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3 years ago

The graphs below have the same shape. What is the equation of the blue graph?

Mathematics

1 answer:

andrey2020 [161]3 years ago

8 0

The answer is D of the equation

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PLEASE HELP

kifflom [539]

$\\ \sf\longmapsto \dfrac{x^2-1}{x^2+5x+4}\leqslant 0$

Solving denominator

$\\ \sf\longmapsto x^2+5x+4>0$

$\\ \sf\longmapsto x^2+4x+x+4>0$

$\\ \sf\longmapsto x(x+4)+1(x+4)>0$

$\\ \sf\longmapsto (x+4)(x+1)>0$

$\\ \sf\longmapsto x>-4\:or x>-1$

Hence x $\neq$ -1
x can't be 0 as it makes function undefined

$\\ \sf\longmapsto -4$

5 0

2 years ago

Solve 8x = 1 quick plz

Ulleksa [173]

Answer:

x = 1/8 = 0.125

Step-by-step explanation: Add 1 to both sides of the equation :

8x = 1

Divide both sides of the equation by 8:

x = 1/8 = 0.125

4 0

3 years ago

I don’t understand this can someone help me?

solong [7]

Answer:

Step-by-step explanation:

You know that:

X is congruent to angle Z which means they are the same size

the straight line below is equal to 180

Y is a right angle so its equal to 90

So that means:

if x and z are equivalent that means they are equal to 2x essentially

and if you add 90 you will get the total of the line

Hope this helps!!! :)

6 0

3 years ago

Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and \$0.08$0.08dollar sign, 0, point,

FromTheMoon [43]

Answer: At least 713 paintballs

Step-by-step explanation:

Based on the information that has been given in the question, the inequality that'll be used to solve the question will be:

18+0.08B≥75

0.08B≥75-18

0.08B≥57

B≥57/0.08

B≥712.5

Carolina needs to buy at least 713 paintballs along with the entrance fee to get the promotion.

4 0

3 years ago

Read 2 more answers

Problem1 The behavior of a physical system can be described by the following first order differential equation: dy/dt=2y +t^2

daser333 [38]

Answer:

$y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}$ .

Step-by-step explanation:

Using first order linear differential equation:

$\dfrac{\mathrm{d} y}{\mathrm{d} t} = 2y + t^2$

$\frac{\mathrm{d} y}{\mathrm{d} t} - 2y =t^2$

finding integrating factor:

I.F = $e^{\int -2dt}$

I.F = $e^{-2t}$

now,

$y = \dfrac{1}{IF}(\int t^2dt+ c )$

$y = \dfrac{1}{e^{-2t}}(\int t^2dt+ c )$

$y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}$

hence the solution is

$y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}$

8 0

3 years ago