Al simplificar la expresión-3 (a - b) + 5b - {2a + b + [a - 3b - (2b - a) + 5b] - a}, se obtiene: - (6a + 7b)
La simplificación de expresiones algebraicas requiere la eliminación de los corchetes por sus factores de multiplicación seguido de la combinación y agrupación de los términos semejantes en suma y resta.
De la información proporcionada:
= -3 (a - b) + 5b - {2a + b + [a - 3b - (2b -a) + 5b] - a}El primer paso es abrir los soportes de adentro hacia afuera.
i.e.
= -3a + 3b + 5b - {2a + b + [ a - 3b - 2b + a + 5b] - a}= - 3a + 3b + 5b - {2a + b + a - 3b - 2b + a + 5b - a}= - 3a + 3b + 5b -2a - b - a + 3b + 2b - a -5b + aAhora, el siguiente paso es la reorganización;
= - 3a - 2a - a - a + a + 3b + 5b - b + 3b + 2b - 5b= - 6a - 7b
Por factorización;
= - (6a + 7b)
Por tanto, podemos concluir que la simplificación de la expresión anterior es - (6a + 7b).
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please help i wasnt at school for like a month
Answer:
The slope of the line. otherwise known as the gradient, can be found in the equation as the number in front of the x term.
In this case, it is - 1/2 (or -0.5, however you want to answer it)
On the first day of football camp there were 106 participants. By the fifth day only 98 remained. Determine the rate of change.
I need help been stuck on this for 3 days
Please help quickly! Find the length of the third side. If necessary, write in simplest radical form.
Answer: [tex]\sqrt{11[/tex]
Step-by-step explanation: pythagorean theorem a^2 + b^2 =c^2
switch it to c^2 - b^2 = a^2
c=6 and b=5
(6)^2 - (5)^2 = 36-25 which is 11
11=c^2. to find c, square root 11. the simplest form for this is just [tex]\sqrt{11[/tex]
solve for k 2k-9[tex]\leq[/tex]-19
Answer:^3−28
Step-by-step explanation:
What is the image of (8,6)(8,6) after a dilation by a scale factor of \frac{1}{2}
2
1
centered at the origin?
The image of the point (8, 6) dilated by a scale factor 1/2 is (4, 3)
The given point is (8, 6)
The scale factor of dilation = 1/2
To dilate a given point (x, y) by a scale factor m, multiply each of the coordinates (x, y) by m
The image = (mx, my)
For the point (8, 6) dilated by 1/2, the image will be calculated as shown below:
[tex](\frac{1}{2}\times 8, \frac{1}{2} \times 6)\\= (4, 3)[/tex]
The image of the point (8, 6) dilated by a scale factor 1/2 is (4, 3)
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Find the measure of the marked angles.
The measure of the angles is
___ degrees
Answer:
43°
(4x + 19)° = (6x + 7)° [vertically opposite angles are equal]
4x+19 = 6x+7
4x + 19 -7 = 6x
4x +12 = 6x
12 = 6x - 4x
12 = 2x
2x = 12
x = 12/2
x = 6
Now replace the x with 6
(4x+19)°
= (4×6+19)°
= (24+19)°
= 43°
(6x+7)°
= (6×6+7)°
= (36+7)°
= 43°
The measure of the angles is 43 degrees
f(x) = -x + 5
g(x) = x2 – x +4
Find: (f•g)(x)
Answer:
[tex](fog)(x) = - {x}^{2} + x + 9[/tex]
Step-by-step explanation:
[tex](fog)(x) = f(g(x)) \\ = - ( {x}^{2} - x - 4) + 5 \\ = - {x}^{2} + x + 4 + 5 \\ = - {x}^{2} + x + 9[/tex]
I hope I helped you^_^
How are you supposed to graph #14?
Answer:
Y=mx+c
Step-by-step explanation:
The number in front of the x is the gradient. This shows how much the line goes up in the y axis for every square in the x axis. The number after the plus is the y intersect. This is where the line crosses the y axis. Start at the y intersect and draw the line. For this question, the gradient is 2, so the line goes up 2 squares on the y axis for every square on the x axis. The y intersect is 1, so it would cross the y axis at +1 on the y axis
3 A formula for 6 gallons of light green paint uses gallon of white paint. Liam has is gallon of white paint . 3 8 16 a. Does Liam have enough white paint to make 8 gallons of light green paint? If not, how much more does he need? Show your work SOLUTION
Answer:
Yet, the amount of white paint is sufficientStep-by-step explanation:
Use ratios to find the required amount:
6 gal → 3/8 gal8 gal → xx = 8*(3/8) : 6 = 3/6 = 1/2 gal9/16 is more than 1/2 so it should be enough
Answer:
White paint is Adequate.
