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stepladder [879]
3 years ago
13

Write an equation in slope intercept form of the line with a slope of -3/4 and a y-intercept of -5

Mathematics
1 answer:
Lina20 [59]3 years ago
5 0
Y= -3/4x - 5
slope intercept form is y=mx + b
the mx is your slope, in this equation -3/4
the b is the y intercept, where the line first crosses the y axis. in this equation -5.

hope this helps :)
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The temperature is -3.5 degrees Fahrenheit at 7:00 am. During the next 4 hours, the temperature decreases by -15.5 degrees. What
Kruka [31]
-19 degrees Fahrenheit
7 0
3 years ago
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a t
Mekhanik [1.2K]

Answer:

Large Box = 18.5

Small Box = 15.75

Step-by-step explanation:

Let x = large box and y = small box

5x+6y=187

3x+2y=87

cancel out one equation

(5x+6y=187)•3=15x+18y=561

(3x+2y=87)•-5=15x+10y=435

 15x+18y=561

-15x-10y=-435

–––––––––––

 0+ 8y= 126

  8y÷8 =126÷8

y=15.75

Substitute y into either original equation

3x+2(15.75)=87

3x+ 31.5=87

3x+ 31.5-31.5=87-31.5

3x=55.5

3x÷3=55.5÷3

x=18.5

5 0
3 years ago
Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?
Tju [1.3M]

Answer:

Maximum\ value\ =9 ,at\ x=3

Step-by-step explanation:

From the question we are told that:

Function given

f(x) = -x^2 + 6x

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

-2x+6

Therefore critical point

x=3

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

F(1)=-(1)^2 + 6(1)\\F(1)=5

For 4

F(4)=-(4)^2 + 6(4)\\F(4)=8

For critical point 3

F(3)=-(3)^2 + 6(3)\\F(3)=9

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Maximum\ value\ =9 ,at\ x=3

3 0
3 years ago
Read 2 more answers
Tara has a magnet collection from places she visited. She measures the length of the magnets to the nearest half inch and record
gregori [183]

Answer:

there are more magnets that  longer than 2 1/2

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From the photo, we can see that:

Length of the magnet:

  • 1 inch there is 1 magnet
  • 1\frac{1}{2} inches there are 2 magnets
  • 2 inches there are 3 magnets
  • 3 inches there are 4 magnets
  • 3\frac{1}{2} there is 1 magnet
  • 4 inches there are 2 magnets

=> the total number of magnets that  longer than 2 1/2 are: 4+1+2 = 7

=> the total number of magnets that  shorter than 2 1/2 are: 1+2+3 = 6

Hence, there are more magnets that  longer than 2 1/2

Hope it will find you well.

8 0
3 years ago
Read 2 more answers
Identify the slope of the line that is perpendicular to the line y = 2/3x+5​
Genrish500 [490]

the slope is of the equation is 2/3

7 0
3 years ago
Read 2 more answers
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