MATHEMATICS HIGH SCHOOL

What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?Factor 6 out of each term.
Factor 6 out of the first two terms.
Write the function in standard form.
Write the trinomial as a binomial squared

Answers

Answer 1
Answer: f(x) = 6x² + 5 - 42x

first step in writing the f(x) in vertex form? WRITE THE FUNCTION IN STANDARD FORM.

f(x) = 6x² - 42x + 5

Exponents must be in decreasing order. 
Answer 2
Answer:

Answer:

Option 3rd is correct

Write the function in standard form.

Step-by-step explanation:

The standard form of the quadratic equation is given by:

y=Ax^2+Bx+C

As per the statement:

Given the function:

f(x) = 6x^2+5-42x

We have to find the first step writing f(x) vertex form.

Firstly, write the given function in standard form

by definition we have;

f(x) = 6x^2-42x+5

Therefore, the first step writing f(x) vertex form is, Write the function in standard form.

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Dwight is making accessories for the soccer team. He uses 648.62 inches of fabric on headbands for 39 players and 2 coaches. He also uses 331.89 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

24.33 inches

Step-by-step explanation:

inches of fabric on headbands = 648.62 inches

39 players and 2 couches = 41 people

Inches of fabrics per person = Total headbands inches / number of people

= 648.62 inches / 41

= 15.82 inches per person

Inches of fabrics used for headbands per person = 15.82 inches

inches of fabric on wristbands = 331.89 inches

Used for players alone

Inches of fabrics for wristband pee person = Total inches of fabrics for wristband / number of people

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= 8.51 inches

Inches of fabrics used for wristband per person = 15.82 inches

How much fabric was used on a headband and wristband for each player?

= Inches of fabrics used for headbands per person + Inches of fabrics used for wristband per person

= 15.82 inches + 8.51 inches

= 24.33 inches

Inches of fabrics used on headband and wristband for each player is 24.33 inches

The endpoints of AB are A(4, 2) and B(1,-2). What are the coordinates of the midpoint of AB?
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Answers

Answer:

Step-by-step explanation:

How do you find the midpoint of A and B?

To calculate it:

Add both "x" coordinates, divide by 2.

Add both "y" coordinates, divide by 2.

Final answer:

The coordinates of the midpoint of the line segment with endpoints A(4, 2) and B(1, -2) are found by averaging the corresponding x- and y-coordinates of the endpoints. This yields a midpoint of (2.5, 0)

Explanation:

The coordinates of the midpoint of the line segment with endpoints A(4, 2) and B(1, -2) can be determined by the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.

Therefore, the x-coordinate of the midpoint is:

(x1 + x2) / 2 = (4 + 1) / 2 = 2.5

and the y-coordinate of the midpoint is:

(y1 + y2) / 2 = (2 + -2) / 2 = 0

Hence, the coordinates of the midpoint of AB are (2.5, 0).

Learn more about Midpoint Formula here:

brainly.com/question/15085041

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What is the fewest number of sides a polygon can have?

Answers

3 (forming a triangle) because you have draw a closed shape using segments :)

Multiply the binomials: (z 5)(z-7)

Answers

I hope this help you.

Lisa has a certain amount of money. She spent 39 dollars and has 3/4th of the original amount left. How much money did she have originally

Answers

If \frac { 3 }{ 4 } is left, that means \frac { 1 }{ 4 } was spent. So \frac { 1 }{ 4 } of the total amount is equal to 39.. Let's say x to the total amount. \frac { 1 }{ 4 } \cdot x=39\n x=4\cdot 39\n x=156\n
$156, $39 is 1/4 of the money so 39 * 4 = 156

Luke saves 10p coins and 20p coins he has 3 times as many 10p coins as 20p coins a total of 17 pounds how 10p coins does he have ?

Answers

Answer:

10p coins does he have 102

Step-by-step explanation:

given data

saves=  10p coins and 20p coins

total = 17 pounds

to find out

how 10p coins does he have

solution

we consider here no of  20p coin = x

so equation will be here

3 ×  10 x  +20 x = 1700

30 x + 20 x = 1700

x = 34

so that

10p coins    = 3 time × 34  = 102    

20p coins    =  34

so that 10p coins does he have 102

Answer:

I'm not sure how euros work but I'm almost certain there are 18 20p coins

Step-by-step explanation:
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