Step-by-step explanation:
[tex]\sf\sf\longmapsto \: 6 \: gallons = \: \frac{3}{8} \: gallons[/tex]
[tex]\sf\longmapsto \: x = 8 \: gallons[/tex]
[tex]\sf\longmapsto \: x = \: 8 \times \frac{3}{8} : 6[/tex]
[tex]\sf\longmapsto \: \frac{3}{6} \: gallons[/tex]
[tex] \sf\longmapsto\frac{1}{2} \: gallons[/tex]
Therefore,It should be sufficient as 9/16 is more than 1/2
x ( 2y + 3 ) - 5xy + 7x
Answer:
Use the given functions to set up and simplify (2y+3)−5xy+7x
x =
(2y+3)−5xy+7x=−5xy+7x+2y+3
a recipe calls for 2 cups of flour and 4 cups of water. How much water is needed if the recipe is expanded and 10 cups of flour are used?
Answer:
4 cups of water
Step-by-step explanation:
all they asked was how many cups were used and they said four
what is 1+1-923422354x2x26757635
Answer: [tex]-4.9417197e+16[/tex]
Step-by-step explanation:
What is 12 1/2 - 2 5/8 ?
Answer:
4.75 or 19/4 or 4 3/4
Step-by-step explanation:
3 3/4 divided by 2 1/12 in simplest form
Answer: the final answer is 1 4/5 or 9/5
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
3 3/4 turns into 15/4 and 2 1/12 turns into 25/12
Second: then flip the 2nd fraction so it becomes 12/25
now multiply straight across: 15/4 x 12/25
15 x 12=180
4 x 25=100
180/100= 9/5= 1 1/4
Simplest form of quotient of given fractions is 9/5.
The given fractions are [tex]3\frac{3}{4}[/tex] and [tex]2\frac{1}{12}[/tex].
How to divide two fractions?Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
[tex]3\frac{3}{4}[/tex] can be written as [tex]\frac{15}{4}[/tex] and [tex]2\frac{1}{12}[/tex] can be written as [tex]\frac{25}{12}[/tex].
Keep 15/4 and change division sign to multiplication sign and reverse the fraction 25/12 as 12/25.
That is , [tex]\frac{15}{4} \div \frac{25}{12} = \frac{15}{4} \times \frac{12}{25}[/tex]
[tex]=\frac{3}{1} \times \frac{3}{5} =\frac{9}{5}[/tex]
So, quotient = 9/5
Therefore, simplest form of quotient of given fractions is 9/5.
To learn more about the fractions visit:
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PLEASE PLEASE PLEASE HELP ILL GIVE BRAINEST PLEAESE
Answer:
The last one
Step-by-step explanation:
There are two of the same x-values, meaning it is not a function.
Hopefully this helps!
Brainliest please?
write (n+4)(n+3)(n+2) as a permutation
Answer:
1267 456 578 123 679 333 5Step-by-step explanation:
yo
Joseph traveled from Boston to Framingham at 50 mph and then back to Boston at 40 mph. What was Joseph’s average speed on the round trip?
Answer:
50+40/2=70
Step-by-step explanation:
mark me as brainliest
A 4.0-kg cart moving due east at 9.0 m/s collides with a 3.0-kg cart moving due west. The carts stick together and come to rest after the collision. What was the initial speed of the 3.0-kg cart?
Since the carts stick together and come to rest after the collision, the initial speed of the 3.0-kg cart is 12 m/s.
Given the following data:
Mass of cart 1 = 4.0 kgVelocity of cart 1 = 9.0 m/sMass of cart 2 = 3.0 kgTo find the initial speed of the 3.0-kg cart, we would apply the law of conservation of momentum:
For a perfectly inelastic collision:
[tex]M_1V_1 - M_2V_2 = V_f(M_1 + M_2)[/tex]
When the carts stick together and come to rest after the collision, the final velocity is zero (0).
[tex]M_1V_1 - M_2V_2 = 0\\\\M_1V_1 = M_2V_2\\\\V_2 = \frac{M_1V_1}{M_2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]V_2 = \frac{4(9)}{3}\\\\V_2 = \frac{36}{3}[/tex]
Initial speed = 12 m/s
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The inequality _______________ represents the number of boxes of lightbulbs that Cecil started with.
