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Deffense [45]
2 years ago
14

2. Is the following quadratic equation in Vertex form? y = - (x + 2) + 4 O NO O Yes

Mathematics
1 answer:
puteri [66]2 years ago
3 0

Answer:

Step-by-step explanation:

No.  y = - (x + 2) + 4 is not even a quadratic.

If you want a quadratic you must indicate squaring:  y = - (x + 2)^2 + 4.

This IS in vertex form; the vertex is at (-2, 4).

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There are 10 boys and 12 girls in the tennis club. The coach wants to select two players to practice first. Which statements are
Sidana [21]
Since there are 22 participants all in all. The possible combinations of the two picked for practice first is, 
                               22C2 = 231
The probability of picking one from each gender will be solved through the calculation below.
                              (10C1)x(12C1) / 231 = 40/77
In percentage, the answer would be approximately 52%. Thus, the answer is the first choice. 
6 0
3 years ago
Read 2 more answers
Select True or False for each statement.
mote1985 [20]
<h2>Answer:</h2>

For a real number a, a + 0 = a.  TRUE

For a real number a, a + (-a) = 1.  FALSE

For a real numbers a and b, | a - b | = | b - a |.  TRUE

For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c).  FALSE

For rational numbers a and b when b ≠ 0, is always a rational number. TRUE

<h2>Explanation:</h2>

  • <u>For a real number a, a + 0 = a.  </u><u>TRUE</u>

This comes from the identity property for addition that tells us that<em> zero added to any number is the number itself. </em>So the number in this case is a, so it is true that:

a+0=a

  • For a real number a, a + (-a) = 1.  FALSE

This is false, because:

a+(-a)=a-a=0

For any number a there exists a number -a such that a+(-a)=0

  • For a real numbers a and b, | a - b | = | b - a |.  TRUE

This is a property of absolute value. The absolute value means remove the negative for the number, so it is true that:

\mid a-b \mid= \mid b-a \mid

  • For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c).  FALSE

This is false. By using distributive property we get that:

(a + b)(a + c)=a^2+ac+ab+bc \\ \\ a^2+ab+ac+bc \neq a+(b.c)

  • For rational numbers a and b when b ≠ 0, is always a rational number. TRUE

A rational number is a number made by two integers and written in the form:

\frac{u}{v} \\ \\ v \neq 0

Given that a \ and \ b are rational, then the result of dividing them is also a rational number.

7 0
3 years ago
Read 2 more answers
A linear function F models a relationship in which the dependent variable decreases 6 units for every 3 units the independent va
Aleonysh [2.5K]

A. Finding the slope

The slope of the function is simply the ratio of the value of the dependent variable over the independent variable, so in this case it is:

slope = 6/ 3 = 2

 

B. Finding the y – intercept

The y – intercept is simply the value of the dependent variable when the independent variable is equal to zero, therefore:

y – intercept (b) = 4

 

C. Finding the function of the graph

The general equation of a line is given as:

y = m x + b

where m is the slope and b is the y intercept therefore:

y = 2 x + 4

 

D. Finding the x – intercept

The x – intercept is simply the value of the independent variable (x) when the dependent variable (y) is equal to zero, therefore:

0 = 2 x + 4

x = - 2

 

E. Graph the function

<span>Check out the image attached</span>

8 0
2 years ago
Laura is three times as old as Luci. In 5 years, the sum of their ages will be 30. What are the current ages of Laura and Luci?
Scrat [10]

Answer:

Laura is 15 and Luci is 15.

Step-by-step explanation:

Now...

Laura - 3x

Luci - x

In 5 years...

Laura - 3x+5

Luci - x+5

The sum of that is...

4x+10=30

-10       -10

4x=20

4/4  20/4

x=5

If...

Laura - 5 than.....

Luci - 15 because 5*3 is 15

4 0
3 years ago
HELP PLEASE
RideAnS [48]

Answer:

Area of a rectangle

A = lw

7 0
1 year ago
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