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2 years ago

What is the equation for the axis of symmetry for this quadratic function

Mathematics

2 answers:

hammer [34]2 years ago

7 0

Answer: x = -2

Step-by-step explanation: That axis of symmetry is the

fold line or the line that splits the parabola down the middle.

The line that makes this parabola symmetrical is x = -2.

So our axis of symmetry is x = -2.

An easy way to find it is average the zeros (x-intercepts) and multiply by 1/2.

So here, -4 + 0 is -4 and -4(1/2) is -2.

Lady bird [3.3K]2 years ago

3 0

Answer:

The answer to your question is x = -2

Step-by-step explanation:

Process

Identify the kind of curve. This is a vertical parabola that opens upwards.

The axis of symmetry is the line that divides the parabola into two identical sections.

This line must be a vertical line that passes through the Vertex.

The Vertex is the lowest point of the parabola. Vertex = (-2, -4).

Then, the axis of symmetry must be x = -2

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Given the following information, determine if one of the brands is a better buy. Brand A: 14 ounces for $44. 66 Brand B: 20 ounc

maksim [4K]

Division is one of the basic mathematical operations. The cost of Brand A and B is the same.

<h3>What is division?</h3>

The division is one of the most basic arithmetic operations. It is used to find the number of times a number is been added to itself.

Given to us

Brand A: 14 ounces for $44.66

Brand B: 20 ounces for $63.80

To compare the two brands we will find the cost of one ounce for each brand.

For Brand A,

The cost of 14 ounces is $44.66, therefore,

$\text{Cost of one ounce} = \dfrac{\$44.66}{14}\\\\\text{Cost of one ounce} = \$3.19$

For Brand B,

The cost of 20 ounces is $63.80, therefore,

$\text{Cost of one ounce} = \dfrac{\$63.80}{20}\\\\\text{Cost of one ounce} = \$3.19$

From the above two values, we can conclude that the cost of Brand A and B is the same.

Learn more about Division:

brainly.com/question/369266

4 0

2 years ago

(3x+2)∧2=9 how do i solve this in the square root property

Irina18 [472]

$(3x+2)^2=9 \\\\9x^2+12x+4-9=0\\\\9x^2+12x-5=0\\\\a=9,\ \ b=12, \ \ c=-5$

$x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a}=\frac{-12-\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12-\sqrt{144+180}}{18}=\\\\=\frac{-12-\sqrt{324}}{18}=\frac{-12-18}{18}=\frac{-30}{18}=-\frac{5}{3}\\\\x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-12+\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12+18}{18}=\frac{6}{18}=\frac{1}{3} \\\\Answer: \ x=-\frac{5}{3}\ \ and \ \ x=\frac{1}{3}$

6 0

3 years ago

You buy a used car for $10,000. The value of the car decreases by22% each year. Approximately how much is the car worth in 3 yea

IRINA_888 [86]

Answer:

The value will be $3,400 after 3 years

Step-by-step explanation:

Convert the percentage into the cash decrease each year, multiply that by 3 and then subtract $10,000 by the sum.

.22 x 10,000 = 2,200

2,200 x 3 = 6,600

10,000 - 6,600 = 3,400

6 0