Answer:
x^4+x³+7x²-6x+1
Step-by-step explanation:
(x²+2x+8)(x²-x+1)
distribute
x²(x²-x+1)
x^4-x³+x²
2x(x²-x+1)
2x³-2x²+2x
8(x²-x+1)
8x²-8x+1
x^4-x³+x²+2x³-2x²+2x+8x²-8x+1
combine like terms
x^4+x³+7x²-6x+1
Solve
9x - 19 = 2x - 5
Answer:
x=2
Step-by-step explanation:
how to do this question plz
Answer:
[tex]A = 50cm {}^{2} [/tex]
Step-by-step explanation:
[tex]let \: the \: two \: sides \: be : \\ p = 10 \: cm \\ q = x \: cm \: (yet \: unknown) \\ then \: the \: area,\: \boxed{A} \: is \: given \: by : \\ A = \frac{1}{2} pq = \frac{1}{2} 10 \times q. \\ so \: lets \: find \: q : \\ if \: we \: bisect \: the \: rhombus, \: then \: applying \: the \: laws \: of \: sum \: of \: angles : \\ 180 - (80 + 50) = 50. \\ applying \: the \: sin \: rule : \\ \frac{ \sin(50) }{10} = \frac{ \sin(50) }{q} \\ \\ q \sin(50 ) = 10 \sin(50) \\ q = \frac{10 \sin(50) }{ \sin(50) } \\ q = 10. \\ ......wait....what {?} \: all \: of \: this \: to \: just \: to \\ \: know \: that \: q = 10. \\ so \: \\ A = \frac{1}{2} pq = \frac{1}{2} \times 10 \times 10 \\ A = 50cm {}^{2} [/tex]
♨Rage♨
Triangles ABC and DBC have the following characteristics:
BC is a side of both triangles
∠ACB and ∠DCB are right angles
AC ≅ DC
Which congruence theorem can be used to prove △ABC ≅ △DBC?
AAS
SSS
HL
SAS
Choose the true statement about the graph of x > -3.
closed circle on -3 and all numbers to the right shaded
open circle on -3 and all numbers to the right shaded
open circle on -3 and all numbers to the left shaded
Answer:
The second one
Step-by-step explanation:
The true statement about the graph of x > -3 is open circle on -3 and all numbers to the right shaded.
What is Number system?A number system is defined as a system of writing to express numbers.
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
The given inequality is x>-3.
The value of x should be greater than -3.
The value -3 is not included.
In a number line the values are increased from left to right.
As x is greater than -3 which means the x values are increasing from left to right.
So the statement open circle on -3 and all numbers to the right shaded is true statement.
Hence, the true statement about the graph of x > -3 is open circle on -3 and all numbers to the right shaded.
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#SPJ2
Simplify 9 − (−4).
please help quickly
Sam starts his hike at an elevation of 311 feet above sea level. When
he reaches the end of the hike, he is 6371 feet above sea level. What
was the change in elevation from the start of his hike to the end?
label optional
Answer:
6060 feet
Step-by-step explanation:
6371-311=6060
Select all the lines that have a slope of 5/2.
Click Image to Draw:
A. A
ΤΑ
B
I
В. В
C.C
D. D
E. E
Explain Your Reasoning:
Answer:
A rate of 5/2 means that:
If we move 2 units to the right, we move 5 units up.
Let's see all the graphs, the easier way to know this is:
In any point of the line, move to the right 2 units.
Then from that point, move up until you meet again with the line, if you moved 5 units, then the slope is 5/2.
A) The slope is 5/2.
B) The slope is 4/2
C) the slope is 5/2
I can not see very well graphs E and D in the image.
E) may have a slope of 5/2, you should measure it.
D has not a slope of 5/2, you can compare it with A and see that is totally different, so you can discard option D.
Lines A and C are having a slope of (5/2) and line E may have the slope of (5/2).
Step-by-step explanation:
Given information:
Line A,B,C,D and E having different slopes;
Now as we know that equation of the line is:
[tex]y=mx+c[/tex]
where, m is the slope of the line
Now, Also [tex]dy/dx=m[/tex]
Hence, the slope of the line can also be calculated according to that.
Now, as given in the graph:
Line A is having [tex]dy=10\; \text {and} \; dx =4[/tex]
Hence slope of line A
[tex]dy/dx(A)=5/2[/tex]
Similarly:
Line B is having slope of (4/2)
Line C is having slope of (5/2)
Line D is not having slope of (5/2)
And Line E may have the slope of (5/2).
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Two television stations are running the same advertisement. One television stations runs the advertisement eveey 24 minutes and the other television station runs the advertisement every 18 minutes. Both stations have the advertisement on right now. How many minutes until both stations will have the advertisement on again at the same time?
Answer:
72 minutes
Step-by-step explanation:
Given that:
Advert runs on :
Station 1 : every 24 minutes
Station 2 : every 18 minutes
Both have the advert running presently ; How many minutes until both stations will have the advertisement on again at the same time?
