what is y=(-2/3)x+400 as a function?

The work is shown in the attached images. Each equation is labeled for slope intercept and standard form

y=-1/5x +18/5

5y+x=18

The equation of line passing through point (-2,4) and parallel to x+5y=7 in

standard form is [tex]x+5y =18[/tex]

slope intercept form is [tex]y = \frac{-1}{5}x + \frac{18}{5}[/tex]

The equation of line is  a linear equation with degree of one and an algebraic form of representing the set of points, which together form a line in a coordinate system.

[tex](y-y_{1} ) = m(x-x_{1} )[/tex]

where,

[tex](x_{1}, y_{1} )[/tex] are the points through which  the line passes

m is the slope of line

(slopes of parallel lines are equals)

According to the given question

we have

Equation of line x+5y=7

a point (-2,4)

slope of the line x+5y = 7 by placing it into slope intercept form:

x+5y = 7

⇒ 5y = -x+7

⇒ y = [tex]\frac{-x}{5} +\frac{7}{5}[/tex]

the slope of the line, m=[tex]\frac{-1}{5}[/tex]

here, the point (-2,4) and slope is  m= [tex]\frac{-1}{5}[/tex]  

therefore the equation of line which is parallel to x+5y =7 and passing through (-2,4) is:

[tex](y-4)=\frac{-1}{5}(x-(-2))[/tex]

⇒[tex](y-4) = \frac{-1}{5} (x+2)[/tex]

⇒ [tex]5(y-4)= -x-2[/tex]

⇒[tex]5y-20 = -x-2[/tex]

⇒[tex]x+5y= 20-2[/tex]

⇒ [tex]x+5y = 18[/tex]

so,

(a). the equation of line in slope intercept form is given by

[tex]5y= -x+18[/tex]

[tex]y = \frac{-1}{5}x+\frac{18}{5}[/tex]

(b). the standard form of line is x+5y = 18.

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Answer:

2

Step-by-step explanation:

Answer:

The correct option is b.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu\\[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As the sample size is large, i.e. n = 100 > 30, the Central Limit Theorem can be used to approximate the sampling distribution of sample mean number of phone calls your business receives daily.

Compute the probability that the average number of phone calls your business receives daily is more than 21 as follows:

[tex]P(\bar X>21)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{21-20.6}{4.4/\sqrt{100}})\\\\=P(Z>0.91)\\\\=1-P(Z<0.91)\\\\=1-0.81859\\\\=0.18141\\\\\approx 0.1814[/tex]

Thus, the correct option is b.

Answer:

Step-by-step explanation:

It takes 36 minutes less time to travel 120 miles by car at night than by day because the lack of traffic allows the average speed at night to be 10 miles per hour faster than in the daytime. Find the average speed ,

Hope this helps:)

Answer:

A bank teller has 47 $20 and $5 bills.

The value of the bills is $490.

Number of $20 bills --> x

Number of $5 bills --> y

x + y = 47 --> x = 47-y

20x + 5y = 490 --> 20x = 490-5y

so

20(47-y) = 490 -5y

940-20y = 490-5y

940-490 = -5y+20y

15y = 450

y= 30

so

x = 47-30

x = 17

IN TOTAL --> 17 $20 bills and 30 $5 bills.

Answer:

x = 17 $20 bills

y = 30 $5 bills

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define variables

x = # of $20 bills

y = # of $5 bills

Step 2: Set up systems of equations

[tex]\left \{ {{x+y=47} \atop {20x+5y=490}} \right.[/tex]

Step 3: Solve for x

By solving for x, we now know that we have 17 $20 bills.

Step 4: Solve for y

Now we know that we have 30 $5 bills.

Answer: the answer is 55°

Step-by-step explanation:

You equal the equations out and the number you get from doing that is the fill in for x and the you solve one of the equations replacing x with the number gotten

Answer:

-1.75

Step-by-step explanation:

The z-score = (n - m) / d  where n is the value (13) m = mean and d = standard deviation.

= (13 - 20) / 4

= -1.75  (answer)

Answer:

The answer would be positive 10 this is because the additive inverse is the same number but different sign which yours is a negative sI it is positive 10.

Answer:

10

Step-by-step explanation:

The additive inverse of - 10 is 10.

Additive inverse are basically the opposites of the number so all you need to do is switch the signs. In this case,  you have to switch -10 to its opposite, which is 10.

To check -10 + 10 = 0.

Answer:

That the graph of (f+g)(x) is a parent graph of f(x) and g(x)

Answer:

A. The leading coefficients of f(x) and g(x) are opposite

Step-by-step explanation:

Answer:

1/8 is a terminatating fraction.

