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Travka [436]
2 years ago
13

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

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The factorization of x2 + 3x – 4 is modeled with algebra
meriva

Option C: (x+4) and (x-1) are the factors of the equation

Explanation:

Given that the equation is x^{2} +3x-4

We need to determine the factors of the equation.

Splitting the middle term, we get,

x^{2} +4x-x-4

Grouping the terms, we have,

x(x+4)-1(x+4)

Let us factor out the term (x+4), we have,

(x+4)(x-1)

Thus, the factors of the equation are (x+4) and (x-1)

Hence, Option C is the correct answer.

4 0
4 years ago
At the beginning of an experiment, the number of bacteria in a colony was counted at time t=O. The number of bacteria in the col
yan [13]

Answer:

1092

Step-by-step explanation:

We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function B(t)=9(3)^t. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

Upon substituting our given values, we will get:

\text{Average rate of change}=\frac{b(6)-b(0)}{6-0}

\text{Average rate of change}=\frac{9(3)^6-9(3)^0}{6}

\text{Average rate of change}=\frac{9(729)-9(1)}{6}

\text{Average rate of change}=\frac{6561-9}{6}

\text{Average rate of change}=\frac{6552}{6}

\text{Average rate of change}=1092

Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.

8 0
3 years ago
What is the product?<br> (-2x - 3y ?) (-4x-3)
statuscvo [17]

Answer:

8x²+6x+12xy+9y

Step-by-step explanation:

⇒(-2x - 3y)(-4x - 3)

⇒(-2x × -4x)+(-2x × -3)+(-3y × -4x)+(-3y × -3)

⇒8x²+6x+12xy+9y

4 0
3 years ago
Translate the word phrase into a variable expression. seven less than the quotiont of x and 9
aev [14]

Quotient of x and 9=\frac{x}{9}

And 7 less than from it means=\frac{x}{9} - 7 (Answer)

8 0
3 years ago
4^3 x (100/25)-5^0<br><br> Evaluate
Eva8 [605]

4^3 = 64

100/25 = 4

5^0=1

64 * 4-1

256-1

255

8 0
3 years ago
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