Answer:
The average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.
Step-by-step explanation:
We are given the function:
[tex]f(x)=x^2-6x+4[/tex]
And we want to determine its average rate of change over the interval:
[tex]1\leq x\leq 4[/tex]
The average rate of change is synonymous with the slope. So, to find the average rate of change, we simply need to find the slope between the two endpoints.
Evaluate each endpoint:
[tex]f(1)=(1)^2-6(1)+4=-1[/tex]
[tex]f(4)=(4)^2-6(4)+4=-4[/tex]
So, our endpoints are (1, -1) and (4, -4).
The slope between them is:
[tex]\displaystyle m=\frac{(-4)-(-1)}{(4)-(1)}=\frac{-3}{3}=-1[/tex]
So, the average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.
Is (x+4)^2 equivalent to 2x^2+8x+8? Explain or show your reasoning.
answer: no because they have different x values
(x + 4) 2 —> 2x + 8
2 x 2 + 8x + 8 —> 8x + 12
teachers response:
Your answer is correct in that they are not equivalent. But I need you to show me what (x+4)^2 equals. First, you would write it this way: (x+4) (x+4). Now, multiply these binomials…what do you get?
please help!!
Answer:
It's wrong because the y intercepts are different
Step-by-step explanation:
The box method is OP for these kind of questions
If I don't do a good job explaining it then I reccomend you consult the internet
The expression (x + 4)² is not equivalent to the expression 2x² + 8x + 8.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (x + 4)²
Simplify the expression, then we have
⇒ (x + 4)²
⇒ (x + 4)(x + 4)
⇒ x² + 8x + 16
Thus, the expression (x + 4)² is not equivalent to the expression 2x² + 8x + 8.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ3
The data in the table below shows the
number of degrees the temperature rose
after sunrise on a particular day. Determine
if this data represents a proportional
relationship. If yes, give the rate.
Hours
Past
Sunset
Degree
Change
3
5.25°
4.
7°
6
10.5°
8
14°
Which of these is the algebraic expression for "six more than the product of seven and some number?"
The diagram shows a triangle. What is the value of w?
Answer:
A triangle has 180 degrees, so 44+13w+4w=180 Solve for w.
17w=136 w=8
Step-by-step explanation:
Find the value of x.
A straight line = 180 degrees.
180 - 114 = 66 degrees
Brianna has 3 posters she wants to hang on the wall. How many different ways can
the posters be arranged in a row?
The answer is 6
Answer:
print them out or something
Help pls?!!!! For brainlest and extra points
Answer:
12cm squared
Step-by-step explanation:
The area of a triangle is 1/2bh
A = 1/2 x 4 x 6
A = 4 x 3
A = 12 cm squared
Answer:
The answer is B: 12 cm^2.
Step-by-step explanation:
The formula for the area of a triangle is b * h / 2 (base times height divided by two).
6 * 4 = 24
24 / 2 = 12
And since we're looking for area, the answer would be squared, as all areas are.
The answer: 12 cm^2.
Brainliest would be really really greatly appreciated!!!!
The graph below is the solution for which sets of inequalities?
Answer:
the first one
Step-by-step explanation:
i did the test and got it right
Answer
1
Step-by-step explanation:
what is the mean of the following data values? 53,71,89,10,87
Answer:
63
Step-by-step explanation:
Mean=Sum of all values/number of observation
=53+71+89+10+87/5
=310/5
=62
It's 62
Just took test
Melly wants to simplify the expression 323/5
Answer:
64 3/5
Step-by-step explanation:
Need help dhdudhehebdhdbdhdbdhbdbdbshsshhshsshhshsshhshs
Plz help meee
Find the x and the y
Plz I need work to
write 43600000×56000 in scientific notation
Answer:
(4.36x10^7)x(5.6x10^4)
Step-by-step explanation:
To answer the question what is 43600000 in scientific notation let’s recall how to convert 43600000 to scientific notation as detailed on our home page.
When you split the number 43600000 into a coefficient and a power of 10 you do get 43600000 in exponential form, but there is an indefinite number of possibilities.
As you probably want 43600000 in normalized scientific notation, the coefficient or significand of 43600000 in scientific notation must be in the interval [1,10[.
As there are many ways to express 43600000 in scientific notation, in this post we mean 43600000 in normalized scientific notation, unless stated otherwise. Therefore:
43600000 in scientific notation = 4.36 × 107.
Now you can do that for the other one to found out what it is equal to.
What is the radius of a circle that has an area of 89 square feet?
Answer:
5.32255ft
Step-by-step explanation:
A
π=89
π
Answer:
5.3
Step-by-step explanation:
The equation is A=πr²
The area is 89 so 89=πr²
89/π=r²
√89/π =r
r=5.322554
The time spent by a teacher on schoolwork during the weekend is normally distributed with a mean of 6 hours and a standard deviation of 1.2 hours.
a) What amount of time do the bottom 20% of teachers work?
b) What amount of time do the top 20% of teachers work?
c) What amount of time do the middle 40% of teachers work?
what is 0.7777 rounded 3 decimal places ?
