MATHEMATICS MIDDLE SCHOOL

Y=1/3x-2 what is the slope ans the y-intercept

Answers

Answer 1
Answer: Hi there!

When a function is in slope-intercept form, or y = mx + b form, the slope is always the number multiplied by x, or m, and the y intercept is always the number following the slope and x, or b. 

In this case, the slope would be 1/3 and the y intercept would be -2. 

Hope this helps!
Answer 2
Answer: In the equation for a line, y=mx+b, you will find both the slope and the y-intercept. The letter m is your slope, and the letter b is your y-intercept. So, looking at your line's equation, we have y = 1/3x - 2. With this being said, 1/3 is your slope, and -2 is your y-intercept. Does this make sense?

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Which of the following is a solution of the inequality? -3 less than 2x+ 1 less than 5

Find m
(-3x + 20)
(-2x + 55)

Answers

Answer: Solution for (-3x+20)+(-2x+55)=180 equation: x= -21

Step-by-step explanation:

Simplifying

(-3x + 20) + (-2x + 55) = 180

Reorder the terms:

(20 + -3x) + (-2x + 55) = 180

Remove parenthesis around (20 + -3x)

20 + -3x + (-2x + 55) = 180

Reorder the terms:

20 + -3x + (55 + -2x) = 180

Remove parenthesis around (55 + -2x)

20 + -3x + 55 + -2x = 180

Reorder the terms:

20 + 55 + -3x + -2x = 180

Combine like terms: 20 + 55 = 75

75 + -3x + -2x = 180

Combine like terms: -3x + -2x = -5x

75 + -5x = 180

Solving

75 + -5x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-75' to each side of the equation.

75 + -75 + -5x = 180 + -75

Combine like terms: 75 + -75 = 0

0 + -5x = 180 + -75

-5x = 180 + -75

Combine like terms: 180 + -75 = 105

-5x = 105

Divide each side by '-5'.

x = -21

Simplifying

x = -21

Explain how you decide where to place the decimal in the quotients for a and b.16.5 divided by 10
16.5 divided by 100

Answers

Answer:

a) (16.5)/(10)=1.65

b) (16.5)/(100)=0.165

Step-by-step explanation:

Given : a) 16.5 divided by 10

b) 16.5 divided by 100

To find : Explain how you decide where to place the decimal in the quotients for a and b ?

Solution :

Placing the decimal in the quotients,

If the value is multiple of 10 then the decimal is placed to the right according to number of zeros.

For example -(3)/(10)=0.3 it place one value to the right.

Now, We solve the expressions

a) 16.5 divided by 10

i.e.(16.5)/(10)=(165)/(100)=1.65

b) 16.5 divided by 100

i.e.(16.5)/(100)=(165)/(1000)=0.165
1.65

0.165

For example, .000 is in the hundreds place to the right and .00 is the tens place.

A radio station's signal has a radius of 100 miles. If you drive at a constant speed of 40 miles an hour, nonstop, directly across the diameter of the signal, how long can you listen to the station before the signal fades?

Answers

The radius is 100 miles . . . so the diameter is 200 miles (100 miles towards the transmitter and 100 miles going away.

At 40mph it takes 5 hours to drive 200 miles, therefore you could listen to the station for 5 hours.

You can listen to the station for 5 hours before the signal fades

Further explanation

Acceleration is rate of change of velocity.

\large {\boxed {a = (v - u)/(t) } }

\large {\boxed {d = (v + u)/(2)~t } }

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem!

Given:

Radius of Signal = R = 100 miles

Speed of Car = v = 40 miles/hour

Unknown:

Time Taken = t = ?

Solution:

\texttt{Time Taken} = \texttt{Distance} / \texttt{Speed of Car}

\texttt{Time Taken} = \texttt{Diameter of Signal} / \texttt{Speed of Car}

\texttt{Time Taken} = \texttt{2 x Radius of Signal} / \texttt{Speed of Car}

\texttt{Time Taken} = 2 * 100 / \texttt{40}

\texttt{Time Taken} = 200 / 40

\texttt{Time Taken} = 5 \texttt{ hours}

Learn more

Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Signal , Radio , Station , Fade , Nonstop

Plz help with these questions!!

Answers


I feel uncomfortable at having been bamboozled.  You sent me
a message saying you wanted me to "check" your math work. 
Sadly, the truth is that you haven't necessarily tried any of these,
and there's nothing to "check".  What you really want from me is
just the answers.

1).  62,000,000  =  6.2 x 10⁷

2).  -3.05 x 10⁶  =  -3,050,000

3).  0.00000089  =  8.9 x 10⁻⁷

4).  (9.8 x 10²) x (5.9 x 10⁷)  =  (9.8 x 5.9) x (10²⁺⁷) =

                                                      57.82  x    10⁹  =

                                                     5.782  x  10¹⁰ .


5).  (7.2 x 10⁻⁵) / (4.3 x 10⁻³)  =  (7.2 / 4.3) x (10⁻⁵ / 10⁻³) =

                                                       1.67    x  (10⁻⁵ ⁺³)  =

                                                       1.67   x  10⁻² .

Please help I don’t understand how to do this

Answers

Answer:

16. 270/3630

17.240/ 3630

18. 1550/ 3630

19. 560/3630

Step-by-step explanation:

Selected at random means all the books combined which is 3630 the it asks for which ever specific thing which is just the number of those books over the total.

Hope this helps!

Casey likes to run. She runs an additional 1/4 mile each day. On the last day, she ran 1 1/4 miles. If she ran 1/2 mile on her first day, how many days has she been running?

Answers

Three days
1 1/4 = 5/4 
1/2= 2/4
2/4+1/4= 3/4 the first day
5/4-3/4= 2/4 
2/4 = 1/4 and 1/4 = two days
the first day+ two days= 3 days
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