Answer:
[tex]\huge \boxed{49x^2 y^2 -126x^2 y +81x^2}[/tex]
Step-by-step explanation:
[tex]\sf (9x - 7xy)^2[/tex]
Expanding brackets.
[tex]\sf (9x - 7xy)(9x-7xy)[/tex]
Applying the FOIL method.
[tex]\sf 9x(9x-7xy)-7xy(9x-7xy)[/tex]
[tex]\sf 81x^2 -63x^2 y -63x^2 y+49x^2 y^2[/tex]
Combining like terms.
[tex]\sf 81x^2 -126x^2 y+49x^2 y^2[/tex]
Write the following exponents in expanded form a) 5² b) 6⁸ c) 9⁵
Answer:
a- 5 x 5
b- 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
c- 9 x 9 x 9 x 9 x 9
Step-by-step explanation:
the index represents how many times the number is to be multiplied.
5² = 5 x 5 = 25
6⁸ = 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 = 1679616
9⁵ = 9 x 9 x 9 x 9 x 9 = 59049
（＾▽＾）
What is 8c + 10b ÷ 7a if c = 10, b = 17, and a = 2. Please give a full and good explanation for a brainliest...
Answer:
The answer is 92.14
Step-by-step explanation:
Plugin the variables: 8c + 10b ÷ 7a=> 8(10)+10(17)/7(2)Multiply the variables: 8(10)+10(17)/7(2)=> 80+170/14Divide due to order of operations: 80+170/14=> 80+12.14Add: 80+12.14=>92.14Final answer: 92.14Maureen took a train from Chesterton to Riverside by way of Watertown and Salem. The train went 8 kilometers from Chesterton to Watertown. It was 2 kilometers from Watertown to Salem and 3 kilometers from Salem to Riverside. How many kilometers was Maureen's train ride?
Answer:
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Round to the nearest tenth:
7.0760
Answer:
the answer is 7.1
Step-by-step explanation:
the tenth is the first number after the decimal point.
Persephone is creating a flower garden in her back yard. If she needs 30 pounds of soil per square foot of the flower garden, how much soil will Persephone need to create her garden?
Answer:
152
Step-by-step explanation:
Multiply 19 and 8
20 POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY I JUST STRUGGLE!! 2 QUESTIONS!!
9. Which compound inequality represents the inequality 3|y + 7| − 16 > 5?
y + 7 < −7 OR y + 7 > 7
y + 7 > −7 AND y + 7 < 7
y + 7 < −7 AND y + 7 > 7
y + 7 > −7 OR y + 7 < 7
10. Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?
$344.00
$34.40
$24.67
$68.80
Answer:
9) y>0 or y<−14 10) Each artwork sold for $34.4
Step-by-step explanation:
#9 is fairly easy, just plug in a calc and pull out ans.
#10 so he needs to make $300 + $44 in total to recover everything as he wants $300 more in profit. set up the equation:
$300 (Profit) + $44 (Initial) = 10 ( # of paintings) x (how much to be sold for
The number 650,000 written in scientific notation would be _____. 6.5 × 10 -5 6.5 × 10 5 65 × 10 4 0.65 × 10 -6
Answer:
6.5 * 10 ^5
Step-by-step explanation:
650,000
Scientific notation is of the form
a * 10 ^b where a is between 1 and less than 10
Move the decimal 5 places to the left
6.50000
5 becomes the exponent b, since we moved it to the left, the exponent is positive
6.5 * 10 ^5
Answer:
the answer is:6.5times 10to the power of 5
where to put √3 and √9 on a number line?
[tex]\sqrt{3}\approx1.3[/tex]
[tex]\sqrt{9}=3[/tex].
Put first on about 1 and a third and second on exactly 3.
Hope this helps.
324 is the same as the sum of 144 and v
Answer:
v = 180
Step-by-step explanation:
324 = 144 + v
v = 324 - 144
v = 180
Answer:
v = 180
Step-by-step explanation:
The equation is basically 324 = 144 + v
Then you just solve the equation:
324 = 144 + v
-144 = -144
180 = v
Hope this is what you were looking for.
which two numbers does sqrt 128 lie between
Select the correct answer
Answer:
D. 5 weeks
Step-by-step explanation:
A population of pea aphids double every week beginning with 300 aphids.
Week 1: 300 × 2 = 600
Week 2: 600 × 2 = 1200
Week 3: 1200 × 2 = 2400
Week 4: 2400 × 2 = 4800
Week 5: 4800 × 2 = 9600
It will take 5 weeks
Distribute: -3(x+2)
-3x + 2
-3x + 6
-3x - 6
X-1
Answer:
it would be -3x-6
Step-by-step explanation:
if you distribute right you will change the two and the positive change into a negative and the last one x is not by itself plus it only change to one
What is the slope of the line that passes through (4, 5) and (8, -1)?
