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dexar [7]
3 years ago
5

Solve the system of equations.

Mathematics
1 answer:
Allisa [31]3 years ago
6 0
Y= 6
Ye u think that’s right :)
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Not sure how to do #69, it's a calc 1 question
Gnoma [55]
Let A( t , f( t ) ) be the point(s) at which the graph of the function has a horizontal tangent => f ' ( t ) = 0.

But, f ' ( x ) = [ ( x^2 ) ' * ( x - 1 ) - ( x^2 ) * ( x - 1 )' ] / ( x - 1 )^2 =>
f ' ( x ) = [ 2x( x - 1 ) - ( x^2 ) * 1 ] / ( x - 1 )^2 => f ' ( x ) = ( x^2 - 2x ) / ( x - 1 )^2;

f ' ( t ) = 0 <=> t^2 - 2t = 0 <=> t * ( t - 2 ) = 0 <=> t = 0 or t = 2 => f ( 0 ) = 0; f ( 2 ) = 4 => A 1 ( 0 , 0 ) and A 2 ( 2 , 4 ).
3 0
3 years ago
Whoever responds first will get marked Best!please look at the picture!Which scenario has the same area as the given figure?
Nutka1998 [239]

Answer:

D) 96 is closest

Step-by-step explanation:

12x7=84

1/2(8)(4)=16

84+16=100

A = 30

B = 45

C = 160

D = 96

4 0
3 years ago
Calculate the rate of change from the graph below
qaws [65]

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

  • Δy is the vertical change
  • Δx is the horizontal change

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

∴ Δx = 4 - 0 = 4

∴ Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

∴ m = \frac{3}{4} = 0.75

∵ The x-axis represents the time in minutes

∵ The y-axis represents the amount in gallons

∵ m represents the rate of change

∴ The rate of change = 0.75 gallons per minute

7 0
4 years ago
Find all roots: x^3-7x^2-12x = 0
Pepsi [2]

Answer:

The roots are  0, 3 and 4.

Step-by-step explanation:

x^3-7x^2-12x = 0   Take out x:

x(x^2 - 7x - 12) = 0  Factor the expression in the brackets:

x(x - 3)(x - 4) = 0

x = 0 or x - 3 = 0 or x - 4 = 0, so

The roots are  0, 3 and 4.

5 0
3 years ago
400 grams = 480 ml<br> so,<br> 180 grams = ?
Viefleur [7K]

Answer: 216 ml

Step-by-step explanation:

400 grams = 480 ml

180 grams = ?

Since the value of 180 grams in milliliters is unknown, let the unknown be Z

Thus, 400 grams = 480 ml

180 grams = Z

To get the value of Z, cross multiply

Then, Z x 400 grams = 480ml x 180 grams

400Z = 86400

Divide both sides by 400

400Z/400 = 86400/400

Z = 216

Thus, 180 grams is equal to 216 milliliters.

5 0
3 years ago
Read 2 more answers
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