Answer:
it is [tex]5[/tex]
An expression is shown below.
6ab^2 + 9a^2b
Which of the following shows an equivalent expression?
Answer:
C. 3ab ( 2b + 3a )
Step-by-step explanation:
substitution
Hi! I'm happy to help!
To first solve this, Let's see if we can simplify our expressions using the order of operations: our original expression cannot be simplified. The first expression cannot be simplified. The second expression we can multiply the outside by the parenthesis by the inside, same with the third and fourth.
(make sure everything outside of the parenthesis is being multiplied by each part inside of the parenthesis)
9a²b²
9a²b²
3ab(3b+2a)
ab(9b+6a)
b(9ab+6a²)
9ab²+6a²b
3ab(2b+3a)
ab(6b+9a)
b(6ab+9a²)
6ab²+9a²b
3a²b²(2b+3a)
a²b²(6b+9a)
b²(6a²b+9a³)
6a²b³+9a³b²
Now that we have all expressions fully simplified, let's compare to see which one matches.
Our first expression is nowhere close to what our original expression is, 1 is incorrect.
Our second expression is close, but it has the 9 and the 6 flipped, even if we rearrange the expression like this, 6a²b+9ab², it still doesn't match, so 2 is also incorrect.
Our third expression has the correct numbers, variables, placement, and exponents, so 3 is correct.
Our fourth expression has incorrect exponents, the expression made every variable multiplied by ab an extra time, so 4 is incorrect.
In summary, you should pick number 3, because it is equivalent.
I hope this was helpful, keep learning! :D
plzzzz help (wrong answers will be deleted )...(100 points!!)
16x^4−24x^3+3 / 4x^2+3 fill in the boxes(spaces lol) = x^2 - x - + /
[tex]\boxed{\sf \dfrac{a^m}{a^n}=a^{m-n}}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{16x^4-24x^3+3}{4x^2+3}[/tex]
Take 4x^2+3 common out[tex]\\ \rm\Rrightarrow 4x^2+3\left(\dfrac{4x^2-24x+1}{1}\right)[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{4x^2-24x+1}{1}[/tex]
[tex]\\ \rm\Rrightarrow 4x^2-24x+1[/tex]
Answer:
4x² - 24x + 1
Step-by-step explanation:
[tex]\frac{16x^{4}-24x^{3}+3}{4x^{2}+3}[/tex]
~Factor out the denominator and apply quotient rule [ a^b / a^c = a^b-c ]
[tex]4x^{2}+3 (\frac{\frac{16}{4} x^{4-2}-24x^{3-2}+\frac{3}{3} }{1})[/tex]
[tex]\frac{4x^{2}-24x+1}{1}[/tex]
~Divide everything by 1
[tex]4x^{2} -24x+1[/tex]
Best of Luck!
Find the midpoint in geometry.
[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{3+3}{2},\dfrac{6-2}{2}\right)[/tex]
[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{6}{2},\dfrac{4}{2}\right)[/tex]
[tex]\\ \rm\longmapsto (x,y)=(3,2)[/tex]
Please help
I’ll give brain-lest
I promise
Answer:
x = 12
Step-by-step explanation:
27 + 3x - 1 = 5x + 2
27 + (3x - 3x) - 1 = (5x - 3x) + 2
27 - 1 = 2x + 2
26 = 2x + 2
(26 - 2) = 2x (+ 2 - 2)
24 = 2x
24/2 = 2x/2
12 = x
x = 12
5x-4[7+(2x-4)], for x=-3
Answer:
-3
Step-by-step explanation:
Plug in x = -3
5(-3) - 4[7+(2(-3)-4)]
We'll use order of operations (PEMDAS) from here on out.
Evaluate what is in the innermost parentheses first (2(-3) - 4: the parentheses inside of the brackets). We first multiply 2 * -3, then subtract -4.
2(-3) - 4 = -6 - 4 = -10
So the whole expression becomes
5(-3) - 4[7+ -10]
Now evaluate what is in brackets.
5(-3) - 4[-3]
Multiplication next, before addition.
-15 + 12
Finally, addition
-3
Name the pair of opposite rays with endpoint N.
Answer:
Possible Answers: NA and NX or NM and NC.Step-by-step explanation:
PLS MARK ME BRAINLEIEST AND FLW ME
Graph the line that passes through the points (-4, -6) and (-2, -7) and
determine the equation of the line.
