Answers
Answer:
The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.
Step-by-step explanation:
We have the graph of f(x).
In general, remember these points:
If the end behavior of the graph is the same, then the function must be an even degree function. If the end behaviors are different, then the function must be an odd degree function.For even-degree functions:
If both end behavior goes towards positive infinity, then the leading coefficient is positive. If both end behavior goes towards negative infinity, then the leading coefficient is negative.And for odd-degree functions:
If the right end-behavior goes towards positive infinity, then the leading coefficient is positive. If the right end-behavior goes towards negative infinity, then the leading coefficient is negative.P.S. Yes, it's a lot. But grasping these concepts will help you greatly in future mathematics!
Anyways, let's go back to our problem. Our graph has the same end behavior, so it must be an even function.
Moreover, both end behavior are approaching positive infinity, so the leading coefficient must be positive.
The real zeros of a function are whenever the graph touches or crosses the x-axis. We see that it happens only three times (this is circled in blue below in the image).
The relative minimum values are whenever the graph reaches its lowest point between an increasing and decreasing (or decreasing and increasing) curve. This happens twice (this is circled in black below in the image).
Note: The black arrows denote whether the graph is increasing or decreasing (down means decreasing, up means increasing).
So, you can see that our minimums will always be between a decreasing and then an increasing curve.
So, our solution is:
The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.
And we're done!
Related Questions
A game store charges a monthly membership fee of $7.50, but then the charge to rent a game is only $1.00. Another store has no membership fee, but that store charges $2.00 to rent a game. How many games need to be rented each month for the total fees to be the same from either store?
Answers
Answer:
6 games.
Step-by-step explanation:
Given that,
Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00
Another store has no membership fee, but that store charges $2.00 to rent a game.
Let there be n games needed to be rented each month for the total fees to be the same from either store.
Cost of first store = $7.50+$1.00n
Cost of another store = $2.00
If cost equals,
$7.50+$1.00n=$2
n=5.5 [tex]\approx[/tex] 6
Hence, 6 games needed to be rented each month.
Write the equation of a line passing through the points (-2,0) and (7,9) in point-slope form.
Answers
Answer:
Y+0=1(x+2)
Step-by-step explanation:
which number is bigger than the other? -0.75 or -5/4!! Please help!
Answers
Answer:
-0.75
Step-by-step explanation:
-0.75 or -5/4
-0.75 or -1.25
-0.75 is bigger because it has a greater value.... it is closer to zero, on a number line.
An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
A. 312
B. 350
C. 494
D. 700
Answers
Answer:
B. 350
Step-by-step explanation:
done on edge
The sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
An arithmetic series contains 14 numbers.
The first number is 12.
The last number is 38.
As we know, the sum of the arithmetic sequence or series is given by:
S = (n/2)(a + l)
Here, S is the sum of the AP
n is the number of terms
a is the first term
l is the last term
n = 14
a = 12
l = 38
S = (14/2)(12 + 38)
S = (7)(50)
S = 350
Thus, the sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ5
What is 1.8 divided by 2? Show Work
Answers
Answer:
0.9
Step-by-step explanation:
Unless is there is another way to answer this question, all you have to do is put it into a calculator.
1 2/2 dived by - 1/5
Answers
Answer:
-10
Step-by-step explanation:
1 2/2= 2
2/(-1/5)=(-10)
Answer:
-10
Step-by-step explanation:
1 2/2 / -1/5
2 × 5 / -1/5 × 5
10 / - 1
10 × -1 / -1 × -1
-10 / 1
-10
classify each equation below as a formula , a literal equation ,or both.
c=2d , a=1/2bh , y=2x-1, p=2e+ 2w
Answers
delete my answer please its useless
Re-write the standard form equations provided in slope-intercept form
4.5x – 10y = 15
Answers
2(x + 9) = 4(x - 7) + 2
Answers
Answer:
x = 22
Step-by-step explanation:
Step 1: Write equation
2(x + 9) = 4(x - 7) + 2
Step 2: Solve for x
Distribute: 2x + 18 = 4x - 28 + 2Combine like terms: 2x + 18 = 4x - 26Subtract 2x on both sides: 18 = 2x - 26Add 26 to both sides: 44 = 2xDivide both sides by 2: 22 = xRewrite: x = 22Step 3: Check
Plug in x to verify it's a solution.
