Answers
Answer:
5. [tex]6x^2 - x - 2[/tex]
6. [tex]9x^2 - 15x + 6\frac{1}{4}[/tex]
Step-by-step explanation:
5:
[tex](x+ \frac{1}{2}) (6x-4)[/tex] [tex](x)(6x) + (x)(-4) + (\frac{1}{2})(6x)+(\frac{1}{2})(-4)[/tex] [tex]6x^2 - 4x + 3x - 2[/tex] [tex]6x^2 - x - 2[/tex]6:
[tex](3x-\frac{5}{2})^2[/tex] [tex](3x - \frac{5}{2})(3x - \frac{5}{2})[/tex] [tex](3x)(3x) + (3x)(\frac{-5}{2}) + (\frac{-5}{2})(3x) + (\frac{-5}{2})(\frac{-5}{2})[/tex] [tex]9x^2 - \frac{15}{2}x - \frac{15}{2}x + \frac{25}{4}[/tex] [tex]9x^2 - 15x + \frac{25}{4}[/tex] [tex]9x^2 - 15x + 6\frac{1}{4}[/tex]Related Questions
Simplify (4a^m+3)^3*(1/16a^1-m)^2
Answers
The simplified answer is 27m^2
The simplification of the given expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.
To simplify the expression, let's start by expanding each term and then combining like terms:
Expand the first term (4[tex]a^m[/tex] + 3)³
(4[tex]a^m[/tex] + 3)³ = (4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex] + 3)
Using the binomial expansion formula for (a + b)³
(a + b)³ = a³ + 3a²b + 3ab² + b³
So, for (4[tex]a^m[/tex] + 3)³
(4[tex]a^m[/tex] + 3)³ = 4³ × ([tex]a^m[/tex] )³ + 3 ×4² [tex]a^m[/tex] ([tex]a^m[/tex] )²× 3 + 3 × 4× ([tex]a^m[/tex] ) × 3² + 3³
= 64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex] + 108[tex]a^m[/tex] + 27
Expand the second term (1/16[tex]a^{(1-m)[/tex])²
(1/16[tex]a^{(1-m)[/tex])² = (1/16[tex]a^{(1-m)[/tex]) (1/16[tex]a^{(1-m)[/tex])
Simplify the square of a fraction by squaring the numerator and denominator separately:
(1/16[tex]a^{(1-m)[/tex])² = (1²)/(16²) × ([tex]a^{(1-m)[/tex])²
= 1/(256) × [tex]a^{(2(1-m))[/tex]
=[tex]a^{(2-2m)[/tex]/256
Now, let's multiply both simplified terms:
(4[tex]a^m[/tex] + 3)³ ×(1/16[tex]a^{(1-m)[/tex])²
= (64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex]+ 108[tex]a^m[/tex]+ 27) ([tex]a^{(2-2m)[/tex]/256)
Now, combine the terms with similar exponents:
= (64[tex]a^{(3m)[/tex] [tex]a^{(2-2m)[/tex] + 144[tex]a^{(2m)[/tex] [tex]a^{(2-2m)[/tex]+ 108[tex]a^m[/tex] [tex]a^{(2-2m)[/tex] + 27 × [tex]a^{(2-2m)[/tex])/256
Using the property [tex]a^m \times a^n = a^{(m+n):[/tex]
= (64[tex]a^{(3m + 2 - 2m)[/tex]+ 144[tex]a^{(2m + 2 - 2m)[/tex] + 108[tex]a^{(m + 2 - 2m)[/tex]+ 27[tex]a^{(2-2m)[/tex])/256
Simplify the exponents,
= (64a² + 144a² + 108a² + 27[tex]a^{(2-2m)[/tex])/256
Now, combine the like terms:
= (336a² + 27[tex]a^{(2-2m)[/tex])/256
Therefore, the simplified expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.
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wright this without exponents
-2u^5*6u^3
Answers
Answer:
-12u^8
Step-by-step explanation:
which of the following is (-5x + 4)-(3x^2-7x+4) simplified and written in standard form?
Answers
Answer:
jhgsdfgtyhujwert
Step-by-step explanation:
how is 0.6 is greater than the value of 0.39
Answers
Help with right Awnser
Answers
Answer:
Solution given:
base[b]=8m
perpendicular [p]=3m
we have
area of triangle=[tex] \frac{p \times b}{2} [/tex]
=[tex] \frac{3 \times 8}{2} [/tex]=12m²
is your answer
Answer:
12m2
Step-by-step explanation:
PLEASE HELP FAST
Part A: Find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25 + c
Answers
Answer:
c=81
Step-by-step explanation:
Take half of b: 18/2=9
Square the result: 9²=81
This is your value of c that will result in a perfect square trinomial, which is c=81. If you were to keep going, you would do the following:
x²+18x+81=25+81
x²+18x+81=106
(x+9)^2=106 <-- Final simplification
(x+9
Answer:
c=81
Step-by-step explanation:
pls give me banliest
find the missing side 3 and 4.
Answers
Answer:
3. [tex]5\sqrt{3} \\[/tex] m
4. 5 m
Step-by-step explanation:
Just use Pythagorean theorem
rewrite the function f(x)=2(x-2)^2-5 and in the form ax^2+bx+c
Answers
Answer:
Step-by-step explanation:
f(x)=2(x-2)²-5
f(x)=2(x²-4x+4)-5
f(x)=2x²-8x+3
At a hockey game a vendor sold a combined total of 102 sodas and hot dogs the number of hot dogs sold are 50 less than the number of sodas sold find the number of sodas sold and the number of hot dogs sold
Answers
Answer:
26 hotdogs
76 sodas
Step-by-step explanation:
x - 50 for hot dogs
x for sodas
(x-50) + x = 102
2x -50 = 102
2x = 152
x = 76
76-50 = 26 hotdogs
76 sodas
find the solution please
Answers
1/Secx-tanx -1/secs+tanx
Need help really bad
It’s the second one
Answers
Answer:
Explanation down
Step-by-step explanation:
Last week at a gym, 120 people participated in a biking class. The number of people who ran on a treadmill
was 150% of the number of people who participated in a biking class. How many people ran
a treadmill at
the gym last week?
people ran on a treadmill at the gym last week.
