On solving the provided question, we can say that the solution of the System of Equation 3000 + 500x = 1000*
What is System of Equation ?A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.
A system of equations consists of two or more equations and looks for common answers. "A collection of equations fulfilled by the same set of variables is called a system of linear equations."
The point provides a singular solution to the system of equations if the two lines cross at the same location. There are an endless number of solutions in the situation when the two lines meet, and there is none in the case where the two lines are parallel.
The equation for Appleville is
3000 + 500x, in x years after the year 2000
The equation for Bananaville is
1000* , in x years after the year 2000
The solution of the equations
3000 + 500x = 1000*
To learn more about System of Equation refer to :
brainly.com/question/29291137
#SPJ1
Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).
f(x) = 4x + 11x2 - 104x + 105 = |
(Factor completely.)
Answer:
f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5)
Step-by-step explanation:
f(x) = 4x^3 + 11x2 - 104x + 105
has the coefficients {4, 11 -104, 105}. We perform synthetic division using the given -7 as divisor:
-7 / 4 11 -104 105
-28 119 -105
-----------------------------------
4 -17 15 0
Since the remainder is zero (0), we have shown that -7 is a zero of f(x). The coefficients of the quotient (above) are {4, -17, 15}. Let's try factoring the corresponding polynomial again using synthetic division. Start out by using 5 as divisor and determining whether or not the remaindeer is zero:
5 / 4 -17 15
20 15
-------------------------
4 3 30 No, the remainder is 30 and so 5 is not a
root of this quadratic. Try the divisor 3 instead:
3 / 4 -17 15
12 -15
---------------------------
4 -5 0 Yes, the remainder is 0 and so 3 is a root.
Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:
f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5). Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.
Examine the following table.
Does this table represent a probability distribution?
Explain your answer.
a. Yes, because the sum of the probabilites is less than one.
b. Yes, because the sum of the probabilities is more than one.
C. No, because the sum of the probabilities is more than one.
d. No, because the sum of the probabilities is less than one.
Answer:
the answer is c
Step-by-step explanation:
edge 2020
The correct option is (C). No, because the sum of the probabilities is more than one.
What is probability distributionIn mathematics, a probability distribution is a function that expresses the likelihood of many possible values for a variable. Graphs and probability tables are common ways of displaying probability distributions.
In the given table, the probabilities are,
P(x) = 0.2, 0.3, 0.4, 0.1 and 0.05.
The sum of the probabilities = 0.2 + 0.3 + 0.4 + 0.1 + 0.05
= 1.05
Since, the sum of the probabilities is more than one, therefore, the table does not represent the probability distribution.
To know more about Probability distribution on:
https://brainly.com/question/14210034
#SPJ5
!!!! Rectangle A’B’C’D is the image of rectangle ABCD after which of the following translations
Answer:
C
Step-by-step explanation:
For the equation 3(7+x)=3x+k, what value of k will create an equation with infinitely many solutions?
Answer: k = 21
Step-by-step explanation:
3(7 + x) = 3x + k
21 + 3x = 3x + k
21 + 3x - 3x = 3x + k - 3x
k = 21
School A has graduated 1,700 students and graduates
50 students every year. School B has graduated 600
students, but graduates 150 every year. How many years (Y)
will it be before School B has as many graduates as School A?
Answer:
the answer is 11 years
Step-by-step explanation:
if school A is graduated 50/years,
the graduated in 11 years is 550
added of graduated 1,700 in 550 is 2,250
if school B is graduated 150/years,
the graduated in 11 years is 1650
added of graduated 600 in 1650 is 2,250
so School A and B is to be equal in 11 years
Helppppp plsss
180 35 what is x
Find the equation in general form of the circle whose center is at (0,3) and
passing through the point (-2,1).
Answer:
5.0
Step-by-step explanation:
Jimarcus plans to build a free fence 5 1/3 yards long at the back of his garden. How many 2/3- yard sections of fence will he need
Answer:
8
Step-by-step explanation:
Jimarcus plans to build a fence of 5 1/3 yards longs
He want to divide it into 2/3 yard sections
Therefore the number that will be produced can be calculated as follows
= 5 1/3 ÷ 2/3
= 16/3 ÷ 2/3
= 16/3 × 3/2
= 16/2
= 8
An orchand has 8 times more apple trees than pear trees. There are 981 trees in all. How many more apple trees are there
Answer:
763
Step-by-step explanation:
there are 763 more apple trees than pear trees
Step-by-step explanation:
so, first we write the words into equations.
8P = A because there are 8x apples per x pear, so to make it equal we must multiply pears by 8. P+A = 981. replacing "A" in the second equation with "8P" to get P+8P=981=9P divide both sides by 9 to get 109 pear trees. knowing this we can get 981-109=A=872 apple trees. the problem asks for A-P which we can replace the numbers to get (872)-(109)=763 more trees
Answer:122.625
Step-by-step explanation:981 divided by 8 equals 122.625
The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they've scored the following points.
84, 67, 74, 87, 67, 73
What is the mean of their scores?
20
67
73.5
75.3
Answer:75.3
Step-by-step explanation:
Add all the numbers then divide by how many numbers their are
Answer:
75.3
Step-by-step explanation:
You add all the numbers together and you get 452. Then you you divide 452 by how many numbers are in the set which is 6 and you get 75.2 but since there is 75.3 but no 75.2, 75.3 is your anwser.
Hope this explains a lot!!!!!!!!!!!!!!
How many 3/4 pound weights can be made from 6 pounds of steel?
