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vovikov84 [41]
2 years ago
11

Using the Completing the Square method, what are the zeros of the quadratic function f(x) = 2x2 + 8x - 3?

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
4 0

Answer:

A.

Step-by-step explanation:

1) to rewrite the given equation:

f(x)=2(x²+4x)-3; ⇔ f(x)=2(x²+4x+4)-3-8; ⇔ f(x)=2(x²+4x+4)-11; ⇔ f(x)=2(x+2)²-11;

2) the roots are:

\left[\begin{array}{ccc}x=-\sqrt{\frac{11}{2}}-2 \\x=\sqrt{\frac{11}{2}}-2 \end{array}

3) finally, the correct answer is A.

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A recipe calls for 2/3 cup of milk. If you make 3 1/2 times the recipe, how much milk do you need?
jeka57 [31]

To solve this problem, we need to multiply 2/3 by 3 1/2. We do this because we are making the recipe 3 1/2 times, which means we need the amount of milk for one recipe multiplied by the amount of times you are completing the recipe. To multiply these two numbers, we first need to convert 3 1/2 to an improper fraction. To do this, we multiply the denominator by the whole number and add the numerator, while keeping the same denominator. This is modeled below:

3 1/2 = (2*3 + 1)/2 = (6+1)/2 = 7/2

Now that we have this information, we can multiply our fractions together by simply multiplying the numerators and denominators together (straight across).

2/3 * 7/2 = (2*7)/(3*2) = 14/6

To simplify this fraction, we need to divide both the numerator and the denominator by the GCF, or greatest common factor, of the two numbers. The greatest common factor is 2.

(14/2) / (6/2) = 7/3

To convert this fraction into a mixed number, we must divide, and make the remainder into a fraction.

7/3 = 2 r 1 = 2 1/3

Therefore, your answer is 2 1/3 cups of milk.

Hope this helps!

7 0
4 years ago
Read 2 more answers
The data 5, 3, 6, 8, 7, 8, 3, 11, 10, 3, 2 would have a mean of
KengaRu [80]

Answer:

The mean of a set of number is the sum divided by the number of terms.

The data 5, 3, 6, 8, 7, 8, 3, 11, 10, 3, 2 would have a mean of <u><em>6</em></u>

<u><em></em></u>

I hope this helps you!!!!

3 0
4 years ago
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In the system of equations below, which variable would it be easiest to solve for? x + 4 y = 14. 3 x + 2 y = 12 The easiest to s
Murljashka [212]

Answer:

<h2>The easiest to solve for is x in the first equation</h2>

Step-by-step explanation:

Given the system of equation, x + 4 y = 14. and 3 x + 2 y = 12, to solve for x, we can use the elimination method of solving simultaneous equation. We need to get y first.

x + 4 y = 14............ 1 * 3

3 x + 2 y = 12 ............ 2  * 1

Lets eliminate x first. Multiply equation 1 by 3 and subtract from equation 2.

3x + 12 y = 42.

3 x + 2 y = 12

Taking the diffrence;

12-2y =42 - 12

10y = 30

y = 3

From equation 1, x = 14-4y

x = 14-4(3)

x = 14-12

x = 2

It can be seen that the easiest way to get the value of x is by using the first equation and we are able to do the substitute easily <u>because the variable x has no coefficient in equation 1 compare to equation 2 </u>as such it will be easier to make the substitute for x in the first equation.

5 0
4 years ago
What is the volume of the sphere? Please
Black_prince [1.1K]

Answer:

   3053.6 mm³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³ . . . . . where r is the radius, half the diameter

__

For the given sphere, the volume is ...

  V = 4/3π(9 mm)³ = 972π mm³ ≈ 3053.6 mm³

4 0
3 years ago
Y=2/5x-1 What can be a Scenerio?​
Ipatiy [6.2K]
Use the answer as for photomath
7 0
3 years ago
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