Answer:
x = 3
Step-by-step explanation:
(x - 1)2 + 2 = x + 3
~Distribute left side
2x - 2 + 2 = x + 3
~Combine like terms
2x = x + 3
~Subtract x to both sides
x = 3
Best of Luck!
Answer:
x is 3 I hope it helps. (if it really helps then I would aprecciate a brainlest)
Step-by-step explanation:
(x - 1)2 + 2 = x + 3 then 2x - 2 + 2 = x + 3 then 2x = x + 3 x=3if L || M, find the value of each missing variable(s).
Answer:
13. x = 21; y = 15
14. x = 8; y = 11
15. x = 16; y = 23
Step-by-step explanation:
13. (3x - 16)° + (6x + 7)° = 180° (same side interior angles are supplementary)
Solve for x
3x - 16 + 6x + 7 = 180
Collect like terms
9x - 9 = 180
Add 9 to both sides
9x = 180 + 9
9x = 189
Divide both sides by 9
x = 189/9
x = 21
(6x + 7)° = (11y - 32)° (vertical angles are congruent)
Solve for y by substituting x = 21 into the equation
6(21) + 7 = 11y - 32.
126 + 7 = 11y - 32
133 = 11y - 32
Add 32 to both sides
133 + 32 = 11y
165 = 11y
Divide both sides by 11
165/11 = y
15 = y
y = 15
14. (11x - 25)° = (8x - 1)° (alternate exterior angles theorem and corresponding angles theorem)
Solve for x
11x - 25 = 8x - 1
Collect like terms
11x - 8x = 25 - 1
3x = 24
Divide both sides by 3
x = 24/3
x = 8
(8x - 1)° + (15y - 48)° = 180° (linear pair theorem)
Substitute x = 8 into the equation and solve for y
8(8) - 1 + 15y - 48 = 180
64 - 1 + 15y - 48 = 180
15 + 15y = 180
Subtract 15 from both sides
15y = 180 - 15
15y = 165
Divide both sides by 15
y = 165/15
y = 11
15. (7x - 44)° = (4x + 4)° (alternate exterior angles theorem)
Solve for x
7x - 44 = 4x + 4
Collect like terms
7x - 4x = 44 + 4
3x = 48
Divide both sides by 3
x = 48/3
x = 16
39° + (8y - 43)° = 180° (corresponding angles theorem and linear pair theorem)
Solve for y
39 + 8y - 43 = 180
Collect like terms
-4 + 8y = 180
Add 4 to both sides
8y = 180 + 4
8y = 184
Divide both sides by 8
y = 184/8
y = 23
g(t) = 1 + 2
f(t) = 1 + 1
Find g(t) + f(t)
Answer:
g(t)= 3
f(t)= 2
Step-by-step explanation:
1+2=3
1+1=2
Point J located at (2, 7) is rotated 90 degrees counterclockwise about (-1, -3). What is the y-coordinate of J’?
A. 9
B. 0
C. -11
D. -9
Given:
Coordinates of point J are J(2,7).
It is rotated 90 degrees counterclockwise about (-1, -3).
To find:
The y-coordinate of J’.
Solution:
If a figure rotated 90 degrees counterclockwise about a point (a,b), then
[tex](x,y)\to (-(y-b)+a,(x-a)+b)[/tex]
Point J is rotated 90 degrees counterclockwise about (-1, -3). So, a=-1 and b=-3.
[tex](x,y)\to (-(y-(-3))+(-1),(x-(-1))+(-3))[/tex]
[tex](x,y)\to (-(y+3)-1,(x+1)-3)[/tex]
[tex](x,y)\to (-y-3-1,x+1-3)[/tex]
[tex](x,y)\to (-y-4,x-2)[/tex]
Coordinates of point J are J(2,7).
[tex]J(2,7)\to J'(-7-4,2-2)[/tex]
[tex]J(2,7)\to J'(-11,0)[/tex]
Therefore, the y-coordinate of J' is 0. Hence, the correct option is B.
Two trains leave stations 204 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour while the other travels at miles per hour. How long will it take for the two trains to meet?
Answer:
t = 1.23 hours
Step-by-step explanation:
Given that,
Distance between two stations is 204 miles
One train travels at 90 miles per hour while the other travels at 75 (let) miles per hour.
We need to find how long will it take for the two trains to meet.
As both cars travel toward each other, it means they approach with a speed of 90 mph + 75 mph = 165 mph.
