Answer:
and "Bumps"
Purplemath
Graphs of polynomials don't always head in just one direction, like nice neat straight lines. Instead, they can (and usually do) turn around and head back the other way, possibly multiple times. Each time the graph goes down and hooks back up, or goes up and then hooks back down, this is a "turning" of the graph.
I refer to the "turnings" of a polynomial graph as its "bumps". This isn't standard terminology, and you'll learn the proper terms (such as "local maximum" and "global extrema") when you get to calculus, but, for now, we'll talk about graphs, their degrees, and their "bumps".
For instance, the following graph has three bumps, as indicated by the arrows:
y = (1/50)(x + 5)(x^2)(x – 5), crossing at x = –5 and x = 5, and just touching at x = 0
Someone help me with this, please! i’ll mark u as brainlist
Answer:
x = 8
Step-by-step explanation:
2x + 5 = 21
-5 -5
2x = 16
2x/2 = 16/2 ( divided 2 on both sides)
you get x= 8
to check your work, replace x with 8 in the equation
2 x 8 + 5 = 21 ( don't forget PEMDAS!!)
16 + 5 = 21
There are 5 students in Mrs. Templeton's art class. Each student has 2 paintbrushes on his desk. Which of the following shows how to find the total number of paintbrushes in the classroom?
Draw a scaled copy of the circle
using a scale factor of 2.
How does the circumference of the scaled copy compare to the circumference of the original circle?
How does the area of the scaled copy compare to the area of the original circle?
Answer:
the circumfrence is the diameter times pi so if the diameter was 3 you would time that by 3.14 to get the circumfrence hope that helps
Step-by-step explanation:
The circumference of the scaled copy is half the circumference of the original circle.
The area of the scaled circle is half the area of the original circle.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
Let the radius of the circle = r
The circumference of the circle = 2πr
The area of a circle = πr²
Now,
Scale factor = Original circle / Scaled circle
Now,
Scale factor = 2
2 = Circumference of the Original circle / Circumference of the Scaled circle
Circumference of the Scaled circle = (1/2) Circumference of the Original circle
Again,
Scale factor = 2
2 = Area of the Original circle / Area of the Scaled circle
Area of the scaled circle = (1/2) Area of the original circle
Thus,
The circumference of the scaled copy is half the circumference of the original circle.
The area of the scaled circle is half the area of the original circle.
Learn more about scale factors here:
https://brainly.com/question/20759556
#SPJ2
Daryl has 7 hats. David has h times more hats than Daryl. How many hats does David
have?
for 10 points!!
Answer:
David has 7h hats
Step-by-step explanation:
Daryl: 7
David: 7h
solve for the missing value (?) 3:9=? ?:81=
Answer:
27
Step-by-step explanation:
First you need to figure out what times 9 = 81
9 x 9 =81
since you have to do the same thing on both sides of the equation you do
3 x 9
which gets you 27
URGENT PLEASE I NEED HELP AND KINDLY SHOW THE SOLUTION/S AS WELL :))
Answer:
1. Steve's age is 18 and Anne's age is 8.
2. Max's age is 17 and Bert's age is 11.
3. Sury's age is 19 and Billy's age is 9.
4. The man's age is 30 and his son's age is 10.
Step-by-step explanation:
1. Let us assume that:
S = Steve's age now
A = Anne's age now
Therefore, in four years, we have:
S + 4 = (A + 4)2 - 2
S + 4 = 2A + 8 - 2
S + 4 = 2A + 6 .................. (1)
Three years ago, we have:
S - 3 = (A - 3)3
S - 3 = 3A - 9 ................................ (2)
From equation (2), we have:
S = 3A - 9 + 3
S = 3A – 6 …………. (3)
Substitute S from equation (3) into equation (1) and solve for A, we have:
3A – 6 + 4 = 2A + 6
3A – 2A = 6 + 6 – 4
A = 8
Substitute A = 8 into equation (3), we have:
S = (3 * 8) – 6
S = 24 – 6
S = 18
Therefore, Steve's age is 18 while Anne's age is 8.
