Answers
Answer: y=x-1
General equation of linear function: [tex]y=mx+b[/tex]
A(-1;0); x=-1, y=0
B(0;-1); x=0, y=-1
Let's solve the system of equations
[tex]\displaystyle\\\left \{ {{0=-1m+b} \atop {-1=0x+b}} \right. =>b=-1=>0=-m-1;m=-1[/tex]
Related Questions
please help!!! :( i will give brainliest answer
Answers
Answer:
D
Step-by-step explanation:
a triangles angles have to add up to 180 degrees
p.s.I hope this helps
In what real-world scenario do we use systems of equations?
1.What twenty-first century task does this tool help us manage? Explain how your tool is used for this task.
2. In what field or career would your tool be useful for and how? Please explain.
Answers
The systems of equations are known to be complex. We often use systems of equations in real-world scenario such as when calculating or thinking if one will make more money at one job than the other, here we look into variables such as wages, benefits and commissions, etc.
What twenty first century tasks systems of equations handles?They are used to calculate the amount of tax that is charge to people. They also help man to measure and understand the real- world situations and happenings.
The field or career that Equations are known to be widely used are the engineering profession. Chemical engineers, civil engineers, electrical engineers, etc. often uses it in construction of building, lighting a place, etc.
The Systems of equations are often applied in the real world by economists and entrepreneurs to known the time of equality of supply and demand.
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QUESTION 1: TRANSPORT Mr Dlamini transport people between Butterworth and East London using a bus which has a capacity of 100 people. The transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre. On a particular day the bus was full with passengers from Butterworth. In each and every kilometre there was a passenger getting off while no new passenger entered in the bus. Mr Dlamini was calculating total money in his hand after each passenger was getting out. The total amount he has after each stop can be written as a series as follows: S. = 8 + 10 + 12 + 14 +... Use the series to calculate the following questions 1.1 (1) Term 2 (T2) = Sum of first two terms (S2) (2) (ii) Express T2 in terms of S, and S2. (1)
Answers
From the series, it can be deduced that the sum of the first two terms will be 18.
How to calculate the seriesFrom the information given, it was stated that the transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre.
The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:
= 8 + 10
= 18
Expressing T2 in terms of S, and S2 will be T2 = S + S2.
Learn more about arithmetic series on:
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In each of the following, solve for X.
Answers
Answer:
x = 6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{MO}{PR}[/tex] = [tex]\frac{MN}{PQ}[/tex] ( substitute values )
[tex]\frac{4+x}{5}[/tex] = [tex]\frac{x-2}{2}[/tex] ( cross- multiply )
5(x - 2) = 2(4 + x) ← distribute parenthesis on both sides
5x - 10 = 8 + 2x ( subtract 2x from both sides )
3x - 10 = 8 ( add 10 to both sides )
3x = 18 ( divide both sides by 3 )
x = 6
24 dogs to 56 cats
In the simplest form
Answers
Answer:
Simplify them to the lowest.
What's the GCF( Greatest Common Factor). It's 8. So divide both sides by 8.
24/8 = 3
56/8 = 7
so it's
3 dogs to 7 cats
Step-by-step explanation:
Answer:
3 dogs to 7 cats
Step-by-step explanation:
Find the Greatest Common Factor of the two numbers- if you don't know what that means, it means to find the biggest number that both numbers can be divided by. Basically, it's like simplifying a fraction.
:) Hope this helps!
hello please help me need aanswer
Answers
[tex]\bold{\huge{\blue{\underline{Solution}}}}[/tex]
In Figure 1 :- In figure 1 , we have given everything we don't need to determine anything in figure 1 In Figure 2 :- Here, we have to determine the measure of sides ,braces and angles with least number of known measures,Let's start ,
From the figure, we can assume the beam forms as AD, BC, EF , GH and so on.
