Answer:
The LCM is made by multiplying all factors included in the factoring of the given expressions. Common factors are used once only and the one with the highest power is used. 3 x 3 - 2 x 2 - x and x - 1 . The LCM is by multiplying all factors included in the factoring of the given expressions.
Step-by-step explanation:
To find the LCM of given expressions, we proceed as follows:
1) Express each of the expressions as the product of its factors including prime factors where applicable.
2) Find the product of each factor with the highest power which occurs in the given expressions.
3) This product is the LCM.
Select all equations that are equivalent to (5x+6)2=3−(4x+12) .
a. 5x+6=3−(4x+12)
b. (5x+6)2=−4x−9
c. 52x+3=3−(4x+12)
d. (5x+6)2=−4x+15
e. 5x+6=−8x−18
Answer:
B
Step-by-step explanation:
ita only b .............
The equations that are equivalent to (5x + 6)2 = 3-(4x +12) is (5x+6)2=−4x−9.
Option B is correct.
The very first thing to do is to solve the expression in the given question.
SO,
(5x + 6)2 = 3-(4x +12)
Open brackets
10x + 12 = 3 - 4x - 1210x + 12 = -4x - 9Collect like terms
10x + 4x = -9 - 1214x = -21x = -21/14
Now, we will solve each of the given options to determine which one corresponds to the solution to the expression above.
Starting with Option (a)
5x + 6 = 3 - (4x + 12)
Open brackets
5x + 6 = 3 - 4x - 125x + 6 = -4x - 95x + 4x = -9 - 69x = -15x = -15/9Option (a) is incorrect
b.
(5x + 6 )2 = -4x - 9
Open brackets
10x + 12 = -4x -9Collect like terms10x + 4x = -12 -914x = -21x = -21/14Option (b) is correct
(c.)
52x + 3 = 3 - (4x + 12)
Open brackets
52x + 3 = 3 - 4x - 1252x + 3 = -4x - 952x + 4x = -9 - 356x = - 12x = -12/56x = -3/14Option (c) is incorrect
(d)
(5x + 6)2 = -4x + 15
Open brackets
10x + 12 = -4x + 1510x + 4x = -12 + 1514x = 3x = 3/14Option (d) is incorrect
(e)
5x + 6 = -8x - 18
Collect like terms
5x + 8x = -18 - 613x = - 24x = -24/13Option (e) is incorrect
Therefore, we can conclude that the correct equation equivalent to the given expression in the question can be seen in Option b.
Learn more about algebraic expression here:
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Richard earns $25 allowance each week how can she mentally compute her total earnings after seven weeks
she would have to multiply 25 × 7 to get $175
which statement is equivalent to the inequality | x-3 | > 5
What is the slope of the line that contains the points (1,-19) and (-2,-7)? Write in simplest form
Answer:
-4
Step-by-step explanation:
HELP QUICK!!!!! PICTURE
Answer:
The answer will be A
Answer: a. 2.3 x 10³
Step-by-step explanation:
You first divide 6.9 by 3 which is 2.3
When dividing numbers with exponents you subtract them, so you subtract th exponent 8 by the exponent 5 which is 3 (10³)
HELPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEE ITS DUEEEEEEEEEEEEEEEEEEE
Answer:
Look below.
Step-by-step explanation:
13.)
The lines are neither because the slopes are reciprocals.
14.)
The lines are perpendicular because the slopes are opposite reciprocals.
Can anyone help meee?
Answer:
d.140
Step-by-step explanation:
Angad was thinking of a number. Angad doubles it and gets an answer of 46.8.
What was the original number?
Answer:
23.4
Step-by-step explanation:
If he doubles it and gets 46.8. That means his number is half 46.8. Which makes his number 23.4.
How many minutes did the largest number of deliveries take in Week 2?
help pls
Answer:
30. Have a nice day! :)
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
look at the green line and see where it stop
Which property was used to write the equation in step 2? Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18. distributive property addition property of equality subtraction property of equality division property of equality
Answer:
distributive property
Step-by-step explanation:
i took the quiz
Answer: It's A
Step-by-step explanation:
A car used 1 2/5 gallons of gasoline to travel 50 3/4 miles. How far can the car travel on 1 gallon of gasoline?
Answer:
36 1/4
Step-by-step explanation:
you had to divide the miles into gallons
A car can travel [tex]36\frac{1}{4}[/tex] Miles on 1 gallon of gasoline.
What is an improper fraction?A fraction that has the numerator higher than or equal to the denominator is said to be an improper fraction.
Given, a car used [tex]1\frac{2}{5}[/tex] gallons of gasoline to travel [tex]50\frac{3}{4}[/tex] Miles.
In order to solve the problem:
First, we solve covert the mixed fraction to improper fraction.
That means,
[tex]1\frac{2}{5}[/tex] = 7/5
[tex]50\frac{3}{4}[/tex] = 203/4
That means, a car used 7/5 gallons of gasoline to travel 203/4 miles.
To find the distance of car can travel on 1 gallon of gasoline:
203/4 ÷ 7/5
= 203/4 x 5/7
= [tex]36\frac{1}{4}[/tex] Miles.