Answer:
8
Step-by-step explanation:
What is is this graph representing??
A. Linear
B. Exponential
C. Neither
i will give brianlist
Answer:
Hello! :) have a good day!
(10x+6)4 = 40x +24
What’s the slope of line 1
Answer:
the slope in line 1 is a
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
→ Utilise the gradient formula
(y₂ - y₁) ÷ (x₂ - x₁)
→ Substitute in the numbers
(2 - -6) ÷ (1--1)
→ Simplify
4
A landscaping company estimates the price of a job,in dollars, using the expression 60 + 12nh, where n is the number of
landscapers who will be working and h is the total number of hours the job will take using n landscapers. Which of the
following is the best interpretation of the number 12 in the expression?
A The company charges $12 per hour for each landscaper.
B A minimum of 12 landscapers will work on each job.
The price of every job increases by $12 every hour.
D Each landscaper works 12 hours a day
Solve this literal simultaneous equation for x and y.
[tex]ax+by=c[/tex]
[tex]bx+ay=c[/tex]
Answer:
The answer is below
Step-by-step explanation:
Firstly, let us find the value of x. Multiply the first equation by a and the second equation by b to get:
a²x + aby = ca (3)
b²x + aby = cb (4)
Subtract equation 4 from equation 3 to get:
x(a² - b²) = c(a - b)
but a² - b² = (a + b)(a - b)
x(a + b)(a - b) = c(a - b)
x(a + b) = c
[tex]x=\frac{c}{a+b}[/tex]
Secondly, let us find the value of y. Multiply the first equation by b and the second equation by a to get:
abx + b²y = cb (5)
abx + a²y = ca (6)
Subtract equation 5 from equation 6 to get:
y(a² - b²) = c(a - b)
but a² - b² = (a + b)(a - b)
y(a + b)(a - b) = c(a - b)
y(a + b) = c
[tex]y=\frac{c}{a+b}[/tex]
write an equation for a line perpendicular to y=-2x+1 and passing through the point (-4,3)
Answer:
Step-by-step explanation:
The reference line has a slope of -2. A perpendicular line will have a slope, m, that satisfies
-2m=-1, so it will have a slope of 1/2 then our line y=mx+b becomes
y=x/2+b, using point (-4,3) we have
3=-4/2+b
3=-2+b
b=5 so our line is
y=x/2+5 or more neatly
y=(x+10)/2
What is 50% of 82 ? Please help !!
Answer:
The answer is 41
Step-by-step explanation:
lee el texto y sustituye las palabras resaltadas por frases adverbiales que expresen temporalidad
Answer:
............. ahi esta la respuesta
-5 = x - 5
Solve the following equation
Answer:
0
Step-by-step explanation:
I NEED HELP ASAP WILL GIVE BRAINLYEST
Answer: D. 25
Step-by-step explanation:
Answer:
the answer is 25
Step-by-step explanation:
Mr. Patel bought lunch at a restaurant for $7.35. If he paid with a $10.00 bill, how much change did he get back?
A.
$2.55
B.
$2.65
C.
$3.35
D.
$3.65
Answer:
b. $2.65
Step-by-step explanation:
$10.00 - $7.35 = ?
$10.00 - $7.35 = $2.65
Answer:
your answer would be b. $2.65
Which of the following is a factor of 7x2 + 42x - 49
x2 + 49
x+7
X-7
x+ 1
Answer:
[tex]x + 7[/tex]
is the answer because 7×2+42x-49
OML PLEASE HELP! GIVING BRAINLIEST PLEASEE. Instruction are to answer all 3 questions naming their angle 4 ways. PLEASE
Answer: where is the image if there is ment to be one
Step-by-step explanation:
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
A.What’s the difference in height between the pelican and the heron?
B.What’s the distance in height between the pelican.
C.what’s the difference in height between the pelican and the trout.
D.What’s the distance in height between the pelican and the trout.
Answer:
Step-by-step explanation:
Your answer
A = 73
B= 33
C = 40
D = 40
Mark it as Brainlist answer. Follow me.
PLease help asap!!! :)
evaluate the expression and enter your answer below
5x(4+5)-7^2
It's 5 times not X and 7 to the power
Answer:
hope it helps u
hope u find it helpful
the city of luckett is pilling rock salt for use during ice storms. if the pile from last year is 29 feet high and 14 feet are added this year, how high is the pile of rock salt?
29 + 14 = 43
The pile of rock salt is 43 feet high
Which expression is equivalent to 3x/x+1 divided by x + 1?
Answer:3x+4/x+1
Step-by-step explanation:
The height of 5 boys is 5.4 ft, 6.12 ft., 7.02 ft. 4.9 ft, and 6.25 ft. What is the average
height of these 5 boys?
What are the operation to solve the problem?
pls answer
Wll not just this question, but whenever you need to find average, you have to:
Wait, for example let's take ur question:
1st step we will add up all the values aka heights:
5.4+6.12+7.02+4.9+6.25=29.69
And then how many values did you take???
Its, 5 values
1st value= 5.4
2nd value=6.12
aaand so on....
However, then we will have to divide the sum by no.of values
29.69÷5=5.938
Aaand this is your FINAL ANSWER
Done!!!!
Hope I helped you!!!
Step-by-step explanation:
For the average height of fhe boys:
[tex] \frac{5.4ft + 6.12ft + 7.02ft + 4.9ft + 6.25ft}{5} \\ = 5.938 \: ft[/tex]
In solving for the average height, we used addition and division operations.