All categories

2 years ago

Which graph represents the following system of inequalities?

Mathematics

1 answer:

Korolek [52]2 years ago

8 0

The graph of the two given system of inequalities y > 2x - 5

y < -3x is; Attached below

<h3>How to graph Inequalities?</h3>

We are given two inequalities;

y > 2x - 5

y < -3x

The graph that represents the 2 inequalities has been attached and from the graph, we see that;

The slope of the dotted line is negative

The x- intercept of the dotted line is the point (0,0)

The y- intercept of the dotted line is the point (0,0)

The solution of the system of inequalities is the shaded pink area between the two dotted lines.

Read more about Inequality Graphs at; brainly.com/question/13635292

#SPJ1

You might be interested in

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

$P(t) = 500e^{0.0223t}$

$P(40) = 500e^{0.0223*40} = 1220$

The population in 40 years will be 1220.

7 0

4 years ago

Alex bikes 2 3/4 miles. Then, she runs 1 2/4 miles. The distance she bikes is how many times the distance she runs?

d1i1m1o1n [39]

Answer:

2 1/5

Step-by-step explanation:

2 3/4 divided by 1 2/4=2 1/5

6 0

3 years ago

This is important please help

Leya [2.2K]

Answer: C

<u>Step-by-step explanation:</u>

∑ 8( $\frac{7}{3}$ )⁽ⁿ⁻¹⁾ from n = 1 to n = 5

n = 1 → 8( $\frac{7}{3}$ )⁽¹⁻¹⁾

= 8 = $\frac{648}{81}$

n = 2 → 8( $\frac{7}{3}$ )⁽²⁻¹⁾

= $\frac{56}{3}$ = $\frac{1512}{81}$

n = 3 → 8( $\frac{7}{3}$ )⁽³⁻¹⁾

= $\frac{392}{9}$ = $\frac{3528}{81}$

n = 4 → 8( $\frac{7}{3}$ )⁽⁴⁻¹⁾

= $\frac{2744}{27}$ = $\frac{8232}{81}$

n = 5 → 8( $\frac{7}{3}$ )⁽⁵⁻¹⁾

= $\frac{19208}{81}$ = $\frac{19208}{81}$

Sum = $\frac{33128}{81}$

= 408.99

6 0

3 years ago

6x-9=y ; y=-3x linear equations solution for x and y I need help can someone explain

snow_lady [41]

The answer is
x = 1 and y = -3
<span>[1] 6x-9=y [2] y=-3x</span>

7 0

3 years ago

Pls help ksp :D thanks!

Gnoma [55]

I think it's the second answer

Hope this helps :)

3 0

3 years ago