2(22 + 9) = 4(22 - 7) + 2
2(31) = 4(15) + 2
62 = 60 + 2
62 = 62
Answer:
x=22
Step-by-step explanation:
2x+18=4x-28+2
2x+12=4x-26
2x+44=4x
44=2x
22=x
Use the fact that 521•73=38,033 Enter the exact product of 521•73
Answers
Answer:
38,033
Step-by-step explanation:
I need help with this question
Answers
Answer:
4.20
Step-by-step explanation:
Answer:
4.2
Step-by-step explanation:
it starts with 2.80 and four is that dou led so we have to find half of 2.8 then add it to find three (I'm bad at explaining)
Modern car company has come out with a new car model, Market analysts predict that 4,900 cars will be sold in the first month and that sales will drop by 100 cars per month after that during the first year. Write out the first five terms of the sequence, and find the number of sold cars predicted for the twelfth month. Find the total predicted number of sold cars for the first year. a. The first five terms of the sequence are (Use a comma to separate answers.)
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Number of cars sold in first month = 4900
Sales drop by 100 cars per month for the first year:
A(x) = a - 100(x - 1)
No = sale In first month = 4900
First five months
Ist month :
a = 4900
2nd :
4900 - 100 = 4800
3rd :
4800 - 100 = 4700
4th:
4700 - 100 = 4600
5th:
4600 - 100 = 4500
First five terms : (4900,4800,4700,4600, 4500)
Predicted sales for 12th month :
A(12) = 4900 - 100(12 - 1)
A(12) = 4900 - 1100
= 3800
Total sales for the first year:
4900+4800+4700+4600+4500+4400+4300+4200+4100+4000+3900+3800) =
= 52,200
if two is he same as to and too how are they different
Answers
Answer:
two is a number
too means in addition
to means motion in the direction
Step-by-step explanation:
Simplify the following expression to simplest form using only positive exponents.
(32x^-15y^25)^-2/5
Answers
Answer:
[tex]\frac{x^{6} }{4y^{10} }[/tex]
Step-by-step explanation:
THIS is the answer if the equation looks like this. [tex](32x^{-15} y^{25} )^{-2.5}[/tex]
Slove this inequality
5+7x ≤ 26
Answers
Answer:
x<3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
7x+5<26
Step 2: Subtract 5 from both sides.
7x+5−5<26−5
7x<21
Step 3: Divide both sides by 7.
7x/7<21/7
x<3
Answer:
3
Step-by-step explanation:
Subtract 5 from both sides.
7x<21
7 goes into 21, 3 times.
Therefore, x<3
Please help me similar triangles
Answers
Answer:
30 degrees
Step-by-step explanation:
14 + 5 + 11 = 30
180 / 30 = 6
6 x 5 = 30
So:
The smaller triangle is 30 degrees.
Hope this helps!
The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits?
Answers
Answer and Step-by-step explanation:
Solution:
Set of values that are intensities of Ambers exercise during fourth, fifth and sixth visits:
63%, 63%,63%, 66%, 69%, 72%, 66%, 62%, 58%, 67%, 67%, 67%, 63%, 65%, 67%, 67%, 72%, 77%/
Program recommends a constant intensity for 3 visits,
Increasing intensity over 3 visits,
And decreasing intensity for 3 visits,
Set of values, which are intensities of Ambers exercise during fourth visits:
66%.
69%,
72%,
Set of values, which are intensities of Ambers exercise during fifth visits:
63%,
65%,
67%,
Set of values, which are intensities of Ambers exercise during sixth visits:
67%,
72%,
77%,
Its decreasing.
If b= 40 degrees and c= 30 degrees, what is the measure of d?
Answers
Answer:
It would be D. 110 degrees
Step-by-step explanation:
A triangle is always equal to 180 degrees. So, if you add b + c, you get 70 degrees. Subtract that from 180, and you get 110. Hope this helped!