2. Let us assume that:
M = Max's age now
B = Bert's age now
Therefore, five years ago, we have:
M - 5 = (B - 5)2
M - 5 = 2B - 10 .......................... (4)
A year from now, we have:
(M + 1) + (B + 1) = 30
M + 1 + B + 1 = 30
M + B + 2 = 30 .......................... (5)
From equation (5), we have:
M = 30 – 2 – B
M = 28 – B …………………… (6)
Substitute M from equation (6) into equation (4) and solve for B, we have:
28 – B – 5 = 2B – 10
28 – 5 + 10 = 2B + B
33 = 3B
B = 33 / 3
B = 11
Substituting B = 11 into equation (6), we have:
M = 28 – 11
M = 17
Therefore, Max's age is 17 while Bert's age is 11.
3. Let us assume that:
S = Sury's age now
B = Billy's age now
Therefore, now, we have:
S = B + 10 ................................ (7)
Next year, we have:
S + 1 = (B + 1)2
S + 1 = 2B + 2 .......................... (8)
Substituting S from equation (7) into equation (8) and solve for B, we have:
B + 10 + 1 = 2B + 2
10 + 1 – 2 = 2B – B
B = 9
Substituting B = 9 into equation (7), we have:
S = 9 + 10
S = 19
Therefore, Sury's age is 19 while Billy's age is 9.
4. Let us assume that:
M = The man's age now
S = His son's age now
Therefore, now, we have:
M = 3S ................................... (9)
Five years ago, we have:
M - 5 = (S - 5)5
M - 5 = 5S - 25 ................ (10)
Substituting M from equation (9) into equation (10) and solve for S, we have:
3S - 5 = 5S – 25
3S – 5S = - 25 + 5
-2S = - 20
S = -20 / -2
S = 10
Substituting S = 10 into equation (9), we have:
M = 3 * 10
M = 30
Therefore, the man's age is 30 and his son's age is 10.
a) Solve x² + 4x - 8 = 0 by completing the square
Answer:
x = 2 + 2i, x = 2 - 2i
Step-by-step explanation:
[tex] {x}^{2} - 4x + 8 = 0 \\ \\ {x}^{2} - 4x + 4 + 4= 0 \\ \\ {x}^{2} - 4x + {(2)}^{2} = - 4 \\ \\ {(x - 2)}^{2} = - 4 \\ \\ x - 2 = \pm \sqrt{ - 4} \\ \\ x - 2 = 2i \\ \\ x = 2 \pm 2i \\ \\ x = 2 + 2i, \: \: \: x = 2 - 2i[/tex]
Of the factors of 12 shown, which also have a sum of 7?
A: 12,1
B: 2,6
C: 3,4
Evaluate the limit, if it exists. PLEASE SHOW WORK
lim x 5 x^2-3x-10\2x-10
Answer:
-350
Step-by-step explanation:
5×2-3×-10/2×-10
=10-3×-50
=7×-50
=-350
Help please!!!
Triangle ABC is similar to triangle PQR, as shown below
Answer:
b:q
Step-by-step explanation:
im pretty sure its that. ive learned this before.
if you flipped them so that c and r were facing the same direction, then b and q would be too.
complete the table of values for y=2-x
x= -1, 0, 1, 2, 3, 4,
y= , , , , -1, ,
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
−k+2(−2k−5) please help me
Answer:
-5k - 10
Step-by-step explanation:
-k + 2 (-2k - 5)
-k - 4k - 10
-5k - 10
Answer:
-K+2(-2K-5)
-K-2K-10
-3K=10
K= 10÷(-3)
K=-3.333333
A 2-quart carton of non-dairy creamer costs $6.32. What is the price per cup?
