What is the solution to this equation?
3d + 2) – 12 = d - 2
==
-
O d = 2
O d = 4
O d = 8
O d = 10
Answer:
D=4
Step-by-step explanation:
a. The solution of the equation x + 2 = √3x + 10 is x = -3 or x =2.
b. Extraneous solution is x= -3.
c. Extraneous solution does not satisfy original equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
As given in the question,
Given equation :
x + 2 = √3x + 10
a. Squaring both the sides
( x + 2 )² = ( √3x + 10 )²
⇒ x² + 4x + 4 = 3x + 10
⇒ x² + x - 6 =0
⇒ x² + 3x -2x -6 =0
⇒ ( x+ 3) ( x -2) =0
⇒ x= -3 or x = 2
b. Extraneous solution:
x = -3
-3 + 2 = √3(-3)+ 10
⇒ -1 ≠ 1 extraneous solution.
x= 2
2+ 2 =√3(2) +10
⇒4 = 4 not extraneous.
c. Extraneous solution does not satisfy original equation
Therefore, the solution of the equation is x = -3 or x=2and its extraneous solution is x =-3. Extraneous solution does not satisfy original equation.
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The complete question is :
Use the equation below to answer these questions.
x + 2 = √3x + 10
a) What is the solution to the equation?
b) What is the extraneous solution? Why?
c) In general, what is an extraneous solution?
Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x+2y=-8
Answer:
y = 3x - 5
Step-by-step explanation
Answer:
Y = 3x - 5
Step-by-step explanation:
6x - 2y = 10
-2y = -6x + 10
y = 3x - 5
15 men can complete the construction of a wall in 12 days in how many days can 18 men complete the same work
Answer:
10 days
Step-by-step explanation:
15 men ----- 12 days
18 men ----- x ?
They are inversely proportional
more men less days
15 / 18 * 12 = 10 days
What’s half of 1/2
Please help me !
Answer:
its 1/4 .............1/2/2=1/4
I hope it helped u
Answer:
1/4
Step-by-step explanation:
the way you do this is by multiplying 1/2 by 1/2
HELP PLEASE
Miguel drove for 8 hours at a constant rate. He drove a total of 424 miles.
Donna also drove at a constant rate. This table shows the number of miles she had driven in different numbers of hours.
Who drove at a slower speed?
Answer:
miguel did
Step-by-step explanation:
i just did this
Hi imma give out free stuff cause why not
Answer:
huhhhhhhhhhh■♤○♡¤《■■□○○
make x the subject of the following formula x^2+3=h
2x=2y=p
s=x^2-3
Answer:
x^2+3=h
to make x the subject of the formula,move 3 to the other side making it negative
x^2 = h + 3
to take out the square,take the square root of both sides.
√x^2 = √ h + 3
x = √ h + 3.
you can ask me questions privately when confused .
Could someone please help me with this question?
(Will give Brainliest)
Answer:
x = 2
Step-by-step explanation:
****25 points**** need help wil take at least 3 minuets
IF YOU SCAM!!! I WILL REPORT CAUSE NO LINKS!!! NO STINKIN LINKS!!!!
Answer:
The solution is (2,-2)
Step-by-step explanation:
what is 3(w*8)+x if w is 1/3 and x is 4 give brain help
Answer:
12
Step-by-step explanation:
To evaluate 3(w*8)+x, replace 'w' with (1/3) and 'x' with 4:
3([1/3]*8) + 4
We can multiply 3, [1.3] and 8 in any order, then add 4:
1*8 + 4, or 8 + 4 = 12
Answer:
10
Step-by-step explanation:
Please help 30 points and don’t comment stuff for the points please
Answer:
x = 78
y = 115
Step-by-step explanation:
Answer:
X= 78°
Y=115°
Step-by-step explanation:
180° - 102°
115 = 115°
ASAP please help me with this question
SAS................
.........................
Plsss help It due tmr plsss
Answer: 50
Step-by-step explanation:
exterior angles are supplement of interior angle therefore the 110 thing must be 70, also youre given 60 so 70+60=130
50 is missing from 180
A seed company planted a floral mosaic of a national flag. The perimeter of flag is 2,340 ft determine the flag’s width and length if the length is 270ft greater than the width.
