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Crank
3 years ago
15

Directions - solve the liner system. enter your answer as an ordered pair. 2x + 3y = 31 y = x + 7

Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0

(1) 2x + 3y = 31 y

(2) 2x + 3y = x + 7

(3) 31y = x + 7

(3) x = 31y - 7

(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17

(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17

x = 98/17 ≈ 5.76

y = 7/17 ≈ 0.41

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IM having trouble trying to solve this problem
Assoli18 [71]

Answer:

You would have approximately 201 insects.

Step-by-step explanation:

To calculate the final population of the insects, you need to first insert the values of each variable you know into the equation. The initial population at time t=0 would be 100 insects, the rate of population growth coverted to decimal form would be 0.1, and the elapsed time since time t=0 is 7 days. Now the new equation would be P = 100(e)^{0.1*7}.

   P = 100(e)^{0.1*7}

⇒ P ≈ 100 * 2.01

⇒ P ≈ 201

You will have 201 insects in 7 days (rounded to the nearest insect).

3 0
3 years ago
Read 2 more answers
If f(x) = -(1/x^3) and x takes on successive values from -10 to 0.1 ,
prohojiy [21]
Alright, this one is a little interesting... Let's perform some tests to figure out what is happening:
f(-10) = -(1/(-10)^3) = -(1/-1000) = 1/1000  (positive)
f(-5) = -(1/(-5)^3) = -(1/-125) = 1/125 (positive, bigger than the last one)
f(-1) = -(1/(-1)^3) = -(1/-1) = 1 (positive, bigger than the last one)
f(-0.1) = -(1/(-0.1)^3) = -(1/-0.001) = 1/0.001 = 1000 (positive, bigger than the last one)
f(0) = -(1/0^3) = undefined!
f(0.1) = -(1/(0.1)^3) = -(1/0.001) = -1/0.001 = -1000 (negative)
f(1) = -(1/1^3) = -(1/1) = -1 (negative, but bigger than last one)

It's a little confusing with the undefined part at x = 0. What I can say is this, it is increasing from -10 up to 0, something weird happens at 0 and it resets, and starts increasing from 0 up to 0.1. 

I guess A would be the best answer?

3 0
3 years ago
Heeeeeeeeeeeeeeeeelp
malfutka [58]

Answer:

A no-doest pass the vertical line test

Step-by-step explanation:

the vertical line test is a test saying any line is functional if when several vertical lines are drawn, the function does not pass through any line more than once

hope this helps:)!

3 0
3 years ago
Consider the following function. f(x) = 1/x, a = 1, n = 2, 0.6 ≤ x ≤ 1.4 (a) Approximate f by a Taylor polynomial with degree n
Xelga [282]

Answer:

y - 1 = 0

Step-by-step explanation:

move constant to the left by adding its opposite to both sides y - 1 = 1 - 1

the sum two opposites equals 0

y =1

7 0
4 years ago
M∠=6, m∠=+20, and m∠=40+3. List the sides of △ in order from shortest to longest.
oksian1 [2.3K]

Answer:

m∠=6, ,m∠=+20,m∠=40+3

the larger the angle, the larger the side

7 0
3 years ago
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