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RoseWind [281]
3 years ago
5

Select the correct inequality for the graph given

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0

Answer:

y<= 3x-1

Step-by-step explanation:

When it comes about inequalities, keep in mind the following

the < sign means that the regions is under whatever is to other side, and the > means that the region is above whatever is on the other side of the sign

So, we see for the graphic that there is a region below a line, this suggests us that there is a < sign implied

The other thing is that there is a convention in math, is the line is graphed using a dashed line, it meas that it is not part of the region, if the line is graphed using a solid line (a continued line) then the line is inside the region, hence there is a = sign implied.

So the answer is y<= 3x-1

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What is the y-intercept of the graph of the equation y=4(3^x)?
eimsori [14]

Answer:

The y-intercept is (0, 4).

Step-by-step explanation:

At the y-intercept x = 0 so

y = 4(3^0)

y = 4*1 = 4.

So the y-intercept is (0, 4).

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3 years ago
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Which function can be used to represent the graphed geometric sequence
11111nata11111 [884]
ANSWER

f(x)=80( \frac{1}{4}) ^{x-1}


EXPLANATION

The term of the sequence are;

80,20,5,...


The first term of the sequence is,

a_1=80



The common ratio is

r =  \frac{20}{80}

r =  \frac{1}{4}

The sequence is given by the formula


f(x)=a_1r^{x-1}


When we substitute the values into the formula we get,

f(x)=80( \frac{1}{4}) ^{x-1}


The correct answer is A
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3 years ago
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Simplify<br> 23 + 4.8<br> Plz help
Nataly [62]

Answer:

40

Step-by-step explanation:

plz mark B R A I N L I E S T

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The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 m
rusak2 [61]

Answer:

0.59375

Step-by-step explanation:

In a uniform distribution the probability that the time t is greater than any given value, X, is:

P(t\geq X)=1-\frac{X}{b-a}

In this problem, the limits of the distribution are a = 0 and b = 8 minutes.

For X =3.25 minutes:

P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

8 0
3 years ago
Find a formula for Y(t) with Y(0)=1 and draw its graph. What is Y\infty?
tino4ka555 [31]

Answer:

(a)\ y(t)\ =\ -2e^{-2t}+3

(b)\ y(t)\ =\ 4e^{-2t}-3

Step-by-step explanation:

(a) Given differential equation is

   Y'+2Y=6

=>(D+2)y = 6

To find the complementary function, we will write

D+2=0

=> D = -2

So, the complementary function can be given by

y_c(t)\ =\ C.e^{-2t}

To find the particular integral, we will write

y_p(t)\ =\ \dfrac{6}{D+2}

          =\ \dfrac{6.e^{0.t}}{D+2}

           =\ \dfrac{6}{0+2}

           = 3

so, the total solution can be given by

y_(t)\ =\ C.F+P.I

         =\ C.e^{-2t}\ +\ 3

y_(0)=C.e^{-2.0}\ +\ 3

but according to question

1 = C +3

=> C = -2

So, the complete solution can be given by

y_(t)\ =\ -2.e^{-2.t}\ +\ 3

(b) Given differential equation is

   Y'+2Y=-6

=>(D+2)y = -6

To find the complementary function, we will write

D+2=0

=> D = -2

So, the complementary function can be given by

y_c(t)\ =\ C.e^{-2t}

To find the particular integral, we will write

y_p(t)\ =\ \dfrac{-6}{D+2}

           =\ \dfrac{-6.e^{0.t}}{D+2}

           =\ \dfrac{-6}{0+2}

           = -3

so, the total solution can be given by

y_(t)\ =\ C.F+P.I

         =\ C.e^{-2t}\ -\ 3

y_(0)\ =C.e^{-2.0}\ -\ 3

but according to question

1 = C -3

=> C = 4

So, the complete solution can be given by

y_(t)\ =\ 4.e^{-2.t}\ -3

4 0
3 years ago
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