Answer:
a = 110 degree
d= 70 degree
Step-by-step explanation:
a+b+c = 180. (being sum of all interior angle of a triangle is 180 degree)
a+40+30 = 180
a=180-70
a = 110
Similarly,
a+d=180. (being supplementary angle)
110+d=180
d= 70
Can someone help with this one?
Answers
Answer:
3!
Step-by-step explanation:
Your homework grades are 92, 87, 74, 96, 83, 88, 91, 82, and 85. What score on your next homework will make the median and the mode equal? List the scores in order from least to greatest. You can use the strategy Systematic Guess and Check to help you find the solution.
Answers
Answer:Next homework Score should be 87.
Step-by-step explanation:
STEP 1
Listing the scores in ascending order ie from least to greatest gives
74, 82, 83, 85, 87, 88, 91,92, 96
STEP 2
we find the median--- The median score is the score that is in the middle of the set of results when arranged from lowest to highest as we have done above , which give us 87 as the median.
74, 82, 83, 85, 87, 88, 91,92, 96
Also Mode is the score with the highest frequency , ie the score which appears more than other numbers. For now we have no mode as all the numbers occurred once
Therefore in next exam, I should get a score of 87, making my scores to become
74, 82, 83, 85, 87, 87, 88, 91,92, 96
Now my mode becomes 87 ( highest frequency of occurrence ) and
My median becomes (87+ 87)/2 = 87 ( with the addition of a new score the total score become ten, which is now even, so we divide the addtion of the two middle numbers by 2 )
Someone help please!!
Answers
Answer:
B
Step-by-step explanation:
Even though -3.613 has more digits, if you add a zero to -3.63 it becomes -3.630. -3.630 is greater than -3.613.
Answer:
b i think
Step-by-step explanation:
A swimmer competes in a 200 meter free style race. If the swimmer finishes the race in 5 minutes. How fast was the swimmer swimming?
Answers
Answer:
40meters per minutes
Step-by-step explanation:
Answer:
40m/min
Step-by-step explanation:
200m/5min
40m/min
Hope this helps!
Kiana wants to purchase a new bicycle for $ 225.45 and helmet for $12.55. If the sales tax rate is 7%, what will be the total amount of Kiana’s purchase including sales tax? 7.13A
Answers
Answer:
$254.66
Step-by-step explanation:
225.45 + 12.55 = 238
7% of 238 = 0.07 × 238 = 16.66
16.66 + 238 = 254.66
Which graph represents the inequality y<−1+2x?
Answers
Answer:
B
Step-by-step explanation:
negative slope so the line will go down and it has a less than sign so the shade will be below it
Multiply and simplify the product.
–12i × 3i
Answers
Answer:
36
Step-by-step explanation:
Which expression has the same value as 59.2 - 84.7? *
27 points
A. 84.7 - 59.2
B. -84.7 + (-59.2)
C. 59.2 - (-84.7)
D. 59.2 + (-84.7)
Answers
Answer:
D. 59.2 + (-84.7)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
HELP ME PLZZI NEED HELP WITH THIS!!
Answers
Answer:
The answer is C
Step-by-step explanation:
You would move the dot on the number to the right 5 spots, ending up at -4.
To raise a product to a power raise each factor to the power and multiply the results. Is it true or false?
Answers
Answer:
True
Step-by-step explanation:
Hope this helps x
True
Consider two numbers a and b
Their product will be [tex]\sf a \times b = (ab) [/tex]
Suppose I want to raise this product to a power, say m
That is, [tex]\sf (ab)^m [/tex]
By rules of indices,
[tex]\sf (ab)^m = a^m \times b^m [/tex]
So, we have to raise the individual factors of the product to the power and multiply the results.
Hence the given statement is true.
If 5x = -35, then find the value of -28 + 4x
Answers
Answer:
x=-7
Step-by-step explanation:
-28-28=-56
hope it will help you!!!!
mark as brainiest
How to make 20 using the number 3,5,6,3 add
Answers
Answer:
3+3+6+5+3=20
Step-by-step explanation:
3+3=6
6+6=12
12+5=17
17+3=20
Answer:
(3x3)+6+5
Step-by-step explanation:
3 times 3 is 9
9 plus 6 is 15
15 plus 5 is 20