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2 years ago

19 - 6n = - 5 - 3 (2n - 6)

Mathematics

1 answer:

dalvyx [7]2 years ago

3 0

Answer:

Its 50

Step-by-step explanation:

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Latoya drove 210 miles using 9 gallons of gas. At this rate how many gallons of gas would she need to drive 413 miles?

Minchanka [31]

This is a problem that could be solved with proportions. Here's how to set it up.

210mi./9 gallons =413mi./x gallons

Then, you would cross multiply 9x413 then divide that my 210. The result would be the X gallons. Good Luck ♡

3 0

3 years ago

Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e

svet-max [94.6K]

ANSWER

$y = 2x -4$

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

$x = 5 + ln(t)$

$y = {t}^{2} + 5$

From the first equation we make t the subject to get;

$x - 5 = ln(t)$

$t = {e}^{x - 5}$

We put it into the second equation.

$y = { ({e}^{x - 5}) }^{2} + 5$

$y = { ({e}^{2(x - 5)}) } + 5$

We differentiate to get;

$\frac{dy}{dx} = 2 {e}^{2(x - 5)}$

At x=5,

$\frac{dy}{dx} = 2 {e}^{2(5 - 5)}$

$\frac{dy}{dx} = 2 {e}^{0} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5)$

$y = 2x - 10 + 6$

$y = 2x -4$

Without eliminating the parameter,

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }$

$\frac{dy}{dx} = \frac{ 2t}{ \frac{1}{t} }$

$\frac{dy}{dx} = 2 {t}^{2}$

At x=5,

$5 = 5 + ln(t)$

$ln(t) = 0$

$t = {e}^{0} = 1$

This implies that,

$\frac{dy}{dx} = 2 {(1)}^{2} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5) =$

$y = 2x -4$

5 0

3 years ago

X+9 divided by 3 equals 8

kykrilka [37]

Answer: 15

Step-by-step explanation:

I am assuming the equation is set up like this:

(x+9)/3 = 8

Multipy by 3 to both sides

x + 9 = 24

Subtract 9

x = 15

8 0

3 years ago

Read 2 more answers

You get paid \$14.50$14.50 an hour at your job and the newest video game costs \$85.00$85.00. Find the inequality that repr

Zielflug [23.3K]

Answer:

14.50x > 85

Step-by-step explanation:

14.50x > 85

divide both sides by 14.5

x>85/14.5 = 5.86 hours

x has to be greater than 5.86 hours

3 0

2 years ago

In the following figure, m AC = 64° and m BD = 130°. What is measure AEB?

Salsk061 [2.6K]

Answer: 32°

Step-by-step explanation: see photo

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3 years ago