Answer:
36
Step-by-step explanation:
2x•2x=4x
4x-2x=2x
72÷2=36
8y + 4y = 24 in function form some one please help 8th grade math
Answer:
y=2
Step-by-step explanation:
I think
it's been a while since I did functions
Answer:
the answer is y=2
Step-by-step explanation:
you add 8y+4y=12y
and then divide 12 on each side
which 24/12=2
Rachel can walk 2.5 miles in 40 minutes at this rate how far can she walk in one hour
3.75 miles
Explination~first you would start by finding out how many miles she walks in 1 minute by dividing 2.5 by 402,5 ÷ 40 =
0.0625
Then you would times that by 60, because 60 minutes equals 1 hour0.0625 × 60 =
3.75
So, Rachel can walk 3.75 miles in 1 hour :))------------------------------------------------------------------------Hope I helped!!
I WILL GIVE BRAINLIEST IF YOU CAN ANSWER THESE TWO QUESTIONS!!!!
2. Darwin believes that x + b is a factor of (x + b)3 + (x + c)2 – (b - c), while Eunju
believes it is not. Who is correct? Justify your response.
3. How can you prove that x2 + 5x + 6 is a factor of x* + 5x3 + 2x2 – 20x – 24, without
using long or synthetic division?
Answer:
2. Eunju is right
3. [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex].
Step-by-step explanation:
Polynomial Remainder Theorem
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
As a consequence, if a polynomial is divisible by x-a, f(a)=0.
Part 1:
Let's make:
[tex]f(x)=(x+b)^3+(x+c)^2-(b-c)[/tex]
To find out if x+b is a factor of f(x), we find f(-b):
[tex]f(-b)=(-b+b)^3+(-b+c)^2-(b-c)[/tex]
Operating:
[tex]f(-b)=(-b+c)^2-(b-c)[/tex]
The value of f(-b) is not zero. This means Eunju is right, x+b is not a factor of f(x).
Part 2:
We must find out if [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex] without using long division or synthetic division.
We can use the polynomial remainder theorem again, but since the factor is not in the form (x-a), we can factor it as follows:
[tex]x^2+5x+6 =(x+2)(x+3)[/tex]
Now we just apply the theorem twice. If both remainders are zero, then the assumption is true.
Let's make:
[tex]f(x)=x^4+5x^3+2x^2-20x-24[/tex]
Find f(-2):
[tex]f(-2)=(-2)^4+5(-2)^3+2(-2)^2-20(-2)-24[/tex]
[tex]f(-2)=16-5*8+2*4+40-24 =16-40+8+40-24=0[/tex]
Find f(-3):
[tex]f(-3)=(-3)^4+5(-3)^3+2(-3)^2-20(-3)-24[/tex]
[tex]f(-3)=81-5*27+2*9+60-24[/tex]
[tex]f(-3)=81-135+18+60-24 =0[/tex]
Since both f(-2) and f(-3) are zero, [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex].
Question 17 options:
It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. See Attached Excel for Data.
sleep hours data.xlsx (8.6
8.3
7.6
6
7.1
5.6
5.1
6
Compute a 92% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 92 % confidence that the true mean time a student sleeps per night is between
Answer:
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
Step-by-step explanation:
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum X=\frac{54.3 }{8}=6.788\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 11.8288}=1.299[/tex]
Since, the sample standard deviation is computed the t-statistics will be used for the confidence interval.
The critical value of t for (n - 1) degrees of freedom and 92% confidence level is:
[tex]t_{\alpha/2, (n-1)}=t_{0.04, 7}=2.046[/tex]
*Use a t-table.
Compute the 92% confidence interval for the true mean time a student sleeps per night as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]
[tex]=6.788\pm 2.046\times\frac{1.299}{\sqrt{8}}\\\\=6.788\pm 0.9392\\\\=(-0.2504, 1.6080)\\\\\approx (-0.25, 1.61)[/tex]
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
Since mode is the most frequently occurring score, it can be determined directly from a frequency distribution or a histogram.