Therefore,
[tex]\sf{ ABCD , AEFD, AGHD.. so \:on similar\: to \:each \:other }[/tex]
So,
[tex]\sf{ Angle\:BAD = Angle\:EBC = Angle\:GEF}[/tex]
Or,
[tex]\sf{ Angle\: ADC = Angle\:BCF = Angle\: EFH }[/tex]
Now, By using similarity theorem we can determine their sizes, braces and angles that is,
[tex]\sf{\red{ AD/BC = AB/AE = CD/CF = BC/EF}}[/tex]
[tex]\bold{\huge{\blue{\underline{Answers :- }}}}[/tex]
Answer 1 :-
For answering the above questions we use knowledge and practices regarding the questions we can do the activity by making figures of unknown sides by assuming it in the form of x, y.so that we can find the known values.
Answer 2 :-
The best way of solving the above questions is that it is already given in the question that the beam is symmetrical so, here we can use similarity theorem.
Answer 3 :-
It necessary to learn about trapezoid and it's properties because if we don't know the properties and what is trapezoid then we will not be able to answer the given question.
Some properties of trapezoid
the base angles of isosceles triangle are equal Two sides are parallelAnswer 4 :-
Well, The answer is very easy that if we don't know anything regarding the trapezoid then we will not be able to any question based on it and if we have incomplete knowledge about it then we will able to solve it but we always got incorrect answers most probably.
Leonardo makes the following purchases at the store: 1 backpack for $16. 89 5 spiral notebooks for $1. 19 each 1 pack of mechanical pencils for $3. 68 2 packs of lead refills for $1. 88 each Leonardo has 2 coupons, each for 45 cents off on the purchase of a pack of lead refills. The coupons are applied after tax and the sales tax is 5% of the purchase. If Leonardo paid $30. 89 , then he _____ for his purchase. A. Did not pay enough b. Paid the correct amount c. Paid $0. 04 too much d. Paid $0. 57 too much.
Answers
Leonardo purchases goods at the store of 30.894 and paid $30. 89. Leonardo did not pay enough.
What is percentage ?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
Leonardo makes the following purchases at the
Store: 1 backpack for $16.89, 5 spiral notebooks for $1.19, each 1 pack of mechanical pencils for $3.68, 2 packs of lead refills for $1. 88 each
The total amount of these items is,
[tex]P=1\times16.89+5\times1.19+1\times3.68+2\times1.88\\P=16.89+5.95+3.68+3.76\\P=30.28[/tex]
The coupons are applied after tax, and the sales tax is 5% of the purchase. Thus the amount will be,
[tex]P=30.28+30.28\times\dfrac{5}{100}\\P=31.794[/tex]
Leonardo has 2 coupons, each for 45 cents off on the purchase of a pack of lead refills. Thus, the sum become,
[tex]P=31.794-2\times0.45\\P=30.894[/tex]
Now, Leonardo paid $30. 89 therefore, he did not pay enough.
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I need to know the answer and quick please.
Answers
irrational number: cannot be expressed as a simple fraction
a. [tex]\tt 2-\sqrt{3}:irrational[/tex]
b. [tex]\tt \sqrt{2}\times \sqrt{3}=\sqrt{6}:irrational[/tex]
c. [tex]\tt \sqrt{27}\times \sqrt{3}=\sqrt{81}=9:rational[/tex]
d. [tex]\tt =0\sqrt{7}=0:rational[/tex]
Find the coordinates of B, C, and D given that AB=5 and BC = 10
Answers
Answer:
B = (3, -5)
D = (0, -1)
C = (3, 5)
Step-by-step explanation:
We want to find the coordinates of B, C, and D given that AB = 5 and BC = 10.
Because AB = 5 and BC = 10, we can find the slope of the line using the slope formula:
[tex]\displaystyle \begin{aligned} m & = \frac{\Delta y}{\Delta x} \\ \\ & = \frac{(10)}{(5)} \\ \\ & = 2 \end{aligned}[/tex]
Point A(-2,-5) is on the line. Hence, the equation of the line is:
[tex]\displaystyle \begin{aligned} y-y_1 &= m(x-x_1) \\ \\& = y-(-5) = 2(x-(-2)) \\ \\ y + 5 & = 2x+4 \\ \\ y & = 2x-1 \end{aligned}[/tex]
Because AB is 5, B is simply A shifted rightwards five units. Hence:
[tex]\displaystyle B = (-2+5, -5) = (3, -5)[/tex]
At Point D, x = 0. Hence:
[tex]\displaystyle y = 2(0) -1 = -1[/tex]
Thus, D is at (0, -1).
