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3 years ago

Which statements are true about the graph of y < 2/3x + 1? Check all that apply.

Mathematics

1 answer:

iragen [17]3 years ago

3 0

Solution is (2,3)
X intercept of boundary line is (-3/2,0)

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Find the slope on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.

Anastasy [175]

<h3>Answer: slope = -1/2</h3>

Explanation:

Two points on this line are (0,1) and (2,0)

Use the slope formula

m = (y2-y1)/(x2-x1)

m = (0-1)/(2-0)

m = -1/2

The negative slope means the line goes downhill as you move from left to right.

3 0

3 years ago

The population of fish in a certain lake follows the logistic growth function , where t is the time in years.

Murrr4er [49]

Answer:

46 years

Step-by-step explanation:

We have the logistic growth function $f(t)=\frac{25,000}{1+8.25e^{-0.076t}}$ and we want to find the time when the population will reach 20,000, to do it we just need to replace $f(x)$ with 20,000 and solve for $t$ :

$f(t)=\frac{25,000}{1+8.25e^{-0.076t}}$

$20,000=\frac{25,000}{1+8.25e^{-0.076t}}$

Divide both sides by 25,000

$\frac{20,000}{25,000} =\frac{1}{1+8.25e^{-0.076t}}$

$0.8=\frac{1}{1+8.25e^{-0.076t}}$

Multiply both sides by $1+8.25e^{-0.076t}$ and divide them by 0.8

$1+8.25e^{-0.076t}=1.25$

Subtract 1 from both sides

$8.25e^{-0.076t}=0.25$

Divide both sides by 8.25

$e^{-0.076t}=\frac{0.25}{8.25}$

$e^{-0.076t}=\frac{1}{33}$

Take natural logarithm to both sides

$ln(e^{-0.076t})=ln(\frac{1}{33} )$

$-0.076t=ln(\frac{1}{33} )$

Divide both sides by -0.076

$t=\frac{ln(\frac{1}{33} )}{-0.076}$

$t$ ≈ 46

We can conclude that the population will reach 20,000 after 46 years.

5 0

3 years ago

A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. Is the relationship between number of

BabaBlast [244]

Answer:

Step-by-step explanation:

The cost per sandwich when 3 are delivered is $20/3 or $6.67 each.

The cost per sandwich when 4 are delivered is $26/4 or $6.50 each.

The average cost per sandwich changes with the number delivered, so it is not proportional. The cost decreases per sandwich as the volume of sandwiches increases. One can't predict the cost of 6 delivered sandwiches based on the information provided. If it were proportional, the cost could be calculated on the basis of the slope of the line. If all sandwiches cost $6.50 each, regardless of the volume ordered, the slope of a line relating number ordered and total cost would have a constant slope of 6.50. That isn't the case in this problem. The slope keeps changing.

8 0

2 years ago

HELP ASAP!! AND PLEASE EXPLAIN! The pyramid has a square base of 230 meters on each side and a height of 147 meters. Find the vo

Mama L [17]

Answer:

Step-by-step explanation:

<u>Volume of Square Pyramid</u>

V = 1/3a²h
V = 1/3(230)²(147)
V = 49 x 52900
V = <u>2,592,100 m³</u>

7 0

2 years ago

The volume of this cylinder is 7500m

Kitty [74]

Answer:

Clarifier Calculations

V = π r2h. Volume Calculations. Round ( Cylinder) Tanks. Example 1. Find the Volume in cubic feet of a tank having a radius of 10 feet and ...

Missing: 7500m ‎Give ‎SF

6 0

3 years ago