(7)/(3) of it is 5 (5)/(6)

Answer:

1) y > x² + 4x - 5, y > x + 5

2) Rational

Step-by-step explanation:

For a parabola, if the shade is inside the curve then the value of y will be greater or equal to:

For a line, if the shade is above it then the value of y will be greater or equal to:

Therefore, since parabola doesn't have solid curve (--- graph) then the inequality is ">"

Therefore, the inequality for parabola is y > x² + 4x - 5

For a line, it does not have solid graph so the inequality is ">"

Therefore, the inequality for line is y > x + 5

-----------

The graph of function describes the shape of rational function. It cannot be exponential as exponential only has one curve. It cannot be logarithm  for same reason as exponential. It cannot be polynomial as polynomial is continuous function but the graph is discontinuous at specific point x = 0.

That being said, all choices except rational are all continuous function by default but rational function isn't and since the graph is discontinuous then we can say that it's rational function.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming that your expression is:}[/tex]

[tex]\textsf{0.5x = 0}[/tex]

[tex]\huge\textbf{If so, let's solve for the given expression:}[/tex]

[tex]\textsf{0.5x = 0}[/tex]

[tex]\huge\textbf{Divide 0.5 to both of the sides you have:}[/tex]

[tex]\mathsf{\dfrac{0.5x}{0.5} = \dfrac{0}{0.5}}[/tex]

[tex]\huge\textbf{You have to simplify the equation above:}[/tex]

[tex]\mathsf{x = \dfrac{0}{0.5}}[/tex]

[tex]\mathsf{x = 0}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = }\frak{0}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The required equation for a line passing through point A and perpendicular to BC exists 2y + 5x = 31.

First, we must obtain the slope of the line perpendicular to BC

Given the coordinates B(7,5), and C(2,3)

Get the slope BC, exists

[tex]$m_{BC} = \frac{3-5}{2-7}[/tex]

= -2/-5 = 2/5

The slope of the line perpendicular to BC will be -5/2.

The slope of the required line in point-slope form exists expressed as;

[tex]$y - y_0 = m(x - x_0)[/tex]

m = -5/2

[tex](x_0, y_0) = (3, 8)[/tex]

Substitute the values into the formula we get

y - 8 = (-5/2)(x - 3)

2(y - 8) = (-5)(x - 3)

2y - 16 = (-5x + 15)

2y + 5x = 15 + 16

2y + 5x = 31

Therefore the required equation for a line passing through point A and perpendicular to BC exists 2y + 5x = 31.

To learn more about the slope of the line refer to:

https://brainly.com/question/19466805

#SPJ9

The solution to the Questions are

where

u=13

n^2=0.16

[tex]\sigma=\sqrt{0.16}\\\\\sigma=0.4[/tex]

a)

Generally, the equation for is  mathematically given as

[tex]X-N(u=13,\sigma=0.4)[/tex]

p(x<14)=P(z<\frac{13-13}{0.4})

P(z<0)

P=0.5

Therefore

P(z<0)=50%

b)

In conclusion

W=(u+2\sigma)

W=(13+2*0.4)

W=13+0.8

W=18.08oz

Read more about  probability

https://brainly.com/question/795909

#SPJ1

See the graph in the attached image.

Answer:

[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]

Step-by-step explanation:

Let's write the equation of the line in the slope-intercept form. That is, y= mx +c, where m is the slope and c is the y-intercept.

Identify 2 coordinates on the line to calculate the slope.

The 2 points are (1, 2) and (4, 4).

Slope

[tex]=\frac{y_1-y_2}{x_1-x_2}[/tex]

= [tex]\frac{4-2}{4-1}[/tex]

= [tex]\frac{2}{3}[/tex]

Substitute the value of the slope into m:

[tex]y=\frac{2}{3}x+c[/tex]

Substitute any point into the equation to find c:

When x= 1, y= 2,

[tex]2= \frac{2}{3}(1)+c[/tex]

Solve for c:

[tex]c= 2-\frac{2}{3}[/tex]

c= [tex]\frac{4}{3}[/tex]

Thus, the equation that represents the line is [tex]y=\frac{2}{3}x+\frac{4}{3}[/tex].

Additional:

Should you wish to learn more about slope-intercept form, do check out the following!

Answer:

see explanation

Step-by-step explanation:

to evaluate f(a) substitute x = a into f(x)

f(a) = 5a + 4

---------------------

2f(a) = 2(5a + 4) = 10a + 8

-----------------------

to evaluate f(2a) substitute x = 2a into f(x)

5(a + 2) + 4 = 5a + 10 + 4 = 5a + 14

--------------------------

f(a) + f(2) ← substitute x = 2 into f(x)

= 5a + 4 + 5(2) + 4 = 5a + 4 + 10 + 4  = 5a + 18

Answer:

The answer to your question is C.n ≥ 7

Step-by-step explanation:

I hope this helps and have a good day!

