A linear equation is an equation in which each term has at max one degree. The solution of the system of linear equations is (2,6).
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form y=mx+c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
Solving the second equation for x,
x + 5y = 32
x = 32 - 5y
Now, substitue the value of x in the first equation,
2(32 - 5y) + 5y = 34
64 - 10y + 5y = 34
-5y = -30
y = 6
Substitue the value of y in any one of the equation,
x + 5y = 32
x + 5(6) = 32
x = 2
Hence, the solution of the system of linear equations is (2,6).
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Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 months
Answer:
$49.297
Step-by-step explanation:
21.5% x 3
divide answer by $76.43
leaves you with how much interest you have earned in 3 months.
what is the equation of a line that passes through the points (0,0) and (5,2)
Answer:
y = 2/5x
Step-by-step explanation:
in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:
y = mx + 0
in order to find the slope, we'll do y2-y1 / x2 - x1:
2-0
5-0
m is 2/5, so the answer is:
y = 2/5x
help plzz
2decimal places
165 x 0.38²
Answer:
23.83
Step-by-step explanation:
lil bit hard
x+2y=5
3x−5y=−2
Friend, the answer is: x= 21/11, y=17/11
13. Xander and Kennedy have a bet to see who can get more "friends" on a social media side after 1 month. Kennedy
has 11 more friends than Xander when they start the competition. After much work, Kennedy doubles her amount
of friends and Xander quadruples (4 times) his. In the end they have a total of 232 friends.
Answer:
Xander has 140 friends
Kennedy has 92 friends
Step-by-step explanation:
Let x represent # of friends Xander has at the start
Let x+11 represent # of friends Kennedy has at the start
Let 2(x+11) rep. the final # of friends Kennedy has
Let 4x rep. the final # of friends Xander has
Total = 232
So we just need to solve for x:
2(x+11) + 4x = 232
2x + 22 + 4x = 232
6x = 210
x = 35 < - This means that xander started with 4 friends.
Sub x to find friends for each:
4x = ?
4(35) = 140 friends
2(x+11) = ?
2(35+11) = 92
generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19
what value should be placed in the second column for the range 6-10?
a. 2
b. 3
c. 5
d. 1
Answer:
D: 1
Step-by-step explanation:
There's only one number there between 6-10.
How many solutions does the following equation have? 10x-1=10x+4
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
10x-1=10x+4
10x-10x=4+1
x=5
sum out war world 1 in a very short summary
Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.
Hope that helps
I'm having trouble. Can someone answer?
Answer:
okay wait
Step-by-step explanation:
ingrid have the store clerk 70 dollars to pay for her purchase. Find the expression that represents the amount of change ingrid will get back. x - 70, 70/x, 70 - x, 70 + x
Answer:
70-x
Step-by-step explanation:
The expression which represents the change that Ingrid will get back for purchasing for $x will be 70 - x thus option (C) is correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
Amount of money that Ingrid have = $70
Amount of money Ingrid purchased = $x
Change back = 70 - x
Hence "The equation that describes the change Ingrid will receive for spending $x is 70 - x".
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the graphs show information about the different journeys of 4 people
Answer:
sorry id like to help but i need more info.
Step-by-step explanation:
i hope this helps!
Give me answer plz !!!
Answer:
c.-2.5 ,because[2.5]=2.5
Step-by-step explanation:
I hop this is fine
Answer:
B part
Step-by-step explanation:
2.5 because |2.5| = 2.5 and it's never negative.
Hope it helps :)
Describe fully the single transformation which takes shape A to shape B
Answer:
Translation down by 1 then reflection over Y axis.
Step-by-step explanation:
The sum of -14 and a number is positive. Identify a possible value for that number
Explain your selection
Answer:
15
Step-by-step explanation:
Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.
Expand the following expressions and write in standard form. Show your work.
a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)
someone pls help me!!!!
Answer:
-2
Step-by-step explanation:
The interval [-6. -4] refers to x values.
At x = -6, in the line in the middle of -4 and -8, y = 0 at the x axis
At x = -4, y = -4. We know this because when the function crosses x = -4, y = -4 at that point.
The average rate of change is equal to (change in y)/ (change in x) = (yfinal - yinitial) / (xfinal - xinitial) (or the other way around in terms of final and initial)
= (-4 - 0) / (-4 - (-6)) = -4 / (-4 + 6) = -4/2 = -2
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
open circle on 7 shaded to the right
Help, this question is confusing me
Answer: They are all equations except c, which is a formula.
Step-by-step explanation:
The Raitio of 20:360
Answer:
If you need it as a fraction then it is 1/18
Step-by-step explanation:
PLEASE HELP ASAP I NEED ANSWER IN LESS THAN 9 HOURS
Answer:
I dont really know if this is right, but for 5, y=5. I don't know what 6 is. Sorry.