Show work ~ Aniya v
Answers
Answer:
180
Step-by-step explanation:
This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.
There are two ways to solve
1. [tex]\frac{150*120}{100}[/tex]
2. [tex]120+\frac{120\\}{2}[/tex]
To do the first one:
1. Multiply the values in the numerator
18000/100
2. Divide
180
To do the second one:
1. Divide the fraction
120 + 60
2. Add
180
Guys pls help me!!!!
Answers
Answer: D
Step-by-step explanation:
There is no points I plotted them on a graph and they don't intercept on the graph
Factor.
11x2+35x+6
Enter your answer in the box.
Answers
Answer:
[tex]\displaystyle [x + 3][11x + 2][/tex]
Step-by-step explanation:
[tex]\displaystyle 11x^2 + 35x + 6 \\ [11x^2 + 2x] + [33x + 6] \\ x[11x + 2]\:\:\:\:\:3[11x + 2] \\ \\ \boxed{[x + 3][11x + 2]}[/tex]
I am joyous to assist you at any time.
Answer: i took the test
Step-by-step explanation:
i need help on a equation −4a5⋅6a5
Answers
There are _ total possible outcomes.
Answers
Answer:
20 possible outcomes
Step-by-step explanation:
Please help links=report and if correct I’ll mark you brainiest
Answers
Answer:
A is the correct answer.
Hope this helps [tex]\mathtt{: )}[/tex]
if y=27 when x= 8 find y when x =11
Answers
Answer:
37 1/8
Step-by-step explanation:
The problem probably assumes direct variation
y=kx
IF so, then plug in the values and solve for k
27=k(8)
k = 27/8
y= (27/8)x. Now let x = 11
y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8
y = 37 1/8
the problem is making some assumption about the relation between x and y. The simplest assumption that's likely is direct variation, that x and y are linearly related. The graph is a straight line through the origin with slope = 27/8
Find the volume of the
rectangular prism.
2 cm
8 cm
5 cm
V = [?] cm3
Answers
The volume of a rectangular prism is 80 cm³.
The dimensions of a rectangular prism are length=8 cm, breadth=5 cm and height=2 cm.
What is the formula to find the volume of a rectangular prism?The formula to find the volume of a rectangular prism is l×b×h.
Now, the volume of a rectangular prism=8×5×2=80 cm³.
Therefore, the volume of a rectangular prism is 80 cm³.
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The length of a rectangle is 6 cm longer than its width.
The area of the rectangle is 135 cm².
What is the width of the rectangle?
Enter your answer in the box.
Answers
Answer:
bro answer is 9
Step-by-step explanation:
i took test
Do these three sides make a triangle? Is it unique? 12 ft, 24 ft, and 30ft
A.Yes, it is a triangle and it is unique.
B.Yes, it is a triangle, but it is not unique.
C. No, it does not make a triangle.
Answers
Answer:
A. Yes, it is a triangle and it is unique
Step-by-step explanation:
Those side measurements make a scalene triangle.Triangles with no two equal sides or congruent angles are called scalene triangles. In scalene triangles, each angle and side is completely unique.
What is SRV? plssssssssssssssssssss help
Answers
The Measurement of SRV is 120°
Factoring tinomials
3) 3n^2-8n+4
5) 2y^2+11v+5
7) 7a^2+53a+28
Do all please
Answers
5) (x+5)(2x+1)
7) (x+7)(7x+4)
Tell whether the line or segment is the best described as a chord,a diameterdiameter,or a raduis of a circle
Answers
Answer:
37
Step-by-step explanation:
John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?
Answers
Answer:
20oz
Step-by-step explanation:
60%=12oz
this can be simplified into 1%
in order to find 1% divide by 60
60%/60=1%
in order to find out how much 1% is, divide 12oz by the number used to divide the percent
12/60=0.2
so 0.2=1% and we want to know 100% so multiply by 100
0.2x100=20
1%x100=100%
so 20oz=100% of the bottle
explain why conductivity is a good measure of the salinity of water?
Answers
Answer:
Salinity and conductivity measure the water's ability to conduct electricity, which provides a measure of what is dissolved in water. In the SWMP data, a higher conductivity value indicates that there are more chemicals dissolved in the water.
Step-by-step explanation:
Diego wants to sell his bicycle. It cost $150 when he bought it but has depreciated by 15%. How much should he sell it for?
Answers
Answer:
$127.50
Step-by-step explanation:
15/100 = 0.15
0.15 x 150 = 22.5
150 - 22.5 = 127.5
How many words does Rachel type per minute
Answers
there is no problemStep-by-step explanation:
Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers (G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.
What is the size of the population of dogs that could have run away from Jenny?
1
5
11
13
Answers
Answer:
5
Step-by-step explanation:
17 dogs total all counted up.
17- 5 = 12
5 could have ran away
hope i could help! i tried my best, have a nice day!
Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M. Explain how you know that the tour was more than 30 minutes.
Answers
Answer: See explanation
Step-by-step explanation:
Since Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M, the time taken during the tour will be:
= 2.45 pm - 2.05pm
= 40 minutes.
Since Tim's family toured the Astronaut Hall of Fame for 40 minutes, this shows that they spent more than 30 minutes during the tour.