Answer:
l = 720ft w = 450ft
Step-by-step explanation:
[tex]2340 = 2l + 2w \\ l = w + 270 \\ 2340 = 2(w + 270) + 2w \\ 2340 = 2w + 540 + 2w \\ 1800 = 4w \\ w = 450 \\ \\ l = 450 + 270 \\ l = 720[/tex]
Answer: hope this
Step-by-step explanation:
solve pls brainliest
Answer:
Well you got 1/4 + 1/12
So we have to have the same denominator in order to solve this
So by finding a common multiple, you would be able to solve this
So in this case is the common multiple.
we already have a 12 so we leave that be.
We need to convert 1/4 to x/12
To Do that we multiplying it by 3
so 3/12 + 1/12
Now add normally and keep the denominator
4/12
or 1/3
Answer:
[tex]\sf \cfrac{1}{4}+\cfrac{1}{12}[/tex]
First find the Least Common Denominator (LCM) of 4, 12.
[tex]\sf \cfrac{1\times 3}{4\times 3} +\cfrac{1}{12}[/tex][tex]\sf \cfrac{3}{12}+\cfrac{1}{12}[/tex]Join the denominators.
[tex]\sf \cfrac{4}{12}[/tex][tex]\sf \cfrac{1}{3}[/tex]Pls help what is this as a simplified fraction (thank u Jesus loves u)
Help please!!!!!!!!!!!!!!
Answer:
y=-1/3x+9
Step-by-step explanation:
really easy get fre-e points
write the number 4 million as the product of a single digit and a power of 10
Answer:
4 x 10^6
Thanks! Have a great day! :)
help with this question
Answer: x=-1-2 square root 7
Step-by-step explanation:
four times the sum of a number and 9 is 16
Answer:
Step-by-step explanation:
four times the sum of a number and 9 is 16
4 *(x + 9) = 16
4x + 36 = 16
4x = 16 - 36
4x = -20
x = -5
---------------
4 * (-5 + 9) = 16
16 = 16
true
£6000 is to be shared among David, Daniel and Dennis, Daniel is to get one and a half times as much as David, while Denis is to get three and a half times as much as David. Determine (i) the ratio in which the money is to be shared. (ii) the amount of money each will get.?
Answer:
36
Step-by-step explanation:
9+9+9+9=36 or 9 times 3
HOPE IT HELPS Y'ALL:)
Find x, y, and the measure of each angle please !!!
please look at the image below.
9 less than the product of 9 and a number
please help marking brainlist
Answer:
7/10
Step-by-step explanation:
Try 7/10
(7/10)^2=49/100
The Coney Island Boardwalk is 2.7 miles long.
A person walks at the average speed of 3 mph.
How long will it take the person to walk the boardwalk to the end and back?
Answer = 1.8
Step 1) 3 ÷ 2.7 = 0.900
Step 2) 0.900 x 2 = 1.8
Time taken by the person to walk the boardwalk to the end and back is 0.9 hours.
Given that, The Coney Island Boardwalk is 2.7 miles long.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
A person walks at the average speed of 3 mph.
We know that, speed = Distance/Time
= 2.7/3
= 0.9 hours
Hence, time taken by the person to walk the boardwalk to the end and back is 0.9 hours.
To learn more about the speed, distance, and time visit:
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Simplify the expression and combine like terms.
3(x+1)+8+4x3(x+1)+8+4x
please help, it would mean the world to me :D
Answer:
im gonna guess that the x's aren't multiplication, the answer is 14x+20
need help pls .......
Answer:
It should be the last one because rigid transformations doesn't change in size just where it is
if investments double every 7 years and you start with a $600 investment, how much money would you have after 21 years?
Answer:
$4,800.00 might be the answer if I did it right.
(2x-1) (2x+2) bằng bao nhiêu
Answer:
(2x-1) (2x+2)
4^2+2−2
Hope This Helps!!!
The distance between two cities is 420km. What is the average speed of a journey from one city to the other if it takes 6 hours and 15 minutes?
BRAINLIEST
Answer:
1.024km/h
Step-by-step explanation:
speed=distance/time
speed=420/6 hours 15 minutes
speed=420/410
speed=1.024km/h
