days: Smaller value

$t=10.06$ : Larger value

g) To find the fastest rate at which the news spread we take the second derivative and equate it to zero.

$f''(t)=0$

This corresponds to where the horizontal line is tangent to

$f'(t)=\frac{432e^{-0.48t}}{(1+75e^{-0.48t})^{2}}$

From the graph the point of tangency is:

(8.99,1.44)

Therefore the fastest rate at which the news spread is 1.44

7 0

3 years ago

What is credit invoice

OLEGan [10]

A statement detailing a refund or credit to a invoice

3 0

3 years ago

CAN ANYONE PLEASE HELP ME WITH ASAP

olganol [36]

Answer:

2. D $\frac{1}{2}$ inch per hour

3. C $\frac{4}{5}$ km

Eli chose A because he multiply 5 $\frac{3}{5}$ km and 7 days; instead of dividing.

$\frac{28}{5}$ * 7= $\frac{196}{5}$ which is 39 $\frac{1}{5}$

Step-by-step explanation:

2. Divide the inches of rain by hours

12 $\frac{1}{4}$ inches of rain ÷ 25 $\frac{1}{2}$ hours; convert to proper fraction

$\frac{49}{4}$ ÷ $\frac{51}{2}$

$\frac{49}{4}$ * $\frac{2}{51}$ = $\frac{98}{204}$ = $\frac{49}{102}$ which is approximately $\frac{1}{2}$ inch per hour

3. Divide km by days

5 $\frac{3}{5}$ km / 7 days = $\frac{28}{5}$ ÷ 7 = $\frac{28}{5}$ * $\frac{1}{7}$ = $\frac{4}{5}$ km

Eli chose A because he multiply 5 $\frac{3}{5}$ km and 7 days; instead of dividing.

$\frac{28}{5}$ * 7= $\frac{196}{5}$ which is 39 $\frac{1}{5}$

3 0

3 years ago

Read 2 more answers