Answer: [tex]2x^3-2x^2-13x+3[/tex]
======================================================
Work Shown:
I'm assuming you meant to say [tex](x - 3)(2x^2 + 4x - 1)[/tex]
Let [tex]y = x-3[/tex]
So,
[tex](x - 3)(2x^2 + 4x - 1)\\\\y(2x^2 + 4x - 1)\\\\y2x^2 + y4x - y\\\\2x^2(y) + 4x(y) - (y)\\\\2x^2(x-3) + 4x(x-3) - (x-3)\\\\2x^3-6x^2 + 4x^2-12x - x+3\\\\2x^3-2x^2-13x+3\\\\[/tex]
The basic idea is to use the distribution rule (line 3 and line 6) and then combine like terms.
A rectangular swimming pool is 8 ft deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is 2800 cubic feet. Find the dimensions of the pool. The smaller dimension of the pool is enter your response here ft and the larger dimension is enter your response here ft.
Answer:
smaller: 10 ftlarger: 35 ftStep-by-step explanation:
The volume of the pool is given by ...
V = LWH
Here, we have ...
V = 2800 ft³
H = 8 ft
L = 3.5W
Filling in these values, we have ...
2800 ft³ = (3.5W)(W)(8 ft)
100 ft² = W² . . . . . . . . . . . . divide by 28 ft
W = √(100 ft²) = 10 ft
L = 3.5W = 35 ft
The pool is 10 ft by 35 ft.
May I please receive help?
Answer:
9.2 ft
Step-by-step explanation:
The shape is a triangle, the 11 ft is your hypotenuse
You need to use the Pythagorean Theorem!
a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)
so --->
a^2 + (6^2) = 11^2
a^2 + 36 = 121
~subtract 36 to the right side~
a^2 = 85
now find the square root of 85:
a = 9.21954
round it to the nearest tenth:
a = 9.2
final answer: 9.2 ft
hope this helpsss
Step-by-step explanation:
Apply Pythagoren Theorem.
[tex] {x}^{2} + {y}^{2} = {c}^{2} [/tex]
where x and y is the legs (the sides that form a right triangle) and c is the hypotenuse.
the legs are 6 and our unknown. so let x represent the unknown
[tex] {6}^{2} + {x}^{2} = {11}^{2} [/tex]
[tex]36 + {x}^{2} = 121[/tex]
[tex] {x}^{2} = 85[/tex]
[tex]x = \sqrt{85} [/tex]
x=9.2
1) The graph below represents the function y = f(x). State the domain and range of this
function in interval notation.
find the smaller of 2 consecutive numbers if the sum of the smaller and twice the larger is -4
Answer:
2
Step-by-step explanation:
n = the smaller even integer
n +2 = the next even integer
The wording of the question translates into:
2n + (n+2) = -4
3n +2 = -4
3n = -6
n = -2
Help me pleaseeee with this
Find the values of x and y.
Answer:
x=68/9; y=38/3.
Step-by-step explanation:
1) according to the condition m(ABC)=m(DEF), then 6y-4=80, ⇒ y=38/3;
2) according to the condition AB=DE, then 10=3x-y. If y=38/3, then 10=3x-38/3; ⇒ x=68/9.
which statement about tuition is the most accurate?
Answer:
C. Public colleges are cheaper for in-state residents.
Step-by-step explanation:
what is 44÷33= please for answer
Step-by-step explanation:
44 ÷ 33
= 1.333333333..........
Hope it's helpful.
Solve the Math problem
Answer:
1. Becky, 2. No one, 3. Brian and Carol, 4. Tom, 5. Jake
Step-by-step explanation:
The order has to be Brian, Tom, Jake, Becky, and Carol.
1. Becky
2. No one
3. Brian and Carol
4. Tom
5. Jake
pls pls plz plz pls help
Answer:
x is 24°
Step-by-step explanation:
angles substended by the same chord or arc....90-66= 24°.
If you were to pour marbles into a cup of water, you would make a __________.
A. heterogeneous
B. homogeneous
Answer:
heterogeneous is the answer
The expression 3.5d + 5 represents the number of miles Erin ran last week when she ran 5 miles on sunday and 3.5 miles each day after Sunday. The expression 2.5d+ 3 represents the number of miles Luis ran last week when he ran 3 miles on Sunday and 2.5 each day after Sunday what expression can be used to determine the total amount erin and Luis ran last week
Answer: 14 miles
Step-by-step explanation: 3.5d+5+2.5d+3
(1-sin^2x) (1+tan^2x)=1
[tex]1 - sin {}^{2} x \times 1 + \tan( { }^{2} ) x = 1[/tex]
Prove that :
Please help i need the right one
[tex]\tt (1 - sin ^2x)\times(1+tan^2x) = 1[/tex]
L.H.S
[tex]\tt cos^2x \times sec^2x[/tex]
[tex]\tt cos^2x \times \frac{1}{cos^2x}[/tex]
[tex]\tt \cancel{ cos^2x} \times\cancel{ \frac{1}{cos^2x}}[/tex]
[tex]\tt 1[/tex]
R.H.S
Hence proved
Step-by-step explanation:
[tex]{ \tt{ \blue{(1 - { \sin}^{2}x )(1 + { \tan }^{2}x) = 1 }}}[/tex]
• Remember → 1 + tan²x = sec²x
[tex] = { \tt{ \blue{(1 - { \sin }^{2}x)( { \sec}^{2}x) }}}[/tex]
• But sec²x → 1/cos²x
[tex] = { \tt{ \blue{(1 - { \sin}^{2} x)( \frac{1}{ \cos {}^{2} x} )}} }\\ \\ = { \blue {\tt{ \frac{1 - { \sin }^{2}x }{ { \cos }^{2}x } }}}[/tex]
• Remember from the first identity of trignometry;
[ cos²x + sin²x = 1 ].
