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3 years ago

Will give Brainliest (:

2 answers:

6 0

After adding $B^2$ to both sides of the equation in step 4, the constant on the right side of the equation would be 112. Sooooo, choice B. :)

olya-2409 [2.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

2x^2+8x-12=0

with form

ax^2+bx+c=0

move c to the other side

2x^2+8x=12

x^2 is multiplied -> divide equation by 2

x^2+4x=6

complete square:

divide b=4 by 2

4*1/2=2

square 2

2^2=4

add 4 to both sides

x^2+4x=6

x^2+4x+4=6+4

x^2+4x+4=10

transform to polynom

(x+2)^2=10

this left side is option B multiplied by a factor of 16 and therefore equal:

(4x + 8)^2

(4*4)x^2+(4*2*8)x+8*8

16x^2+64x+64

x^2+4+4

bonus: calculate root

x+2=+/-sqrt(10)

x=-2+/-sqrt(10)

<h2 /><h2>so it is option B</h2>

2x^2 + 8x - 12 = 0..divide by 2
x^2 + 4x - 6 = 0
x^2 + 4x = 6...add 4 to both sides of the equation
x^2 + 4x + 4 = 6 + 4
(x + 2)^2 = 10....<== ur constant is 10
x + 2 = (+-)sqrt 10
x = -2 (+ - ) sqrt 10
x = -2 + sqrt 10
x = -2 - sqrt 10

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Someone please help ASAP!!!!! SERIOUS ANSWERS ONLY!!!!!!

Kisachek [45]

Y=mx+b

m=slope

the greater m is the steeper the graph

so the correct answer is B

3 0

3 years ago

The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. The pie and

sergejj [24]

Answer:

130 calories in the ice cream and 500 calories in the pie.

Step-by-step explanation:

Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.

4x-20=500

If we add twenty to both sides, we end up with:

4x=520

Divide both sides by four, and you get x=130.

there are 130 calories in the scoop of ice cream and 130*4-20=500 calories in the pie.

5 0

3 years ago

When I divide 58.4 by 9.6, I get the digits 6 0 8 3Explain how you can use estimation to correctly place the decimal point. Be s

Anastaziya [24]

Answer:

See below

Step-by-step explanation:

58.4/9.6 can be rewritten as 58/10=5.8, so the decimal point will go between the first and second digits. Therefore, 58.4/9.6=6.083

6 0

3 years ago

Need help asap plz help

Soloha48 [4]

Number three is D and number 4 is also D.

Explanation for number three:

When you divide 12 by 3, you get 4. This gives us the number we need to multiply 10 by to get our answer. 10 x 4 = 40

Explanation for number 4:

In the last question, the first step to getting to the answer was to divide the first two numbers. This is no different. When you divide 32.5 by 5, you get 6.5. Then you multiply 10 and 6.5, which equals 65.

8 0

2 years ago

A quadratic equation is shown below:

Valentin [98]

Part A)

The given equation is:

$25 x^{2} +10x+1=0$

The radicand or discriminant(d) of the equation will be:

$d=(10)^{2}-4(25)(1) \\ \\ 
d=100-100 \\ \\ 
d=0$

Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.

Part B)

The given equation is:

$4 x^{2} -4x+1=0$

We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:

$4 x^{2} -2x-2x+1=0 \\ \\ 
2x(2x-1)-1(2x-1)=0 \\ \\ 
(2x-1)(2x-1)=0 \\ \\ 
(2x-1) ^{2}=0 \\ \\ 
2x-1=0 \\ \\ 
x= \frac{1}{2}$

4 0

3 years ago