A. True
B. False
Answer:
A
Step-by-step explanation:
The mode describes the most frequently occurring score or observation in a distribution. The tallest bar would describe the most frequently occurring score. Hence, the mode can be inferred directly from a histogram.
A frequency distribution would have the frequency of the scores or observation on the vertical axis. Hence, the height of the bars can be used to infer which score has a greater frequency.Hence, the frequency distribution or histogram could be used to directly deduce the mode of a distribution.
Learn more : https://brainly.com/question/16785562
What is 15/22 as a repeating decimal?
Answer:
0.6818
Step-by-step explanation:
What is proportional reasoning and how does it help you solve percent equations?
Answer:
We can't set up a proportion to solve for x in a percent equation. For example, 34/100=5/x
Step-by-step explanation:
A drought effects 9 out of 12
Midwestern states. What percent
of midwestern states are affected
by
the drought?
Answer:
You just have to divide 9 by 12 to get your answer of 75%
Answer:
75 %
Step-by-step explanation:
Simplify. 3 x 25 4 X 25 100 Write the numerator with a percent symbol. So, 75% of the midwestern states are affected by the drought.
Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°
.
Answer:
The sum of all the external angles of a triangle is 360°.
Step-by-step explanation:
Let there are n sides in a polygon.
So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.
The measure of external angle corresponding to ∠i1, ∠1= 180°-∠i1,
The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,
Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.
Now, the sum of all the external angles of the polygon,
(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)
=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)
=n x 180° - (∠i1+∠i2+...+∠in)
As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.
So, the sum of all the external angles of the polygon =
(n x 180°) - (sum of all the internal angles of the polygon).
In the case of a triangle, n=3 and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.
Therefore, the sum of all the external angles of a triangle,
∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)
=540°=180°
=360°.
Hence, the sum of all the external angles of a triangle is 360°.
Three numbers are in the ratio 2:3:4. What are the numbers if their sum is 72?
Step-by-step explanation:
2N+3N+4N=9N
9N=72
N=72/9
N=8 ANS
hope it helps!
.......
Answer:
16:24:32
Step-by-step explanation:
2+3+4 = 9
72÷9 = 8
One part of the ratio is therefore worth 8.
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
16:24:32
1
222
2
599
3
209
Helpppopo
Answer:
∠1 = 36°
∠2 = 122°
∠3 = 122°
∠4 = 38°
Step-by-step explanation:
∠2 = 180°-58° (Supplementary angles add up to 180°)
= 122°
∠2 = ∠3 (Vertically opposite angles are equal)
= 122°
∠1 = 180°-122°-22° (Sum of angles in a triangle is 180°)
= 36°
∠4 = 180°-122°-20° (Sum of angles in a triangle is 180°)
= 38°
f(x)=2x^(2)-5x-20 find f(-9)
Answer:
187Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} - 5x - 20[/tex]
To find f(-9) , substitute the value of x that's - 9 into f (x). That is for every x in f(x) replace it with - 9
We have
[tex]f( - 9) = 2 ({ - 9})^{2} - 5( - 9) - 20 \\ = 2(81) + 45 - 20 \\ = 162 + 25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 187 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
187Hope this helps you
Solve each equation. Check your solution.
3(n - 7) = -30
Help!! I need an answer asap!!
Given a∥b, find m∠1 = 71º.
Find: m∠5, m∠8
Answer:
m<5 = 71 and m<8 = 109
Step-by-step explanation:
m<1 is equivalent to m<5 and m<2 is equivalent to m<8.
Answer:
∠5 = 71°
∠8 = 109°
Step-by-step explanation:
∠1 = 71°
∠5 = 71° (the same as ∠1 = 71°) its a corresponding angle
∠8 = 180 - ∠5
∠8 = 180 - 71
∠8 = 109°
6. Lars walks his dog 4 times farther than Michelle
walks her dog. Michelle walks her dog 0.23 mile.
How far does Lars walk his dog?
Answer:
0.92
Step-by-step explanation:
A bus driver drives 147 miles on her route each day. She drove the bus 23 days last month. How many miles did the bus driver drive the bus last month?
