Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ {x}^{4} + 3 {x}^{3} - 9 {x}^{2} - 12x + 20}}}}[/tex]
Step-by-step explanation:
[tex] \sf{( {x}^{2} - 4)( {x}^{2} + 3x - 5)}[/tex]
Use distributive property
[tex] \dashrightarrow{ \sf{ {x}^{2} ( {x}^{2} + 3x - 5) - 4( {x}^{2} + 3x - 5)}}[/tex]
[tex] \dashrightarrow{ \sf{ {x}^{4} + 3 {x}^{3} - 5 {x}^{2} - 4 {x}^{2} - 12x + 20}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ {x}^{4} +3 {x}^{3} - 9 {x}^{2} - 12x + 20}}[/tex]
Hope I helped!
Best regards! :D
9+w>7 what is the inequality?
Answer:
w > -2
Step-by-step explanation:
9 + w > 7
Subtract 9 from both sides to end up with w alone on the left side.
w > -2
The local cable TV provider charges $89.00 per month for basic service, and has a $45.00 one-time "Activation Fee" for new accounts. Write (choose) the model for the Total Cost (C) of having cable TV as a function of the number of months (m) that you have service.
Answer: 89m+45=c
Step-by-step explanation:
Please please please help! D:
Answer:
∠ CAD = 32°
Step-by-step explanation:
The sum of the angles in Δ ABD = 180°, thus
∠ BAD + 100° + 48° = 180°
∠ BAD + 148° = 180° ( subtract 148° from both sides )
∠ BAD = 32°
Since AD bisects ∠ CAB , then
∠ CAD = ∠ BAD = 32°
what is the multiplicative inverse of -1/2
In mathematics, the reciprocal, or multiplicative inverse, of a number x is the number which, when multiplied by x, yields 1. It is denoted 1/x or x-1.
Evaluate the expression the quantity 3 plus 5, multiplied by, the quantity h minus k, divided by 4, when h = 4 and k = 12. A –16 B 8 C 20 D 29
Answer:
A is the correct option.
Step-by-step explanation:
We need to evaluate the expression 3 plus 5, multiplied by, the quantity h minus k, divided by 4, when h = 4 and k = 12. It can be written as :
[tex](3+5)\times \dfrac{h-k}{4}[/tex]
Put h = 4 and k = 12 in above expression.
So,
[tex](3+5)\times \dfrac{h-k}{4}=(3+5)\times \dfrac{4-12}{4}\\\\=8\times \dfrac{-8}{4}\\\\=2\times -8\\\\=-16[/tex]
After solving we get that the value of the given expression is -16.
Writing a two-column proof
Answer: I know this is late, but hope this helps. ^-^
Step-by-step explanation: Edge 2021.
To prove : m∠ABC = m∠GHI
Given,
∠ABC ≅ ∠DEF
∠GHI ≅ ∠DEF
Here,
∠ABC ≅ ∠DEF
∠GHI ≅ ∠DEF
∠DEF ≅ ∠ABC (Symmetric property)
∠GHI ≅ ∠ABC (transitive property)
m∠GHI = m∠ABC (definition of ≅ angles)
m∠ABC = m∠GHI ( symmetric property)
Hence
m∠ABC = m∠GHI
Know more about angles,
https://brainly.com/question/11293539
#SPJ2
Mary likes to collect coins. Mary got 24 coins from her brother, 16 coins from her mother as well as
37 coins from Joan. However, Mary lost 23 coins before putting those coins into her piggy bank. How
many coins does Mary have in her piggy bank?
Answer:
53
Step-by-step explanation:
24+16=40 40+37=77 77-24 = 53
Use properties of operations to find the quotient. -14 ÷ (-4.48)
Answer:
3.125
Step-by-step explanation:
-14÷(-4.48)
14÷(4.48)
divide that you will get 3.125
25/8, 3 1/8
is its alternative form.
A large rectangle has length a + b and width c + d. Therefore, its area is (a + b)(c + d).
Find the area of each of the four small rectangles in the figure. Then find the sum of these areas.
The area of each of the small rectangles is __?
Answer:
The area of four small rectangles are ac, bc, ad and bd.
Convert 45 miles per hour to miles per minute
Answer:
0.75 miles is miles per minute
**URGENT** what is 2 and 1/3 minus 4/5 written as an improper fraction?
Answer:
23/15
Step-by-step explanation:
Step 1:
2 5/15 - 12/15
Step 2:
35/15 - 12/15
Answer:
23/15
Hope This Helps :)
In a cyclic quadrilateral ABCD, if (∠B – ∠D) = 60o , show that the smaller of the two is 60o
ANSWER
It is given that ABCD is a cyclic quadrilateral
(∠B−∠D)=60
o
......(1)
(∠B+∠D)=180
o
.....(2)
By adding both the equations
∠B−∠D+∠B−∠D=60
o
+180
o
So we get
2∠B=240
o
By division
∠B=120
o
By substituting equation it in equation (1)
(∠B−∠D)=60
o
120
o
−∠D=60
o
On further calculation
∠D=120
o
−60
o
by subtraction
∠D=60
o
Therefore, the smaller of the two angles ∠D=60
o
.
