write the rational expressions as equivalent rational expressions with the lowest common denominator
Answers
1. The equivalent rational expression with the lowest common denominator of [tex]\frac{2}{3d^{2} + 14d^{2} - 5 }[/tex] is [tex]\frac{2}{(d+5)(3d-1)}[/tex]
2. The equivalent rational expression with the lowest common denominator of [tex]\frac{3d}{3d^{2} - 22d + 7}[/tex] is [tex]\frac{3d}{(d-7)(3d-1)}[/tex]
1.
[tex]\frac{2}{3d^{2} + 14d^{2} - 5 }[/tex]
Let factorise the denominator below
3d² + 14d - 5
-15 and 14
Two numbers we can multiply to get -15 and add to get 14 are 15 and -1.
Therefore,
3d²- d + 15d - 5
d(3d - 1) + 5(3d - 1)
(d+5)(3d-1)
Therefore, the equivalent rational expression with the lowest common denominator will be
[tex]\frac{2}{(d+5)(3d-1)}[/tex]
2.
[tex]\frac{3d}{3d^{2} - 22d + 7}[/tex]
Factorise the denominator
3d²- 22d+7
3d²- d - 21d + 7
d(3d - 1) - 7(3d - 1)
(d - 7)(3d - 1)
Therefore, the equivalent rational expression with the lowest common denominator will be
[tex]\frac{3d}{(d-7)(3d-1)}[/tex]
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Related Questions
You buy tomatoes sauce for 0.37per ounce. One portion of potatoes gnocchi requires 3.5 ounces of tomatoe sauce. How much does the sauce for one portion cost
Answers
Answer:
it would cost $0.74 = 74 cents
Step-by-step explanation:
The cost of one ounce of tomato = $0.37
1 portion of potato gnocchi requires 2 ounces of tomato sauce.
To find the cost of one portion of the potato gnocchi, we have to simply find the cost of 2 ounces of tomato sauce.
That is:
Cost = 2 * 0.37 = $0.74
Hence, one portion of potato gnocchi costs $0.74
Since $1 = 100 cents, the cost in cents will be:
0.74 * 100 = 74 cents
pls help me with hw
plsss ill mark brainliest
Answers
Answer:
1.t=8
2.x^8
3.m7/5
4.y2/3
Step-by-step explanation:
NO LINKS!!! Hyperbola: y = 1/x
Shape:
Domain:
Range:
Locater point:
Asymptotes:
Answers
Hyperbola: y = 1/x
--------------------------------
Shape: open curve with two branches
Domain: Any non-zero real number x < 0, x > 0 or x∈ (-∞, 0) ∪ (0, +∞)
Range: Any non-zero real number y < 0, y > 0 or y∈ (-∞, 0) ∪ (0, +∞)
Locater point: Imaginary point of intersection of asymptotes (0, 0)
Asymptotes: x = 0 and y = 0
For every five candy bars David sells, he earns $1. How many candy bars he sell to earn $15 please help
Answers
Answer:
75
Step-by-step explanation:
5 candy bars =1 dollar what about 15 dollars
Answer:
75 candy bars
Step-by-step explanation:
because 15 x 5 = 75. we got 15 because that's the total amount of money he got and we got 5 because every 5 candy bars.
The perimeter of a rectangular garden is 332 m.
If the length of the garden is 93 m, what is its width?
Answers
Answer:
73
Step-by-step explanation:
332÷2= 166
166 - 93 = 73
troy is going to spain and needs to convert his dollars to Euros. He knows that when he goes, $5.00 is equivalent to about 3.45 Euros.
29. Find the unit rate of Euros per dollar
30. how many Euros will he get for $125?
Answers
Step-by-step explanation:
answer for number 2 is 85 euros
.68 euros per usd
What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
Answers
Answer:
118°
Step-by-step explanation:
When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.
Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.
Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.
(5x + 17) + (15x - 17) = 180
5x + 15x + 17 - 17 = 180
20x = 180
20x/20 = 180/20
x = 9°
Nkw let's substitute x = 9 into the equations
5x + 17 =
5(9) + 17 =
= 62°
15x - 17 =
15(9) - 17 =
= 118°
Both equations should add up to be 180°.
Therefore the measure of the largest angle is 118°.
which of the following is not a perfect tube 1, 9, 8,27
Answers
Answer:
9
Step-by-step explanation:
9 is not a cube number; it is 3 squared. 3³ is 27, 1³ is 1 and 2³ is 8.
9 is not a perfect cube because ∛9 is not a whole number.
Hope this helps!
help me please ^^;
hhhhhhhh
Answers
Answer:
Step-by-step explanation:
whwwyw
please answer the question above
it's (Septagon)
Answers
Answer:
128.57
Step-by-step explanation:
each angle is equal and all of them will sum 900 degrees
Answer:
128.6... degrees
Step-by-step explanation:
Because regular shapes have all equal angles, we can do this:
900/7
regular septagons/heptagons have 7 sides
900/7 = 128.571429 or about 128.6
Evaluate.
plz help
12⋅(14+13)2+23
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
52
Step-by-step explanation:
14+13= 27+2=29+23=52
The value of the numerical expression 12 ⋅ (14 + 13)² + 23 will be 8771.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ 12 ⋅ (14 + 13)² + 23
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.
⇒ 12 ⋅ (14 + 13)² + 23
⇒ 12 ⋅ (27)² + 23
⇒ 12 ⋅ 729 + 23
⇒ 8748 + 23
⇒ 8771
The value of the numerical expression 12 ⋅ (14 + 13)² + 23 will be 8771.
