1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zalisa [80]
3 years ago
14

What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?

Mathematics
2 answers:
yan [13]3 years ago
8 0
It’s -4,-18 the is for sure the right answer
scoundrel [369]3 years ago
7 0
Thé vertex of the graph of the following function f(x)=x2+8x-2 is (-4,-18).
You might be interested in
Some transportation experts claim that it is the variability of speeds, rather than the level of speeds, that is a critical fact
scZoUnD [109]

Answer:

Explained below.

Step-by-step explanation:

The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².

(1)

The hypothesis for both the test can be defined as:

<em>H</em>₀: The variance of speeds does not exceeds 75 (mph)², i.e. <em>σ</em>² ≤ 75.

<em>Hₐ</em>: The variance of speeds exceeds 75 (mph)², i.e. <em>σ</em>² > 75.

(2)

A Chi-square test will be used to perform the test.

The significance level of the test is, <em>α</em> = 0.05.

The degrees of freedom of the test is,

df = n - 1 = 55 - 1 = 54

Compute the critical value as follows:

\chi^{2}_{\alpha, (n-1)}=\chi^{2}_{0.05, 54}=72.153

Decision rule:

If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.

(3)

Compute the test statistic as follows:

\chi^{2}=\frac{(n-1)\times s^{2}}{\sigma^{2}}

    =\frac{(55-1)\times 94.7}{75}\\\\=68.184

The test statistic value is, 68.184.

Decision:

cal.\chi^{2}=68.184

The null hypothesis will not be rejected at 5% level of significance.

Conclusion:

The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.

7 0
3 years ago
How do you change 14/20 into a decimal
lyudmila [28]
The answer is 0.7 Have a nice day   
4 0
3 years ago
Read 2 more answers
if the diameter of the table cloth measures 50 inches which measurement is closest to the area of the tablecloth
never [62]
 50 x 3.14 = 157  i think this is the answer
3 0
2 years ago
Celinda thought of 89.5 in parts, 80 + 9 + 0.5, and divided each part: 80 ÷ 10 = 8; 9 ÷ 10 = or 0.9; 0.5 ÷ 10 = 0.05. Then she a
Arlecino [84]

Answer:

Dividing each part into 10 and then summing the results up, is equivalent to dividing 89.5 into 10.  

Step-by-step explanation:

This example refers to the Distributive Property of the division, which is valid when the dividend is decomposed.

A simple example could be: 400 ÷ 10 = (200 ÷ 10) + (200 ÷ 10)

In the exposed example we know that 89.5 = 80 + 9 + 0.5.

  • <u>Option 1</u>

(80/10) + (9/10) + (0.5/10) =

8 + 0.9 + 0.05=

8.95

  • <u>Option 2</u>

89.5/10 = 8.95

     

8 0
2 years ago
Five less than one third of a number is two more than half of the same number. Find the number.
I am Lyosha [343]
5 less (-5) than 1/3 of number (n/3) is (=) 2 more than (2+) half of the number (n/2)


-5+n/3=2+n/2
add 5 to both sides
n/3=n/2+7
times 6 both sides
2n=3n+42
minus 2n both sides
0=n+42
minus 42 boh sides
-42=n

the number is -42


the number is 18
8 0
3 years ago
Read 2 more answers
Other questions:
  • If you triple 4 and subtract to each day how many days until you have zero
    6·1 answer
  • The square root of 49 is how much less than four squared
    10·2 answers
  • What’s 1,979 divided by 3 ?
    15·2 answers
  • Help me plz u will make my day
    13·1 answer
  • #1 What is the explicit equation of the sequence 10125, 2025, 405, 81, ..? *
    14·1 answer
  • For every point on the graph of FX there is a point on the graph of -1x with reversed coordinates
    14·1 answer
  • Solve 2 log x = log 64. (1 point)
    11·1 answer
  • WILL GIVE BRAINLIEST! That is the distance, including the variable, for the plane after t hours? Note: This is what you would ha
    9·1 answer
  • ​ Quadrilateral ABCD is a rectangle. BE=4x+3 and AC=12x−10.
    14·1 answer
  • What is the inverse of {(2, 4), (-3, 5), (7, -1), (9, 0)}?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!