[tex](-4x^3-x^2+3)-(x^3-2x^2-7x+2)\\\\=-4x^3 -x^2 +3 - x^3 + 2x^2 + 7x -2 \\\\= -5x^3 +x^2 +7x +1 \\\\=-5x^3 -5x^2 +6x^2 +6x+ x+1\\\\=-5x^2(x+1) +6x(x+1) + (x+1)\\\\=(x+1)(-5x^2 +6x +1)\\\\=-(x+1)(5x^2 -6x -1)[/tex]
Which group of numbers is listed from least to greatest?
0 -2,3,5,-8,9
0 -4, -6, -7,-8, -9
0 -2,-1, 0, 4,9
O 7,4, -6, -7, -9
Answer:
the third one
zero should always come after the negatives, and a whole number should always end the set.
Show that sec(x)-tan(x)sin(x)=cos(x)is an identity for any value of x.
Here is one way to show that the left side is identical to the right side.
[tex]\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\[/tex]
Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.
Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".
can someone please tell me whether the answer is a, or b? or if it’s none of those. ty :)
Find the length of the second base of a trapezoid with one base measuring 12 feet,a height of 4,and an area of 58 square feet.
Answer:
Step-by-step explanation:
A = ½(b₁ + b₂)h
b₂ = 2A/h - b₁
b₂ = 2(58)/4 - 12
b₂ = 17 ft
I need help with this, i did part of it but i'm desperate
Answer:
Let's add more steps.
step 6: angle AEB measures 360 - 90 -90 - 70 - 39 = 71° Reason, AECF is a quadrangonal and three of its angle measures 90, 90, and (70+39)
step 7: angles AEB and ABE are congruent: reason triangle ABE is isosceles since AE is conruent to AB
step 8 Angle BAE measures 180 -71-71 = 38°: by difference from the sum of the internal angles.
step 9: Angle BAD measures 90 - BAE = 90 - 38 = 52° Reason angles BAD and BAE are complementary.
QED
The following are water temperatures at various beaches in San Diego:
58° 61° 68° 65° 58°
What is the mode of the data set?
Answer:
Mode is 58 degrees
Step-by-step explanation:
What is a finance charge?
Hope It's Help
- Atriangle is 3 cm wider than it is tall. The area is 14 cm^2. Find the height and the base.
Answer:
7 and 4
Step-by-step explanation:
If you set up a rectangle you get an area of 28 cm^2
4x7=28
the base is 7 cm
the height is 4 cm
What is 18x4=9xn? Just tell me the answer.
Answer:
Step-by-step explanation:
x=0
Answer:
8
Step-by-step explanation:
18×4 = 72
And 72 ÷ 9 = 8
So 9×8 would be 72
How do you rationalize the denominator of a radical expression that has two terms in the denominator? (For example, the denominator is 1+√5.)
Answer:
A / (1 +√5) = A (1 - √5) / (1 - 5) = -A (1 - √5) / 4
Multiply numerator and denominator by (1 - √5)
Find the derivative of y=a^x
If y = aˣ, then y = exp(ln(aˣ)) = exp(x ln(a)). (Here I use exp(x) = eˣ.)
Then using the chain rule, the derivative of y is
dy/dx = exp(x ln(a)) • ln(a)
and undoing the rewriting, we end up with
dy/dx = ln(a) aˣ
!PLS HELP ASAP 30 POINTS !Determine the seating of an auditorium with 35 row of seats if there are 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, 19 seats in the forth, and so on. What is the total number of seats?
Answer: 2135
step by step explanation:
I don't really think this is necessary
The mass of a an atom of helium is 6.65 x 10−24. Use scientific notation to express the mass of 250 helium atoms. A) 1.6625 x 10−21 B) 1.6625 x 10−22 C) 1.6625 x 10−24 D) 1.6625 x 10−26
Answer: its A
Step-by-step explanation:
i know this is it
A triangle can have a maximum of how many non-acute angles?
Answer:
we have only two or three acute angles in a triangle. so ima say at least 1
Step-by-step explanation:
6/24 divided by 12/16 show work please
The value when 6/24 is divided by 12/16 is equal to 1/3.
To divide the fraction 6/24 by 12/16, we can simplify the problem by multiplying the first fraction by the reciprocal of the second fraction.
Reciprocal of 12/16 is 16/12.