143153363335
Answer:
y = -1/2x - 8
Step-by-step explanation:
Slope: ( -7 - - 6 )/(-2 - - 4) = (-7+6)/(-2+4) = -1/2
Point : (-4,-6)
y - - 6 = - 1/2(x - - 4)
y+6= - 1/2(x+4)
y+6= - 1/2x - 2
y = - 1/2x -2 -8
y = -1/2x - 8
finish 9 and 10 (giving lots of points!!!!)
Answer:
#9Rule for rotation 90 clockwise about the origin:
(x, y) → (y, -x)Apply to the given points:
S(1, -4) → S'(-4, -1)W(1, 0) → W'(0, -1)J(3, -4) → J'(-4, -3)#10Rule for rotation 180 about the origin:
(x, y) → (-x, -y)Apply to the given points:
V(-5, -3) → V'(5, 3)A(-3, 1) → A'(3, -1)G(0, -3) → G'(0, 3)which numbers are equivalent to 3 tenths ? Choose all that apply.
Can someone please help me I don’t get this (Due today)
Answer:
Which grade's book exercise is this?
write the 3 terms of ( 2a+ax)^5 given the first terms in the expansion (b +2x) (2+ ax)^5 are 96 - 176x+cx^2. find the values of a,b,c
Answer:
a^5x^5, 10a^5x^4, 40a^5x^3
Step-by-step explanation:
Use pascal's triangle for the first one
(2+x)^5 * a^5
= x^5a^5 + 5*2^1*x^4*a^5 + 10*2^2*x^3*a^5 ...
= a^5x^5 + 10a^5x^4+ 40a^5x^3 ...
When a new cellphone is put on the market, the demand each month can be described by the function C of t is equal to negative square root of the quantity t squared plus 4 times t minus 12 end quantity plus 3 where C (t) represents the demand of the cellphone (measured in millions of people) and the time, t, is measured in months. Which of the following solution(s) are valid for a positive demand?
A function is positive where it is above the x-axis
The valid solution for positive demand are; t = 3, and t = 2
The reason the above values are correct is as follows:
Known parameters:
The given function of the demand is; [tex]C(t) = \mathbf{ -\sqrt{t^2 + 4 \times t - 12} +3}[/tex]
Where;
C(t) = The demand of the cellphone (in millions of people)
t = The number of months
The condition positive demand is C(t) ≥ 0
Therefore;
[tex]-\sqrt{t^2 + 4 \times t - 12} +3 \geq 0[/tex]
[tex]-\sqrt{t^2 + 4 \times t - 12} \geq -3[/tex]
[tex]\sqrt{t^2 + 4 \times t - 12} \leq 3[/tex]
t² + 4·t - 12 ≤ 9
t² + 4·t - 12 - 9 ≤ 0
t² + 4·t - 21 ≤ 0
(t - 3) × (t + 7) ≤ 0
∴ t ≤ 3, or t ≥ -7
At t = 2 < 3, we have;
C(2) = -√(2² + 4×2 - 12) + 3 = 3
At t = 1 < 3, the function is; C(1) = -√(1² + 4×1 - 12) + 3 (Is undefined)
Therefore, the valid solution for positive demand are;
t = 3, and t = 2
Learn more about the functions here:
https://brainly.com/question/24249596
Answer:
3,3
Step-by-step explanation:
Determine the largest integer value of xx in the solution of the following inequality.[tex]2x-2\leq 11[/tex]
Answer:
6
Step-by-step explanation:
Add 2 to both sides, then divide both sides by 2.
[tex]2x \leq 13 \\x \leq 13/2[/tex]
x is less than or equal to 13/2, So the largest value is 13/2, or 6.5. Meaning the largest integer value is 6
-6, 20, 4.3, -59/-9
Order from least to greatest
Given the function g of x is equal to the quantity 2 x squared plus 3 x plus 5 end quantity over the quantity x plus 3 end quantity determine the equation for the slant asymptote.
y = –2x + 3
y = 2x + 3
y = 2x – 3
y = 2x + 9
Answer: 2x-3
Step-by-step explanation:
2x-3
---------------
X+3 /2x^2+3x+5
( - )2x^2+6x Multiply x • 2x^2
______. and subtract it from 2x^2
-3x+5. Multiply x • -3 and subtract it
(-)-3x-9 from -3x
______
14
Answer:
y=2x-3
Step-by-step explanation:
IXL PLEASE HELP
Ayana bought new equipment for her bowling alley, including a ball return machine. There is a 55% chance that the machine returns a bowling ball with the finger holes facing up.
If the machine returns 4 bowling balls, what is the probability that exactly 3 will have the finger holes facing up?
Write your answer as a decimal rounded to the nearest thousandth.
