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valentinak56 [21]
3 years ago
14

Slope of (-2,-3) and (6,2)

Mathematics
1 answer:
alexira [117]3 years ago
4 0
\frac{5}{8} is the slope between these two points. 

To figure out the slope between two points, we need to find the rise over run, which is the change in the <em>y value over the change in the x value</em>. This becomes:

\frac{2 - (-3)}{6 - (-2)}

And simplifies to:
\frac{5}{8}, meaning that the slope between these two points is \frac{5}{8}.
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A city starts with a population of 500,000 people in 2007. Its population declines according to the equation
hjlf

Answer: After 7 years the population will be one-half the initial amount.

Step-by-step explanation:

Given: Initial population = 500,000

The population declines according to the equation:

P(t) = 500,000e^{ -0.099t}, where P is the population in t years later.

One-half the initial amount = 0.5 x 500,000

= 250,000

Put P(t)=250,000, we get

250000=500000e^{-0.099t}\\\\\Rightarrow\ \frac{500000e^{-0.099t}}{500000}=\frac{250000}{500000}\\\\\Rightarrow\ e^{-0.099t}=\frac12\\\\\Rightarrow\ -0.099t=\ln \left(\frac{1}{2}\right)\\\\\Rightarrow\ t=\frac{1000\ln \left(2\right)}{99}=\frac{1000(0.69314)}{99}\\\\\Rightarrow\ t=7.00148\approx7

Hence, After 7 years the population will be one-half the initial amount.

5 0
3 years ago
GCF of 15x^2y^3 and -20x^3yz
nadezda [96]

15x^2y^3=3\cdot\boxed{5}\cdot\boxed{x}\cdot\boxed{x}\cdot\boxed{y}\cdot y\cdot y\\\\-20x^3yz=-2\cdot2\cdot\boxed{5}\cdot\boxed{x}\cdot\boxed{x}\cdot x\cdot\boxed{y}\cdot z\\\\GCF(15x^2y^3,\ -20x^3yz)=\boxed{5}\cdot\boxed{x}\cdot\boxed{x}\cdot\boxed{y}=5x^2y

4 0
3 years ago
WHat is the sum of the rational expressions below 3x+1/2x+7x/x+5
Harlamova29_29 [7]
3x+1/2x+7x/x+5=
Answer is 17x^2+16x+5/2x^2+10x
Workup in photo below
5 0
2 years ago
Please help I woll do brainly
Leona [35]

Answer:

i believe it is y=50x+40

Step-by-step explanation:

5 0
2 years ago
Food bill before tax:$45 sales tax:6.8% tip:24%
mojhsa [17]

Answer: 58.86

Step-by-step explanation:

45(.068)= 3.06

3.06+45= 48.06

45(0.24)=10.8

48.06+10.8= 58.86

7 0
2 years ago
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