More about the value of the expression link is given below.
brainly.com/question/23671908
#SPJ5
Connor was traveling in Mexico and is returning to his home in the United States.
He has 2,567 pesos left. The current exchange rate is 1 U.S. dollar is equal to 19.43
pesos. How many U.S. dollars will he have if he converts his leftover pesos to
dollars?
$2,567
$102.68
$132.12
$3,414
Answers
Answer:
$132.12
Step-by-step explanation:
19.43 pesos = $1
2567 pesos = ?
1. First divide 2567 by 19.43 to find the exact number of dollars:
2567 ÷ 19.43 = 132.1152856
2. Round this value to 2 decimal places:
132.1152856 ≈ $132.12
Step-by-step explanation:
19.43 pesos = 1 U.S. dollar
So 1 peso = [tex]\frac{1}{19.43}[/tex] U.S. dollar
2567 pesos = [tex](\frac{1}{19.43} )(2567)[/tex] U.S. dollar
= 132.115286 U.S. dollar
please give me a brainliest answer
Plz help I need help
Answers
Answer:
x = 6
Step-by-step explanation:
This can be written as a ratio
7 : 2
21 : x
If you times one side by 3, you have to multiply the other side by three too:
2 × 3 = 6
∴ x = 6 when y = 21
[tex]1 - \frac{1}{5} \times 2 + 0.5[/tex]
tolong jawab kalau bisa sama penjelasan nya
Answers
Answer:
here is my solution for that problem. i hope it will work.
[tex] = \frac{11}{10} \\ \\ \\ in \: \: alternate \: form \\ \\ 1 \frac{1}{10 \: \: \: } \: \:,1.1[/tex]
hope it helpsThe increasing on the intervals
The decreasing on the intervals
Answers
Which is an equation of the line through the origin and (3,4)? Please help
A. y = 4/3x
B. y = 3/4x
C. y = 4x
D. y = 3x
Answers
4. Allen is showing his work in simplifying -8.3 + 9.2 - 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work. (5 points) Step Work Reasoning −8.3 + 9.2 − 4.4 + 3.7 Original problem 1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse 2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property 3 −8.3 + (4.4 + 9.2 + 3.7) Associative property 4 −8.3 + 17.3 Simplify 5 9 Simplify
Answers
Answer:
-8.3 + 9.2 - 4.4 + 3.7
= -8.3 + 9.2 + (-4.4) + 3.7 {Additive inverse}
= -8.3 + (-4.4) + 9.2 + 3.7 {Commutative Property}
= [ -8.3 + (-4.4] + [ 9.2 + 3.7] {Associative property}
= - 12.7 + 12.9
= 0.2
Step-by-step explanation:
a number is ____ by another number if the quotient is a counting number and the remainder is 0.
Answers
A number is divisible by another number if the quotient is a counting number and the remainder is 0.
50!
4! 46!
How do I solve this? I learned it yesterday
Answers
Answer: 50! = 3.0414093e+64. 4!= 24. 46!=5.5026222e+57
HELP
slope = 1; y-intercept =8
Answers
Answer:
[tex]y = mx + c \\ m = 1 \\ c = 8 \\ y = 1x + 8 \\ y = x + 8[/tex]
Given :-
slope = 1 y intercept = 8To find :-
The equation of the line .Solution :-
We know that ,
y = mx + cOn substituting ,
y = 1*x + 8 y = x + 8In 1993, the moose population in a park was measured to be 4350. By 1999, the population was measured again to be 4890. If the population continues to change linearly: Find a formula for the moose population, P , in terms of t , the years since 1990.
Answers
Answer:
P = 90t
t = 31 years
Step-by-step explanation:
Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $429.00 and her monthly expenses are $347.49, what percent of her net pay is left for savings?
a
19%
b
23%
c
65%
d
81%
Answers
($347.49/$429.00) x 100
= 65%
The answer is C
Nathan usually drinks 32 ounces of water per day. He read that he should drink 56 ounces of water per
day. If he starts drinking 56 ounces, what is the percent increase? Round to the nearest percent.
Answers
Answer:
57 percent
Step-by-step explanation:
36 divided by 56 equals .57142 which rounds to 57
Bag A contains 3 red balls and 1 blue ball. Bag B contains 1 red ball and 1 blue ball. You perform the following experiment. First, randomly pick one ball from each bag. Next, place the ball from bag A into bag B and the ball from bag B into bag A. What is the expected number (or mean) of red balls in the bag A
Answers
Answer:
2
Step-by-step explanation:
because the tree you must have more red balls than blue
X-(-y-z+3) remove the parentheses
Answers
Answer:
x + y + z - 3
Step-by-step explanation:
Basically, putting a negative sign before parentheses signifies that you want to flip the sign of everything within the parentheses. This can also be explained by the negative sign representing -1.
Knowing this, we can just multiply everything within by -1.
-y -> y
-z -> z
3 -> -3
We now have y + z - 3, just put this into the original expression and we have our final answer of:
x + y + z - 3
:)
CAN SOMEONE PLEASE HELP ME WITH THIS ASSIGNMENT, I’D BE SO THANKFUL
Answers
I have more questions then this
Answers
Answer:
maybe 3 option
Step-by-step explanation:
hope helpful
have a great day
Choose the scientific notation for 0.01.
O 1x 10-4
O 1x 103
O 1x 10-2
O 1x 101
Answers
Answer:
1×10-2
Step-by-step explanation:
10-2 = 1÷100 =0.01×1 = 1× 10-2
Plz help I need help
Answers
what is the solution to this inequality?
3n > 45.
A. n>15
B. n>42
C. n>48
D. n>135
Answers
Answer:
the answer to your problem is c