To obtain the time the advert will run again at the same time on both stations, we find the Lowest common factor of 24 and 18
_2__24 ____18
_2__12_____9
_2__6_____ 9
_3__3 _____9
_3__1_____ 3
____1_____1
2 * 2 * 2 * 3 * 3 = 72
After 72 minutes
2
The units of the floor plan at the right are in feet. Find the
perimeter and area of each room.
a. the kitchen
Kitchen
Bedroom
b. the bedroom
c. the bathroom
20 ft
Main
hallway
d. the closet
Closet
Bathroom
e. What is the area of the main hallway? Explain how
you could find this area using the area of each room
20 ft
Answer:
Step-by-step explanation:
a). Perimeter of the kitchen = total length of all sides
= 4 + 2 + 2 + 6 + 6 + 12 + 10 (Since side of one smallest square = 2 feet)
= 42 ft
Area of the kitchen = Area of the composite figure
= 4² + 2² + (6 × 12)
= 16 + 4 + 72
= 92 square feet
b). Perimeter of bedroom = 2(length + width)
= 2(12 + 8)
= 40 feet
Area of the bedroom = Length × Width
= 12 × 8
= 96 square feet
c). Perimeter of the bathroom = 2(9 + 4) = 26 feet
Area of the bathroom = 9 × 4 = 36 square feet
d). Perimeter of the closet = 2(6 + 8) = 28 feet
Area of the closet = 6 × 8 = 48 square feet
e). Area of the hallway = Total area of the floor plan - area of the (kitchen + bathroom + bedroom + closet)
Area of the floor plan = 20 × 20 = 400 square feet
Area of the hallway = 400 - (92 + 96 + 36 + 48)
= 400 - 272
= 128 square feet
Construct an explicit rule in function notation for the arithmetic sequence represented in the table. Then determine the value of the given term, and explain what it means. Darnell starts saving the same amount from each week′s paycheck. The table shows the total balance f(n) of his savings account over time in weeks. Time (weeks) n 1 2 3 4 Savings account balance ($) f(n) 260 360 460 560 Determine the value of f(11) and tell what it represents in this situation. f(n) = + (n − 1) f(11) = After 11 weeks, Darnell′s savings account will have a total of $ .
Answer:
After 11 weeks, Darnell′s savings account will have a total of $8,360.
Step-by-step explanation:
The data provided is as follows:
n: 1 2 3 4
f (n): 260 360 460 560
Consider the data for f (n).
The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.
The nth term of an arithmetic sequence is:
[tex]a_{n}=\frac{n}{2}[2a+(n-1)d][/tex]
Compute the value of f (11) as follows:
[tex]f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100][/tex]
[tex]=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360[/tex]
Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.
Which expressions are equivalent to the given expression?
√252
more than one answer
[PLEASE ANSWER ASAP, ON TIME LIMIT!] The pH level of a substance can be determined by the formula pH = –log[H+], where [H+] is the hydrogen ion concentration in moles per liter. An alkaline substance has a pH level between 7 and 14. Which ion concentration corresponds to an alkaline substance?
Answer choices in picture.
Answer:
Option (2)
Step-by-step explanation:
pH level of a substance is determined by the formula,
pH = - log[H+}
where [H+] is the hydrogen ion concentration
Let the [H+] ion concentration = a
a = -log[H+]
log[H+] = -a
[H+] = 1 × [tex]10^{-a}[/tex]
Here 'a' is between 7 and 14.
Which means an alkaline substance must have the concentration between [tex]1\times 10^{-7}[/tex] to [tex]1\times 10^{-14}[/tex].
From the given options, [tex]5\times 10^{-12}[/tex] moles per liter lies in the given range.
Therefore, Option (2) will be the answer.
Answer:
B
Step-by-step explanation:
Edg2020
What is the value of min the figure below? In this diagram, AABD ABCD.
8
m
C
A. 136
B. 572
C. 32
Ο Ο Ο
D. V632
E. 147
o
F. 274
HELP
This is equivalent to 2*sqrt(34)
=======================================================
Explanation:
First let's find BD
The three triangles are similar, allowing for the proportion to be set up
AD/BD = BD/DC
9/x = x/8
9*8 = x*x
x^2 = 72
x = sqrt(72)
BD = sqrt(72)
Now we can use the pythagorean theorem. Focus on triangle BDC.
The legs are BD = sqrt(72) and DC = 8. Let's find the hypotenuse
(BD)^2 + (DC)^2 = (BC)^2
(sqrt(72))^2 + (8)^2 = m^2
72 + 64 = m^2
136 = m^2
m^2 = 136
m = sqrt(136)
We can simplify this but your teacher has chosen not to. If you want to simplify, then,
m = sqrt(136)
m = sqrt(4*34)
m = sqrt(4)*sqrt(34)
m = 2*sqrt(34)
Someone please help me!!!
plzz need help
help a fellow brainly
Step-by-step explanation:
b= -2A-a
---------------
h
The third option is right
HAVE A GOOD DAY!
Answer:
its the third one
Step-by-step explanation:
When evaluating StartFraction (6.28 times 10 Superscript 12 Baseline) Over (3.14 times 10 Superscript 4 Baseline) EndFraction, what will be the exponent of 10 in the quotient?
