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castortr0y [4]
3 years ago
10

Write an equation in slope intercept form for the line with slope -4 and y intercept 1

Mathematics
1 answer:
aalyn [17]3 years ago
8 0

Answer:

y = -4x + 1

Step-by-step explanation:

you said, slope of -4, therefore it's -4x and you also said y intercept of 1, therefore it's a positive 1 : +1

combine them together: y = -4x +1

If you have any more questions, please let me know and I am glad to answer any question that are related to math (algebra 1 and geometry). Let me know if you have any more questions and don't forget to click that friend button!

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Find the interquartile range (IQR) of the data in the box plot below. <br><br> Asap ASAP Please PLZ
valina [46]

Answer:

3

Step-by-step explanation:

IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3

8 0
3 years ago
A Ferris Wheel 22.0m in diameter rotates once every 12.5s. What is the ratio of a persons apperenet weight to her real weight (a
AnnZ [28]
  <span>Acceleration of a passenger is centripetal acceleration, since the Ferris wheel is assumed at uniform speed: 
a = omega^2*r 

omega and r in terms of given data: 
omega = 2*Pi/T 
r = d/2 

Thus: 
a = 2*Pi^2*d/T^2 

What forces cause this acceleration for the passenger, at either top or bottom? 

At top (acceleration is downward): 
Weight (m*g): downward 
Normal force (Ntop): upward 

Thus Newton's 2nd law reads: 
m*g - Ntop = m*a 

At top (acceleration is upward): 
Weight (m*g): downward 
Normal force (Nbottom): upward 

Thus Newton's 2nd law reads: 
Nbottom - m*g = m*a 

Solve for normal forces in both cases. Normal force is apparent weight, the weight that the passenger thinks is her weight when measuring by any method in the gondola reference frame: 
Ntop = m*(g - a) 
Nbottom = m*(g + a) 


Substitute a: 
Ntop = m*(g - 2*Pi^2*d/T^2) 
Nbottom = m*(g + 2*Pi^2*d/T^2) 

We are interested in the ratio of weight (gondola reference frame weight to weight when on the ground): 
Ntop/(m*g) = m*(g - 2*Pi^2*d/T^2)/(m*g) 
Nbottom/(m*g) = m*(g + 2*Pi^2*d/T^2)/(m*g) 

Simplify: 
Ntop/(m*g) = 1 - 2*Pi^2*d/(g*T^2) 
Nbottom/(m*g) = 1 + 2*Pi^2*d/(g*T^2) 

Data: 
d:=22 m; T:=12.5 sec; g:=9.8 N/kg; 

Results: 
Ntop/(m*g) = 71.64%...she feels "light" 
Nbottom/(m*g) = 128.4%...she feels "heavy"</span>
7 0
3 years ago
Read 2 more answers
Solve using the quadratic formula
Novay_Z [31]

Answer: 5.17, -0.67


Step-by-step explanation: Solve the equation for p by finding a, b, and c of the qudratic then applying the qquadratic formula

Excact Form: p = 9 + √137/4, 9 - √137/4

Decimal Form:

p = 5.17617497 . . . , -0.67617497 . . .

Hope this helps! :)

~Zane


4 0
3 years ago
How to find the maximum or minimum value of a quadratic function?
kipiarov [429]

Answer:

Vertex form

Step-by-step explanation:

You convert to  vertex form  a(x - b)^2 + c . The coordinates of the maxm/minm will be (b, c).

For example find minimum value of  x^2 + 5x - 6:-

x^2 + 5x - 6

=  (x + 2.5)^2 - 6.25 - 6

= (x + 2.5)^2 - 12.25

The coordinates of minimumm will be (-2.5, -12.25)  The values of the minimum of the function is -12.25

6 0
3 years ago
Which ordered pair is a reflection of (3, 7) across the y-axis?
stich3 [128]
If its a reflection across the y axis the x value is reflected and the y value stays the same, so (-3,7)
4 0
3 years ago
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