B and C are collinear. Hence, the x value of C is 3:
[tex]\displaystyle y = 3(2) - 1 = 5[/tex]
Therefore, C is at (3, 5).
i really dont know this question help please
Answers
Answer:
88
Step-by-step explanation:
x + 49 = 137 (exterior angle of triangle is equal to sum of its opoosite two interior angles)
x = 137-49
so, x = 88
I think im correct ? please help am i?
Answers
you are wrong, the correct answer is x^2 - 16
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answers
Answer:
I believe it is 12 I can't remember fully but I know I've done this before
And if you can right now please give brainliest!
Answer:
6
Step-by-step explanation:
Once again I'm not going to explain in-depth as it is the same method as the other questions I explained!
Step 1:
16/8=2
Step 2:
12/2=6
Therefore the missing AC side should be 6 because the triangles use a factor of 2!
If you deposit $320 at a 10% interest rate and will not make any additional deposits or withdraws, how much will you have at the end of 4 years?
Answers
Answer:
$468.582
Step-by-step explanation:
Hope this helps! Please mark me as brainliest so I can level up :)
Which is a factor of x2 – 9x 14? x – 9 x – 2 x 5 x 7.
Answers
Answer:
Step-by-step explanation:
The 2 factors of x^2 - 9x + 14 are (x - 7) and (x - 2) because -7 + -2 = -9 and -7 x -2 = 14.
The factors of the quadratic expression x² – 9x + 14 is (x - 7)(x - 2) option (B) (x - 2) is correct.
What is a quadratic function?Any function of the form [tex]\rm f(x) =ax^2+bx+c[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.
It is given that:
The quadratic expression is:
= x² – 9x + 14
Using factor method:
= x² – 7x - 2x + 14
= x(x - 7) - 2(x - 7)
= (x - 7)(x - 2)
The factors of the quadratic expression x² – 9x + 14 is (x - 7)(x - 2)
Thus, the factors of the quadratic expression x² – 9x + 14 is (x - 7)(x - 2) option (B) (x - 2) is correct.
Learn more about quadratic function here:
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Estimate 1 3/4+4 7/8 to the nearest whole number.
Answers
helpppppooooooppooopp
Answers
Answer:
13 units
Step-by-step explanation:
-25, -12
|-25| - |-12|
13 units
Hope it helps! :)
3147 divided by 5 with quotient and remainder?
Answers
Answer:
629r2
Step-by-step explanation:
Hope this helped!
Solve for x. 7x−5<9 Graph the solution.
Answers
Answer:
An open circle on 2, with a line going to the left.
Step-by-step explanation:
7x − 5 < 9
+ 5 + 5
7x < 14
/7 /7
x < 2
This is an open circle on 2, with a line going to the left.
Hope that helps!
what is the answer to this question: Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours. How many hours did each person volunteer over the weekend?
Answers
Answer:
Tadeo: 12 hoursDylan: 2 hoursStep-by-step explanation:
We can let d represent the number of hours that Dylan volunteered. Then Tadeo volunteered for 6d hours, and their total hours were ...
d +6d = 14
7d = 14 . . . . . . collect terms
d = 2 . . . . . . . divide by the coefficient of d
6d = 6(2) = 12
Tadeo volunteered 12 hours; Dylan volunteered 2 hours.
help ??!!! pleaseee loll
Answers
Point of Intersection
At this point is where both lines have the same x and y values
if 14 songs were 9.38 dollars how much would one be
Answers
Answer:
each song would be 67 cents (0.67)
Step-by-step explanation:
9.38/14=0.67
Check whether the given value of x is a solution to the equation. Justify your answer. 1/3(x+4)=20. x=56.