Step-by-step explanation:
what is the graph of y= [tex]-\sqrt[7]{x} -8[/tex]
where should the decimal point be placed in the example shown
Answer:
A
Step-by-step explanation:
I don’t know what to do here someone please help
Answer:
2) 24
3) 13
4) 27
Step-by-step explanation:
2) 3(2)^4-1=3(2)^3=24
3) 3(5)-2=15=2=13
4) 4(6-1)+7=4(5)+7=20+7=27
y/3=2-2y in a verbal sentence
Answer:
Y=6/7
Step-by-step explanation:
Y=0.857142
Answer:
a number divided by 3 equals the value of two times the same number subtracted from 2Step-by-step explanation:
What is the value of the expression below
x = 8 and y = 3
9x + 7y
9x+7y
x=8 and y=3
9(8)+7(3)
72+7(3)
72+21
=93
Amy invested $250 in the bank and a year later has $285.72. By what percent has the amount changed?
Answer:
14.28 %
Step-by-step explanation:
It is given that,
Initial amount is $250 and after 1 year the amount is $285.72. We need to find the percent by which the amount changed. It can be calculated as follows :
[tex]\%=\dfrac{\text{change in amount}}{\text{initial amount}}\times 100\\\\\%=\dfrac{285.72-250}{250}\times 100\\\\\%=14.28\%[/tex]
Hence, there is an increase of 14.28 % in this case.
if your last period started on Augest 6 and stopped on Augest 11. when will you have your next period?
“six less than twice y”
Answer:
2y-6
Step-by-step explanation:
Six less = Subracted by 6.
a rectangluar rug has a length that is 3 times its width. The perimieter is 56 feet. what are the dimensions?
Answer:
7 x 21
Step-by-step explanation:
We can say that the dimensions are a and b. Since this is a rectangle, we know that the perimeter will be 2a + 2b. So our first equation is:
2a + 2b = 56.
They also tell us that the length is 3 times its width. So we can say this:
a = 3b.
Now we can substitute, and we can do the full problem with the given info:
2a + 2b = 56
a = 3b
2a = 6b
6b + 2b = 56
8b = 56
b = 7
Now that we know b, we can multiply it by 3 to get a:
b = 7
a = 3b
a = 21.
So our answer is:
a = 21
b = 7
Answer:
Dimensions:
7 x 21
Answer:
Width=7
Length=21
Step-by-step explanation:
p=56 feet
L=3W
P=2L + 2W
56=2(3W)+2W
56=6W+2W
56=8W
W=56/8 = 7 ⇒ Width=7
L=3W
L=3*7
L=21 feet ( length=21 feet)
check : p=2l+2w
P=2(21)+2(7)
p=42+14=56
2•14+ 3•7
————-
71 - 15
how to do recurring decimal and fraction
Answer:
What do you mean.....???
ex.....0.444444.......
Remove point.... and Write 9 as denominator
that is 4/9
PLEASE HELP FAST..ASSIGNMENT IS DUE IN MINUTES!!
An ice cream cone costs $3
plus 6% sales tax. How many
Icecream cones can be purchased
for $24?
Answer:8
Step-by-step explanation:
Answer:
Since its due quickly ill just write the answer. Let me know if you want the work as well though.
3*(1.06)=3.18
so,
24/(3.18)=7.57
You can't have half an ice cream cone ( i wish we could though :( ) , you can only get 7
7 ice cream cones
pls ignore the numbers that was another problem :)
3/4 + 1/8 + 1/10 = 39/40
............................................
Answer:
39/40 Please mark my answer the brainliest. It will get me to the next level!
Step-by-step explanation:
4=4, 8, 12, 16, 20, 24, 28, 32, 36, 40
8=8, 16, 24, 32, 40.
10=10, 20, 30, 40.
GCF=40
3/4=30/40
1/8=5/40
1/10=4/40
30+5+4=39
16 less than the product of - 2 and -12
Answer:
8
Step-by-step explanation:
-12 x -2 = 24. 24-16=8
3. ¿Cuál es el valor de x
x3=100
Answer:
do you know the answers???
how you expect me to do this
In an arithmetic sequence, the first term is 2 and the second term is 5. Find the common difference.
Answer:
d = 3Step-by-step explanation:
In an arithmetic sequence the common difference is always the difference between the next term and the previous term:
[tex]d= a_2-a_1=a_3-a_2=...=a_{150}-a_{149}=....[/tex]
we have: [tex]a_1=2\quad and\quad a_2=5[/tex]
so:
[tex]d=5-2 =3[/tex]
67 hundreds into standard form
There's a difference between "hundredths" and "hundreds". I'm going to assume you mean 6,700.
Answer:
6.7*10^3
Step-by-step explanation:
Write out the number.
6700
Bring the decimal to the left. However many times you move over to the left until you get between 6 & 7 should be your exponent for 10.
6.7*10^3
If a+b+c=6,ab+bc+ca=11,then what is a3+b3+c3-3abc
(a+b+c)^3=a^3 +b^3+c^3-2(ab+ac+bc)
216=a^3+b^3+c^3-2(11)
a^3+b^3+c^3=238
but ıdk how can ı find -3abc :/
===============================================
Work Shown:
a+b+c = 6
(a+b+c)^2 = 6^2
(a+b+c)(a+b+c) = 36
a(a+b+c)+b(a+b+c)+c(a+b+c) = 36
a^2+ab+ca+ab+b^2+ca+bc+c^2 = 36
a^2+b^2+c^2+2ab+2bc+2ca = 36
a^2+b^2+c^2+2(ab+bc+ca) = 36
a^2+b^2+c^2+2*11 = 36
a^2+b^2+c^2+22 = 36
a^2+b^2+c^2 = 36-22
a^2+b^2+c^2 = 14
-----------------------
a^3+b^3+c^3-3abc = (a+b+c)*(a^2+b^2+c^2 - (ab+bc+ca) )
a^3+b^3+c^3-3abc = 6*(14 - 11)
a^3+b^3+c^3-3abc = 18