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lara [203]
2 years ago
15

Consider these graphed number lines. 4 number lines going from negative 5 to positive 5. Graph A: closed circles are at negative

5 and positive 2. Everything to the left of negative 5 and to the right of positive 2 is shaded. Graph B: Points are at negative 5 and positive 2. Everything between the points is shaded. Graph C: Open circles are at negative 5 and positive 2. Everything to the left of negative 2 and to the right of positive 2 is shaded. Graph D: Points are at negative 5 and positive 2. Everything between the points is shaded. Which number line represents the solution for the inequality |2p + 3| Greater-than-or-equal-to 7? graph A graph B graph C graph D
Mathematics
1 answer:
blagie [28]2 years ago
3 0

The graph for the solution set of the absolute value inequality is given by graph A.

<h3>What is the absolute value function?</h3>


The absolute value function is given by:

  • |x| = x, x >= 0.
  • |x| = -x, x < 0.

It measures the distance of a point x to the origin, which is given to x = 0.

In this problem, the inequality is given by:

|2p + 3| ≥ 7

Which means that the distance of 2p + 3 to the origin is of at least 7 units, hence 2p + 3 can be:

  • Equal or less to -7.
  • Equal or greater than 7.

Hence:

2p + 3≤ -7

2p ≤ -10

p ≤ -5

2p + 3 ≥ 7

2p ≥ 4

p ≥ 2

The graph is given at the end of the answer, and represented by graph A.

More can be learned about the absolute value function at brainly.com/question/24734454

#SPJ1

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NOOO! It's a trapezoid
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4 years ago
find the circular cylinder of largest lateral area which can be inscribed in a sphere of radius R=4 feet
choli [55]
Let say radius is r 
<span>its height is h </span>
<span>its lateral area = y </span>
<span>y = 2 pi r h </span>
<span>since the cylinder is inscribed in the sphere </span>
<span>So (2r )^2 + h^2 = 64 </span>
<span>then 4 (r^2) = 64 - h^2 </span>
<span>since y^2 = 4 (pi)^2 r^2 h^2 </span>
<span>then y^2 = (pi)^2 *h^2 * (64 -h^2) </span>
<span>y^2 = 64 (pi)^2 * h^2 - (pi)^2 * h^4 </span>
<span>2 y y' = 128 (pi)^2 * h - 4 (pi)^2 * h^3 </span>
<span>putting y' = 0 </span>
<span>4 (pi)^2 h ( 32 - h^2)=0 </span>
<span>ether h = 0 testing this value (changing of the sign of y' before and after ) y is minimum </span>
<span>or h = 4 sqrt(2) </span>
<span>testing this value (changing of the sign of y' before and after ) y is maximum </span>
<span>So the maximum value of y^2 = (pi)^2 *32 *( 64 - 32) </span>
<span>y^2 = (pi)^2 * (32)^2 </span>
<span>y = 32 (pi) square feet

hope this helps</span>
6 0
4 years ago
Two groups of tourists each have 60 people. If 3/4 of the first group and 2/3 of the second group board buses to travel to a mus
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Bus 2:

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6 0
3 years ago
Which of the following functions is not a linear
kicyunya [14]

By looking at the degree of the polynomials, we conclude that the option that is not linear is option C.

<h3>Which of the following functions is not a linear function?</h3>

A polynomial is an expression of the form:

p(x) = a_n*x^n + a_{n-1}*x^{n-1} + ... + a_0

Where all the exponents are natural numbers.

We define the degree of a polynomial as the largest exponent, and we define a linear function as a polynomial of degree 1.

So a linear function is of the form:

f(x) = a_1*x + a_0

Now, if you look at option C, you can see that the degree of that polynomial is 2. So that is not a linear function.

Then the correct option is C.

If you want to learn more about linear equations:

brainly.com/question/1884491

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7 0
2 years ago
Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that i
Rzqust [24]
The solutions for eq 1 can be solved with these 2 equations (5x + 6 = 41) and  -(5x + 6 = 41)....so there are 2 solutions

the solutions for eq 2 can be found with these 2 equations (2x + 13 = 28) and -(2x + 13 = 28)...so there are 2 solutions

so both absolute value equations have 2 solutions
5 0
3 years ago
Read 2 more answers
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