Answer:
x = -4 and 4
Step-by-step explanation:
X+2/x-3 + x-3/x+2 = 5/2
Answer:
[tex]x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} [/tex]
Step-by-step explanation:
[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} [/tex]
[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} [/tex]
[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} - \frac{5}{2} = 0[/tex]
[tex] \frac{2(x + 2 {)}^{2} + 2(x + 3) \times (x - 3) - 5(x + 3) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0[/tex]
[tex] \frac{2(x + 2 {)}^{2} + 2( {x}^{2} - 9) + ( - 15x - 15) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0 [/tex]
[tex] \frac{2( {x}^{2} + 4x + 4) - 3 {x}^{2} - 48 - 25x}{2(x + 3) \times (x + 2)} = 0[/tex]
[tex] \frac{2 {x}^{2} + 8x + 8 - 3 {x}^{2} - 48 - 25x }{2(x + 3) \times (x + 2)} = 0[/tex]
[tex] \frac{ - {x}^{2} - 17x - 40 }{2(x + 3) \times (x + 2)} = 0[/tex]
[tex] {x}^{2} + 17x + 40 = 0[/tex]
[tex]x = \frac{ - 17± \sqrt{ {17}^{2} - 4 \times 1 \times 40 } }{2 \times 1} [/tex]
[tex]x = \frac{ - 17± \sqrt{289 - 160} }{2} [/tex]
[tex]x = \frac{ - 17± \sqrt{129} }{2} [/tex]
[tex]x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} [/tex]
Need help on 14 please help
8th grade math
Step-by-step explanation:
Well, the paper is being cut into strips. In other words, the paper is being divided. Therefore, we can divide 8 1/2 by
1 9/16 to find the amount of strips of paper that can be made.
[tex]8 \frac{1}{2} \div 1 \frac{9}{16} [/tex]
Change the mixed numbers to an improper fraction.
[tex] \frac{17}{2} \div \frac{25}{16} [/tex]
Next, use KCF (keep, change, flip) to divide the fraction.
[tex] \frac{17}{2} \times \frac{16}{25} = \frac{272}{50} = 5 \frac{22}{50} [/tex]
About 5 whole strips of paper in that size can be made from that one sheet of paper.
ASAPPP PLSSSS Both of the questions pls
Answer: Number 4 is the Bottom Bubble
Number 5 is the 2nd bubble
Step-by-step explanation:
0.012, 0.12, 1.2, 12
9.68, 9.7, 9.71, 9.90
Step-by-step explanation:
1 - (0.012 , 0.12 , 1.2 ,12)
2- (9.68 , 9.7 , 9.71 , 9.90)
there's a crab on the ocean floor 60 ft below sea level and a bird 120 ft in the air how far apart are the crab and the bird
Answer:
180 feet
Step-by-step explanation:
|-60+120| is 180
Answer:
is it 180 feet apart if it is then here is the steps
Step-by-step explanation:
120+60 = 180
please mark as brainiest
Which of the following ordered pairs is on the linear function 2x + 3y = 6?
(0,3)
(-4, 0)
(3, 0)
Use the number line below, where RS = 9y +3, ST = 3y + 4, and RT = 17y - 33.
a. What is the value of y?
b. Find RS, ST, and RT.