From the table, we can deduce that The y-values increase by a factor of 7 for each x increase of 1 and is denoted as option C.

This is defined as a number which divides another without leaving a remainder afterwards.

From the table, we can deduce that the y-values are divisible by 7 thereby  making it a factor of it and confirming that it increase by a factor of 7 for each x increase of 1.

Read more about Factor here https://brainly.com/question/219464

#SPJ1

Answer:

112°

Step-by-step explanation:

Angles on a line add to 180°.

Answer:

1/10

Step-by-step explanation:

the probability of drawing r the first time is 2/5, if tina had gotten the r the first time, the probability of drawing r on the second time is 1/4, so the probability tina draws an r twice is 2/5 * 1/4, or 2/20, or 1/10

When x = -2, we use the second part of the function, so g(-2)=0.

Similarly, g(4) = -4.

Answer:

x = 117

Step-by-step explanation:

Foremost, we know that the three angles of the triangle always add up to 180 degrees.

So, there are two sides which are 27 degrees and 36 degrees, we need to find the third one's degree.

Add 27 and 36 (27 + 36 = 63)

Two sides equal 63.

Then, subtract 180 - 63 = 117

So the third angle's measurement is 117 degrees. The answer is 117.

To check, add 117 + 27 + 36 = 180

Hope it helps.

Answer:

18.4 units

Step-by-step explanation:

We can use the distance formula, d = [tex]\sqrt{(x_{1}-x_{2}) ^{2} +(y_{1}-y_{2}) ^{2}}[/tex] to find the length of the line segment.

d = [tex]\sqrt{(x_{1}-x_{2}) ^{2} +(y_{1}-y_{2}) ^{2}}[/tex] = [tex]\sqrt{(5+12) ^{2} +(-10+3) ^{2}}[/tex] = [tex]\sqrt{(17) ^{2} +(7) ^{2}}[/tex]=[tex]\sqrt{338}[/tex]=18.38

Answer:

7 packs of hots dogs if they had 56 for the party 8 divided by 56 is 7

The equation is 8p=56. Hence p=7 and they bought 7 packs of hot dogs. Hope it helps : )

The expression of the given logarithmic function 2log(2/√5) is; D: -0.097

From logarithmic Identities, we know that;

log (x/y) = log x - log y

log (x * y) = log x + log y

Thus;

2log(2/√5) = 2[log 2 - log √5)

Now, log √5 can also be expressed as;

log √5 = ¹/₂log 5

Thus;

2log(2/√5) = 2[log 2 - ¹/₂log 5]

⇒ 2 log 2 - log 5

We are given the values;

log2≈0.301, log3≈0.447, log4≈0.602, log5≈0.699

Thus;

2log(2/√5) = 2 log 2 - log 5 = 2(0.301) - 0.699

⇒ -0.097

Read more about Logarithmic Function Identities at; https://brainly.com/question/10208274

#SPJ1

Answer:

B. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6}

D. f(-1) = 6

Step-by-step explanation:

The question gives a table marking the different coordinate pairs for a function, where f(x) is y. The top row represents the x-values and the bottom row represents the y-values.

Domain

The domain of a function is the set of x-values that the graph covers. In this case, the x-values are all integers between -2 and 6. We can see this in the top row of the table. Answer choice B best represents this domain.

Solving for F(x)

F(x) represents a specific y-value, for example, f(-1) represents the y-value when x = -1. So, to test choice D, we need to find what y-value matches -1 on the table. The table shows that when x = -1, f(x) = 6. This means that answer choice D must be correct.

Distributive Property :

[tex]\boxed {a(bx + c) = a(bx) + a(c)}[/tex] or

[tex]\boxed {(ax + b)(cx + d) = acx^{2} + bcx + adx + bd}[/tex]

Question 1 :

Question 2 :

Question 3 :

Question 4 :

Answer:

A

Step-by-step explanation:

Substitute a + 2 for x:

f(a + 2) = 3 [ (a + 2) + 5 ]  + 4 / (a + 2)

            = 3 [ a + 7 ] + 4 / (a + 2)

Answer:

A.

Step-by-step explanation:

The solution to the system of inequalities is given as Graph II.

A group of two or more inequalities in one or more variables is referred to as a system of inequalities.

When a problem demands a variety of solutions and those solutions must satisfy many constraints, systems of inequalities are utilized.