Step-by-step explanation:

1/8 = 12.5

Answer:

c

Step-by-step explanation:

sorry what is the question I can't read it

Answer:

Step-by-step explanation:

∠2 = ∠5

3x - 20 = x + 20

3x - x = 20 + 20

2x = 40

x = 40/2

x = 20

Answer:

y=6x+8

Step-by-step explanation:

Write in slope-intercept form, y=mx+b.

Answer:

80/7                                                                                                                                                          

Step-by-step explanation:

Answer:

A pencil costs $0.50

A binder costs $3.00

A notebook costs $2.50

Step-by-step explanation:

Represent Notebook with N, Pencil with P and Binder with B

For Anna:.

2N + P + 3B = 14.50

For Josh:.

N + 4P + B = 7.50

For Alex:

3N + 2P + 2B = 14.50

Required

Solve for N, P and B

Make N the subject in the second equation

N + 4P + B = 7.50

N = 7.50 - 4P - B

Substitute 7.50 - 4P - B for N in the first equation

2N + P + 3B = 14.50

2(7.50 - 4P - B) + P + 3B = 14.50

Open Bracket

15.0 - 8P - 2B + P + 3B = 14.50

Collect like terms

3B - 2B + P - 8P = 14.50 - 15.0

B - 7P = -0.50

B = 7P - 0.50

Substitute 7.50 - 4P - B for N in the third equation

3N + 2P + 2B = 14.50

3(7.50 - 4P - B) + 2P + 2B = 14.50

22.50 - 12P - 3B + 2P + 2B = 14.50

Collect Like Terms

2P -12P + 2B - 3B = 14.50 - 22.50

-10P - B = -8

Multiply through by -1

10P + B = 8

Recall that B = 7P - 0.50

10P + B = 8 becomes

10P + 7P - 0.50 = 8

17P - 0.50 = 8

17P = 8 + 0.50

17P = 8.50

Divide through by 17

P = 8.50/17

P = 0.50

This implies that a pencil costs $0.50

Substitute 0.50 for P in B = 7P - 0.50

B = 7 * 0.50 - 0.50

B = 3.50 - 0.50

B = 3.00

This implies that a binder costs $3.00

Substitute 3.00 for B and 0.50 for P in N = 7.50 - 4P - B

N = 7.50 - 4 * 0.50 - 3.00

N = 7.50 - 2.00 - 3.00

B = 2.50

This implies that a notebook costs $2.50

Answer:

13, 16.5, 12

Step-by-step explanation:

-7x= -91 divide both sides by -7 to isolate x

[tex]\frac{-7}{-7} x=\frac{-91}{-7}[/tex] any number divided by itself like in -7/-7 =1

x=13

0.5x + 1.75 = 10 subtract 1.75 from both sides

0.5x +1.75-1.75 =10 -1.75

0.5x = 8.25 divide by 0.5 both sides

[tex]\frac{0.5}{0.5} x=\frac{8.25}{0.5}[/tex]

x=16.5

0.75h +3=12 subtract 3 from both sides

0.75h = 12-3 divide both sides by 0.75

[tex]h= \frac{9}{0.75}[/tex] = 12

Answer:

Asymptote: y = 4

Domain: All positive real numbers x > 0

Range: 0 [tex]\leq \\[/tex] y [tex]\leq \\[/tex] 4

Zero: Root at zero

x-intercept: at zero

y-intercepts: none

f(1)= 2

f(9)= 3

Step-by-step explanation:

Answer: 10,206

Step-by-step explanation: 9,450x0.08 = 756 + 9,450

Answer:

8694

Step-by-step explanation:

9450x0.08=756

9450-756=

Answer:

X=24

Step-by-step explanation:

Answer:

D. The number of degrees of freedom

The value of df is 31

Step-by-step explanation:

Degrees of freedom (DF) denotes the amount of information provided by the data you can "consume" to estimate unknown population parameters' values and calculate the variability of those estimates.

Increasing the sample size provides more information about the population, which increases the degrees of freedom present in the data.

Given that:

The sample size in the study (n) = 32

The degree of freedom df = n - 1

The degree of freedom df = 32 - 1

The degree of freedom df = 31

Answer:

A,B,C and F

Step-by-step explanation:

i just took the assignment

Answer:

a,b,c,f

Step-by-step explanation:

edg 2021

Answer:

B. the function is strictly decreasing.

Step-by-step explanation:

Just took the test on Plato.

Answer:

The function is strictly decreasing.

