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Solnce55 [7]
4 years ago
7

MATH QUESTION DOWN BELOW

Mathematics
1 answer:
o-na [289]4 years ago
4 0
The correct answer is 1/3
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Answer the questions below about the quadratic function.
Korolek [52]

Given the function f(x)=3x^2-18x+23. The above function can be written as

f(x)=3x^2-18x+23\\ f(x)=3(x^2-6x)+23\\ f(x)=3(x^2-6x+9-9)+23\\ f(x)=3(x-3)^2-27+23\\ f(x)=3(x-3)^2-4

a)Now, the function f(x)=3(x-3)^2-4 has minimum value since the coefficient of (x-3)^2 is 3>0.

b) The minimum value of the function occurs at x=3 and its value is

f(3)=3(3-3)^2-4 =-4

c)The minimum value of the function occurs at x=3.

6 0
3 years ago
HEEEEEEEEEEEEEEEEEEEEEELP 10 POINTS math vocab 2 questions
sergij07 [2.7K]

Answer:

Number 1: Evaluate (A)

Number 2: Operator (B)


6 0
3 years ago
An expression is shown below. Which expression is equivalent to the expression shown?
Vera_Pavlovna [14]

Note: In option A, it should be "+" instead of "(".

Given:

The expression is

-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)

To find:

The equivalent expression.

Solution:

We have,

-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)

Using distributive property, we get

=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)

=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y

On combining like terms, we get

=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)

=-2x^2+5y^2+xy+3x+9y

The expression -2x^2+5y^2+xy+3x+9y is equivalent to the given expression.

Therefore, the correct option is A.

6 0
3 years ago
The perimeter of a rectangle is 234 meters.
Licemer1 [7]

I am going to show you how easy this is. Once you understand, you will be able to do this forever.

:

Assuming the side of the rectangle are (L) length and (W) width, the perimeter:

2L + 2W = 234

:

"the rectangle is twice as long as it is wide,", the equation for this statement:

L = 2W

:

In the first equation, we can replace L with 2W, then we have

2(2W) + 2W = 234

4W + 2W = 234

6W = 234

Divide both sides by 6

W = 234%2F6

W = 39 meters is the width

:

Remember it said the length is twice the width, therefore:

L = 2(39)

L = 78 meters is the length

:

:

Check this by finding the perimeter with these values

2(78) + 2(39) =

156 + 78 = 234

7 0
3 years ago
Simplify (-3k + p – 1) – (2k – 6p – 2)
Rom4ik [11]

Answer:

-5k+7p+1 I THINK

Step-by-step explanation

destribute the negative

(-3k + p – 1) – (2k – 6p – 2)

-2k+6p+2

add to the (-3k + p – 1) to simplify

-5k+7p+1

3 0
3 years ago
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