Answer:
x^2 -x -2
Step-by-step explanation:
Use polynomial long division.
0 + x^2 -x -2
___________________________________
(2x+3) | 2x^3 +x^2 -7x -6
-2x^3 -3x^2
_________
-2x^2 -7x
+2x^2 +3x
__________
-4x -6
+2x +6
_______
0
Which expression represents the prime factorization of 450? A. 2 x 3 x 5 x 5 B. 2 x 2 x 5 x 5 C. 2 x 3 x 3 x 5 x 5 D. 2 x 2 x 3 x 5 x 5
Answer:
c
Step-by-step explanation:
The prime factorization of 450 is 2 × 3 × 3 × 5 × 5. Written with exponents, the answer is 2 × 32 × 52.
It expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5. The correct answer is option C.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
The given number is as follows:
450
We need to write 450 as the product of its prime factors, which is 450.
⇒ 450 = 2 x 3 x 3 x 5 x 5
Hence, it expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5.
Therefore, the correct answer is option C.
Learn more about Prime Factorization here:
brainly.com/question/4184435
#SPJ7
Identify the conclusion of the statement.
If a line is vertical, then the slope of the line is undefined.
A)
a line is vertical
B)
a line is horizontal
C)
the slope of the line is zero
D)
the slope of the line is undefined
Answer:
D) The slope of the line is undefined
Step-by-step explanation:
A vertical line will have an undefined slope, because it does not run horizontally.
To find the slope, you calculate it with rise over run, however, a vertical line will not run horizontally, meaning the run is 0.
And, dividing anything by 0 will get you an undefined answer.
So, D is correct. the slope of the line is undefined
Answer:
the slope of the line is undefined
Step-by-step explanation:
i just took test
Torque is described as T = r * F, where r = radius which is measured in feet from the fulcrum point and F = Force which is measured in pounds. What is a possible unit measure for Torque?
Answer:
(pound-feet)
Step-by-step explanation:
Given that:
Torque = r × F
Where ; r = radius in feet ; F = force in pounds
Hence, a possible unit measure of torque using the units provided for both force and Radius will be :
r (feet) × F (pounds) = Torque (pound-feet)
Hence, the possible unit of measure of torque = (pound-feet)
Other unit measure may be :
r (metres) × F(Newton) = Torque (newton-metre)
If f(x) = 5 - 2x, find f(-15)
Answer: 35
Please give me Brainliest
Find all points on the curve x=4cos(t),y=4sin(t) that have the slope of 12.
Answer:
[tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].
Step-by-step explanation:
We need to find all the points on the curve x=4cos(t),y=4sin(t) that have the slope of 1/2.
[tex]x=4cos (t)[/tex]
[tex]\dfrac{dx}{dt}=-4sin (t)[/tex]
[tex]y=4sin (t)[/tex]
[tex]\dfrac{dy}{dt}=4cos (t)[/tex]
Now,
[tex]\dfrac{dy}{dx}=\dfrac{dy}{dt}\times \dfrac{dt}{dx}[/tex]
[tex]\dfrac{dy}{dx}=4cos (t)\times \dfrac{1}{-4sin (t)}[/tex]
[tex]\dfrac{dy}{dx}=-\cot t[/tex]
So, slope of the curve is [tex]-\cot t[/tex].
[tex]-\cot t=\dfrac{1}{2}[/tex]
[tex]-\tan t=2[/tex]
[tex]\tan t=-2[/tex] ...(1)
Using [tex]\sec^2t=1+\tan^2t[/tex], we get
[tex]\sec^2t=1+(-2)^2[/tex]
[tex]\sec^2t=1+4[/tex]
[tex]\sec t=\pm \sqrt{5}[/tex]
[tex]\cos t=\pm \dfrac{1}{\sqrt{5}}[/tex]
Now,
[tex]\sin^2t=1-cos^2t[/tex]
[tex]\sin t=\pm \sqrt{1-\dfrac{1}{5}}[/tex]
[tex]\sin t=\pm \sqrt{\dfrac{4}{5}}[/tex]
[tex]\sin t=\pm \dfrac{2}{\sqrt{5}}[/tex]
It equation (1), tan(t) is negative. So, sin and cos have different signs.
If [tex]\sin t= \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t=- \dfrac{1}{\sqrt{5}}[/tex].
[tex]x=4cos (t)=-\dfrac{4}{\sqrt{5}}[/tex]
[tex]y=4sin (t)=\dfrac{8}{\sqrt{5}}[/tex]
If [tex]\sin t=- \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t= \dfrac{1}{\sqrt{5}}[/tex].