The answer would be .090
what is the solution to the compound inequality in interval notation
Answer:
First choice is the right answer (-∞, -9] or (2, ∞)
Step-by-step explanation:
I. Solve 1st problem 2(2x - 1) > 6
4x-2 > 6
4x > 6+2
x > 2
II. Solve 2nd problem x + 3 <= -6
x <= -6-3
x <= -9
III. Prove the answer
if x > 2 then x = 3
2( 2(3)-1 ) > 6
2(5) > 6
10 > 6 so the answer is true
if x <= -9 then x = -9
-9 + 3 <= -6
-6 <= -6 so the answer is true
Hope that help :D
what property is being used in 2a+5a=(2+5)a
Answer:
distributive property
Please help me if I don't get this done imma fail
Answer:
as mentioned
JT=3x+5--------> (1)
CT=69----------> (2)
CJ=4x+8-------> (3)
Now,
JT=CT-CJ
3x+5 = 69 - (4x+8)
3x+5=69-4x-8
3x+5=61-4x
taking variables to one side.
3x+4x = 61-5
7x = 56
x = 56/7
x=8
put value of x in (1)
JT=3(8) + 5
JT= 24+5
JT=29
Step-by-step explanation:
Answer:
Kayleigh Did u at least try Before u asked for help because u do know that u can always retake it multiple time I know because I have all 3 boxes filled in purple from just retaking it after I studied the answer.
Step-by-step explanation:
So first just try doing it and then retaking it.
A street map uses a scale of 1 cm: 200 m.
a) Simplify this ratio.
B) Find the actual distance, in kilometres, represented by each scaled distance.
i) 7 cm
ii) 9.5 cm
iii)12.4 cm
C) Find the scaled distance, in centimetres, used to represent each actual distance,
i) 18 km
ii) 1500 m
iii) 9.6 km
Answer:
B)
1400m
1900m
2480m
C)
90cm
7.5cm
4.8cm
Show 713.65 in expanded notation
Answer:
713.65 = (7 x 100) + (1 x 10) + (3 x 1) + (6/10) + (5/100)
Step-by-step explanation:
Find the distance between the points.
(9.7, -2.1), (-3.2, 8.1)
The radius of the earth is about 4,000 miles. A) what is the approximate diameter of the earth? b) what is the approximate distance around the earth at the equator?
A) diameter = radius x 2
Diameter = 4,000 miles x 2 = 8,000 miles
B) distance around the Earth is the circumference.
Circumference = pi x diameter
Circumference = 3.14 x 8,000 = 25,120 miles
Add.
-1 3/4 + (-3/5) + (-1/4)
Enter your answer as a simplified mixed number in the box.
Answer:
-2 3/5
Step-by-step explanation:
that is the answer yep
Express cos9x cos3x as a sum of two trigonometry function
Step-by-step explanation:
the answer is in the image above
>
→
PQ and RS are in the same plane and do not intersect. What geometric term describes PQ and RS?
perpendicular lines
complementary lines
skew lines
parallel lines
Answer:
Parallel lines
Step-by-step explanation:
at a certain certain point in time the sun of an alien world is directly overhead that
world's equator
Can someone help me on this?? Im really struggling
PLEASE HELP I NEED HELP!!!!!! 30 POINTS
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to figure B?
Answer:
1/3
Step-by-step explanation:
The left side of Figure A is 6 units long
The left side of Figure B is 2 units long
6 * what = 2
Divide each side by 6
what = 2/6
what = 1/3
The scale factor is 1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Figure A has a base of [tex]6[/tex] units.
Figure B has a base of [tex]2[/tex] units.
So, 6 * [tex]x[/tex] (the scaled factor) = 2 which simplified is [tex]6x=2[/tex].
Now, we divide 6 on both sides giving us [tex]x = \frac{2}{6}[/tex] which can be further simplified into [tex]\frac{1}{3}[/tex]
10-7X-5+12x=0
Explain
Answer:
x = -1
Step-by-step explanation:
[tex]10 - 7x - 5 + 12x = 0[/tex]
➡️ [tex]5 - 7x + 12x = 0[/tex]
➡️ [tex]5 + 5x = 0[/tex]
➡️ [tex]5 + 5x - 5 = 0 - 5[/tex]
➡️ [tex]5x = 0 - 5[/tex]
➡️ [tex]5x = - 5[/tex]
➡️ [tex]5x \div 5 = - 5 \div 5[/tex]
➡️ [tex]x = - 5 \div 5[/tex]
➡️ [tex]x = - 1[/tex]