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aleksklad [387]
1 year ago
6

What is the y-value of the vertex of 4x^+ 8x - 8?

Mathematics
1 answer:
deff fn [24]1 year ago
5 0

Answer: The y-value of the vertex is

Step-by-step explanation: we know that

The equation of a vertical parabola into vertex form is equal to

where

(h,k) is the vertex of the parabola

In this problem we have

-----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

The vertex is the point

The y-value of the vertex is

You might be interested in
Find the total mass of 32 nails each of mass 1.7 grams
Andrews [41]

Answer:

The answer is 54.4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
In a hospital there are 56 TB patients. The patients are grouped with respect to their ages.
zalisa [80]
<span>Table:

Class Boundaries         Frequency

5-10                              8

10-15                            9

15-20                          15

20-25                          10

25-30                           8

30-35                           6
                                ----------
total                           56

Average =

[5+10]/2*8+[10+15]/2*9+[15+20]/2*15+[20+25]/2*10+[25+30]/2*8+[30+35]/2*6
---------------------------------------------------------------------------------------------------
</span>                                                      56

That is 1075 / 56 = 19.2

Answer: 19

5 0
3 years ago
List five rational numbers between -4/5 and -2/3 . Please tell by step by step explaintion ​
attashe74 [19]

9514 1404 393

Answer:

  -0.67, -0.68, -0.69, -0.70, -0.71

Step-by-step explanation:

There are an infinite number of ways to do this.

Perhaps the simplest is to do it in decimal.

 -4/5 = -0.8

  -2/3 = -0.666... (repeating 6)

Any negative decimal number between these values will do. For example, ...

  -0.67, -0.68, -0.69, -0.70, -0.71

__

If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).

  -2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval

  1/6 of this difference is ...

     (1/6)(2/15) = 2/90 = 1/45

The interval end point nearest 0 is ...

  -2/3 = -30/45

so the 5 intermediate values will be that value with -1/45 repeatedly added:

  -31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9

_____

<em>Additional comment</em>

The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.

When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:

  -0.68, -0.685, -0.6853, -0.68531, -0.799

7 0
2 years ago
CAN SOMEBODY ANSWER SOME OF MY MATH QUESTIONS I POSTED ALREADY?
earnstyle [38]

Answer:

ok ill try

Step-by-step explanation:

3 0
3 years ago
What's the present value of $9,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually?
nasty-shy [4]

Answer:

$427.50

Step-by-step explanation:

I think this is the answer because 4.5 percent of $9,500 is $427.50

4 0
2 years ago
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