Cecil had _____________ boxes of lightbulbs when he started.
Answer:
The inequality 14
Cecil had 14 boxes of lightbulbs when he started
I think not 100% sure
Step-by-step explanation:
Hope this helps :)
b) 8 x + 3 = 35
C)_times5=80/2
Answer:
b. 8×+3=35
Step-by-step explanation:
is the answer
Could someone please help answer this, please no spam, thank you will give brainliest, (homework help)!
Answer:
[tex]3b + 3 < - 18 \\ 3b + 3 - 3 < - 18 - 3 \\ 3b < - 21 \\ 3b \div 3 < - 21 \div 3 \\ b < - 7[/tex]
I hope I helped you^_^
Write an expression that represents the perimeter.
Simplify your perimeter expression as much as possible.
b.
X
a
X +5
X + 1
Ob
Ос
2x + 4
will give brainliest
Answer:
the answer isA
Step-by-step explanation:
3x+1+x²-6
=3x-5+x²
=x²+3x-5
Answer:
A
Step-by-step explanation:
Sebastian was driving down a road and after 4 hours he had traveled 98 miles. At this
speed, how many hours would it take Sebastian to thrive 245 miles?
Fill out the table of equivalent ratios until you have found the value of x.
Answer:
Let x = speed for the first 96 miles
x - 9 = speed for the last 100 miles
Distance = (rate)(time), so time = (distance)/(rate)
(time for first part of trip) + (time for last part of trip) = 4 hours
So, (96)/(x) + (100)/(x - 9) = 4
Multiply both sides by the LCD (x)(x - 9) to get
96(x - 9) + 100x = 4x(x - 9)
96x - 864 +100x = 4x2 - 36x
4x2 - 232x + 864 = 0
Divide both sides by 4 to obtain x2 - 58x +216 = 0
(x - 4)(x - 54) = 0
x = 4 or x = 54
Note that x can't equal 4 because, in that case, x - 9 would be negative, so x = 54 miles per hour.
Step-by-step explanation:
ok
Help me I need help on problem 6
Answer:
Mega-cleaner
Step-by-step explanation:
cleaner per quart. Per means to divide.
Solve for clean-all
[tex]1 \frac{1}{2} \div 2[/tex]
convert from a mixed number to an improper fraction. 2 x 1 + 1 = 3/2. make 2 a fraction 2/1
[tex] \frac{3}{2} \div \frac{2}{1} [/tex]
keep chang flip
[tex] \frac{3}{2} \times \frac{1}{2} [/tex]
multiply
[tex] \frac{3}{4} [/tex]
Mega -cleaner
[tex]3 \frac{1}{2} \div 4[/tex]
make an improper fraction and make 4 a fraction
[tex] \frac{7}{2} \div \frac{4}{1} [/tex]
keep change flip
[tex] \frac{7}{2} \times \frac{1}{4} [/tex]
multiply
[tex] \frac{7}{8} [/tex]
compare 3/4 and 7/8. find common denominators which is 8. change 3/4 to 8ths by multiplying by 2
[tex] \frac{3}{4} \times \frac{2}{2} = \frac{6}{8} [/tex]
7/8 is bigger than 6/8
Work out the median for each data set.
a.8,3,2,2,5,9
b.6, 10, 7, 15, 8, 17, 11,9
c.14 km, 7 km, 18 km, 12km, 16 km, 11 km, 13 km, 15km
d.16ml, 10ml, 10ml, 12ml, 18ml, 20ml
e. Reasoning What fraction of the values are less than the median
Answer:
do your self it is easy
Step-by-step explanation:
do your self it is easy
in wildlife park, there were 18 gray wolves. after three years, there were 27 gray wolves. what is the percent gain?
Answer:
50%
Step-by-step explanation:
The percent gain is calculated as
[tex]\frac{gain}{original}[/tex] × 100%
gain = 27 - 18 = 9 , then
percent gain = [tex]\frac{9}{18}[/tex] × 100% = [tex]\frac{1}{2}[/tex] × 100% = 50%
Evaluate |15 - 15|.
O 20
O 10
O -10
O -20
Answer:
The answer I was able to get was 0.
Simplify the expression.
options:
52
152
512
25
Answer:
The correct answer is 152