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djverab [1.8K]
2 years ago
11

The graph of the function f(x) = –(x + 6)(x + 2) is shown below. On a coordinate plane, a parabola opens down. It goes through (

negative 6, 0), has a vertex at (negative 4, 4), and goes through (negative 2, 0). Which statement about the function is true? The function is increasing for all real values of x where x –2. The function is decreasing for all real values of x where x < –4.
Mathematics
2 answers:
Dmitriy789 [7]2 years ago
7 0

Answer:

The function is increasing for all real values of x where x is -2

Step-by-step explanation:

You can put your work in a graphing calculator

seropon [69]2 years ago
6 0

Answer:

see below

Step-by-step explanation:

f(x) = –(x + 6)(x + 2)

The function is increasing until it reaches the vertex, so it will increase until x=-4.  The function will decrease after the vertex, so after x = -4

increasing: -∞ < x < -4

decreasing : -4 < x < ∞

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To make lemonade, you used one quart of water, one pint of lemon juice, and 9 ounces of your secret ingredient: honey. How much
WITCHER [35]
To solve this problem you must follow the proccedure shown below:

 1. Amount of lemonade in pints:

 1 <span>quart of water=2 pints
 1 pint of lemon
 (9  ounces of honey)(0.0625 pints/1 ounce)=0.56 pints

 Total in pints=2 pints+1 pint+0.56 pints
 Total in pints=3.56 pints

 2. </span>Amount of lemonade in<span> cups:

 Total in cups=(3.56 pints)(2 cups/1 pint)
 Total in cups=7.12 cups

 
3. </span>Amount of lemonade in<span> ounces:

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4 0
1 year ago
A study was conducted to determine if there was a difference in the driving ability of students from West University and East Un
Sholpan [36]

Answer:

There is no significant evidence which shows that there is a difference in the driving ability of students from West University and East University, <em>assuming a significance level 0.1</em>

Step-by-step explanation:

Let p1 be the proportion of West University students who involved in a car accident within the past year

Let p2 be the proportion of East University students who involved in a car accident within the past year

Then

H_{0}:p1=p2

H_{a}:p1≠p2

The formula for the test statistic is given as:

z=\frac{p1-p2}{\sqrt{\frac{p*(1-p)*(n1+n2)}{n1*n2} } }  where

  • p1 is the <em>sample</em> proportion of West University students who involved in a car accident within the past year (0.15)
  • p2 is the <em>sample</em> proportion of East University students who involved in a car accident within the past year (0.12)
  • p is the pool proportion of p1 and p2 (\frac{15+12}{100+100}=0.135)
  • n1 is the sample size of the students from West University (100)
  • n2 is the sample size ofthe students from East University (100)

Then we have z=\frac{0.03}{\sqrt{\frac{0.135*0.865*(100+100)}{100*100} } } ≈ 0.6208

Since this is a two tailed test, corresponding p-value for the test statistic is ≈ 0.5347.

<em>Assuming significance level 0.1</em>, The result is not significant since 0.5347>0.1. Therefore we fail to reject the null hypothesis at 0.1 significance

6 0
1 year ago
A certain forest covers an area of 4000 km2. Suppose that each year this area decreases by 7%. What will the area be after 5 yea
Levart [38]
Answer:

2,600

Explanation:

Your first step is to find 7% of 4000 ( this is what it is decreasing by per year).
As a result you end up with 280.
Multiply 280 by 5.
1,400 should be your answer( amount of km decreasing after 5 years). This is a decreasing forest, so you subtract 4,000by 1,400.
8 0
2 years ago
A gym charges $40 per month after an initial service fee. One member paid a total of $255 after 6 months. Find the equation that
sattari [20]
Y = 40x +15 because it charges 15$ as it's initial service fee and it charges an additional $40 a month so you multiply 40 times the number of months and add 15 to get the total after x amount of months
3 0
1 year ago
Read 2 more answers
Solution to the inequality 16x−33x&lt;37x+27.
astra-53 [7]

<em><u>The solution to the inequality is:</u></em>

x>\frac{-1}{2}

<em><u>Solution:</u></em>

Given inequality is:

16x-33x

We have to find the solution to given inequality

\mathrm{Add\:similar\:elements:}\:16x-33x=-17x

-17x

\mathrm{Subtract\:}37x\mathrm{\:from\:both\:sides}

-17x-37x

Simplify the above inequality

-54x

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

Remember that, change the inequality sign if you divide or multiply both sides by a negative number

If you divide or multiply both sides by a positive number,the inequality sign will not change

\left(-54x\right)\left(-1\right)>27\left(-1\right)\\\\54x>-27

\mathrm{Divide\:both\:sides\:by\:}54

\frac{54x}{54}>\frac{-27}{54}\\\\x>-\frac{1}{2}

Thus the solution to inequality is found

3 0
2 years ago
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