Simplifying the top:
(2* a^3 * b^5)^2 * (6ab)
4* a^6 *b^10 * (6ab)
24 *a^7 * b^11
so we have
(24 *a^7 * b^11) / (-3* a^5 *b)
immediately we can simplify 24 and -3
(-8 *a^7 * b^11) / ( a^5 *b)
a^7 and a^5 can cancel into just a^2
(-8 *a^2 * b^11) / (b)
b^11 and b cancels to b^10
-8 *a^2 * b^10
so that is your answer:
-8[tex]a^{2}[/tex][tex]b^{10}[/tex]
Translate the following mathematical sentence into an algebraic expressionſequation.
Five less than the product of seven and a number is forty-two.
Answer:
(7+x)-5=42
Step-by-step explanation:
Follow me for more answers If you like my way of solving
match with the appropiate property:
Answer:
distributive property of multiplication over addition
Step-by-step explanation:
hope this helps! :)
Answer:
Pemdas
Step-by-step explanation:
parenthesis
exponents
multiplication
division
addition
subtraction
find the area of each polygon created by the coordinates (4,4), (7, -1), (7,-4), (1,-4), (1, -1)
Area=____
Step-by-step explanation:
thats what I got hope this helped you out
12y=156
Solve for the Variable
Answer:
13
Step-by-step explanation:
12y = 156
y = 156 ÷ 12
y = 13
If Qr=58 and pq=13 find pr
Answer:
PR=71
Step-by-step explanation:
visualize:
P Q R
O-------------O-------------O
13 58
so if PQ + QR = PR, than 13+58=PR
13+58=71
PR=71
The value of the segment PR will be 71.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that the value of the segment Qr=58 and pq=13. The value of segment PR will be calculated as below:-
PR = QR + PQ
PR = 13 + 58
PR = 71
Therefore, the value of the segment PR will be 71.
To know more about a line segment follow
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I need help please someone help me !!!!!!
what is 5x-4x+8 Really need to earn 50 points
Answer:
x+8 i used mathaway i recommend it for math
[tex]5x - 4x + 8\\x + 8\\\\ahi queda creo \\pero si esque te confundiste y pusiste "-" en vez de poner "=" seria:\\5x = 4x + 8\\x = 8\\xd 7w7[/tex]
I need help it says what could I change in this polynomial to make them like terms.
[tex] {2x}^{2} + 5x - 6y + 2y - 7[/tex]
Answer:
2x² + 5x - 4y - 7
Step-by-step explanation:
combine the like terms -6y and 2y
2x² + 5x - 6y + 2y - 7
2x² + 5x - 4y - 7
Which problem is modeled?
0.8 – 0.5 = 0.3
0.08 – 0.03 = 0.05
0.8 – 0.3 = 0.5
0.08 – 0.05 = 0.03
Answer:
The answer is 0.8-0.3=0.5.
Hey hons. I will dub the brainliest. please help tho. Remember, the answer isn't zero. Reward: Brainliest! (:
Answer:
The answer is 10
Step-by-step explanation:
Answer:
Answer is 10!
Step-by-step explanation:
Carlos gives a cashier a $20 bill. He is buying an item for $3.44. How much money should Carlos get back?
Answer:
$16.56
Step-by-step explanation:
Answer:
Carlos should get back $16.56
b) The number when 75% of the number is 12
Answer:
16
Step-by-step explanation:
(75/100)*x=12
75x=12*100
75x=1200
x=1200/75
x=16
Answer:
16
Step-by-step explanation:
divide 75 by 100
multiply 12 by 100
which is 1200
divide 1200 by 75
and your answer is 16
A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells x x shirts can be found using the function f ( x ) = 8 x − 40. F(x)=8x−40. Find and interpret the given function values and determine an appropriate domain for the function.
Answer:
Domain = [0, ∞).
Step-by-step explanation:
he profit, in dollars, when the company sells x shirts can be found using the function
[tex]f(x)=8x-40[/tex]
For x=0,
[tex]f(0)=8(0)-40=-40[/tex]
It means, if company sells 0 shirts, then company makes loss (because of negative sign) of $40.
