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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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Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilib

olasank [31]

So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.

The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).

6 0

3 years ago

A quantity with an initial value of 9100 grows continuously at a rate of 0.85% per hour. What is the value of the quantity after

ycow [4]

Answer:

$10,962,54$

Step-by-step explanation:

we know that

The equation of a exponential growth is equal to

$y=a(1+r)^x$

where

a is the initial value

r is the rate of growth

x is the time in hours

y is the value of the quantity

we have

$a=9,100\\r=0.85\%=0.85/100=0.0085$

substitute

$y=9,100(1+0.0085)^x$

$y=9,100(1..0085)^x$

For x=22 hours

substitute

$y=9,100(1..0085)^{22} =10,962,54$

4 0

3 years ago

Please please help me ! I’m on my final part of the test and I need to finish this question ! I will mark you as brainliest!!

Fittoniya [83]

Answer:

90°

i went on a whim and guessed it was a right angle, sorry I can't provide reasoning! but it is for sure 90°

Step-by-step explanation:

14x + 5 + 90 = 165

14x + 95 = 165

-95 -95

14x = 70

/14 /14

x = 5

14(5) + 5 +90 = 165

70 + 95 = 165

165 = 165

8 0

3 years ago

PLEASE ANSWER AS QUICK AS POSSIBLE

Lady_Fox [76]

Answer:

(a) h^-1(x) = (x+6)/6

Step-by-step explanation:

The inverse relation can be found by solving for y: x = h(y).

<h3>Solution</h3>

x = h(y) . . . . . the inverse relation

x = 6y -6 . . . . . use the function definition

x +6 = 6y . . . . add 6

(x +6)/6 = y . . . . divide by 6

The inverse function is ...

$\boxed{h^{-1}(x)=\dfrac{x+6}{6}}$

4 0

1 year ago

What is the second step in the construction?

MrMuchimi

Answer:

To draw the perpendicular bisector of any line segment, the compass opening should be the kept constant at any value a little more than half the length of the line segment. Then the compass point should be kept on one end and arcs drawn above and below and then keeping the same compass opening the same as mentioned before, the compass point should be placed on the other end and the arcs should be drawn above and below the segment touching the previous arcs.

Thus, out of the given options, the first option best suits the next step Herberto should take.

Step-by-step explanation:

5 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?