Answer:
0.778
Step-by-step explanation:
This is because 7 is greater than 5 so you would round it up.
Answer:
0.778
Step-by-step explanation:
0.7777 rounded to the nearest 0.001 or the thousandths place.
Dave rolled a number cube 10 times and recorded the frequency of each result in this table.
According to the table, what is the experimental probability in simplest form that the number cube shows 6?
A. 1/10
B. 1/6
C. 3/10
D. 1/2
Tim filled his beach ball with 800 cubic inches of air. It loses 30% of its remaining air every 15 days. Which expression models how much air will be left after 5 months? (Let 15 days = twice a month.)
Answer:
22.6in³
Step-by-step explanation:
a = 800(0.7)^(150/15)
a = 800(0.7)^(10)
a = 22.6in³
Answer:
800(1-0.3)^5*2
Step-by-step explanation:
bright thinker confirmed
Mike measured the stage where his band was going to play to determine if it is a right triangle. Does the stage with side lengths of 36 feet, 48 feet, and 60 feet form a right triangle
Answer:
let
hypotenuse[h]=60ft
base[b]=36ft
perpendicular [p]=48ft
by using Pythagoras law
p²+b²=h²
48²+36²=60²
2896≠3600
since p²+b²≠ h²[so the stage is not in a right angled triangle]but it is scalene triangle
8. Which choice is chord?
LG
CH
LM
CJ
Answer:
Step-by-step explanation:
LG: is a chord. Are there others?
CH: is a radius. C is the center of the circle.
LM: You have to draw in LM. LM would be a secant. It cuts the circle in exactly two places.
CJ: Anything coming from C and ending at the circumference is going to be a radius.
Tyra’s father is two years more than three times as old as she is. If Tyra is nine years old, how old is her father?
A-29
B-27
C-17
D-18
E-32
Answer:
A - 29
Step-by-step explanation:
she is Nine so
her dad will be
2+9×3
2+27
29
Answer:
hi how are you doing today Jasmine
NEED HELP shouldn’t take to long :)
If the value of x for normal distribution is 35, the mean of normal distribution is 65 and the standard deviation is 25, then calculate the standardized random variable, and P(X < 35).
Answer:
[tex]Z=-1.2[/tex]
Step-by-step explanation:
From the question we are told that:
Normal distribution [tex]x=35[/tex]
Mean of normal distribution [tex]\=x=65[/tex]
Standard normal distribution deviation [tex]\sigma= 25[/tex]
Generally the equation for standardized value is mathematically given by
[tex]Z=\frac{x-\=x}{\sigma}[/tex]
[tex]Z=\frac{35-65}{25}[/tex]
[tex]Z=\frac{35-65}{25}[/tex]
[tex]Z=-1.2[/tex]
Therefore the standardized value of x is
[tex]Z=-1.2[/tex]
if i dont get this answer done by 7:30 my moms gonna b e mad at me, please help me and also please no files i dont understand them =_=
Answer:
gotchu.
c = 36
Step-by-step explanation:
First add five to each side.
c/4 = 9
then you multiply by four:
c=36
HELPP I NEED HELP!!!
Answer:
10
3
Step-by-step explanation:
PLS HELP ASAP ILL MARK BRAINLIEST
What is the value of x in the equation 3x − 2 = x + 8?
Answer:
x=5
Step-by-step explanation:
We need to find the value of x the given equation: 3x-2=x+8
the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side
here's the equation:
3x-2=x+8
first, add 2 to both sides
3x-2=x+8
+2 +2
___________
3x=x+10 (2 goes away on the left side, as -2+2=0)
now, subtract x from both sides
3x=x+10
-x -x
______
2x=10 (x goes away on the right side, as x-x=0)
we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)
divide both sides by 2
x=5 (because 2x/2=1x, or x. 10/2=5).
therefore, the value of x is 5
Hope this helps!
Estimate 12.32+7.636 by first rounding each number to the nearest tenth.
pls help need the right answer thank u
===========================================================
Explanation:
12.32 rounds to 12.3 when rounding to the nearest tenth (aka one decimal place). The digit in the tenths place stays the same because the next digit over is not 5 or larger.
7.636 rounds to 7.6 when following the same rule
Adding those two rounded values gets us 12.3+7.6 = 19.9
• The manager of a bookstore uses the equation 8 = p - 3.5 to find the price a student pays for a book.
Which situation could the equation represent?
• The sale price, s. of a book is $3.50 less than the original price,p.
• Use the equation 8 = p - 3.5 to help you complete the table.
Original Price in Dollars (p) 3.50 4.50 5.00 8.00
Sale Price in Dollars (s)
?
?
?
7
00
9
4
5
6
1
Answer:
Step-by-step explanation:
Answer:
0, 1.00, 1.50, and 4.50
Step-by-step explanation:
Hope this helps
( pls help i’ll give the brainliest and quick) In the equation (x-3)2+(y-2)2=16, the center of the circle is...
(3,2)
(-2-3)
(-3,-2)