Answer:
m = -3/2
Step-by-step explanation:
The slope of a line is equivalent to the formula:
m = slope = rise/run = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given the two coordinate pairs, we can label them accordingly.
In math, coordinate pairs are set up in a way that the x-coordinate is given first and the y-coordinate is given second.
Therefore, with this information, we can label the coordinate pairs with this info.
[tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is the default labeling system for two coordinate pairs.
Then, we can use this information to label our coordinate pairs, place them into the slope formula, and solve for m.
[tex]m=\frac{-1-5}{8-4}\\\\m = \frac{-6}{4}\\\\\boxed{m=-\frac{3}{2}}[/tex]
Find the equation of a parabola with a focus at (-4, 7) and a directrix of y=1. ANSWERS ATTACHED, 15 points, due in 2 HOURS!
Answer:
Solution: y - 4 = 1 / 12(x + 4)² or Option B
Step-by-step explanation:
Since the directrix is vertical, use the equation of a parabola that opens up or down -
(x - h)² = 4p(y - k)
Remember that the vertex, (h, k) is halfway between the directrix and focus. Therefore we can find the y coordinate of the vertex using the formula y = y coordinate of focus + directrix / 2.The x -coordinate will be the same as the x coordinate of the focus.
Vertex: (- 4, 7 + 1 / 2) = (- 4,4)
Now we can find the distance from the focus to the vertex. The distance from the vertex to the directrix is represented by | p |. We can subtract the y coordinate of the vertex from the y -coordinate of the focus to find p.
p = 7 - 4 = 3
Substitute the known values for these variables into the given equation (x - h)² = 4p(y - k) to get our solution.
(x + 4)² = 4(3)(y - 4),
(x + 4)² = 12(y - 4)
1 / 12(x + 4)² = y - 4
y - 4 = 1 / 12(x + 4)² ~ As you can see your solution is option b.
Find X. Need help ASAP
Answer:
A
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle, then
the product of the external part and the whole of the secant is equal to the square of the tangent, that is
48(48 + x) = 60² = 3600 ( divide both sides by 48 )
48 + x = 75 ( subtract 48 from both sides )
x = 27 → A
dear friends answer is
x= 27
Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 mph, and the rest was along a highway, where his average speed was 60 mph. The drive took 8 hours. What distance, in miles did Minato drive along local roads?
Answer:
45 miles.
Step-by-step explanation:
Given that the:
Total distance covered = 390 miles
Total time = 8 hours
Let the distance covered along the local way = L
And the distance covered along the highway = H
Along with local way,
Speed = distance/ time
20 = L / T
T = L /20 .... (1)
Along the highway,
Distance covered H = 390 - L
Let the time = t
Speed = distance/time
60 = (390 - L)/t
t = ( 390 - L)/60
But total time = T + t
That is
8 = L/20 + (390 - L)/60
The LCM at right hand side will be 60
8 = ( 3L + 390 - L )/60
Cross multiply
480 = 2L + 390
Collect the like terms
2L = 480 - 390
2L = 90
L = 90/2
L = 45 miles.
Therefore, the distance Minato drive along local roads is 45 miles
hello, if you’re feeling generous today please lend a hand!! thank you
Answer:
[tex]x \leqslant 2[/tex]
Step-by-step explanation:
The point is shaded which means its is equal to and since the arrow goes to the left it is less than. Therefore x is less than or equal to 2
Charle has 10 guests over at his house. If he gives each guest bacon, he will have given
out a total of 30 pieces of bacon. How much bacon did each guest get?
This needs to be converted into and algebraic expression plz help its due soon
Answer:
Each guest got 3. (if he doesn't have any for himself).
Step-by-step explanation:
if each guest is x
30=10x
divide by 10
x=3
hope this helps and if you want please consider giving me brainliest! :)
84 divide by 7 show all work
Answer:
12
Step-by-step explanation:
84÷7=12
you can check by multiplying 12x7=84
12
×7
84.
Answer:all you do is divide 84 by 7 which is the answer you should get is 12
Express in simplest radical form.
Sqrt (27)
3√3
Step-by-step explanation:√27 =
= √3×9
= √3×3²
= 3√3
El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo de la oficina
El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo d ela oficina,
a. Cuánto tiempo le tomará a ambas realizar el trabajo?
Answer:
3.6 horas
Step-by-step explanation:
Sea el número total de horas que ambos trabajaron = T
Deje que la cantidad total de letras por las que pasaron = 1
De la pregunta, se nos dice:
Lourdes necesitó 6 horas para revisar las cartas.
