From the information given, it can be inferred that the expansion of the equation will be 5a - 9b + 16 - ab.
= 2(- a + 5) – 3 (a + 5b-2)+b (6-a)
We've to expand the functions and this will be:
= -2a + 10 - 3a - 15b + 6 + 6b - ab
Collect like terms
= - 2a - 3a - 15b + 6b + 10 + 6 - ab
= -5a - 9b + 16 - ab
Therefore, the expression is equivalent to 5a - 9b + 16 - ab.
Learn more about equations on:
https://brainly.com/question/13763238
Hunter pushed a couch across the room. He did 800 J of work in 20 seconds. The couch weighed 500 N. How much power did he have?
A . 40 W
B . 1.6 w
C. 16,000 w
D . 800 w
factorize
a)a²x+2ax-3x+5a²+10a-15
b)(a+b)(a-b)-a+b
c)x³-x²+x+x²y-xy+y
Answer:
(a)x(a^2+2a-3)+5(a^2+2a-3)
the range of the function y=secx-2 is all reals except
-1
1
-3
-2
Answer:
For a function y = f(x), the range is the set of all the possible values of y.
In the question you wrote:
y = secx - 2
This can be interpreted as:
y = sec(x - 2)
or
y = sec(x) - 2
So let's see each case (these are kinda the same)
If the function is:
y = sec(x - 2)
Firs remember that:
sec(x) = 1/cos(x)
then we can rewrite:
y = 1/cos(x - 2)
notice that the function cos(x) has the range -1 ≤ y ≤ 1
Then for the two extremes we have:
y = 1/1 = 1
y = 1/-1 = -1
Notice that for:
y = 1/cos(x - 2)
y can never be in the range -1 < x < 1
As the denominator cant be larger, in absolute value, than 1.
Then we can conclude that the range is all reals except the interval:
-1 < y < 1
If instead the function was:
y = sec(x) - 2
y = 1/cos(x) - 2
Then with the same reasoning, the range will be the set of all real values except:
-1 - 2 < y < 1 - 2
-3 < y < -1
A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of the plastic in the pipe?
Answer: [tex]V=0.0028278\ m^3[/tex]
Step-by-step explanation:
Given
Length of the pipe [tex]l=4\ m[/tex]
Inside diameter of the pipe [tex]d_i=4\ cm[/tex]
Outside diameter of the pipe [tex]d_o=5\ cm[/tex]
Volume of the pipe
[tex]\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3[/tex]
14 A curve has equation y=x2 - 6x² + 16. Find the coordinates of the two turning points.
Step-by-step explanation:
there is something wrong with your problem description.
you really mean x² - 6x² + 16 ?
or is it 2x - 6x² + 16 ?
in any case this would be a squared equation, which does not have 2 turning points.
we would need an equation with x³.
for that we would create the 1st deviation, which would be then a squared equation with 2 solutions, which would be the 2 turning points of the initial equation.
Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1
Answer:
2x²+3x-6
Step-by-step explanation:
f(x)+g(x)
= x²+6x-5+x²-3x-1
=2x²+3x-6
chứng minh mệnh đề sau bằng phương pháp phản chứng:
" Nếu phương trình bậc hai ax2+bx+c=0 vô nghiệm thì a và c cùng dấu"
Answer:
Which language is this ?????
A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.
Amount of Paint and Size of Wall
Area of wall feet squared, x
64
144
400
Amount of paint (pints), y
4
9
25
How much paint should the painter expect to use to paint a wall with an area of 256 square feet?
16 pints
32 pints
128 pints
225 pints
Answer:
16 pints
Step-by-step explanation:
it seems like there's a pattern. when you divide x by 16, you get the result of y.
64/16 = 4
144/16 = 9
400/16 = 25
so to find the answer would be x/16 = y.
sqrt ft is x, pints is y.
we're looking for how many pints of pain we should use for 256 sqrt ft. we use that same equation, but replace x with 256, and solve for y.
256/16 = 16
therefore, your answer is 16 pints.
please subscribe to #Gauthmath# subreddit if ya can ^^
Answer:
16 pints
Step-by-step explanation:
I did it on edge.
A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.
Answer:
A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.
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Letsanswers
Given m
n, find the value of x and y.
m
35°
x
yº
X=
y =
PLS HELP I’m kinda really confused
Answer:
x = 145°, y = 35°Step-by-step explanation:
Given,
m || n
So,
35° = y° [Alternate interior angles]
And,
y° + x° = 180° [Since linear pair]
=> x + 35 = 180
=> x = 180 - 35
=> x = 145°
Hence,
x = 145°, y = 35°
Answer:
x = 145
y = 35
Step-by-step explanation:
35 and y are alternate interior angles and alternate interior angles are equal when the lines are parallel
35 = y
x+y = 180 because x and y form a straight line
x+35 = 180
x = 180-35
x = 145
Find the value of x.
A. 5
B. 31
C. 7
D. 11
Answer:
5
Step-by-step explanation:
EB is the median so it is the average of the top and bottom lengths
(38 + 6x-6) /2 = 7x-4
Combine like terms
(32+6x)/2 = 7x-4
Multiply by 2
32+6x = 14x-8
Subtract 6x from each side
32+6x-6x = 14x-6x -8
32 = 8x-8
Add 8 to each side
32+8 = 8x-8
40 = 8x
Divide by 8
40/8 = 8x/8
5 =x
Determine the point of intersection of the lines x + y = 4 and 2x + 3y = 12
Answer:
(2,2)
Step-by-step explanation:
x=4-y
2 ( 4 - y )+ 3y= 12
2y = 12 -8
y= 2
substitute y in first eq. :
x=4 - 2
x= 2
Số nghiệm của pt | 2x-3| - | 3x+2|=0 là?
Answer:
2 solutions
Step-by-step explanat
ion:|2x-3|-|3x-2|=0
<=>|2x-3|=|3x-2|
<=>2x-3=3x-2
Or 2x-3=-3x+2
<=>2x-3x=-2+3
or 2x+3x=2+3
<=>x=-1
Or x=1
How many numbers of the set {1, 2, 3, 4, . . . , 297, 298, 299, 300} are multiples of 10 but not multiples of 15?
Answer:
I get 20
Step-by-step explanation:
While there probably is some logical way to go about this I just did it in excel
screenshot below
Answer:
20
Step-by-step explanation:
10
20
40
50
70
80
100
110
130
140
160
170
190
200
220
230
250
260
280
290
I need help right now this is urgent
Guys please help me with this problem
Answer:
11. 5%
Step-by-step explanation:
1 + percent increase = 1.115
Percent increase = 1.115 - 1 = 0.115 = 11.5 /100 = 11.5 %
Answer:
Step-by-step explanation:
In the exponential form of an equation, the growth or decay rate is found inside the parenthesis. The standard form of an exponential equation is
[tex]y=a(1+r)^x[/tex] if it's growth, or
[tex]y=a(1-r)^x[/tex] if it's decay.
Looking at those equations, logically a growth equation is greater than 1, while a decay equation is less than 1. Obviously, our function is a growth.
To determine the rate of growth, we look closely at (1.115) inside the parenthesis. BECAUSE that is greater than 1, we KNOW it is growth, therefore, it follows the (1 + r) pattern. Let's break up our (1.115) so it models that pattern:
(1.115) --> (1 + .115) and since these are percentages in their decimal form, it follows that 1 is 100% and .115 is 11.5%. Our growth rate is 11.5%
What are the first 5 terms?
Answer:
please can you specify which topic exactly is it on Arithmetric or Geometric Progression or on another topic
please kindly specify and send the question back
Thank you
Step-by-step explanation:
Answer:
5, 12, 19, 26, 33
Step-by-step explanation:
Using the recursive rule and a₁ = 5 , then
a₂ = a₁ + 7 = 5 + 7 = 12
a₃ = a₂ + 7 = 12 + 7 = 19
a₄ = a₃ + 7 = 19 + 7 = 26
a₅ = a₄ + 7 = 26 + 7 = 33
The first 5 terms are 5, 12, 19, 26, 33
Factorise [tex]2t^2+5t+2[/tex]
and pls explain why 2t(t+2) becomes (2t+1) when you get to it in your working out ty
Answer: [tex]\displaystyle\ \large \boldsymbol{ 2t^2+5t+2= {(2t+1) (t+2)}}[/tex]
Step-by-step explanation:
[tex]\displaystyle\ \large \boldsymbol{} 2t^2+5t+2=0 \\\\2t^2+\underbrace{4t+t}_{5t}+2=0 \\\\ (2t^2+4t)+(t+2)=0 \\\\ 2t(\underline{t+2})+(\underline{t+2})=0 \\\\ \boxed{(2t+1) (t+2)=0 }[/tex]
Graph the solution to the following system of inequalities.
y-2x-9
y<2x+7
Answer:
Tb bight by icing I jb Yves j by by by navy by iffy i by by by
Find the measure of each angle indicated.
A) 25°
C) 35°
B) 45°
D) 40°
Answer:
here's the answer to your question
Answer:
D) 40
Step-by-step explanation:
To solve the question you can use the knowledge that every triangle has a total of 180 degrees. Two of the angles are known one is 50 and the other is 90. We know one is 90 because of the square around the angle. Then, you can set up an algebraic equation to solve. We know that 50+90+x=180, so solve for x for the final answer of 40.
please help (picture) its due in an hour
Answer:
a) 6x-8
b) -18x^2-15
c) x^4+2x^3+7x^2
Ava volunteers at an animal shelter with 6 cats. She has 15 cat treats. She gives each cat the same number of treats, and she gives as many treats she can. how many treats does Ava give each cat? how many treats are left?
Ava gives each cat ____ treats. _____ treats are left.
Answer:
Ava gives each cat __2__ treats. __3___ treats are left.
Step-by-step explanation:
Answer:
2 treats n 3 are left
Step-by-step explanation:
√576+(95/5)-∛125 SOLVE IT PLS
Step-by-step explanation:
really ? there is nothing to solve. only to calculate.
you have no calculator ? even the included apps on every computer system can do that.
that is a waste of both of our time.
24 + 19 - 5 = ?
I am sure you can figure that out.
A number, y, is equal to the difference of a larger number and 3. The same number is one third of the sum of the larger
number and 9 Which equations represent the situation?
x+y 3 and - 3y -27
Oxxy-3
and-3--
Oy - 3
and-3--27
X-Y-3 and x-3y --9
Answer:
Set the larger number as x"A number, y, is equal to the difference of a larger number and 3."
[tex]y=x-3[/tex]
You can rearrange this equation to find the matching answer choice:
[tex]y-x=-3\\x-y=3[/tex]
"The same number is one third of the sum of the larger number and 9."
[tex]y=\frac{1}{3} (x+9)[/tex]
You can rearrange this equation to find the matching answer choice:
[tex]y=\frac{1}{3} x+3\\3y=x+9\\3y-x=9\\x-3y=-9[/tex]
Evaluate: 2-4 А. =100 В. -8 ОО С. -16 D. 1 16
Answer:
D. 1/16
Step-by-step explanation:
Evaluate: 2^-4
А. =100
В. -8ОО
С. -16
D. 1/16
Given
2^-4
= 1 / 2⁴
= 1 / (2 * 2 * 2 * 2)
= 1 / 16
Therefore,
2^-4 = 1/16
D. 1/16
2(2x+3)=3(3x+1)
Duýdhdhdjjdjdjđm
Answer:
12
Step-by-step explanation:
.......................
Answer:
x=1/2
Step-by-step explanation:
y=8200(0.96)^x growth or decay find
Answer:
This would be a .04 or 4% decay.....
for every "time unit" (x in this case) you will be multiplying
the amount by .96 ... in other words if you started with one dollar
the results would be 96 cents... after two "time" steps you would have
only 92 cents (.96 *.96)
Step-by-step explanation:
simplify 1+tan^2x÷1+tan^2x
Answer:
uihuii
Step-by-step explanation:
can you help me i got two wrong if I get one wrong I will have a falling grade
Answer:
the bottom left is wrong
Step-by-step explanation:
if u add 40+5+7/10+1/100 it'll only equal to 45.71
Answer:
40 + 5 + [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{100}[/tex] = 45.71
Step-by-step explanation:
The one needs to be in the thousandths place.
What are the leading coefficient and degree of the polynomial?
-12x5–8+23x+3x
Answer:
d = 5 l = 12
Step-by-step explanation:
degree = 5
leading coefficient = 12
