3 years ago

Wayne is solving a system of linear equations.

1 answer:

3 0

If you use the property of substitution, you can get (-2, 6.5) as your answer. Substitute the value of X (-2) in the initial equation and solve for Y.

Y= -3/4 (-2) +5 ( I am sure you inadvertently put the Y here also)
Y= 6/4 + 5
Y = 6.5

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PLEASE HELP FAST!!<br> Will mark brainlest!!

Elina [12.6K]

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3 years ago

Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x3 + 2. Include the averag

Serhud [2]

Answer:

147

Step-by-step explanation:

Average rate of change is given by the total rise over total run.

$f(x) = 3x^3+2\\f(3)=3*3^3+2=83\\f(5)=3*5^3+2 = 377$

So,

total rise = 377 - 83 = 294

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average rate of change = $\dfrac{294}{2} = 147$

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3 years ago

Given the trinomial 2x2 − 5x + 3, what is the value of the Discriminant and what can be said about the solutions.

valina [46]

The formula to finding a discriminant would be b^2-4ac, the b value of this trinomial being -5, the a value being 2, the c value being 3. Then, you plug the values in the equation and solve: (-5)^2-4(2)(3)
This would simplify to 1, meaning there are two solutions since the discriminant value is positive. If it is 0, there is one solution, if it is negative, then there are no real solutions.

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3 years ago

Divide the number 20 into two parts (not necessarily integers) in a way that makes the product of one part with the square of th

Ilya [14]

Answer:

13 1/3 and 6 2/3.

Step-by-step explanation:

Let the 2 parts be x and (20 - x).

So x^2(20 - x) must be a maximum.

y = x^2(20 - x)

y = 20x^2 - x^3

Finding the derivative):

y' = 40x - 3x^2 = 0 for maxm/minm value.

x( 40 - 3x) = 0

40 - 3x = 0

3x = 40

x = 40/3.

This is a maximum because the second derivative y" = 40 - 6x = 40 - 6(40/3)) is negative.

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3 years ago

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using

klio [65]

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Note that y = f(x)

Given

9x + 3y = 12 ← Rearrange making y the subject

Subtract 9x from both sides

3y = - 9x + 12 ( divide all term by 3 )

y = - 3x + 4, thus

f(x) = - 3x + 4

4 0

3 years ago