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34kurt
3 years ago
13

What would be the most logical first step for solving this quadratic equation?

Mathematics
1 answer:
PolarNik [594]3 years ago
4 0

Answer:

D

Step-by-step explanation:

So that you can have an equation equal to zero to solve for x

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A group of 4 friends is playing cards. The deck has 70 cards. To start the game, the dealer makes a pile of 15 cards in the cent
ale4655 [162]

Answer:

14 cards

Step-by-step explanation:

70 - 15 = 55

55/4 = 13.75

Therefore, the highest number of cards someone is able to get is 14.

4 0
3 years ago
F(x)=9 x^{3} +2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)? Show all of your steps and write your finial answer in factored f
olasank [31]

Answer:

{ -0.5 - √2,  0,  -.5 + √2 }

Step-by-step explanation:

Let's rewrite these two functions in a vertical column:

 f(x)=9 x^{3} +2x^2-5x+4

-g(x)=5x^3-7x+4

Now combine (through subtraction) like terms, in order of descending powers of x:

f(x) - g(x) = 4x^ 3 + 2x^2 + 2x

Let's do some preliminary factoring here.  Factor 2x out of each term, obtaining

f(x) - g(x) = 2x(2x^2 + x + 1)

First setting 2x = 0, we find that x = 0 is one solution.

Applying the quadratic formula to 2x^2 + x + 1, we see that a = 2, b = 1 and c = 1.  Then the two roots of this quadratic are:

      -1 plus or minus √(1^2 - 4(2)(1) )        -1 ± √(8)

x = ----------------------------------------------- = ---------------

                         2(1)                                         2

This simplifies to:

      -1 plus or minus √(1^2 - 4(2)(1) )        -1 ± 2√(2)

x = ----------------------------------------------- = ---------------

                         2(1)                                         2

Thus, the roots of f(x) - g(x) are { -0.5 - √2,  0,  -.5 + √2 }

7 0
3 years ago
A store sells milk in 8 ounce cartons for $1.12. What is the unit price per ounce of milk
Kruka [31]

Answer:

$0.14 per ounce

Step-by-step explanation:

6 0
3 years ago
) Turner helped his grandfather build a raised garden bed for Turner's grandmother. The
worty [1.4K]

The length of the garden bed is 6 feet

<h3>The volume of a rectangular prism</h3>

The formula for calculating the volume of a rectangular prism is expressed as:

V = lwh

If turner and his grandfather used 18 bags of topsoil, each containing 3/4 of a cubic foot, to fill the bed completely, hence;

V = 3/4 * 18

V = 13.5 cubic foot

In order to determine the length of the garden;

135/10 = 9/2 * 1/2l

27/2 =9/4 l

18l = 27 * 4

18l = 108

l = 6 feet

Hence the length of the garden bed is 6 feet

Learn more on volume of rectangular prism here: brainly.com/question/24284033

5 0
2 years ago
To get the value of an expression you add
frez [133]
When we substitute a specific valuefor each variable, and then perform the operations, it's called evaluating theexpression. Let's evaluate theexpression 3y + 2y when 5 = y. Click on the steps to see how it's done. Perform the operations, to find the value of the expression.
6 0
3 years ago
Read 2 more answers
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