Let t is the time when they meet. So,
[tex]t=\dfrac{d}{v}\\\\t=\dfrac{204}{165}\\\\t=1.23\ h[/tex]
It will take 1 hour 23 minutes for the trains to meet.
Determine whether or not the relationship represents a function.
Ay
A
Function
B
Not a function
how many 1/8 can i find in 6/7
Answer:
Im pretty sure your answer is 3/28 if not 48/7
Step-by-step explanation:
Denver is planting strawberry seedlings in a new garden. He can plant 3 rows of a certain length with 2 seedlings left over or 4 rows of the same length with 3 seedling spots left empty. What is the length, x, of each row in meters?
Answer:
The length of each row is 5 m.
Step-by-step explanation:
It is given that,
Denver can plant 3 rows of a certain length with 2 seedlings left over and 4 rows of the same length with 3 seedling spots left empty.
Let the length of each row is x.
Case 1,
Total number of seeds = 3x+2
Case 2,
Total number of seeds = 4x-3
From both of the cases,
3x+2 = 4x-3
Taking like terms together,
3x-4x=-3-2
-x=-5
x=5
So, the length of each row is 5 m.
Malia is out shopping and finds a drone originally valued
at $400.00. It is now on sale for 90% of the
original price.
What is the new cost of the item?
Answer:
$360.00
because to find a percent you multiply 400 by .9
Look at the image of the table of values below. Over which interval of x is the average rate of change the largest?
Between 5 & 8.
[tex]\displaystyle {21-15\over 8-5} = 6/3 = 2[/tex] is the largest rate of change, differentiating from [tex]5\over3[/tex] and [tex]11\over6[/tex]
Please help Graphing slope intercept
Answer:
i think it i the 2nd one.
Step-by-step explanation:
Explain the difference between (-12) and -12
Answer:
0 or none
Step-by-step explanation:
jump the number line
can anyone help me? (:
Answer:
I think its b
Step-by-step explanation:
Answer:
this answer is b
Step-by-step explanation:
have a good day
A car initially moving at 4 m/s accelerates to a new velocity of 10 m/s in a time of 3
seconds. What was the acceleration of the car?
Step-by-step explanation:
Hey there!
Given;
Initial velocity (u) = 4m/s
Final velocity (v) = 10m/s.
Time(t) = 3s
Acceleration (a) = ?
We know;
[tex]a = \frac{v - u}{t} [/tex]
Keep all values.
[tex]a = \frac{10 - 4}{3} [/tex]
Simplify it.
[tex]a = \frac{6}{3} [/tex]
Therefore, acceleration is 2m/s^2.
Hope it helps....
Triangle angles review (khan academy)
Find the value of x in the triangle shown below
X = ?
Answer:
The correct answer is 87°
hope this helps
plz mark. as brainliest
Four different tables of x and y values are shown.
Table 1
у
Table 2
х у
-4 5
10
NOW
1
-4
8
5
2
5
5
26
2
8
Table 3
Table 4
у
2
х
-4
-1
y
-7
XNNIO lo
2
2
3
7
2
9
19
Which table(s) represent(s) a function?
Table 1 only
O Table 2 only
O Tables 1 and 3 only
Tables 1.3. and 4 only
Step-by-step explanation:
I believe it's table 2 only, but I apologize if I'm wrong. Haven't learned functions in about 3 years haha!
f(x) = -x2 - 10x find f(-7)
Answer:
119
Step-by-step explanation:
f(x)= -x²-10x
f(-7)= -7²-10(-7)
7²= -7*-7 -10*-7
f(-7)=49+70
f(-7)=119
(b) Tom removed 8 fish from his pond each day for 48 days. What was the total change in
the number of fish in the pond?
Answer:
16 fish were removed
48 hours is 2 days time so if he took 8 fish for 2 days he took 16 fish
Have a good day!
:)
Answer:
A decrease by 384 fish
Step-by-step explanation:
8 × 48 = 384
2+2 :( i dont know this ;cc
Answer:
i think its either 22 or 4?
Step-by-step explanation:
Answer:
I believe it is 4
Step-by-step explanation:
hey siri play wap on living room speakers.
If u can guess my age I’ll mark brainliest :D
Answer:
I'm guessing that you're some age over the age of 1.
Edit: I honestly don't care about being marked Brainliest, because it's not even that important.
can someone do my homework i will mark brainliest i will fail if it is not done by tonight
Answer:
What is the question?