The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.
Answer:
d = 7
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Give a₁₀ = 67 and a₁ = 4 , then
a₁ + 9d = 67
4 + 9d = 67 ( subtract 4 from both sides )
9d = 63 ( divide both sides by 9 )
d = 7
Plzzzzz helpnmeeee plzzzz
find the vertices of the image after the given transformation (x,y)—> (2x, 1/3y)
Answer:
Step-by-step explanation:
A( - 1 , - 3 ) ------> A' ( - 2 , - 1 )
B( 4 , - 3 ) ------> B' ( 8 , - 1 )
C( 4 , 3 ) ------> C' ( 8 , 1 )
D ( - 1 , 3 ) ------> D' ( - 2 , 1 )
Explain how I got this wrong please
Answer:
x = 9
Step-by-step explanation:
Each angle equals 60 since it is an equilateral triangle
7x-3 = 60
add 3
7x = 63
divide by seven on both sides
x = 9
I hope this helps!!
!BRAINLIST!
Sebastian works as a conservation scientist. His current project involves calculating how many times an oyster bed can be harvested safely in one year. One task Sebastian might do to complete his project is:
A.
travel deep underground to take soil samples in a mine.
B.
meet with large cereal companies to take test the safety of their products.
C.
collect soil and water samples in a bay.
D.
climb into an attic to inspect for termite damage.
Answer:
meet with large cereal companies to take test the safety of their products.
Step-by-step explanation:
Diving by himself into deep sea may be harmful.Cereal companies are trained and experienced in it They can easily help him to observe the oysters deep under the sea.60 Point Question Answer ASAP! Brainliest to best/first answer
Step-by-step explanation:
the change rate between the data points gives us the print rate.
so,
(f(x2) - f(x1)) / (x2 - x1)
starting with x1 = 10 and x2 = 15 we see
(133 - 98) / (15 - 10) = 35/5 = 7
that means he is printing 7 pages per minute.
we see that we have the same difference (35 prints) for every following 5-minute interval.
so, that is the confirmed print rate.
and yes, the amount is increasing, of course.
after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.
so, he started with 98-70 = 28 flyers before actually printing new ones.
ASAP
answer this please
as percentages
Answer:
Step-by-step explanation:
5/6= 83.33%
9/11= 81.81%
1 3/7= 142.85%
Answer:
(x) 83.(3)%
(xi) 81.(81)%
(xii) 142.(857142)%
Step-by-step explanation:
The thing to do is perform the division and write it as percentages.
Please note that all 3 of those are infinite fractions, so
83.(3) means 83.33333333333333333...
81.(81) means 81.8181818181818181...
142.(857142) means 142.857142857142857142857142857142...
If you wanted to round to nearest % or something, you can do that.
Eg. rounding to 2 places after the period:
83.(3)% ~= 83.33%
81.(81)% ~= 81.82%
142.(857142)% ~= 142.86%
Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1) O. f(x) = (x + 5) * (x + 1) ^ 2 * (x - 1) D. f(x) = (x - 5) * (x - 1) ^ 2 * (x - 1)
The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
From the graph, we have the following highlights
The graph crosses the x-axis at x = -1 and x = 3The graph touches the x-axis at x = -2The above highlights mean that:
The function has a multiplicity of 1 at x = -1 and x = 3The function has a multiplicity of 2 at x = -2So, the function of the polynomial is:
[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]
Assume a = 1.
So, we have:
[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]
Multiply
[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]
Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
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6x+a= 5(x+f) make x subject
Answer:
x = 5f - a
Step-by-step explanation:
6x + a = 5(x + f)
6x + a = 5x + 5f
x = 5f - a
3.8 : (4c+3) = 2 : 2/19I’d appreciate itCorrect answer will be named brainlist
Answer:
c = -0.7
Step-by-step explanation:
It looks like you have the proportion ...
[tex]\dfrac{3.8}{4c+3}=\dfrac{2}{\left(\dfrac{2}{19}\right)}\\\\0.4=2(4c+3)\qquad\text{cross multiply}\\\\0.4=8c+6\qquad\text{eliminate parentheses}\\\\-5.6=8c\qquad\text{subtract 6}\\\\\boxed{c=-0.7}\qquad\text{divide by 8}[/tex]
Answer:
c = -0.7
Step-by-step explanation:
[tex]\rm⇢ \: \: \frac{3.8}{(4c + 3)} = \frac{2}{( \frac{2}{19} )} [/tex]
[tex]\rm⇢ \: \: 2(4c + 3) = 3.8( \frac{2}{19} )[/tex]
[tex]\rm⇢ \: \: 8c + 6 = 0.4[/tex]
[tex]\rm⇢ \: \: 8c = - 5.6[/tex]
[tex]\rm⇢ \: \: c = - 0.7[/tex]