• Therefore: [ cos²x = 1 - sin²x ]
[tex] = { \blue{\rm{ \frac{1 - { \sin}^{2}x }{1 - { \sin }^{2}x } }}} \\ \\ { \rm{ \blue{= 1 \: }}}[/tex]
Hence proved.
Need help ASAP! Directions in picture;)
Simplify the complex number.
(8i) (5) (-4-6i)
Answer:
4th option
Step-by-step explanation:
noting that i² = - 1
(8i)(5i)(- 4 - 6i)
= 40i²(- 4 - 6i)
= 40(- 1)(- 4 - 6i)
= - 40(- 4 - 6i) ← distribute parenthesis by - 40
= 160 + 240i
[tex](8i)(5i)(-4-6i)\\\\=40i^2(-4-6i)\\\\=-40(-4-6i)~~~;[i^2=-1]\\\\=160+240i[/tex]
Does 12/15 and 14/17 form a proportion?
Answer:
yes they form a proportion
Solve for.
11x +4 < 15
OR
12x – 7 > -25
Choose 1 answer:
3
<3 <1
3
B
>>
1910
<1
Step-by-step explanation:
11x-4<15
11x<15+4
11x<19
x<1
Can someone help me with this question
Answer:
$2.40
Step-by-step explanation:
Answer:
48 mph
Step-by-step explanation:
Since you get fined $12 for each mile per hour over and she was fined $96, we can set an equation to find how many miles per hour she was over:
12*x=96
x=8 mph over the speed limit
Since the speed limit is 40, then she was going 40+8=48mph
If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight
Please help. 0=25x^2 + 80x + 68
the number of the students of a school was 640 last year and it is 800 by how many percent is the number increased
Answer:
The number of students would have increased by 25%.
Step-by-step explanation:
Answer:
25% more
Step-by-step explanation:
640 100
800 x
---------------
cross-multiplication = 100*800 = 80000/640 = 125
What is the range of the relation?
Question 9 options:
{–4, –2,–1, 2}
{–4, 4}
{–3, –2, 0, 2}
{–4, –2, –1, 0, –2}
Answer:
{- 3, - 2, 0, 2 }
Step-by-step explanation:
The range is the y- coordinates of the points
(- 4, - 3 ) , (- 1, - 2 ) , (- 2, 0 ) , (0, 2 )
The y- coordinates are - 3, - 2, 0, 2
Then the range is { - 3, - 2, 0, 2 }
PLEASE HELP!!!
Which of the following are equations for the line shown below? Check all that
apply.
(5,1)
5
5
(-5,-3)
5
A. y + 3 = 0.4(x + 5)
B. Y-1 = 0.4(x - 5)
C. y - 3 = 0.4(x - 5)
Y5-06
1)
Answer:
The answer is A and B
Step-by-step explanation:
y-y=m(x-x)
y-(-3)=m(x-(-5))
y+3=0.4(x+5)
y-y=m(x-x)
y-1=0.4(x-5)
calculate average or arthmetic mean
Answer:
mean/average is calculated by adding all of the values and dividing by the number of values
ur welcome queen besitie slay
Complete the sentence.
Twenty-seven is % of 60.
Answer:
45 percent
Step-by-step explanation:
Have an awesome day!
Trignometry plzz helpppp asappp
Answer:
[tex]x\approx4.5[/tex]
Step-by-step explanation:
In relation to ∠U, we are given the triangle's opposite side and adjacent side. Therefore, we should use the tangent function to determine the opposite side:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
[tex]tan(34^\circ)=\frac{x}{6.7}[/tex]
[tex]6.7tan(34^\circ)=x[/tex]
[tex]x=6.7tan(34^\circ)[/tex]
[tex]x\approx4.5[/tex]
sum of 5r and 7, divided by 15
Answer: 7r/3
Step-by-step explanation:
5r*7/15 = 35r/15 = 7r/3
someone help please :)
Answer: not shaded i think
Step-by-step explanation:
Answer:
Not shaded, because the equation is not true when you plugged in ( 0,0)
Step-by-step explanation:
A teacher orders school supplies by the pound.
A flat fee of
$
15.25
plus
$
3.45
per pound of supplies ordered is added to the bill to cover the shipping cost.
The teacher budgets
$
49.75
for the shipping cost.
Which list of values best represents the entire domain for shipping,
f
(
x
)
, as a function of the number of whole pounds of school supplies the teacher can order,
x
?
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
}
{ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 }
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
{ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
}
{ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
,
13
,
14
}
{ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 }
Answer: 10
Step-by-step explanation:
I did the math, also not to be rude but stop using so many 'enter' commands
solve for x and y show work please Y:______ X:_____
Answer:
the image was not clear....hope the values are correct
Answer is in the attached file.