What is the quotient of 15a4b3/12a2b ? Assume that the denominator does not equal zero.
Answers
Answer:
[tex]\frac{5a^2b^2}{4}[/tex]
Step-by-step explanation:
Related Questions
Will give brainliest!
We know that a + b + c = 7 and [tex]\frac{1}{a+b} + \frac{1}{b+c} +\frac{1}{a+c} =\frac{7}{10}[/tex]. What is the value of [tex]\frac{10a}{b+c} +\frac{10b}{a+c} +\frac{10c}{a+b}[/tex]?
Answers
Answer:
19
Step-by-step explanation:
Note that
[tex]\dfrac{10a}{b+c} + \dfrac{10b}{a+c} + \dfrac{10c}{a+b} = 10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right)[/tex]
and
[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b}=\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]
from [tex]a+b+c=7 \implies a=7-bc; b = 7-a-c; c = 7-a-b[/tex]
and
[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b} = 7\left(\dfrac{1}{a+b}+\dfrac{1}{b+c}+\dfrac{1}{a+c}\right)-3[/tex]
because it is not difficult to note that
[tex]$\sum \dfrac a{b+c}=\dfrac a{b+c}+\dfrac b{c+a}+\dfrac c{a+b}$[/tex]
Therefore,
[tex]7\left(\dfrac{7}{10}\right)-3 = \dfrac{49}{10}-3 =\boxed{ \dfrac{19}{10}} = \dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]
Finally,
[tex]10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right) = 10 \cdot \dfrac{19}{10} = 19[/tex]
2.
Fit a quadratic function to these three points:
(−2, 8), (0, −4), and (4, 68)
A. y = −2x2 − 2x − 4
B. y = 4x2 + 2x − 4
C. y = −4x2 − 2x − 4
D. y = −2x2 + 2x − 4
Answers
Answer:
It's C.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just put the x and y values into the equations and see which equation stays true.
for example, point (4, 68) rules out A and C even without detailed calculation, because these 2 expressions can produce for positive x only negative y (and 68 is clearly a positive y).
so, when using this point in B :
68 = 4×4² + 2×4 - 4 = 4×16 + 8 - 4 = 64 + 8 - 4 = 68
correct.
and it is correct also for the other points.
so, B is the right answer.
-6/5 - (-3/8)
Help please
Answers
Answer:
-0.825
Step-by-step explanation:
Did not know the options so do not know if this is right or not.
Here is ur answer.
- BRAINLIEST answerer
8x-2y=18 3x-y=5 What is the y value of the solution?
Answers
Answer:
y = 7
Step-by-step explanation:
8x - 2y = 18
3x - y = 5
the above system of equations can be solved by multiplying the second equation by -2 so the 'y-terms' get eliminated
you can then substitute the value of 'x' into the equation to find the value of 'y'
8x - 2y = 18
+ -6x + 2y = -10
2x = 8
x = 4
3(4) - y = 5
12 - y = 5
-y = -7
divide each side by -1 to get: y = 7
1. Two linear functions are shown below. Which function has the greater rate of change? Function A Function B 10 у y 4 32 8 8 6 44 12 4 56 2 16 68 Х 0 20 80 0 2 4 6
Answers
Answer:
I don't understand clear ur question
Evaluate the expression -2
Answers
Answer: 2x for x=3: 2(3) = 6.
Step-by-step explanation:
/////////////////////////
Answers
Answer:
E. 945Step-by-step explanation:
The shortest root is when you go to next level down at each move.
From the black triangle you can move to 3 triangles below. The level below has 5, then 7, then 9 triangles.
