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Orlov [11]
3 years ago
13

Write the quadratic question f(x)=3x^2-24x+49 in the form of f(x)= a(x-h)^2+k

Mathematics
1 answer:
vredina [299]3 years ago
7 0

Answer:

f(x) = 3(x -4)^2 +1

Step-by-step explanation:

Usually you start by factoring the leading coefficient from the first two terms:

f(x) = 3(x^2 -8x) +49

Now, you add the square of half the x-coefficient inside parentheses, and subtract the same quantity outside.

f(x) = 3(x^2 -8x +(-4)^2) -3(-4)^2 +49

= 3(x -4)^2 -48 +49

f(x) = 3(x -4)^2 +1 . . . . . . . . the vertex form you desire

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2(x-5)+8=4<br><br>what does x equal?​
Ostrovityanka [42]

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x−5)+8=4

(2)(x)+(2)(−5)+8=4(Distribute)

2x+−10+8=4

(2x)+(−10+8)=4(Combine Like Terms)

2x+−2=4

2x−2=4

Step 2: Add 2 to both sides.

2x−2+2=4+2

2x=6

Step 3: Divide both sides by 2.

2x/2 = 6/2

x=3

7 0
3 years ago
at a school number of boys:number of girls = 9:7 . There are 116 more boys than girls. Work out the total number at the school
Westkost [7]
612 Boys and 476 Girls
8 0
3 years ago
If a rectangle has side lengths 5x-y and x+4y what would be the area and perimeter of the rectangle?
Dafna1 [17]

Answer:

<em>Answer is</em><em> </em><em>given</em><em> </em><em>below with explanations</em><em>. </em>

Step-by-step explanation:

given \:  \: l = 5x - y \: and \: \:  b = x + 4y \\ area \: of \: rectangle \:= l \times b \: sq.units \\  = (5x - y)(x + 4y) \\  = 5 {x}^{2}  + 20xy - xy - 4 {y}^{2}  \\  = 5 {x}^{2}  + 19xy - 4 {y}^{2}  \\ perimeter \: of \: rectangle \\  = 2(l + b) \\  = 2(5x - y + x + 4y) \\  = 2(6x + 3y) \\  = 12x + 6y

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

6 0
3 years ago
Which statement about this figure is true?
Arisa [49]

Answer: I'm thinking it's reflectional symmetry.

Step-by-step explanation:

3 0
3 years ago
-7x^2+10=185 how to solve
bonufazy [111]

Answer:

-7x²=185-10

-7x²=175

x²=-25

x=±√-25

6 0
3 years ago
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