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2 years ago

Question

Mathematics

1 answer:

Nadya [2.5K]2 years ago

4 0

Answer:

Step-by-step explanation:

Hello:

an equation for the line is : y =mx +b (m: is a slope )

perpendicular to the line described by : y = -1/3 x +4

So : product for two slopes = -1 means : m×-1/3=-1

m = 3

now : y = 3 x+b

but this line :

through the point (4,3) : 3 =3(4)+b....... b=-9

conclusion :

the equation is : y =3x -9

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So desperate giving all of my points for this. Please show work and I'll give Brainliest. Please god please god please god

Alecsey [184]

here you go someone already has answered this question before <3

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1 year ago

What is the value of x? 45° 2 (2x - 5) > n

Vladimir [108]

Answer:

70 degrees

Step-by-step explanation:

Find the diagram attached

The sum of the angles is supplementary that is

45 + 2x- 5 = 180

2x + 40 = 180

2x = 180 - 40

2x = 140

x = 140/2

x = 70

Hence the value of x is 70 degrees

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3 years ago

25 points pls help this is really hard

Katarina [22]

Answer:

Step-by-step explanation:

you do step by step math and after you do that you will get 10

8 0

2 years ago

Read 2 more answers

First one right gets BRAINLIEST!! If f(x)=x²+2x-3 and g(x)=x²-9, find (f/g) 4 and (f+g)(4)

Rasek [7]

Answer:

3 and 28

Step-by-step explanation:

note ( $\frac{f}{g}$ )(x ) = $\frac{f(x)}{g(x)}$

$\frac{f(x)}{g(x)}$

= $\frac{x^2+2x-3}{x^2-9}$ and

( $\frac{f}{g}$ )(4) = $\frac{4^2+2(4)-3}{4^2-9}$ = $\frac{16+8-3}{16-9}$ = $\frac{21}{7}$ = 3

-------------------------------------------------------

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x² + 2x - 3 + x² - 9 = 2x² + 2x - 12 and

(f + g)(4) = 2(4)² + 2(4) - 12 = 2(16) + 8 - 12 = 32 + 8 - 12 = 28

6 0

3 years ago

A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.

Vlada [557]

Answer:

a) $y=12000(2)^{\frac{t}{50}}$

b) Approx. 27,569 bacteria

c) About 103 minutes

Step-by-step explanation:

This will follow exponential modelling with form of equation shown below:

$y=Ab^{\frac{t}{n}}$

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

$y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}$

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

$y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76$

The number of bacteria after 1 hour would approximate be 27,569 bacteria

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

$y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103$

After about 103 minutes, there will be 50,000 bacteria

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3 years ago