The number of shortest roots is:
3*5*7*9 = 945Correct choice is E
HELP!!!!! FAST!!!!! !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
37
Step-by-step explanation:
I don't know if this is totally correct
ATQ,
★⤿ 8(x+9) ≥ 224
★⤿ x+9 ≥ 224/8
★⤿ x +9 ≥ 28
★⤿ x ≥ 28-9
★⤿ x ≥ 19
Hence , option A is correct ✓
For each of the solutions of the equations find two consecutive integers between which the solution is located: x^2=3, x^2=5
Answers
The two consecutive integers between which the solution is located are 1 and 2
The two consecutive integers between which the solution is located are 2 and 3
Given the expressions x^2 = 3 and x^2 = 5
For the equation
x^2 = 3
Take the square root of both sides
x = ±√3
x = 1.732
Hence the two consecutive integers between which the solution is located are 1 and 2
For the expression
x^2 = 5
x = ±√5
x= 2.24
The two consecutive integers between which the solution is located are 2 and 3
learn more on roots here:https://brainly.com/question/12501796
Answer:
1. 1,2 2. 2,3
Step-by-step explanation:
what set of angles can form a line
Answers
Answer:
Did u mean triangle? There are no angles on a line.
Or do you mean two angles of 90 degrees?
Step-by-step explanation:
Write an equation of a line with an x-coefficient of - 3 and a y-intercept of 7
Answers
Answer:
y = -3x + 7
Step-by-step explanation:
For an equation in the format y = ax + b, a is the coefficient of x, and b is the y intercept.
How to do question 1 ?
Answers
Step-by-step explanation:
srry
Answer:
A
Step-by-step explanation:
I DID THE WORK IN MY HEAD
btw im 11
A car can go 420 miles on a tank of gas (15 gallons in a tank). How many kilometers can this car go on 6.5 gallons
Answers
Answer:
182 miles
Step-by-step explanation:
15 gallons ------------------------- 420 miles
1 gallons --------------------------- 420/15 miles
1 gallons --------------------------- 28 miles
6.5 gallons -------------------------- 6.5 × 28 miles
6.5 gallons -------------------------- 182 miles
The car can go 182 miles on 6.5 gallons.
It is given that the a car can go 420 miles on a tank of gas of 15 gallons in a tank.
It is required to find the how many kilometers can this car go on 6.5 gallons.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.
We have a car can go 420 miles on 15 gallons gas.
A car can go on 1 gallon = [tex]\frac{420}{15}[/tex] = 28 miles ie.
A car can go on 1 gallon = 28 miles
On 6.5 gallons car can go = 6.5×28
= 182 miles
Thus, the car can go 182 miles on 6.5 gallons.
Learn more about the fraction here:
brainly.com/question/1301963
Find the sum of 8080,8928 and 7005
Answers
Answer:
80,815,933
Step-by-step explanation:
A set of house plans is made in the ratio 30:1. if a room is 6m long,how long is this room on the plan
Answers
Answer:
0.2
Step-by-step explanation:
30: 1
6:?
cross multiply
(6*1)/30
ans:0.2cm
If
x
=
4
and
y
=
6
, evaluate the following expression:
2
(
x
+
y
)
Answers
[tex]x=4 , ~y = 6\\\\2(x+y) = 2(4+6) = 2(10) = 20[/tex]
25 points! Help (Vectors)
Answers
Answer:
[tex]7\cos(30^{\circ})[/tex]
Step-by-step explanation:
Solve |x – 4| + 6 = 17.
A. x = 15 and x = -7
B. x = 15 and x = -15
C. x =-15 and x = -7
D. x = -15 and x = 7
Answers
Answer:
A
Step-by-step explanation:
15 and -7
|x-4|=17-6
|x-4|=11
x-4=11
x-4=-11
x=11+4
x=15
x=-11+4
x=-7
The low temperature on a certain day is 56°F. The low temperature is 14°F lower than the high temperature, h. Which equation can be used to find the high temperature for that day? o 56 = h – 14 Oh + 56 = 14 O 56 = 14h 0 56 = h + 14 WHOEVER ANSWER GETS BRAINLESS NEED HELP
Answers
Answer: 1.09
Step-by-step explanation:
Which graph shows all natural numbers less than 3?