[tex]x=4cos (t)=\dfrac{4}{\sqrt{5}}[/tex]
[tex]y=4sin (t)=-\dfrac{8}{\sqrt{5}}[/tex]
Therefore, the two points are [tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].
Which point represents the approximate location of 28?
A) point A
B) point B
C) point C
D) point D
Answer:
a.
Step-by-step explanation:
It appears to be increasing in increments of ten
what fraction is bigger? 3/7 or 5/12. let me know the method.
Answer:
3/7
Step-by-step explanation:
3/7 5/12
36/84 35/84
Find the inverse of f(x)=(1/3x)-7 Please show the steps.
Answer:
[tex]y = 3(x +21)[/tex]
Step-by-step explanation:
Find the inverse this equation:
[tex]f(x) = (\frac{1}{3}x) - 7[/tex]
-Take the variable [tex]y[/tex] for [tex]f(x)[/tex], because both
[tex]y = (\frac{1}{3}x) - 7[/tex]
-Switch both variable [tex]x[/tex] and [tex]y[/tex] :
[tex]y = (\frac{1}{3}x) - 7[/tex]
[tex]x = (\frac{1}{3}y) - 7[/tex]
-Solve for [tex]y[/tex] :
[tex]x = (\frac{1}{3}y) - 7[/tex]
-Switch sides:
[tex]\frac{1}{3}y - 7 = x[/tex]
-Add both side of the equation by [tex]7[/tex] :
[tex]\frac{1}{3}y - 7 + 7 = x + 7[/tex]
[tex]\frac{1}{3}y = x + 7[/tex]
-Multiply both sides by [tex]3[/tex] :
[tex]\frac{\frac{1}{3}y}{\frac{1}{3} } = \frac{x + 7}{\frac{1}{3} }[/tex]
[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]
-Divide [tex]x + 7[/tex] by multiplying by [tex]\frac{1}{3}[/tex]
[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]
[tex]y = 3(x +21)[/tex]
Therefore, the answer is [tex]y = 3(x +21)[/tex].
Round to the number of decimal places stated in bracket.
2.374 [2]
Answer:
2.37
I hope this helps, also next time make sure your question makes sense
Please help! This is due at 11:59pm (the problem is stated in the photo)
Answer:
y=-5x
Step-by-step explanation:
this is because slope intercept form is y=mx+b
if m= -5 and b=0 the answer would be
y=-5x+0
simplified it would be
y=-5x
Jared spent 8 hours at his factory job last Monday. Two-thirds of the
time, he worked on the Flex Line assembling air conditioners. How
much time did he end up working on the Flex Line?
Answer:
Jared worked 5.3 hours working on the Flex Line
Step-by-step explanation:
Jared spent 5 hours and 36 minutes on Flex line.
What is work done ?Work done is product of time taken and rate of work.
when the amount of work done is constant the more efficient a person is the lesser time it will require to complete the work this is also known as inverse proportion.
In the given question
Total hours of work done by Jared is 8 hours.
2/3rd of the time he spent on Flex line
2/3rd of 8 hours is
(2/3) × 8
= 16/3
= 5.3 hours or 5 hours and 36 minutes. (3×12)
Learn more about Man Day Work here :
https://brainly.com/question/7155286
#SPJ2
A store sells candles.
• The retail price was a 45% markup
over the manufacturer price.
• A month later, the store reduced the
retail price of the candles by 20
percent.
What percent markup is the new retail
price over the manufacturer price?
Answer:
25%
Step-by-step explanation:
If you start at 45% and it reduces by 20% you are just doing 45-20 which equals 25. (Please let me know if im wrong)
16 percent markup is the new retail price over the manufacturer price.
Here,
A store sells candles.
Retail price will be 45% marked-up
A month later, store reduced the retail price of the candles by 20%.
We have to find the percent markup.
What is the percentage?
The percentage is the value per hundred.
Now,
Consider the manufacturer price = 100x
Retail price will be 45% marked-up
Hence, 100x+45% of 100x = 145x
Reduced retail price of the ladder after one month = 145x-145x*20/100
Reduced retail price of the ladder after one month = 116x
Percentage markup of the reduced retail price over the manufacturer price will be:
={(reduced retail price - manufacturer price)/manufacturer price} *100
=[ (116x-100x)/100x ] *100 = 16%
Hence, 16 percent markup is the new retail price over the manufacturer price.