Answer:
you mean 2.5?????? in two quart????
the answer below thanks
Answer:
The equation of the circle having centre (-5,-9) and radius r=3 is
x² + 10 x +y² + 14 y + 65 = 0
Step-by-step explanation:
Explanation:-
From graph The centre of the circle C( -5 , -7)
The radius of the circle r = 3cm from the centre of the given circle
The equation of the circle
From graph the centre ( h, k) = ( -5,-7) and r = 3cm
[tex](x-(-5))^2+(y-(-7))^2 = 3^2[/tex]
x² + 10 x +25 +y² + 14 y + 49 =9
x² + 10 x +25 +y² + 14 y + 49 -9=0
The equation of the circle
x² + 10 x +y² + 14 y + 65 = 0
HELPPPPP ME PLEASEEEE
the product of 9/10 and 8/9 is...
A: between 0 and 1
B: between 1 and 2
C: between 2 and 3
D: greater than 3
In a baseball game, Elena scored twice many pints as Tyler.Tyler scored four points fewer than Noah, and Noah scored three times as many points as Mai. If Mai scores 5 points, how many did Elena scored?
Answer:
Elena scored 22 points.
Step-by-step explanation:
Mai scored 5 points, and Noah scored three times as many. This means Noah scored 15 points and if Tyler scored four points fewer, he scored 11 points. If Elena scored twice as many as Tyler, she scored 22.
Please help me out !!!
Answer:
If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!
Step-by-step explanation:
4x+5 = 2x+19
2x=14
x=7
4(7)+5+2(7)+19 = 42+24 = 66
in her last computer game, Lucy scored 3×10⁷ points. The first time she tried the game, she scored 6×10³ points. How many times as many points is Lucy's last score as her first score?
Answer:
u have to drop 18 pionts .
Step-by-step explanation:
Answer:
u have to drop 18 pionts .
Step-by-step explanation:
Please please please hellllllppp meeeeee !!!!!!!!!
Suppose we have universal set U. What does it mean to say that X is a subset of U?
Answer:
All of the elements of X are elements of U.
Step-by-step explanation:
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that sport's league? 278 279 185 299 245 281 291 234 278 227 281
Answer:
Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports leagueStep-by-step explanation:
First of all, we will sort the data.
185 227 234 245 278 278 279 281 281 291 299
Mean:
Mean is defined as the sum of values divided by the number of values.
n = 11
[tex]Mean = \frac{sum}{n}\\= \frac{185+227 +234+ 245+ 278+ 278+ 279+ 281+ 281+ 291+ 299}{11}\\=\frac{2878}{11}\\=261.63\ pounds[/tex]
Median:
As the number of values is odd,
The median will be:
[tex]Median = (\frac{n+1}{2})th\ value\\= \frac{11+1}{2}\\=\frac{12}{2}\\=6th\ value[/tex]
The 6th value is 278
Median = 278
Mode:
Mode is the most frequent value in a data set.
In the given dataset,
278 and 281 are modes as both are repeated twice
Mid-range:
Mid-range is the average of maximum and minimum value
So,
Min = 185
Max = 299
So,
[tex]Mid-range = \frac{Max+Min}{2}\\= \frac{185+299}{2}\\= \frac{484}{2}\\= 242[/tex]
Hence,
Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports leagueThere are 65 people coming to your party and each person will need one cup. How many packages of cups should you buy if one package contains 3 cups?
ANWSER:
STEP BY STEP EXAMPLE:
Answer: 22
Step-by-step explanation: 65 divided by 3 is 22
Answer:
21or22
Step-by-step explanation:
65/3
simplify x^2 + ax - 2a^2÷
3a^2 - 2ax - x^2?