Answers
Answer:
graph A shows all natural numbers less than 3
Step-by-step explanation:
Answer:
The Answer Is B
Step-by-step explanation:
i need help on this math problem
Answers
Answer:
I can't see the problem I am blind but still very hard to see it's not quite clear
At a coffee shop, a latte costs $5.50 and
hot tea costs $1.75. Each day, Parker
buys 2 hot teas and several lattes for
his office staff. Which equation can be
used to find y, Parker's total cost, if x
represents the number of lattes? (7.1A,
7.1B, 7.1D, 7.1F)
A y = 5.50x + 3.50
BY 5.50x + 1.75
C y = 1.75x + 5.50
Dy = 3.50x + 5.50
Answers
Answer:
A) y = 5.50x + 3.50
Step-by-step explanation:
2 x 1.75 = 3.50 + x number of lattes $5.50 each.
Which is the algebraic expression for "two times the sum of a number and four'?
*Someone save me.*
Answers
Answer:
2(x+4)
Step-by-step explanation:
End is making some pancakes for himself and five friends. The ingredients he needs are shown in the list below.
Pancakes (serves 2)
2/3 milk
3/4 flour
3/2 sugar
1 Egg
a. How many cups of flour will Ed need?
b. How many teaspoons of sugar will Ed need?
Answers
Answer:
a. 2 1/4 cup of flour
b. 4 1/2 tsp. off sugar
Step-by-step explanation:
Since the recipe serves 2, the answer given will feed 5 (6) people.
Solve the system of linear equations using matrices.
2x+y+z=3
-x+y-6z=-24
x+6y+6z=-4
The solution is ____ (Type an exact answer in simplified form.)
Answers
Answer:
(x, y, z) = (2, -4, 3)
Step-by-step explanation:
It is convenient to let an appropriate calculator reduce the augmented matrix to reduced row-echelon form. The rightmost column in that form is the solution vector [x, y, z].
__
If you want to solve this by hand, you can perform the following row operations to reduce the augmented matrix as shown in the attachment.
r1 ← r2 +r3; r2 ← (r2 +r3)/7 . . . . use this matrix for the next row replacement
r3 ← (r3 -r1 -4·r2)/11 . . . . . . . . . . use this matrix for the next row replacement
r1 ← r1 -2·r2 +5·r3
__
r1, r2, r3 refer to rows 1, 2, 3, respectively. The indicated multiplication and division are scalar operations, operating on each individual term in the row.
_____
Additional comment
Most graphing calculators have matrix solving functions. Apps are available for phone and tablet that will do this, and there are online websites that will reduce an augmented matrix as well.
Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?
Answers
Answer: 50%
Step-by-step explanation:
If the neighbor has 2 children and one is a male out of 100% it would just be 100% divided by 2 i think im not sure but i hope this helps
Help help help help help help help help help
Answers
Answer:
A'(-2,3) B'(-1,1) C'(-4,0)
Step-by-step explanation:
Translating just means adding whatever numbers to each coordinate. Point A translated from (3,0) to (-2,3) because 3-5 is -2 and 0+3 is 3.
Mr. And mrs. Samson decide to go with design a and purchase the materials. Their total bill is 356.88. If they pay 220 in cash and charge the remainder, how much did they charge?
Answers
Answer:
136.88
Step-by-step explanation:
Subtract 356.88 - 220 = 136.88
Which equation could be represented by the number line?
Answers
[tex]Hiya![/tex]
Sokka is here to help!!
I believe it is D..
Hopefully, this helps you!
[tex]Sokka[/tex]
Answer:
I think it is C.
Step-by-step explanation:
It has a starting point. It also has an arrow that is going toward the negatives. It also has a gap of 9 units. So therefore, C is our answer.
Which of the following inequality’s matches the graph? A: x ≤ 5 B: x ≥ 5 C: y ≤ 5 D: y ≥ 5 what is the answer
Answers
Answer: Choice A
[tex]x \le 5[/tex]
========================================
Explanation:
Any point in the shaded purple region has an x coordinate that is 5 or smaller. So we go for [tex]x \le 5[/tex]. Either x = 5 or x < 5. The boundary line is solid to indicate that points on the boundary are included in the solution set.