The system of inequality,

2x - y < 4

x + y < -1

First we draw the graph of both line. So make table of each line

For line 2x - y < 4

x  :    -1        0        1

y  :    -6     -4       -2

Test point (0,0)

0 - 0 < 4

0 < 4

True (Shade towards origin)

For line x + y < -1

x  :    -1        0        1

y  :    0        -1       -2

Test point (0,0)

0 + 0 < -1

    0 < -1

False (Shade away from origin)

Plot the points graph.

Learn more about system of inequalities:

https://brainly.com/question/9774970

#SPJ1

Full Question:

The graphs associated with the question are attached.

Answer: [tex]5i\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{-50}\\\\=\sqrt{-1} \sqrt{50}\\\\=5i\sqrt{2}[/tex]

Since the function is h(t) = −5t² + 15t, the domain of the function h(t) is  0 ≤ t ≤ 3

The domain of a function is the range of input values that make the function have real values.

Now given the function h(t) = −5t² + 15t, it will have real values when

h(t) ≥ 0

So, h(t) ≥ 0

⇒  −5t² + 15t ≥ 0

Factorizing, we have

-5t(t - 3) ≥ 0

5t(t - 3) ≤ 0

t(t - 3) ≤ 0

t ≤ 0 and t - 3 ≤ 0

t ≤ 0 and t ≤ 3

For t ≤ 0, say -1, t(t - 3) = -1(-1 - 3) = -1(-4) = 4 ≥ 0

For 0 ≤ t ≤ 3, say 2, t(t - 3) = 2(2 - 3) = 2(-1) = -2 ≤ 0

For t ≥ 3, say 4, t(t - 3) = 4(4 - 3) = 4(1) = 4 ≥ 0

Since we require  t(t - 3) ≤ 0, the domain of t is thus 0 ≤ t ≤ 3

So, the domain of the function h(t) is  0 ≤ t ≤ 3

Learn more about domain of a function here:

https://brainly.com/question/204418

#SPJ1

Answer:

  y = -1/4(x +4)² +4

Step-by-step explanation:

The equation of a parabola with focus (a, b) and directrix y=d can be written using the form ...

  y = 1/(2(b-d))(x -a)² +(b+d)/2

We are given (a, b) = (-4, 3) and d=5. Using these values in the above form gives the equation ...

  y = 1/(2(3-5))(x -(-4))² +(3+5)/2

  y = -1/4(x +4)² +4

Distance formula ds = v(dx² + dy²) s = ? v(1 + (dy/dx)²) dx ......... s = the arc length y = 171 - x²/45

chegg

someone solved it on this

https://youtu.be/UGjXlMVdZvc

The value of x is 78

Given:

[tex]\frac{m}{FCD}=x+48\\\\ \frac{m}{BCD} =x+17\\\\\frac{m}{BCD} =95^0[/tex]

From the given equations, two of them are exactly equivalent

The equivalent equations are compared below

x  +  17   =  95

x  =  95  -  17

x  =  78

Learn more on equivalent equations here: https://brainly.com/question/2972832

#SPJ1

Option A, The option that has the same potential roots according to the rational root theorem is 3x5 – 2x4 – 9x3 + x2 – 12.

We have p, this is the factors of the number 12.

The factors are ±(1, 2, 3, 4, 6, 12)

We have factors of q = 3

= ±(1, 3)

The rational roots are the roots that have the same factors that are contained in the question.

Hence the answer is A.

Read more on Rational root theorem here:

https://brainly.com/question/2072459

#SPJ1

Answer:

The Answer is A

Step-by-step explanation:

Did it on edge :)

Using trigonometric identities, the simplified expression, without quotients, is given as follows:

A. [tex]\cos{\beta}\cot{\beta}[/tex]

The cosecant of an angle is given by one divided by the sine of the angle, hence:

[tex]\csc{\beta} = \frac{1}{\sin{\beta}}[/tex]

The sine and the cosine of an angle are related as follows:

[tex]\sin^2{\beta} + \cos^2{\beta} = 1[/tex]

[tex]\cos^2{\beta} = 1 - \sin^2{\beta}[/tex]

The cotangent of an angle is:

[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]

The expression given is:

[tex]\csc{\beta} - \sin{\beta}[/tex]

Simplifying the cosecant:

[tex]\csc{\beta} - \sin{\beta} = \frac{1}{\sin{\beta}} - \sin{\beta} = \frac{1 - \sin^{2}\beta}{\sin{beta}}[/tex]

Then, applying the last two identities in the subsection above to remove the quotient, the simplified expression will be found as follows:

[tex]\frac{1 - \sin^{2}\beta}{\sin{beta}} = \frac{\cos^2{\beta}}{\sin{\beta}} = \frac{\cos{\beta}}{\sin{\beta}} \times \cos{\beta} = \cos{\beta}\cot{\beta}[/tex]

Hence option A is correct.

More can be learned about trigonometric identities at https://brainly.com/question/26676095

#SPJ1