Step-by-step explanation:
If you tell me what the Homework is then sure!
Grace's mom gave her $15.00 to buy school supplies. Grace needs to buy 3 mechanical pencils and some notebooks. If each mechanical pencil costs $1.75 and each notebook costs $2.99, how many notebooks can Grace buy using only the money her mom gave her?
Answer:
3
Step-by-step explanation:
Jane contribuyó con $ 10,000 y Julie contribuyó con $ 6,000. Después de un año, la empresa obtuvo una ganancia de $ 4,000. ¿Qué proporción de las ganancias debería tomar Julie si se comparten en la misma proporción que sus contribuciones originales?
Answer:
Ganancias Julie= $1,500
Step-by-step explanation:
Dada la sigueinte información:
Jane contribuyó con $ 10,000 y Julie contribuyó con $ 6,000. Después de un año, la empresa obtuvo una ganancia de $ 4,000.
Primero, debemos calcular la proporción de aportes de cada una:
Jane= 10,000/16,000= 0.625
Julie= 6,000/16,000= 0.375
Ahora, lo que le corresponde a Julie de las ganancias:
Ganancias= 4,000*0.0375
Ganancias Julie= $1,500
what does x equal 8x−2=12x+18
Answer:
x = -5
Step-by-step explanation:
Start by combining terms.
8x-2 = 12x +18
8x -12x = 18+2
-4x = 20
*Divide both sides by -4
x = -5
PLEASE HELPMEEEEEEEEEEEEEEEEEEEEE!!!!!
Answer:
The constant of proportionality in the equation y= 2X is 2.
Solve for x with given angle measures.
Answer:
Step-by-step exx=3planation:
The exterior angle is equal to the sum of the opposite interior angles
3x^2 -6x+8x = 2x^2 +3x+6
Combine like terms
3x^2+2x=2x^2+3x+6
Subtract 2x^2 from each side
3x^2+2x -2x^2=2x^2-2x^2+3x+6
x^2+2x=3x+6
Subtract 3x from each side
x^2+2x-3x=3x-3x+6
x^2-x=6
Subtract 6 from each side
x^2 -x-6 =0
Factor
( x-3)(x+2) =0
Using the zero product property
x-3 =0 x+2 =0
x=3 x=-2
But x cannot be negative since an angle would have a negative value so
x=3
Check
3x^2 -6x+8x = 2x^2 +3x+6
3 ( 3)^2 -6(3) +8(3) = 2 (3)^2 +3(3)+6
3*9 -18 +24 = 2 *9 +9+6
27 -18+24 = 18+9+6
33=33
Carpets Plus has five square carpet remnants. Two of the remnants measure 8 feet on a side, and three of the remnants
measure 10 feet on a side. Which expression represents the total square footage of the five carpet remnants?
O 12 * 102) + (382)
82 +10%
5(8 + 10)2
O (2*82) + (3 x 102
Answer:I don’t understand what you are asking so I am going to answer it my way sorry if it wrong oki think that it is 10 x 4 = 40 but I just did what I think sorry it most likely wrong but yea ..,
Step-by-step explanation:
A bank records deposits as positive numbers and withdrawals as negative numbers. Mike withdrew $60 from his bank account 3 times. What is the change in Mike's account balance after all withdrawals? a) write the setup (the expression) b) answer as an integer c) answer in a sentence
Answer:
-$180
Step-by-step explanation:
Mike withdrew $60 from his bank account 3 times.
The bank record withdrawals as negative numbers
a) write the setup (the expression)
= -$60 * x
= -$60x
Where x = number of times Mike withdrew
b) answer as an integer
-$60 * 3
= -$180
c) answer in a sentence
$60 * 3
= -$180
= Negative $180 or minus $180
SOMEONE HELP PLEASE ?!
Answer:
3.5
Step-by-step explanation:
is .3781 rational or irrational?
You recently started your own company. Your first year in business, your company reported a net loss of $1,250. The next year, your company made a $3,475 net profit. The year after that, your company reported a $2,478 net profit. What was your company's net loss or gain over the last 3 years?
Answer:
$4703
Step-by-step explanation:
Given that :
First year :
Net loss = $1250
2nd year:
Net profit = $3475
3rd year :
Net profit = 2478
Net loss or gain over the last 3 years :
Let Net loss be represented as negative and net profit as positive
Net loss + net profit + net profit
(-$1250 + $3475 + $2478)
$4703 net gain over the last 3 years