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VLD [36.1K]
2 years ago
8

Write a linear function

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
6 0

Answer:

The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.

Step-by-step explanation:

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At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
Papessa [141]

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

3 0
3 years ago
John invested $4,500 at 5.5% annual simple interest. His maturity value of his investment was $5,545. How long did John invest t
mart [117]

John invested the money at simple interest for 4.22 years.

We have,

Invested amount = $ 4500

Rate of interest = 5.5 %

Time = t years

Maturity value = $ 5545

So,

Total interest earned =  $ 5545 - $ 4500 = $ 1045

And,

Simple interest = (Principal × Rate × Time ) / 100

So, Using the mentioned formula,

1045 = ( 4500 × 5.5 × t ) /100

1045 = 45 × 5.5 × t

⇒

t = (1045) / (45 × 5.5)

⇒ t = 4.22 years

Therefore, John invested the money at simple interest for 4.22 years.

Learn more about simple interest here:

brainly.com/question/22621039

#SPJ10                  

6 0
2 years ago
Please help me it urgent i need help i beg you guys!
nordsb [41]

Solve for y in the first equation.

3 0
3 years ago
Hey! This is my first question! The equation is relatively simple but something makes me not understand it. Your help would be g
Law Incorporation [45]

Answer:101°

Step-by-step explanation:

79 + 101=180

7 0
3 years ago
Read 2 more answers
What degree measure is equivalent to -4pie over 9
xxMikexx [17]
Anyway
2pi radians=360
so
-4pi/9radians=xdegrees

2pi/360=-4pi/9r/x
times both sides by 360x
2xpi=-1440pi/9
2xpi=-160pi
divide both sides by 2pi
x=-80
80 degres
5 0
3 years ago
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