So, the division can be written as:
6/24 ÷ 12/16 = 6/24 × 16/12
6/24 = (6 ÷ 6) / (24 ÷ 6) = 1/4
16/12 = (16 ÷ 4) / (12 ÷ 4) = 4/3
Now, we have:
1/4 × 4/3
To multiply fractions, we multiply the numerators together and the denominators together:
(1 × 4) / (4 × 3)
= 4/12
The fraction 4/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:
(4 ÷ 4) / (12 ÷ 4)
= 1/3
Therefore, 6/24 divided by 12/16 is equal to 1/3.
To learn more on Division click:
https://brainly.com/question/21416852
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A tree casts a shadow of 69.53 feet. A 5 feet pole casts a shadow of 8.97 feet. Find
the height of the tree.
Answer:
The height of the tree is 38.76.
Step-by-step explanation:
[tex]\frac{x}{69.53} =\frac{5}{8.97}[/tex]
x= [tex]\frac{69.53x5}{8.97}[/tex]
69.53x5= 347.65
347.65 8.97= 38.75696767
round the number (38.76)
Hope this helps
sorry if its wrong
A polynomial function has a zero at x = 1 with a multiplicity of 3 and a zero at x = -2 with a multiplicity of 1. The y – intercept for the function is (0, -8). Write an equation for this polynomial.
Answer:
f(x) = 4(x -1)^3·(x +2)
Step-by-step explanation:
Each root x=p indicates the function has a factor (x -p). The factor will be repeated according to the multiplicity of the root.
f(x) = a(x -1)^3·(x +2)
f(0) = a(-1)^3·2 = -2a = -8 ⇒ a = 4
The factored form of the equation is ...
f(x) = 4(x -1)^3·(x +2)
someone help me with this it’s literally easy but i’m still having a hard time to do it
Answer:
m2= 83 m1=97 m4=83
Step-by-step explanation:
m3 and m1 are corresponding by being verticle so they're the same
m3 and m2 are supple whcih mean they add to 180, so subtract 180-97 which is 83.
m2 and m4 are corresponding by being verticle so they're the same
Gary wants to buy a video game with a selling price of $48 on sale for 50% off. The sales tax in his state is 4.5%.
Answer:
$25.08
Step-by-step explanation:
$48 to which you apply the 50%
48/2= $24
then you add the sales tax:
24+4.5%= 25.08
Help help help help help help help MATH MATH
Answer:
60
Step-by-step explanation:
if 5/7 of x is 5/21 then what's x?
[tex] \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} [/tex]
Answer:
[tex]x = \frac{1}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
A school has 2880 students. The following information refers to the students:
7/20 are freshmen, 2/9 are juniors, 1/6 are seniors. What fractional part are sophomores?
How many students are sophomores?
Answer:
752
Step-by-step explanation:
7/20 of 2880 = 1008
2/9 of 2880 = 640
1/6 of 2880 = 480
2880 - 1008 - 640 - 480 = 752
10+8x > 2 Solve each inequality
Answer:
x>-1
Step-by-step explanation:
8x>2-10
8x>-8
x>-1
Answer:
x>-1
interval notation: (-1,infinty)
0.80x= 28 what is x
please help
Answer: x is nothing.
Step-by-step explanation: The goal is to get x by itself not with the numbers. You just have to solve the equation and whatever you get is equal to X. Example- your problem is 0.80x= 28 which would equal 172 if you're tryna find the solution. X does not matter in your equation and remember x can be any number! I'm not good at explaining so i'm sorry if you have no idea what i'm talking about. I hope this helps!
Your answer is 172.
-Notsonerdy
100 divided by 16.4 as a fraction
Answer:
25/4.1 or 6 and 2/5
Step-by-step explanation:
I can simplify both 100 and 16.4 by 4, so: 100/16.4=25/4.1
Because this is an improper fraction, I simplify it to: 6 and 2/5
1/2x-3 + 5x/2x+6 = 2, Solve for x
Answer:
1/2x-3 + 5x/2x+6 = 2
1/2x-3 + 5/2+6 = 2
1/2x-3 + 2.5+6 = 2
1/2x + 5.5 = 2
1/2x = 2-5.5
1/2x = 3.5
1 = -3.5 × 2x
1 = -7x
x = -1/7
hope it helps :)
5. Find cos 0 if sin 0= -12/13
and tan 0 > 0.
Answer:
-512
Step-by-step explanation:
-2.7f + 0.3f - 16 - 4=
Answer:
-2.4f or -8 1/3
Step-by-step explanation:
I am not sure what should be at the end of the equal sign but if it is to simplify it would be -2.4f-20
If you want to solve then you get -2.4f=20 so f=-20/2.4 which equal to -8 1/3
Cylinder height of 8 inches with hemisphere withdiameter of 6 inches what the volume
Write an equation and solve the sum of twenty one and five
times a number f is 61