Step-by-step explanation:

Plato/Edmentum

Answer:

m<4= 60

m<1=60

m<3=30

Step-by-step explanation:

I'd like to explain but I would be very difficult to do with out being in person

Answer:

m1 = 60°

m2 = 90°

m3 = 30°

m4 = 60°

Step-by-step explanation:

m<5 + m<4 = 180° ( on a straight line)

120° + m<4 = 180°

m<4 = 60°

m<2 = m<3 + m<4

90° = m<3 + 60° ( on a straight line)

m<3 = 90° - 60°

m<3 = 30°

m<1 + m<2 + m<3 = 180°

m<1 = 180 - 90 -30

m<1 = 60°

Answer:

the second option y<2x-3. how i know its collect because i used desmos

The inequality that the graph has shown is

y < 2x - 3

Option B is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

From the graph, we have the following coordinates.

(0, -3) and (1.5, 0)

The coordinates can be found in the following inequalities.

Now,

y < 3x + 1

y = 3x + 1

When x = 0, y = 1

This is not possible.

y < 2x – 3

y = 2x - 3

When x = 0, y = -3

This is possible.

y > 2x - 3

y = 2x - 3

When x = 0, y = -3

This is possible

The shaded portion of the graph is more on the negative y-axis.

So,

y < 2x - 3.

Thus,

The graph given has shown y < 2x - 3.

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Answer:

(0,2)

Step-by-step explanation:

move 1 unit left = (0,1)

move 1 unit up = (0,2)

Answer:

If you are talking about graphs it would be (2,2)

Step-by-step explanation: Also

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We are acting like everything is alright, when we actual want to break down and cry. We are acting like we are brave, when we are scared and afraid. We are acting like when can do anything, when we think we can't do anything. We are acting like we love those who hate us because we are to afraid to say the truth. We are acting like people who are to afraid to show who they really are. We are acting like life is a fairytale, but it's actual a nightmare. We are acting like we are the most happiest people, but really we just want to curl up inside. We are acting like we want to stay, when we want to run away. We are acting like we a doing just fine, When we are about to give up. We need to change, don't worry about those who hate. Don't worry about the way you look. Don't worry about who you really are. Just be yourself. Just relax. Just the real person you our. It doesn't matter what they say. The only thing that matters is if you like you the real you, not someone you are trying to pretend to be, but the real you.

There is always love, when there's only hate. There is always hope, when hope seems lost. There is always someone, when we have no one. There is always a light, when in there is darkness. There is always a way out, when we are stuck. There is always happiness, when we feel only sadness. There is always angels, when we only see demons. There is always someone to talk to, when there seems no one to talk to. There is always beauty, when things get ugly. There is always hope. There is always love. There is always someone. There is always a light. We might want to give up. We might want to lose the fight. We might want to stop trying. We might want to run away. No matter what, no matter what's happening right now, no matter if there seem like everything is falling apart or there is just a feeling that you need to give up. Always remember there is someone out there who needs you. There is always someone to talk to. There is always hope. Don't give up, don't give up. As there is always love, hope and happiness.

Sometimes in life we need a dose of happiness, sometimes we need someone to talk to, sometimes we need someone to hold on to, but sometimes we just wanna be alone, sometimes we need no one to talk to or hold. Their are those with nothing at all and there are those who have everything, but sometimes we have nothing but still everything, sometimes we have everything but nothing. Sometimes we wonder, sometimes we don't. Sometimes we try but fail and sometimes we don't try but yet succeed. Sometimes we cry, sometimes we get mad. Sometimes we do wrong, sometimes we do right. Sometimes we hate, sometimes we love. Sometimes we get our heart broken, sometimes we break peoples heart. Sometimes we tell the truth, but we are still lying. Sometimes we just need to relax but yet we can't. Sometimes we need quiet in a big city. Sometimes we are afraid of the unknown and sometimes we are not. Sometimes we discover. Sometimes we challenged. Sometimes we fall in love. Sometimes we find joy in a room of sadness. Hope this helps, have a wonderful day.

Answer:

The slope of the problem is 4.

Answer:

Step-by-step explanation:

Let the equation of the cosine function is,

y = Acos(Bx)

From the graph attached,

A = Amplitude = [tex]\frac{1-(-1)}{2}[/tex]

   = 1

B = [tex]\frac{2\pi}{\text{Period}}[/tex]

B = [tex]\frac{2\pi}{\frac{\pi}{2}-0}[/tex]

B = [tex]\frac{4\pi}{\pi}[/tex]

B = 4

Therefore, equation of the cosine wave given in the graph will be,

y = 1.Cos(4x)

y = Cos(4x)

Answer:

B

Step-by-step explanation: