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3 years ago

Which of the following graphs represents the solution set for y< -2x – 4?

Mathematics

1 answer:

Katen [24]3 years ago

3 0

Given:

The inequality is $y$ .

To find:

The graph of the given inequality.

Solution:

The inequality is

$y$

The related equation is

$y=-2x-4$

For x=0,

$y=-2(0)-4$

$y=0-4$

$y=-4$

For y=0,

$0=-2x-4$

$4=-2x$

$\dfrac{4}{-2}=x$

$-2=x$

So, the related line passes through two points (0,-4) and (-2,0).

Sign of inequality is <, so the related line is a dotted line and shaded region is below the related line.

Therefore, the correct option is B.

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Solve: A rock is thrown upward with an initial velocity of 16 ft/s from an initial height of 5 ft.

Nata [24]

Answer:

5t² - 16t + h =0

Step-by-step explanation:

During upward projection the final velocity is zero, and the gravitational acceleration is -10 m/s² (against the gravity).

Therefore; using the equation;

S = 1/2gt² + ut

Where s is the height h, g is gravitational acceleration, and t is the time and u is the initial velocity u, is 16 ft/s.

Thus; h= 1/2(-10)t² + 16t

We get; h = -5t² + 16t

Therefore; the quadratic equation is 5t² - 16t + h =0

Plz, mark me brainlest!!

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3 years ago

Find the range of the function for the given domain. f(x) = 2x - 7 ; {-2, -1, 0, 1, 2}

Studentka2010 [4]

The domain is a discrete set. So we will have a discrete range.

The range is a set containing:

f(-2)=-11

f(-1)=-9

f(0) = -7

f(1) = -5

f(2) = -3

Range = {-11,-9,-7,-5,-3}

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3 years ago

Complete the following exercises by applying polynomial identities to complex numbers. Factor x2 + 64. Check your work. Factor 1

Mumz [18]

$x^2+64=x^2-(8i)^2=(x-8i)(x+8i)$

$16x^2+49=(4x)^2-(7i)^2=(4x-7i)(4x+7i)$

$(x+9i)^2=x^2+2x\cdot9i+(9i)^2=x^2+18xi+81i^2=x^2+18xi-81=x^2-81+18xi$

$(x-2i)^2=x^2-2x\cdot2i+(2i)^2=x^2-4xi+4i^2=x^2-4xi-4=x^2-4-4xi$

$(x+(3+5i))^2=x^2+2x(3+5i)+(3+5i)^2\\\\=x^2+6x+10xi+3^2+2\cdot3\cdot5i+(5i)^2\\\\=x^2+6x+10xi+9+30i+25i^2=x^2+6x+10xi+9+30i-25\\\\=x^2+6x+10xi+30i-16=x^2+6x-16+(10x+30)i$

$Used:\\i^2=-1\\\\a^2-b^2=(a-b)(a+b)\\\\(a+b)^2=a^2+2ab+b^2$

4 0

3 years ago

Read 2 more answers

Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n? All integers where n ≥ 1 All integers where n > 1

krok68 [10]

All integers where n ≥ 1.

We have given that the sequence,

$a_{n} =4-3(n-1)$

We have to find the domain for n.

<h3>What is the meaning of arithmetic sequence?</h3>

Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.

That is, $a_{n} =a+(n-1)d$

where a = first term of sequence.

d =common difference.

n =number of terms which belongs to natural numbers

By the definition of arithmetic sequence n starts with 1

Remember that,the natural number starts with 1

Now, in given sequence for nth term

$a_{n} =4-3(n-1)$

The domain for n is All integers where n ≥ 1.

To learn more about the arithmetic sequence visit:

brainly.com/question/20118982

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2 years ago

a) What is the probability that a person selected at random from the general population is senior citizen who will get the flu t

Greeley [361]

<span>The probability that a person selected at random from the general population is senior citizen who will get the flu this season is 0.14 x 0.18 = 0.0252</span>

7 0

3 years ago

Which of the following graphs represents the solution set for y< -2x – 4? ​

Which of the following graphs represents the solution set for y< -2x – 4?