Answer:
[tex] - \frac{x + 2a}{3a + x} [/tex]
Step-by-step explanation:
[tex] \frac{ {x + ax - 2 {a}}^{2} }{3a {}^{2} - 2ax - {x}^{2} } [/tex]
i) write ax as a difference
[tex] \frac{ {x}^{2} + 2ax - ax - 2 {a}^{2} }{3 {a}^{2} - 2ax - x {}^{2} } [/tex]
ii) write -2ax as a difference
[tex] \frac{ {x}^{2} + 2ax - ax - 2a {}^{2} }{3a {}^{2} + ax - 3ax - x {}^{2} } [/tex]
iii) factor out x from the expression
[tex] \frac{x(x + 2a) - ax - 2 {a}^{2} }{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]
iv) factor out -a from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]
v) factor out a from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - 3ax - {x}^{2} } [/tex]
vi) factor out -x from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - x(3a + x)} [/tex]
vii) factor out x+2a from the expression
[tex] \frac{(x + 2a)(x - a)}{a(3a + x) - x(3a + x)} [/tex]
viii) factor out 3a+x from the expression
[tex] \frac{(x + 2a)(x - a)}{(3a + x)(a - x)} [/tex]
ix) factor out the negative sign from the expression and rearrange the term
[tex] \frac{(x + 2a)( - ( - a - x))}{(3a + x)(a - x)} [/tex]
x) reduce the fraction a-x
[tex] \frac{(x + 2a)( - 1)}{(3a + x)} [/tex]
[tex] - \frac{x + 2a}{3a + x} [/tex]
Solve the following for y: 9x − 3y = 18 (5 points) y = −3x − 6 y = 3x − 6 y = −3x + 6 y = 3x + 6
Answer:
Y = 3x - 6
Step-by-step explanation:
- 3y = -9x + 18
divide by -3
y = 3x - 6
Bea is asked to graph this system of equations:
8x - 6y=3
-3y + 4x + 4
How many times will the lines intersect?
Answer:
The lines will not intersect, because this system has no solutions
Step-by-step explanation:
Answer:
They will not intersect!
Step-by-step explanation:
A-P-E-X
Find sin θ. Right Triangle Trigonometry.
Answer:
A. 16/20
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ
Opposite Leg = 16
Hypotenuse = 20
Step 2: Find Ratio
Substitute [Sine]: sinθ = 16/20Answer:
A. 16/20
Step-by-step explanation:
The sine ratio is the opposite leg over the hypotenuse, opp/hyp.
For angle theta, the opposite leg is 16. The hypotenuse is 20.
sin (theta) = 16/20
Answer: A. 16/20
The rational function f is defined as, where h and g are polynomials.
The degree of h is m and the degree of g is n.
Which of the following statements are TRUE?
I. If m > n the absolute value of the function approaches positive infinity as x gets very large.
II. If m < n the value of the function approaches zero as x gets very large.
III. If m = n the value of the function approaches a constant as x gets very large.
Answer:
g
Step-by-step explanation:
x goes to f m to 5 :-)
Amy raises $58.75 to participate in a walk-a-thon. Jeremy raises $23.25 more than Amy. Oscar raises 3 times as much as Jeremy. How much does Oscar raise? Please show work and equation and this is 5th grade math.
1. 246.00
2. 245.00
3. 246.08
Answer:
246.00
Step-by-step explanation:
58.75+23.25=82 then 82*3
Answer:
246.000
Step-by-step explanation:
Well If you take it and Line it up like this,
(A)Amy; 58.75
(J)Jeremy; A+23.25
(O)Oscar; A+23.25= ?x3
This is an easy way to find out what it is you need to do, So A+23.25 is 58.75+23.2 which should give you the value of 82, which brings you to the next step of A+23.25= ?x3 which in this you only wanna focus on the ?x3, we now know ?= 82 so this brings it to 82 times 3 which gives you a value of 246. Thus giving you your answer.
Hope this helps.
What is 3/5 converted into a percent.
Answer:
60%
Step-by-step explanation:
multiply 3/5 by 20
Answer:
60%
since 100/100 is 100%, we just have to find a number that will make the denominator 5 equal to 100. That is 20 so we multiply 20 for both 3 and 5. This equals to 60/100, which is 60%
HELP ME PLZ
What is the slope of a parallel to the line that passes through (- 3, 1) and (3, 7)
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
To find the slope, you need to find the [tex]\frac{rise}{run}[/tex] between two points.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{7-1}{3-(-3)}[/tex]
= [tex]\frac{7-1}{3+3}[/tex]
= [tex]\frac{6}{9}[/tex]
= [tex]\frac{2}{3}[/tex]
Answer:
To calculate slope with any two given points the formula is y2 - y1 / x2 - x1. So to solve the problem just plug in the values: 7 - 1 / 3 - (-3), 6 / 6, the slope is 1