Therefore, car can travel [tex]36\frac{1}{4}[/tex] Miles on 1 gallon of gasoline.
To learn more about the improper fraction;
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MULTIPLY MIXED NUMBERS
20 - 9x = x + 10x
What is X?
HELP :(((
a. 168
b. 62
c. 625
d.25
Answer:
A.
Step-by-step explanation:
24 x 7 = 168
Answer:
The answer is 25 units for the DF measurement
Step-by-step explanation:
Use mental math to find the sum of 25.65, 13.23, and 6.35.
A. $45.23
B. $45.35
C. $46.00
D. $46.23
I NEED HALP PLEASEEEEE
Answer:
d
Step-by-step explanation:
Answer:
A. 45.23
Step-by-step explanation:
25.65 + 13.23 + 6.35 equals 45.23.
if a translation take triangle CAT to C’A’T’, what is A’T’?
Answer:
Option (1)
Step-by-step explanation:
If a translation takes the triangle CAT to triangle C'A'T', transformation will be the rigid transformation or Isometry.
By the definition of rigid transformation, shape and size of the image and preimage remains the same.
Therefore, length of the sides of ΔC'A'T' will remain same as ΔCAT after the translation.
Option (1) √10 will be the answer.
Answer:
√10 (option 1) is the answer. (FLVS)
Step-by-step explanation:
Hope this helps
is 2.125 a rational number
Answer: Yas
Step-by-step explanation:
The number of items on two grocery lists differs by 7. The total number of 1
items is 33. How many items are on each list? Use n as your variable.
Answer:
n=26
n=33
Step-by-step explanation:
does the equation y = 3x+6 represent a proportional relationship?
what is the slope or the line going through (0,0) (6,8) A: -6/8 B: -3/4 C: 3/4 D: 8/6
Start at (0,0). To get to the other point, you must move up 8 units and move to the right 6 units.
slope = rise/run = (change in y)/(change in x) = 8/6
Or you could use the slope formula
m = (y2-y1)/(x2-x1)
m = (8-0)/(6-0)
m = 8/6
Normally I would reduce, but your teacher has decided not to.
8/6 reduces to 4/3 when you divide both parts by 2.
PLEASE HELP ME! I WILL MARK YOU BRAINLIEST 36 POINTS AWARDED TO THE PERSON THAT ANSWERS
Answer:
Step-by-step explanation:
I got 900000
Answer:
900000
Step-by-step explanation:
10^5 is 100000
100000*5 is 900000
Which is the solution set of a for-3(-x + a) + 7 < 5 when x = -1?
Pls help ASAPPPPPP!!!!!!! 95 pointssss pleaseeee
Answer:
C.
Step-by-step explanation:
3-3a+7<5
3a+7<2
3a>-5
a > [tex]\frac {5}{3}[/tex]
evaluate (101.5)²-(100.5)²
You can exploit the difference-of-squares identity,
a² - b² = (a - b) (a + b)
Then
101.5² - 100.5² = (101.5 - 100.5) * (101.5 + 100.5)
101.5² - 100.5² = 1 * 202
101.5² - 100.5² = 202
Can someone please help me!!!
Answer:
The base angles for 1 are L and J
Vertex angle is H
The legs are the lines on each side of the triangle
Step-by-step explanation:
Find x, the missing side length in the right triangle.
9
41
х
Answer:
x = 40
Step-by-step explanation:
Andy's phone plan charges $0.45 per text message plus a $20 monthly fee. Jeff's plan charges $0.20 a text plus an additional $35 monthly fee. Which equation can be used to determine when the phone plans will cost the same based on the number of texts?
Answer:
20+0.45x=35+0.20x
Step-by-step explanation:
From the information given, you can say that Andy's plan cost would be equal to Jeff's plan cost and then solve for the number of text to find when the phone plans will cost the same:
20+0.45x=35+0.20x, where x is the number of texts
Now, you can solve for x:
0.45x-0.20x=35-20
0.25x=15
x=15/0.25
x=60
According to this, the equation that can be used to determine when the phone plans will cost the same based on the number of texts is 20+0.45x=35+0.20x.
PLZZZZZZZ HELP ASAP!!!!!!!!! In a negative feedback loop, the initial signal is:
Question 15 options:
remains unchanged
canceled out
amplified to a climax
Answer:
Remains unchanged
Step-by-step explanation:
Answer:
Step-by-step explanation:
In a negative feedback loop, the product of the loop inhibits whatever initiated the loop, preventing more product from being formed.
This is in contrast to a positive feedback loop, where the product of the loop further stimulates whatever initiated the loop, resulting in even more product being formed.
HELP PLZ!!!!!!!!!!!! 30POINTS!!!!!!!!
Answer:
A
Step-by-step explanation:
just watch and go with the flow
HELP!!!!!!!!!!! Please like fast please and thank you
Answer:
C
Step-by-step explanation:
39-7=32
40-7=33
41-7=34
42-7=35
Expand: log 4(x/ y^5z)
Answer:
log4+logx-5zlogy