A: 3,381
B: 3,161
C: 2,381
D: 2,161
Answer:
Step-by-step explanation:
147 x 23 = 3381
=>
Answer:
B: 3381
Step-by-step explanation:
147 X 23 = 3,381. if she drove 147 miles for 23 days that's 3381 miles in one month
5⋅7⋅4=5⋅4⋅7
is that
associative property of multiplication or is it
commutative property of multiplication
Answer:
Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140
HOPE THIS HELPS TOUCH THANK FOR ME PLEASEPLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table.
Answer:
(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)
Step-by-step explanation:
Is this correct??? Someone please help
Answer:
the line is inconsistent:)
Step-by-step explanation:
WHOS GOOD AT GEO PLEASE HELP ME!!!!!
The Venn diagram represents the Quantum Physics High School student body. Circle A represents all students enrolled in extracurricular activities. Circle B represents all female students. There are 117 female students enrolled in extracurricular activities, and the enrollment of the high school is 1,000 students. There are 450 male students. How many female students are not enrolled in extracurricular activities?
A.
117
B.
433
C.
550
D.
883
Answer:
D
Step-by-step explanation:
From the total 1000 students, 450 are male, so 1000 - 450 = 550 students are female.
117 students are both [enrolled in extracurriculars] and [female].
The total number of [female] students is equal to the total number of [female AND enrolled] students plus the total number of [female AND not enrolled] students. The events of being enrolled in extracurriculars and not being enrolled are mutually exclusive. So if x is the number of female students not enrolled in extracurriculars, then
550 = x + 117
x = 550 - 117
x = 433
and the answer is B.
Which table shows a proportional relationship between x and y?
х
7
14
o
28
35
у
2
4
5
X
1
4
7
o
3 5
у
2
CO
14
х
2.5
الم
5
6
o
y
5
6
10
15
1
2
3
4
O
4
10
12
у
16
The first table shows a proportional relationship between x and y.
Proportional relationshipA proportional relationship exist between two entities if an increase in one causes an increase in another or vice versa.
First tablex y
7 28
14 35
Second tablex y
1 2
4 4
7 5
The first table shows a proportional relationship between x and y, for every value of x, y increases by almost 2 times.
Learn more about proportional relationship here: https://brainly.com/question/2575222
question is in png pls help me
Answer:
30 is the answer
Step-by-step explanation:
i hope it help you
Answer:
30 is the correct answer
hope it helps u dear ❤
What is the value of this expression?
2+42 x 4 - 12
whats the answer
which following equal to forty and two hundred seventy four thousandsths?
A. 40.274
B.40.074
C.40.274
D.40.0274
Answer:
The answer to this question is C. 40.274.
Evaluate the function for the given value of x.
|There is 1/2 of a liter of soda left after a class party. The 3 students on the clean-up crew are going
to split the soda equally. How many liters of soda does each student get?
Answer:
Each student will get 1/6 liters of soda.
Step-by-step explanation:
In order to do this, we need to divide 1/2 by 3.
All we had to do is multiply 2 by 3.
1/6 is smaller than 1/2, and because 6 is 2 x 3, it's 3 times smaller, or less.
Therefore, each student will get 1/6 liters of soda.
Hope this helps! :D
You have 12 blue marbles, 6 yellow marbles and 2 green marbles. What is the ratio of blue marbles to total marbles?
awnser
12;8
Step-by-step explanation:
i belive its that if its not then its prolly 12;20 if you get it wrong i will give you points-
the solution of 3x+5=x+9 is ____
Answer:
x=2
Step-by-step explanation:
move x to the 3x side and move 5 to 9 side.
you get 2x=4
then you divide 2 from both sides and get 2
Answer:
x=2
Step-by-step explanation:
•Original Expression;
3x+5=x+9
•Group like terms;
3x-x=9-5
•Simplify
3x-x
=2x
Then
9-5
=4
Which is going to be;
2x=4
•Divide both sides by 2 to find x
4 can be divided by 2 two times so;
x=2
what is the BEST ANSWER for the slope of the line that contains the following points:
(14, 5) and (54, 12)
Answer:
7/40
Step-by-step explanation:
12-5=7
54-14=40
7/40
48 x 56 in area model
Answer:
2688
Step-by-step explanation: