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3 years ago

Which graph represents the solution set of the system of inequalities? y<−3x−2 y≤x−2

Mathematics

1 answer:

kotegsom [21]3 years ago

5 0

It would be the first graph

That is because the 2nd and 3rd graphs start at a point close to (0,-2) but it is not the correct point.

Now using (0,0) as a solution plug it in for the x and y values like so

0 <−3(0)−2 = 0 < -2

0 ≤ 0 −2 = 0 ≤ -2

This does not work so solutions from (0,0) up cannot be solutions, so the first graph must be the right answer.

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A meter stick perpendicular to the ground casts a 1.5 meter shadow at the same time a telephone pole casts a shadow that is 9 me

snow_lady [41]

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3 years ago

Two functions are shown in the table below.

SVETLANKA909090 [29]

Answer:

$(d)\ x = 4$

Step-by-step explanation:

Given

$f(x) = -x^2 + 4x + 12$

$g(x) = x + 8$

Required

Find x such that: $f(x) = g(x)$

This gives:

$-x^2 + 4x + 12 = x+8$

Collect like terms

$-x^2 + 4x -x + 12 -8=0$

$-x^2 + 3x +4 =0$

Expand

$-x^2 + 4x - x+4 =0$

Factorize

$x(x - 4) - 1(x-4) = 0$

Factor out x - 1

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Solve:

$x =1\ or\ x = 4$

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3 years ago

How can you tell when a pattern shows counting on by tens

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4 years ago

What is the ratio 3:4 of 21?

docker41 [41]

3-----4

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Total (Right): 12

-------------------

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3 years ago

Read 2 more answers

What are the values of a 1 and r of the geometric series? 1 3 9 27 81.

sp2606 [1]

For the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.

<h3>What is geometric series?</h3>

A series of numbers whose any two consecutive numbers are always in a common ratio of that series.

Given to us

Series, 1 3 9 27 81

To find the value of the common ratio(r), we will simply find the ratio of any two consecutive numbers, therefore,

$r = ratio = \dfrac{3}{1} = 3$

As we can see the common ratio of the given series is 3, therefore, every next number will be thrice the number before.

We need to find the value of a₁ for the given series, and as we know that a₁ is the first number of the series with which the series is starting, therefore,

a₁ = 1

Hence, for the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.

Learn More about Geometric Series:

brainly.com/question/14320920

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2 years ago