Learn more about the Percentage visit:
https://brainly.com/question/19247356
#SPJ2
Given: 2x/4 = 5x+8/2 Prove: X =-2
What is the equation of the line
The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.
The perimeter of a rectangle is twice its length added to twice its width.
[tex]2l+2w=22[/tex]
The length is 3 more than the width:
[tex]l = w+3[/tex]
We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].
[tex]2(w+3) + 2w = 22[/tex]
Distribute the first terms:
[tex]2w+6+2w=22[/tex]
Combine like terms:
[tex]4w+6=22[/tex]
Subtract 6 from both sides:
[tex]4w=16[/tex]
Divide both sides by 4:
[tex]w = 4[/tex]
Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].
[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]
Hope this helped!
Answer:
What the other guy said XDDDDDDDDDD
Step-by-step explanation:
I'm awesome =D
Help!!!!!! Put the circle with the greatest area on top. circumference = 30 diameter = 3 radius = 10
Answer:
10 , 30 , 3
Step-by-step explanation:
Your radius: 10 is the greatest
The circumference is 30 that came from 10 x 3( diameter x radius)
and the diameter is 3 which is the smallest
(-7)-(-2)
what is negative 7 minus negative 2
Answer:
is -5.
Step-by-step explanation:
add 2 to -7
Answer:
-5
Step-by-step explanation:
A negative minus a negative will also result in a negative. Subtracting regularly and adding a negative symbol will give you your'e answer.
Tier: Homework 1
Solve 2(4y - 5) = 14 983
Answer:
y = 1874.25
Step-by-step explanation:
2(4y - 5) = 14 983
2*4y + 2*-5 = 14983
8y - 10 = 14983
8y = 14983 + 10
8y = 14993
y = 14993/8
y = 1874.25
Answer:
Step-by-step explanation:
2(4y - 5) = 14
8y - 10 = 14
8y = 24
y = 3
any actives ???can y’all please help me
Answer:
The right answer is B.
Step-by-step explanation:
because u are solving for y which makes u subtract.
16+24/8-6 is equal to________
Answer: The answer is 28. Hope this helps:)
Answer:
-1
hope this helps
plz mark brainleist
I’m so confused what it is asking? (see the attached image)
Answer:
sole it
the(<) it wants you to figure out each side and put the inequality in between what you get
2. The table shows the amount
spent on tomatoes at three different stands
at a farmer's market. Which stand sold their
tomatoes at the least
expensive price per
pound, and what is that price? Round to the
nearest cent, if necessary. (Lesson 1)
Stand
Weight (lb)
Cost ($)
A
3
4
2.00
B
mit - ab
3.45
с
14.85
Hanson has 38 pieces of candy. He gives away c of the pieces. Write an expression that
shows the number of pieces of candy Hanson has left.
Answer:
38-c
Step-by-step explanation:
We know that the answer is 38-c because any piece of candy that Hanson gives away will be subtracted from the amount that he started out with.
You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $2.79 a pound, which is cheaper than your usual neighborhood store, which sells it for $3.19 a pound. Is it worth the extra drive?
Write an expression to represent the perimeter of the triangle below in simplest form
Answer:
Perimeter of the given triangle = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
Step-by-step explanation:
Perimeter of a polygon = Sum of the measures of all sides of the polygon
From the picture attached,
Perimeter of the given isosceles triangle = Measures of two equal sides + remaining side
P = [tex]2(\frac{3}{x+8})+\frac{x}{x+5}[/tex]
= [tex]\frac{6}{(x+8)}+\frac{x}{(x+5)}[/tex]
= [tex]\frac{6(x+5)+(x+8)}{(x+8)(x+5)}[/tex]
= [tex]\frac{6x+30+x+8}{(x+8)(x+5)}[/tex]
= [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
Therefore, perimeter of the given triangle is [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
Solve for the following variable(show your work).
Answer:
5) x=3 6) x=9 7) x=12 8) x=9
Step-by-step explanation:
math 3- Piecewise defined function
Step-by-step explanation:
A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.
You are working hard at the local grocery store each weekend. You have decided to put your money in a compound interest bearing account earning 4% per year. How many years would you estimate that it would take for you to double your money
Answer:
The answer would be 18 years
Step-by-step explanation:
hope this helps:)
a. If a bus travels 6km in to minutes, what
distance does it travel in Isecondo
Answer:
60 second
Step-by-step explanation:
6km into minutes
1 minutes is 60 second
The number 480 was changed to 4.8 times a
Answer:
100
Step-by-step explanation:
480/4.8=100
4.8x100=480