Answer: x^4 + x^3 + 7x^2 + 49x - 30
Step-by-step explanation:
first, we use the distributive property.
x^2 x (x^2 - 2x + 15) + 3x x (x^2 -2x + 15) - 2(x^2 - 2x + 15)
then, we remove the parenthesis.
x^4 - 2x^3 + 15x^2 + 3x^3 - 6x^2 + 45x - 2x^2 + 4x - 30
then, we collect like terms.
x^4 + x^3 + 7x^2 + 49x - 30
A 13ft ladder is leaning against a wall when its base starts ti slide away from the wall. By the time its base is 12 feet from the wall, the base is moving at the rate of 5ft/sec. How fast is the top of the ladder sliding down the wall?
Given :
A 13ft ladder is leaning against a wall when its base starts ti slide away from the wall.
By the time its base is 12 feet from the wall, the base is moving at the rate of 5ft/sec.
To Find :
How fast is the top of the ladder sliding down the wall.
Solution :
By, Pythagoras theorem, distance of ladder from horizontal to wall is 5 feet.
Now, [tex]x^2 + y^2 = 13^2[/tex]
Differentiating both sides, we get :
[tex]2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}=0\\\\(2\times 12\times 5) + (2\times 5 \times \dfrac{dy}{dt})=0\\\\\dfrac{dy}{dt}= -12 \ feet/sec[/tex]
(10 points) only answer section b plz
Graph the line that passes through the points (3, -5) and (-1, -9) and determine
the equation of the line.
Answer:
the slope intercept equation for this line would be y = x - 8
Step-by-step explanation:
the slope of the line is 1 so you dont have to include it in the equation and it crosses the y line at -8 so the y-intercept is -8
Answer:
y= x-8
Step-by-step explanation:
whats 17+-44 describe how you got that answer”
Answer:
17 plus 44 is 61.
Step-by-step explanation:
I used a calculator. In order for ur brain to learn something new, its got to get rid of some stuff. am I right?
write as a single fraction in its simplest form 2x -1 / 3 - 2/x + 1
Answer:
(2x^2 + x-7)/3x+ 3
Step-by-step explanation:
Here, we want to write the following as a single fraction;
2x-1/3 - 2/x + 1
That will be;
(2x-1)(x + 1) -2(3)/3(x+ 1)
= 2x^2+ 2x-x-1-6/3(x + 1)
= (2x^2+x-7)/3(x+1)
= (2x^2 + x-7)/3x+ 3
help with math? heres the question.
-
answer options:
8
2
5
3
A local coffee house donates 2 pounds of
gourmet coffee beans to be sold at a local
fundraiser. The people running the fundraiser
decide to package and sell the coffee beans
in pound packages. How many pound
packages can they make
Answer:
They can make 2
Step-by-step explanation:
The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2
Please help the question is in the photo
Answer:
SSS or SAS
Step-by-step explanation:
Elizabeth reduced a picture that is 10 inches long by 8 inches wide using a photocopier. the reduced picture is now 6 inches long. what scale factor did the photocopier reduce the picture?
Please show your work!
Answer:
0.6
Step-by-step explanation:
10l|8w
6l`|?w`
6/10=0.6
0.6 x 8w = 4.8w
Scale factor = 0.6
Step-by-step explanation:
please delete this comment
more of my math lesson plz help guyssss
is it yes or no??........
Answer:
No
Step-by-step explanation:
It's not proportional because the unit rate for each hour isn't the same.
60% of 89 is what number?
Answer:
53.4
Step-by-step explanation:
Pls help someone my brain is about to explode
Answer:
It has to be the third option.
Happy to help :)
Calculate the average speed of an insect that walked 27 centimeters in 9 seconds. *
A 9 cm/s
B 27 cm/s
C 243cm/s
D 3 cm/s
Answer:
D) 3cm/s
Step-by-step explanation:
Speed (or velocity) is calculated with d/t (distance/time). From the multiple-choice options, we know the unit is cm/s, which makes it super convenient.
Now, using the equation and seeing that 27cm is the distance and 9s is the time, 27/9 =3.
Therefore, the answer is D, 3cm/s.
Hope that helps!
Help me please!
How much can the Owen family expect to pay per year for tuition to a private college?
A)$22,568
B)$23.068
C)$24.618
D)$25.458
HELP ANSWER X FOR THIS ISOSCELES TRIANGLE THANK YOU
Answer:
Step-by-step explanation:
Remark
The point about the question is that the two sides are marked as equal.
Equation
3x + 5 = 5x + 1 Subtract 3x from both sides
Solution
3x - 3x + 5 = 5x - 3x + 1 Combine like terms
5 = 2x + 1 Subtract 1 from each side
5-1 = 2x +1 - 1 Combine
4 = 2x Divide by 2
4/2 = 2x/2
x = 2
Use the expression 10x2 + 9x + 11 to answer the following: Part A: How many terms are in the expression? Part B: Name all coefficients in the expression. Part C: What is the constant in the expression?