Answer:
R___S___T
RT=RS+ST
(17y-33) =( 9y+3)+(3y+4)
17y-33 = 12y+ 7
17y - 12y = 7+33
5y= 40
y=40/5
y= 8
RS = 9y+3 = 9(8)+3= 72+3=75
ST= 3y+4 = 3(8)+4=24+4=28
RT= 17y-33= 17(8)-33= 136-33= 103 —>
Or ; RT=RS+ST =75+28= 103
So;a. Ans; y=8b. Ans; RS= 75 , ST = 28 , RT = 103I hope I helped you^_^
Solve : x/3-2/5 = 2x/15-3/5
8 less than the product of a number and 4 is 20
Answer:
This word phrase into a equation is
4x -8 = 20
67+38 (mod5)
pls can someone help me with this question
Answer:
67 + 38(mod5)
= 67 + 38 =105÷5 (mod5)
= 21 reminder 0 ( mod 5)
Since while handling modes or finites the reminder is always considered therefore;
67 + 38 = 0 ( mod 5)
Find value of X. plz help i’ll give brainliest
Answer:
362°
362° is the value of X
find the distance between the points G(-5,4)
and H(2,6)
Answer: sqrt 53
Step-by-step explanation:
Sqrt [(2 - - 5)^2 + (6-4)^2] =
Sqrt (7^2+ 2^2) = sqrt 53
Convert 625 km per 4.33 hours (km/hr) into meters per second (m/s)
Answer:11.1374847 Meter per second
Step-by-step explanation:
km / hr
/ = divide
To solve this question, we'll begin by converting 625 km to m. This can be obtained as follow:
1 km = 1000 m
Therefore,
625 km = 625 × 1000
625 km = 625000 m
Thus, 625 km is equivalent to 625000 m.
Next, we shall convert 4.33 hours to second. This can be obtained as follow as follow:
1 h = 3600 s
Therefore,
4.33 h = 4.33 × 3600
4.33 h = 15588 s
Thus, 4.33 h is equivalent to 15588 s.
Finally, we shall convert 625 km per 4.33 hours to m/s
625 km = 625000 m
4.33 h = 15588 s
625 km per 4.33 hours =?625 km per 4.33 hours = 625000 m / 15588 s
625 km per 4.33 hours = 40.09 m/sTherefore, 625 km per 4.33 hours is equivalent to 40.09 m/s
Learn more: https://brainly.com/question/24436693
0.65+0.04+0.35 Simplify the expression and identify which property is used in each step
Answer:
1.04Step-by-step explanation:
Hope this helps. Mark as brainlest plz!Answer:
1.04
Step-by-step explanation:
0.65+0.04+0.35=
=1+0.04=
=1.04
Sully makes door handles at a auto factory. He made 36 door handles on Monday and 42 on Tuesday. He earned $328.38 for the 2 days. How much does he earns for each door handle? *
Hello :D
To work this out you need to do:
36 + 42 = 78
$328.38/78 = $4.21
Sully earns $4.21 per door handle.
Choose a variable to isolate and what it is equal to in the system of equations below
Answer:
y=2x-3
Step-by-step explanation:
2x=y+3
2x-3=y
help me out
help me out
help me out
help me out
help me out
Answer:
-59049/1048576
Step-by-step explanation:
using indices law you just follow the steps
helpppp please asappp
Answer: i may be wrong but is it 4?
-3 = x + 12 It for math if somebody wants to help
[tex]-3=x+12\\\\x+12=-3\\\\x=-3-12\\\\\huge\boxed{x=-15}[/tex]
64.97 divided by 3.2 rounded to the nearest hundredth
Answer:
20.3
Step-by-step explanation:
64.97/3.2
32 goes into 64 2 times 2_.__
32 goes into 9 0 times 20.__
32 goes into 97 3 times 20.3_
32 goes into 1 0 times 20.30
Because there we are rounding to the nearest hundreth no other number matter beond this point.
The answer is 20.3
George paid $8.70 for 3 tacos and 2 sodas. Rita paid $9.80 for 2 tacos and 4 sodas.
a) Each soda costs the same, so how much does it cost for 1 soda?
b) How much does one taco cost?
Set up the system of equations and solve.
Answer:
A) 3 tacos + 2 sodas = 8.70
B) 2 tacos + 4 sodas = 9.80
Multiplying equation A) by -2
A) -6 tacos -4 sodas = -17.40
Then adding in equation B)
B) 2 tacos + 4 sodas = 9.80 results in
-4 tacos = -7.60
tacos cost 1.90 each
sodas cost 1.50 each
Step-by-step explanation:
f (x)=-4x^2+9 find f(-3)
Answer:
[tex]f(x) = - 4 {x}^{2} + 9 \\ \\ f( - 3) = - 4 ({ - 3}^{2} ) + 9 \\ = -4 (9) + 9 \\ = - 36 + 9 \\ = - 27[/tex]
I hope I helped you^_^
Answer:
-27
Step-by-step explanation:
to find f(-3) we must substitute x to -3 in the f(x)= -4x² +9
f(-3) = -4(-3)² +9
f(-3) = -4*9 +9
f(-3) = -36 +9
f(-3) = -27
Find the measure of unknown angle
Answer:
The angle in the upper right quadrilateral corner = 68 degrees because vertical angles are equal.
Angle Y = 68 (opposite quadrilateral angles are equal).
All quadrilateral angles add to 360 so:
68 + 68 + x + z = 360 = 292
angle X + Z = 292
Therefore angle x = angle z = 146
Step-by-step explanation:
Answer:
Step-by-step explanation:
angle Z = 68 degree (being alternate angles)
angle X = 68 degree (opposite angle of a parallelogram is equal)
y + z = 180 degree (sum of adjecent angles of a parallelogram is 180 degree)
y + 68 = 180
y = 180 - 68
y = 112 degree
Solve for x.
3x = -39
x = 3
x = -13
x = -3
[tex]3x=-39\\\\x=-39:3\\\\\huge\boxed{x=-13}[/tex]
The variables x and y are related proportionally. When x = 6, y = 14. Find y when x = 15.
Answer:
=>x=k/y
=>15=k/6
=>k=90
=>9=90/y
=>9y=90
=>y=10
Step-by-step explanation:
please make me brainllist
Two complex numbers are given, where m, n, p, and q are real numbers.
m+ni
p+qi
For what relationship among m, n, p, and q, will be the product of these two complex numbers have only an imaginary part?
This is Algebra 2.
Answer choices:
np mq
mp-np=0
mp+nq=-1
Answer:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
Or:
[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]
Step-by-step explanation:
We are given two complex numbers:
[tex]\displaystyle m + ni \text{ and } p + qi[/tex]
Where m, n, p, and q are real numbers.
And we want to determine the relationship among m, n, p, and q such that the product of the two complex numbers will only have an imaginary part.
Find the product:
[tex]\displaystyle \begin{aligned} (m+ni)(p+qi) &= p(m+ni) + qi(m+ni) \\ &= (pm + pni) + (qmi + qni^2) \\ &= (pm + pni) + (qmi - qn) \\ &= (pm - qn) + i(pn + qm) \end{aligned}[/tex]
Therefore, for the product to have only an imaginary part, the real part must be zero and the imaginary part must not be zero. That is:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
In conclusion, the relationship between m, n, p, and q is:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
Or:
[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]
(Note: I couldn't understand the provided answer choices, but the above answer is indeed correct (and the second equation can be ignored).)
What is 6(x-6)+12=6(x+1)-3x show your work.
in your own words describe the process for adding decimals
PLS HELP THIS AFFECTS MY GRADE ALOT
Answer:
in order to find the answer, when adding decimals, you must count the numbers before the decimal points. Then, remove the decimal point and proceed as you would would adding whole numbers. Once finished, start from the side that has the first number and count up to the amount of numbers you counted before. Then, place the decimal point and simplify if needed.
Step-by-step explanation:
don't know if you want to answer in these exact words but it's a start by making sure you are familiar with the concept
rewrite 10(7g-9h)-4h-8(-h+8g)10(7g−9h)−4h−8(−h+8g) in simplest terms
help me solve this plz
Answer:
sorry but this photo is not clear
Answer:
blur photo cannot answered
PLEASE HELP ASAP QwQ ITS PRE-CALC MATH
Answer:
D
Step-by-step explanation:
They want to get from ln(x) to ln(-x)-9. A subtraction in a function results in every y value to be 9 units lower than originally, so this only leaves options C and D. Then the -x means that where x = 3 would give you ln(3) normallly, now x=-3 can only give you ln(3), meaning all x values are flipped around, which is done by reflecting in the y axis. This means answer D is correct
Answer:
Yea The Answer Is D ^w^
Step-by-step explanation:
Have a great day!