Esto significa que, cada 1 hora, Lourdes revisaba 1/6 de las letras
Rosabel tardó 9 horas en leer las letras.
Esto significa que, cada 1 hora, Rosabel revisó 1/9 de las letras
Por lo tanto,
(1/6 × 1) T + (1/9 × 1) T = 1
(1/6 + 1/9) T = 1
(3 + 2/18) T = 1
(18/5) T = 1
5T / 18 = 1
Cruz multiplicar
5T = 18
T = 18/5
T = 3.6 horas
Por lo tanto, les tomó a ambas 3.6 horas hacer el trabajo.
There are 11 coins in total. Aditi!S piggy bank has $1.85. The coins are either quarters or dimes.How many of each coin are there. Solve with elimination.
Hey there! I'm happy to help!
Let's represent our number of quarters with q and our dimes with d. We know that each q has a value of 0.25, and each d has a value of 0.1. This means that 0.25q+0.1d=1.85. We also know that q+d=11 as there are 11 total coins.
Here is our system of equations.
0.25q+0.1d=1.85
q+d=11
We are asked to solve with elimination. To do this, we need combine the equations to cancel out a variable to solve for the other. We have 1d on the bottom. Let's multiply the entire top equation by -10 to get a -1d on the top so we can do this.
-2.5q-d=-18.5
q+d=11
We combine the equations.
-1.5q=-7.5
We divide both sides by -1.5
q=5
Since there are 11 coins in total, this means that there are 5 quarters and 6 dimes.
Have a wonderful day!
Mia climbs 2/5 of the height of the rock wall. Lee climbs 3/8 of Mia's distance. What fraction of the wall did Lee climb?
Answer:
you got this
Step-by-step explanation: be a smart person like you are
adam bought a box of fruit that weighed 6 1/4 pounds. if he bought a second box that weighed 8 1/8 pounds , what is the combined weight of the boxes?
Answer:
14 3/8 pounds
Step-by-step explanation:
6 pounds plus 8 pounds= 14 pounds. 1/4 + 1/8= 3/8. 1/4 can be turned into 2/8, and 2/8 plus 1/8 equals 3/8. Hope this helps :)
Solve for x
3 (x- 4) = 44 - 5x
A: 4
B: 5
C: 6
D: 7
8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the common difference is -2 .
Answer:
a₁ = 38
Step-by-step explanation:
Given AP, where:
8a₈ = 12a₁₂d = -2,a₁ = ?=============
Solutionaₙ = a₁ + (n-1)d
a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 228a₈ = 12a₁₂
8(a₁ - 14) = 12(a₁ - 22)2(a₁ - 14) = 3(a₁ - 22)2a₁ - 28 = 3a₁ - 663a₁ - 2a₁ = -28 + 66a₁ = 38-14 = x - 12 PLS help ASAP and show checked solution
Answer:
The correct answer is x = -2.
Step-by-step explanation:
To solve this equation, we must remember that it is our end goal to get the variable x alone on one side of the equation.
To do this, our first step should be to add 12 to both sides of the equation to cancel the -12 on the right side. This is modeled below:
-14 + 12 = x - 12 + 12
If we add together the like terms to simplify, we get:
-2 =x
This is our answer. To check that our answer is correct, we can plug in the value we obtained for x back into the original equation.
-14 = x - 12
-14 = -2 - 12
-14 = -14
Since plugging in our value for x yielded a true statement, we can conclude that our answer is correct.
Hope this helps!
6|2x+3|=36 need a mini step by step
Answer:
x=1.5
Step-by-step explanation:
We are trying to get x by itself to see what it equals.
6(2x+3)=36
So first you want to distribute you proprieties. You do that by multiplying 6 and 2x. Then multiplying 6 and 3.
12x+18=36
Now in equations where you need to find the variable, whatever you do on one side of the equal sign, you have to do on the other side. So now we want to subtract 18 from both sides.
12x+18=36
-18 -18
Then we divide 12 from both sides.
12x=18
÷12 ÷12
Now you have your answer!
x=1.5
(7x+5)/(6) write the fraction as a sum or difference
Answer: Factor the numerator and denominator and cancel the common factors.
7x/6+5/6
Step-by-step explanation:
Evaluate 4
M-n if m= -7 and n = 2.
Answer:
-30
Step-by-step explanation:
I'm assuming the equation is [tex]4m-n[/tex]. If it is not please tell me.
If we know the values of m and n, we can just substitute inside the expression.
[tex]4(-7) - 2\\\\-28 - 2\\\\-30[/tex]
Hope this helped!