Answer:
terms 3
coefficients 2
constant is your 11
Step-by-step explanation:
please help me I dont want to do it and I am on a timed thing
Answer:
-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
-5 -15 = -20
-20+4 = -16
-16+15 = -1
Therefore, -5-15+4+15 = -1
Which describes the graph of y=(x+6)^2+1?
A. Vertex at (-6,-1)
B. Vertex at (6,-1)
C. Vertex at (-6,1)
D. Vertex at (6,1)
Which system of equations is represented by this graph?
y= _ x+3
y= _ x-3
The system of equations represented by the graph are
y = 2x + 3 and y = (-1/2)x - 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of one line on the graph.
y = mx + c
Select two coordinates from the line.
(0, 3) and (-3, -3)
m = (-3 - 3) / -3 = -6/-3 = 2
(0, 3) = (x, y)
3 = 0 + c
c = 3
The equation of the line is y = 2x + 3
The equation of the other line on the graph.
y = mx + c
Select two coordinates from the line.
(0, -3) and (2, -4)
m = (-4 + 3) / 2 = -1/2 = -1/2
(0, -3) = (x, y)
-3 = 0 + c
c = -3
The equation of the line is y = (-1/2)x - 3
Thus,
y = 2x + 3 and y = (-1/2)x - 3 are the system of equations.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
What is the value of x in this equation?
5x - 2(2x- 1) = 6
OA. 3
O B. 4
O C. 7
O D. 8
Answer:
C
Step-by-step explanation:
Answer:
B. 4
Step-by-step explanation:
5x - 2(2x-1) = 6 Distribute first the 2 to (2x-1)
5x - 4x + 2 = 6 Subtract 5x - 4x
x + 2 = 6 Transpose 2 to the right side by subtracting both side by 2
x = 6 -2
x = 4
Beckett purchased a diamond ring for $14,000. The value of the ring increases 2.1% every year
Answer:
14,000+2.1%(0.021)x
Step-by-step explanation:
x is how many years
Factor 72x−18xy
Find the Factor of 72x-18xy
Answer:
4x and (1-y)
Step-by-step explanation:
4x(1-y)
this is my answer
The factors of the expression are 18x and 4-y
Given the expression 72x - 18xy
Find the factor of each term:
72x = 18 * 4 * x
18xy = 18 * x * y
Since 18x is common to both terms, hence the factored form is expressed as:
72x - 18xy = 18x (4 - y)
The factors of the expression are 18x and 4-y
Learn more on factors here: https://brainly.com/question/24539261
Solve the inequality − 3 x + 6 > 15
Answer:
The Answer to your question is x<-7 Hope This could Help
Step-by-step explanation:
Answer:
x<−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
−3x+6>15
Step 1: Subtract 6 from both sides.
−3x+6−6>15−6
−3x>9
Step 2: Divide both sides by -3.
−3x/−3>9/−3
pls mark as brainliest
Lima beans $2.13 for 2 lb
Answer:
i think its $1.07 per pound.
Step-by-step explanation:
259 Students go on a field trip. There are 19 vehicles, some vans and some buses.
7 students can fit in a van, and 25 students can fit in a bus.
how many buses were there?
how many vans were there?
563/84 show how u solved
Answer:
u just have to divide
put the numbers in a calculator and the answer is 6.70238095238
Step-by-step explanation:
hope this helps
Answer:
you can't divide it
if u do then its
6.70238095238095238095.............................
6 r 59
Step-by-step explanation:
ok ok um so
multiples of 84:
84
168
252
336
420
504
588
we take 504
563-504 = 59
504/84 = 6
so 6 r 59
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPP
SHOW YOUR WORKKKKKKKKKKKKKKKKKK
Tom sells Tvs at an electronic store. He gets paid $100 for each TV he sells. He also gets a $500 bonus each month for selling above a certain amount. Tom wants to make a least $1,500 this month. How many TVs will he have to sell if he gets $500 bonus?Chose the inequality that best represents this situation.
A. 100t+500≥1,500
B. 100t+500≤1,500
C. 100t+500<1,500
D. 100+500t≥1,500
Explain your reasoning and solve the inequality:
Answer:
The answer is A
Tom will have to sell at least 10 TVs to get the bonus and to get $1,500
Step-by-step explanation:
Total: The same or above 1500
Tom gets paid 100 for each TV = 100t
He can get a 500 bonus by selling a certain amount = 500
100t + 500 ≥ 1,500
100t + 500 - 500 ≥ 1500 - 500
100t ≥ 1000
100t ÷ 100 ÷ 1000 ÷ 100
t ≥ 10
Tom will have to sell at least 10 TVs to get the bonus and to get $1,500
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
help im confusion......
Answer:
Line J
Step-by-step explanation:
It is sloping downwards. It starts in the top left and end at the bottom right, so it it the only negative one
Answer:
Line J
Step-by-step explanation:
Its the only one descending downwards, while the other two are going up in a positive direction.
Hope this helps (:
The entrance to our school has a height of 10.5 feet. There are approximately 30.5 centimeters in 1 foot. What is the height of the entrance in centimeters?
Answer:
320.25 centimeters
Step-by-step explanation:
you multiply 10.5 * 30.5
