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3 years ago

Which represents a quadratic function y=2(x+2)(x-1) in standard form

Mathematics

1 answer:

ale4655 [162]3 years ago

4 0

answer: y= 2x^2+2x-4
steps:
y= (2x+4)(x-1)
*FOIL method* y= (2x^2-2x+4x-4)
*simplify* y= 2x^2+2x-4

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What is the area of this figure?

nalin [4]

Answer:

290.5 square miles

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

$Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles$

Solution; 290.5 square miles

4 0

2 years ago

Solve the following system by any method -8x-8y=0 -8x+2y=-20

iVinArrow [24]

$\fbox{Solution by using Matrix}$

$\text{Linear Equation} = -8x-8y=0 , -8x+2y=-20$

$\text{Rewrite the linear equations above as a matrix}$

$\left[\begin{array}{ccc}8&-8&0\\-8&2&-20\\\end{array}\right]$

$\text{Apply to Row2 : Row2 + Row1}$

$\left[\begin{array}{ccc}8&-8&0\\-8&-6&-20\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}8&-8&0\\0&1&10/3\\\end{array}\right]$

$\text{Note: The matrix is now in echelon form.}$ $\text{The steps below are for back substitution.}$

$\text{Apply to Row1 : Row1 + 8 Row2}$

$\left[\begin{array}{ccc}8&0&80/30\\0&1&10/3\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}1&0&10/3\\0&1&10/3\\\end{array}\right]$

$\text{Therefore, the solution is}$

$x= \dfrac{10}{3} \ \text{and} \ \ y=\dfrac{10}{3}$

7 0

2 years ago

Could 10.3cm 4.4cm and 8.3 cm be the side lengths of a triangle yes or no

evablogger [386]

Answer:

Step-by-step explanation:

As you probably know, triangles have 3 sides. The longest side is called the hypotenuse. In this case, the hypotenuse is 10.3. Now, you might or might not know the pythagorean theorem, which states that the a² + b² =c ². 

In this case, we can say that 4.4 is a and 8.3 is b. Now if we square 4.4 and add it to 8.3 squared, we get 88.25. However, if you square 10.3, you get 106.09. Thus, the values cannot be this way. So, your answer is no.

3 0

2 years ago

In a group of 10 people, there are 4 people that have the flu virus. Suppose we pick 3 random persons to test in order to determ

Murljashka [212]

Answer:

Tests is 100% Accurate, so by using the formula of random variable probability.

Step-by-step explanation:

Total number of people = 10

Sample space = p(A) = 10

Number of people that have flu = n(s) = 4

Pick random 3 persons, the possibility that they have flue is n(A) = ?

Let X is the random variable, consisting of number of positive flu test,

Tests is 100% Accurate, so by using the formula of random variable probability, we get

P(X) = n (A) / n(S)

P(X) = ¾, is the probability of having positive flu test

5 0

3 years ago

S = 2πrh + 2πr2 for h

Rzqust [24]

Answer:

Step-by-step explanation:

Oh great!

6 0

3 years ago

Read 2 more answers