For x=5,
[tex]f(5)=8(5)-40=0[/tex]
It means, if company sells 5 shirts, then company makes profit of $0 means no loss no profit.
For x=10,
[tex]f(10)=8(10)-40=40[/tex]
It means, if company sells 10 shirts, then company makes profit of $40.
Domain is the set of input values.
We know that number of shirts can not be negative, therefore the value of x is always greater than or equal to 0.
Domain = [0, ∞).
Therefore, the domain for the function is [0, ∞).
How many rational numbers are between 1 and 6?
one ans six are infinite
-4x + 3y + 2x = what does this equal?
(-1)² + (-2) + (-3)² + (-4)²
Answer: GIVE MEEEE BRAINLIEST PLEASE
(−1)2−2+(−3)2+(−4)2
=24
Step-by-step explanation:
(−1)2−2+(−3)2+(−4)2
=24
Help please math what is the inverse of the function
I hope this helps you
13 If B is the midpoint of AC, and AC = 8x – 20,
find BC.
3x-1
А в
Answer:
BC = 26
Step-by-step explanation:
Given that:
B is the midpoint of AC
Then AC = AB + BC
AC = 8x - 20 and AB = 3x - 1
Then,
8x - 20 = (3x - 1) + BC
8x - 20 - (3x - 1) = BC
8x - 20 - 3x + 1 = BC
5x - 19 = BC
But AB = BC
5x - 19 = 3x - 1
5x - 3x = - 1 + 19
2x = 18
x = 9
Hence,
Since BC = AB = 3x - 1
3(9) - 1
27 - 1
= 26
HELP ME PLEASE!!! D:
at the grocery store, choco bars outsells cinnamon granola bars by a five-to-one ratio. if the store sold 246 bars, how many of them were cinnamon granola bars?
Answer:
205 : 41
or 41 cinnamon bars
The ratio of red marbles to blue marbles is 3:5. If there are 225 blue marbles total in the collection, how many of each color are there? Please show your work.
Answer:
Red balls = 84 Blue balls = 140
Step-by-step explanation:
Ok so there are 225 marbles
And ratio here is Red : Blue = 3 : 5
So Red marbles = 3x whereas Blue marbles = 5x
Therefore,
3x + 5x = 225
8x = 225
x = 28.125 = 28
Red balls = 28*3 = 84 Blue balls = 28*5 = 140
(Pls check whether total no of balls is 224)
Determine whether the graph is the graph of a function. (2 points)
Answer:
yes it is a function
Step-by-step explanation:
if you put three lines on the line of the line passes more than 1 it is not a function
5n+6+(−7n) what's is the answer
Answer:
The simplified answer is -2n+6
Step-by-step explanation:
All you have to do is simplify terms. -7n and 5n are terms you can combine, giving you -2n and +6 cant be simplified
-5(k + 6) + 7(k – 4)
Solve the equation by inserting the assigned value.
NH
(6a - 10) = 12 – (6 - 3a), when b=11
A = ?
Answer:
a = 5.333.. or 5 1/3
Step-by-step explanation:
I am not sure what your question is but it looks like you need to solve for a.
Based on that fact:
6a - 10 = 12 - 6 + 3a you multiply -1 by each term in the parenthesis
Then it is simple algebra
6a -10 = 6+ 3a
+10 + 10 add 10 to both sides
6a = 16 + 3a
-3a -3a add -3a to both sides
3a = 16 Divide both sides by 3
a = 5.3333
Can someone please help me out with this? Honestly have no idea how this table works
The circumference of a quarter is approximately 7.54 mm. What is its diameter to the nearest tenth of a millimeter? (π = 3.14)
Answer:
2.40mmStep-by-step explanation:
In this problem. we are required to solve for the diameter of a circle.
Given data
circumference of circle c= 7.54mm
we know that the expression for the circumference is given as
c= 2πr
We can substitute our given data to solve for r
7.54= 2*3.142*r
7.54=6.284*r
divide both sides by 6.284 we have
r= 7.54/6.284
r= 1.199
diameter = 2*r
diameter= 1.199*2
diameter= 2.399
to the nearest tenth
diameter= 2.40mm
please prove this...