Answer:
16
Step-by-step explanation:
Answer:
C. 8
Step-by-step explanation:
just did the quiz
Please help me!! I’ll mark you beainliest
Answer:
11 months
Step-by-step explanation:
50m + 75 >= 600
just solve the inequality like how you would solve an equation, by inverse operations and simplifying
50m + 75 >= 600
-75 -75
50m >= 525
/50 /50
m>= 10.5
just round up, because 0.5 of a month really isn't an answer
so 11 months
Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
А
V = 7(3)h
B
V = *(3h)
CV = +(1.5)h
DV = +(1.5h)
Ten is no less then a number q multiplied by 6.
Answer:
10 > 6q
Step-by-step explanation:
Assuming you are asking what this word problem looks like as an equation, then it would be:
10 > 6q
y = -4x – 5
y = -2x + 10 solve using substitution show work please
Answer:
(- [tex]\frac{15}{2}[/tex], 25 )
Step-by-step explanation:
Given the 2 equations
y = - 4x - 5 → (1)
y = - 2x + 10 → (2)
Substitute y = - 2x + 10 into (1)
- 2x + 10 = - 4x - 5 ( add 4x to both sides )
2x + 10 = - 5 ( subtract 10 from both sides )
2x = - 15 ( divide both sides by 2 )
x = - [tex]\frac{15}{2}[/tex]
Substitute this value into either of the 2 equations and evaluate for y
Substituting into (2)
y = - 2(- [tex]\frac{15}{2}[/tex] ) + 10 = 15 + 10 = 25
Solution is ( - [tex]\frac{15}{2}[/tex], 25 )
John is 6 feet 3 inches what is his height in centimeters
Answer:
190.5 centimeters
Step-by-step explanation:
I think it's that. Hope it's right! :)
A trampoline has a jumping surface that is 10.3 feet long and 9.2 feet wide. What is the area of the jumping surface?
Answer:
10.3*9.2
the answer is 94.76
:)
What is the solution of the following system
-2x-y=1
-4x-2y=-1
QUESTION IS ON A PICTURE
Answer:
-9 is the correct answer of this question.Thank you ☺️☺️
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?
A.
It is the graph of f(x) reflected about the x-axis and shrunk vertically by a factor of 8.
B.
It is the graph of f(x) reflected about the x-axis and stretched vertically by a factor of 8.
C.
It is the graph of f(x) reflected about the y-axis and shrunk vertically by a factor of 8.
D.
It is the graph of f(x) reflected about the y-axis and stretched horizontally by a factor of 8.
Answer:
OTHER GUY IS WRONG!!!
Given that,
Each statement describes a transformation of the graph of f(x) = x.
We have to determine,
Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?
According to the question,
Let, The graph f(x) = x,
Where r is the real number which is r >0.
And The graph of g(x) if g(x) = -8f(x),
The value of the r is -8.
The graph which describes the transformation of the given graph in the steps follows all the steps given below.
The function g(x) = 8f(x) reflects stretched the graph of f(x) vertically by a factor of r.The function g(x) = -8f(x) reflects the graph of f(x) about the x-axis and stretched the graph of f(x) vertically by a factor of r.The graph of g(x) = f(8x) shrink the graph of f(x) horizontally by a factor of r.The function g(x) = f(-8x) shrink the graph of f(x) about the y-axis and shrink the graph of f(x) horizontally by a factor of r.Hence, The graph of f(x) reflected about the x-axis and stretched vertically by a factor of 8.
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again my sisters overdue test someone pls just help I’m doing my math and art homework and can’t help her jggvgrcrvgb
Answer:
She should get $23.6 in change
Step-by-step explanation:
You add the two items she bought which makes up $89.94, then you subtract the discount of $13.50, which leaves you with 76.44 to pay. If you pay with a 100 dollar bill, you subtract 76.44 from 100 in order to find out how much change you recieve.
Answer:
Step-by-step explanation:
100-((39.95+49.99)-13.50)=
100-(89.94-13.50)=
100-76.44=
23.56
You have to add the amount she is paying for the total then subtract that by the discount. Then subtract how much she gave them by the cost to get the change!
simplifying radicals pt.1 please help ASAP and explain if possible
Greg has 5 baseball bats that have lengths of: 3/4 yards, 2/3 yards, 1/2 yards, 7/8 yards, 1 1/8 yards. What is the difference in length between his longest and shortest bats?
Answer:
1 1/8-4/8= 3/8
Step-by-step explanation:
Make sure they all have the same common denominator (24). Then pick out the smallest number and largest number,, and subtract.
What is the first step you would take solving for k in 4k + 12 = -28
Answer:
The first step I would take is subtract 12 from both sides.
Step-by-step explanation:
i hope this helps!
There are a total of 64 students in the video game club and the Pokémon club. The video game club has 10
more students than Pokémon club. How many students are in each club?
Answer: Video game club has 37 members and the Pokémon club has 27 members
Step-by-step explanation: