Answer:
The value of [tex]f = x_{1}+10\cdot y_{1}+x_{2}+10\cdot y_{2}[/tex] is 317.
Step-by-step explanation:
Let the system of nonlinear equations be:
[tex]x\cdot (y-1) = 180[/tex] (1)
[tex]y\cdot (1+x) = 208[/tex] (2)
From (1), we clear [tex]x[/tex]:
[tex]x = \frac{180}{y-1}[/tex]
Let apply this resulting expression in (2):
[tex]y\cdot \left(1+\frac{180}{y-1} \right)= 208[/tex]
[tex]y\cdot \left(\frac{y-1+180}{y-1} \right) = 208[/tex]
[tex]y\cdot \left(\frac{y+179}{y-1} \right)=208[/tex]
[tex]y\cdot (y+179) = 208\cdot (y-1)[/tex]
[tex]y^{2}+179\cdot y = 208\cdot y-208[/tex]
[tex]y^{2}-29\cdot y+208 = 0[/tex]
By the Quadratic Formula we obtain the solution of the second order polynomial:
[tex]y_{1} = 16[/tex] and [tex]y_{2} = 13[/tex]
And the respective values of [tex]x[/tex] are, respectively:
[tex]y_{1} = 16[/tex]
[tex]x_{1} = \frac{180}{y_{1}-1}[/tex]
[tex]x_{1} = \frac{180}{15}[/tex]
[tex]x_{1} = 12[/tex]
[tex]y_{2} = 13[/tex]
[tex]x_{2} = \frac{180}{y_{2}-1}[/tex]
[tex]x_{2} = \frac{180}{12}[/tex]
[tex]x_{2} = 15[/tex]
If we know that [tex]x_{1} = 12[/tex], [tex]y_{1} = 16[/tex], [tex]x_{2} = 15[/tex] and [tex]y_{2} = 13[/tex], then the value of [tex]f = x_{1}+10\cdot y_{1}+x_{2}+10\cdot y_{2}[/tex] is:
[tex]f = 12+10\cdot (16)+15+10\cdot (13)[/tex]
[tex]f = 317[/tex]
The value of [tex]f = x_{1}+10\cdot y_{1}+x_{2}+10\cdot y_{2}[/tex] is 317.
Identify how many rulers Rome had between A.D.180 and A.D.284.
Answer:
29
Step-by-step explanation:
What is the percent of change from 8,000 to 2,000?
Answer:
75% markdown
Step-by-step explanation:
If I am not mistaken, you can input this into everyday values like a shirt.
For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.
Or so I think, don't quote me on this.
Which of the following methods of timekeeping is the least precise?
A. Using a Calendar
B. Using a stopwatch
C. Counting your heartbeats
D. Observing the seasons
Answer:
na D cause imagine always observing the seasons bro
write the equation of the line AB with A (3,4) B(6,8)
Help pleassse :)
Answer:
y = (4/3)x.
or in standard form it is
-4x + 3y = 0.
Step-by-step explanation:
The slope m = (8-4) / (6-3)
= 4/3
Using the point-slope form of a line:
y - y1 = m(x - x1)
We use m = 4/3, x1 = 3 and y1 = 4:
y - 4 = 4/3(x - 3)
Multiply through by 3:
3y - 12 = 4(x - 3)
3y = 4x - 12 + 12
3y = 4x
y = (4/3) x
or in standard form it is
-4x + 3y = 0.
(x2 +9) - (-7x2 – 3x + 9)
Answer:
8x²+3x
Step-by-step explanation:
A cashier at the local bank expected to serve 12 customers every hour. In the past 15 minutes he served 4 customers. Assuming that the cashier continues to work at the same rate, will he meet his goal?
Answer: yes
yes
Step-by-step explanation: he will do more than his goal because 4x3=12 and 15x3= 45
Given the function:
f (x) = (3 x + 4) minus (2 minus x)
Evaluate for f (5).
Need help with 5 and 6 will give branliest to the first to answer
Answer:
j
Step-by-step explanation:
Answer:
i think the first on is A.
Step-by-step explanation:
What linear function models the table of values?
HELPP WHATS THE ANSWERRR
Answer:
C
Step-by-step explanation:
X can’t have 2 y’s
3/8 divided by 4????
Answer:
um Yess?
Step-by-step explanation:
╱╱▏┈┈╱╱╱╱▏╱╱▏
▇╱▏┈┈▇▇▇╱▏▇╱▏
▇╱▏▁┈▇╱▇╱▏▇╱▏▁
▇╱╱╱▏▇╱▇╱▏▇╱╱╱▏
▇▇▇╱┈▇▇▇╱┈▇▇▇╱
What’s a segment bisector?
Answer:
A segment bisector, always passes through the midpoint of the segment and divides a segment in two equal parts.
Step-by-step explanation:
A segment bisector is something that splits a segment in half.
Like if I had a segment of 4, the segment bisector would cross through the middle and create 2 segments of 2.
CAN SOMEONE SHOW FULL STEPS PLEASEE I BEG YOU ??
Step-by-step explanation:
slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.
y=mx+b
the y-intercept is always be so graphing is now easy
put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical
now to make a equation for a point you put it in y=mx+b.
please mark me brainliest if this helped
Which Inequality is equivalent to the given inequality?
-4(x + 7) <3(1 - 2)
OA. -73 < 22
OB. -77 > -34
OC. -71 < -34
OD. -70 > 22
Answer:
[tex]-7x < 22[/tex]
Step-by-step explanation:
Given
[tex]-4(x + 7) <3(x - 2)[/tex]
Required
Determine its equivalent
[tex]-4(x + 7) <3(x - 2)[/tex]
Start opening the brackets:
[tex]-4x - 28 < 3x - 6[/tex]
Collect Like Terms
[tex]-4x - 3x < 28 - 6[/tex]
Add and subtract like terms
[tex]-7x < 22[/tex]
17 Billie deposited three paychecks, one was $435.20 , one was $ 510.20 and the third one was $ 345.12 plus $142 cash into her checking account Her original balance was $ 225.30. Assuming all the checks clear, how much will be in his checking account after the deposits are made?
Answer:
$1,657.82
Step-by-step explanation:
435.20 + 510.20 + 345.12 + 142 + 225.30 = total checking balance
1,657.82
please help me out here I need it
Step-by-step explanation:
it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y
Answer:
y=2X2-5x+5
Step-by-step explanation:
Please help
Find KL in the image below.
Answer:
KL = 8
Step-by-step explanation:
Based on the midsegment theorem, the length of midsegment KL = ½ of the length of the third segment FH.
Thus:
KL = ½(FH)
FH = 16
Plug in the value into the equation
KL = ½(16)
KL = 8
at bingo Carol won 13 out of 25 games that she played . What percent of the games did she win?? ASAP
Find the exact value of sin-1 √3/2
Answer:
θ= 60° or 120°Step-by-step explanation: if im wrong im srry
which formula represents a substance that contains covalent bonds 1) LiCl 2)CaCl2 3)K2O 4)CO2
Answer:
It is CO2 Number 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
why do you think baby Yoda is awsome admit it you can resist the cuteness of baby Yoda do the math you can't
Answer:
I love baby Yoda.
Step-by-step explanation: His little blushies, his cute little smol body, his yawns and his kawaiiness in general makes you love him. You unconsciously go awwww <3
Answer:
Baby Yoda is indeed very cute
Step-by-step explanation:
They did a very good job with the CGI in the Mandalorian and baby Yoda deserves all the love it is given
PLEASE HELP FAST ILL MARK AS BRAINLIEST
Answer:
the last one
Step-by-step explanation:
Gas mileage is the number of miles you can drive on a a gallon of gasoline.
A test of a new car results in 580 miles on 10 gallons of gas. How far could
you drive on 55 gallons of gas? What is the car's gas mileage?
Answer:
on 55 gallons of gas , you can drive 3,190 miles....the cars gas mileage 58 mpg or miles per gallon
You will visit the nine states below, with the following rather odd rule: you must cross each border between neighboring states exactly once (so, for example, you must cross the Colorado-Utah border exactly once). Can you do it? If so, does it matter where you start your road trip? What fact about graph theory solves this problem?
What is 2 and 1/4 divided by 3/4?
Answer:3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
2 1/4 divided by 3/4 =
9/4 * 4/3 =
36/12 =
3
Point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid. The distance between the two points is ____. (Input numbers and decimal point only, such as 8.2.) (Please walk me through how you got your answer!)
Answer:
[tex] RT = 1.1 [/tex]
Step-by-step explanation:
Distance between R(3, 1.3) and T(3, 2.4):
[tex] RT = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] RT = \sqrt{(3 - 3)^2 + (2.4 - 1.3)^2} [/tex]
[tex] RT = \sqrt{(0)^2 + (1.1)^2} [/tex]
[tex] RT = \sqrt{0 + 1.21} = \sqrt{1.21} [/tex]
[tex] RT = 1.1 [/tex]
Midpoint................
Answer:
EG =7
Step-by-step explanation:
Please mark me brainliest and 5 star
Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex]look \: picture[/tex]
[tex]pls \: mark \: as \: brainliest[/tex]
Let $ 500 be paid at the end of each quarter for 5 years. If the interest is earned rate of 13%, compounded quarterly, find the future value of this ordinary annuity. a. $ 13,782.12 O b. $ 8,223.66 c. $ 21,315.22 O d. non of them e. $ 31,201.08
Answer:
Future value of annuity (FV) = $13,782.12 (Approx)
Step-by-step explanation:
Given:
Periodic payment p = $500
Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)
Number of period n = 5 x 4 = 20 quarter
Find:
Future value of annuity (FV)
Computation:
[tex]Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\[/tex]
Future value of annuity (FV) = $13,782.12 (Approx)
Round 4.645 to the
nearest whole number.
Answer:
the answer is 5
Step-by-step explanation:
Number Rounded to Nearest Whole Number
4.645 5
5.645 6
6.645 7
7.645 8
8.645 9
9.645 10
10.645 11
11.645 12
12.645 13
13.645 14
3. Two balls are drawn in succession without replacement from an urn containing 4 red balls and 3 blue balls. Find the probability mass function (P.M.F.) for the number of red balls draw.
Answer:
X ____ 0 ______ 1 _______ 2
P(x) __ 1/7 _____ 4/7 _____ 2/7
Step-by-step explanation:
Given that :
Number of red balls = 4
Number of Blue balls = 3
Total number of balls = (4 + 3) = 7
Picking without replacement :
Number of picks = 2
1st pick is red :
Probability = (required outcome / Total possible outcomes)
USing combination formula :
nCr = n! / (n-r)! r!
Total possible outcome :
7C2 = 7! / 5!2! = 7*6 / 2 = 42 / 2 = 21
X = number of red
For red = 0;
P(x =0) = required outcome / Total possible outcomes
P(x = 0)
Required outcome : [4C0 * 3C2)]
P(x = 0) = [(4C0 * 3C2)] / 21 = (1*3)/21 = 3/21 = 1/7
P(x = 1)
Required outcome : [4C1 * 3C1)]
P(x = 1) = [(4C1 * 3C1)] / 21 = (4*3)/21 = 12/21 = 4/7
P(x = 2)
Required outcome : [4C2 * 3C0)]
P(x = 2) = [(4C2 * 3C0)] / 21 = (6*1)/21 = 6/21 = 2/7
Hence ;
X ____ 0 ______ 1 _______ 2
P(x) __ 1/7 _____ 4/7 _____ 2/7