Answer: see proof below
Step-by-step explanation:
Use the following Sum to Product Identities:
sin (A) - sin (B) = 2 cos (A+B)/2 · sin (A-B)/2
sin (A) + sin (B) = 2 sin (A+B)/2 · cos (A-B)/2
Given: sin Ф = k sin β --> (sin Ф)/(sin β) = k
Proof RHS → LHS
[tex]\text{RHS:}\qquad \qquad \qquad \dfrac{k-1}{k+1}\tan\dfrac{\theta+\beta}{2}[/tex]
[tex]\text{Given:}\qquad \qquad \dfrac{\frac{\sin \theta}{\sin \beta}-1}{\frac{\sin \theta}{\sin \beta}+1}}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]
[tex]\text{Simplify:}\qquad \qquad \dfrac{\frac{\sin \theta}{\sin \beta}-\frac{\sin \beta}{\sin \beta}}{\frac{\sin \theta}{\sin \beta}+\frac{\sin \beta}{\sin \beta}}}\cdot \tan\dfrac{\theta +\beta}{2}\\\\\\.\qquad \qquad \qquad = \dfrac{\sin \theta -\sin \beta}{\sin \theta +\sin \beta}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]
[tex]\text{Product to Sum:}\qquad \quad \dfrac{2\cos \frac{\theta+\beta}{2}\cdot \sin \frac{\theta-\beta}{2}}{2\sin \frac{\theta+\beta}{2}\cdot \cos \frac{\theta-\beta}{2}}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]
[tex]\text{Expand:}\qquad \qquad \dfrac{2\cos \frac{\theta+\beta}{2}\cdot \sin \frac{\theta-\beta}{2}}{2\sin \frac{\theta+\beta}{2}\cdot \cos \frac{\theta-\beta}{2}}\cdot \dfrac{\sin\frac{\theta +\beta}{2}}{\cos \frac{\theta +\beta}{2}}[/tex]
[tex]\text{Simplify:}\qquad \qquad \quad \quad \dfrac{\sin \frac{\theta +\beta}{2}}{\cos \frac{\theta+ \beta}{2}}\\\\\\.\qquad \qquad \qquad \quad =\tan\dfrac{\theta +\beta}{2}[/tex]
[tex]\text{LHS = RHS:}\quad \tan\dfrac{\theta +\beta}{2}=\tan\dfrac{\theta +\beta}{2}\quad \checkmark[/tex]
PLZ HELP!!!! A pair of equations is shown below: y = 6x − 4 y = 5x − 3 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)
Answer:
Step-by-step explanation:
y = 6x − 4
y = 5x − 3
A: chose a value for x(input) and get the out put (y) because the equation already in the slope intercept mode:y=mx+b
x y=6x-4 y=5x-3
1 y=2 y=2
2 y=8 y=7
0 -4 -3
slope :
y=6x-4 slope is 6 y intercept(0,-4)
y=5x-3 slope is 5 y intercept (0,-3)
solution of the pair of equation is the point of intersection :
6x-4=5x-3
6x-5x=-3+4
x=1 and y=6x-4 ⇒ y=6-4=2
(1,2)6x+5=23
Explain the steps used to solve
Answer:
x = 3
Step-by-step explanation:
Step 1:
6x + 5 = 23
Step 2:
6x = 18
Answer:
x = 3
Hope This Helps :)
HELP !!! Evaluate f(-2) for the function f(x) = 3x2 + 2x - 5
Answer:
3
Step-by-step explanation:
So we have the function:
[tex]f(x)=3x^2+2x-5[/tex]
To evaluate the value of f(-2), substitute -2 for x. Thus:
[tex]f(-2)=3(-2)^2+2(-2)-5[/tex]
Square first:
[tex]f(-2)=3(4)+2(-2)-5[/tex]
Multiply:
[tex]f(-2)=12-4-5[/tex]
Now, subtract:
[tex]f(-2)=8-5=3[/tex]
So:
[tex]f(-2)=3[/tex]
And we're done!