Answers
Answer:
True, it is a solution
Step-by-step explanation:
First, let’s distribute 1/3 to x and 4
When we do this, we get:
1/3x+4/3=20
Now, we can solve the equation!
Subtract 4/3 from each side of the equation to isolate the x
We now have 1/3x=18 2/3
Now we divide 1/3 on each side to isolate the x (this is the same as multiplying by 3/1 on each side)
This gets us to x=56
So it is true
Hope this helps! (Please award branliest if possible)
The first year a baseball team debuted, one ticket cost 25$ After that, the price increased 2$ every year Write a linear equation in slope-intercept form that can be used to model the cost y of a ticket x years after the first year.
Answers
Answer:
Equation: y = 2x + 25
Step-by-step explanation:
Here x determines the number of year. For the first year,we will see ( 2 * 1 ) = $2 increase. In the second year, ( 2 * 2 ) =$4 increase and like this goes on, whereas the $25 being constant. "y" determines the total cost for each year.
Therefore the equation can be made: y = 2x + 25
Equation in slope intercept form
y=mx+by=2x+25Find the common ratio r for the given geometric sequence and find the next three terms.
Answers
Answer:
The common ratio is -2
Next three terms are 18, -36, and 72
Step-by-step explanation:
The common ratio is -2 since each consecutive term is being multiplied by -2
The next three terms are -9(-2) = 18, 18(-2) = -36, and -36(-2) = 72
Answer:
A -0.5
B 4.5, -2.25, 1.125
Step-by-step explanation:
A: 72× -0.5= -36
-36× -0.5= 18
18× -0.5= -9
B multiple everything by -0.5
PLS HELP!! I WILL GIVE BRAINLIEST :)
Here is a number puzzle.
Fill in each blank with a number so that every row,
column, and diagonal adds up to the same total.
Answers
Answer:
See the attached table.
Step-by-step explanation:
Each row, column, and diagonal all add up to six.
[tex]\left[\begin{array}{cccc}9&-5&-4&6\\-2&4&3&1\\2&0&-1&-5\\-3&7&8&-6\end{array}\right][/tex]
Hope that helps!
Answer:
*
Step-by-step explanation:
9 -5 -4 6
-2 4 3 1
2 0 -1 5
-3 7 8 -6
A wire 90 cm long is cut into two pieces. One
piece is twice as long as the other piece. How
long is the shorter piece of wire?
Answers
Answer:
30 cm
Step-by-step explanation:
30+60=90
30×2=60 so 30cm is the answer.
Step-by-step explanation:
If one price is 2 times the other one, that means it's equal to 2 of those parts. Let's decide our total wire by three to account for the larger part.
[tex]90 \div 3 = 30[/tex]
Now we know the shorter piece is 30 cm. To find the longer piece, multiply the shorter piece by 2.
[tex]30 \times 2 = 60[/tex]
Recap:
Shorter Piece: 30 cm
Longer Piece: 60 cm
That's all there is to it! hope this helps.
help
There are 230 milliliters of water in a beaker. How many liters are in the beaker?
A. 0.023 L
B. 230 L
C. 2.3 L
D. 0.23 L
Answers
find the nearest degree
Answers
Answer:
Nearest angle is 30°.Step-by-step explanation:
There are 3 angles:
90° and 60°.There is 1 missing angle:
x°Subtract 180°:
180 - 60 = 120 - 90 = 30.Missing angle found!
Missing angle:
30°You select a marble without looking and then put it back. If you do this 36 times, what is the best prediction possible for the number of times you will pick a blue marble?
Answers
Answer:
12 times
Step-by-step explanation:
There are 3 blue marbles and 9 marbles total. The probability of selecting a blue marble is 3/9, reduced it is 1/3.
Multiply the probability by 36
[tex]\frac{1}{3}[/tex] × [tex]\frac{36}{1}[/tex]
[tex]\frac{36}{3}[/tex]
12
I need help with this
Answers
Answer:
the answer is 406 L times H times W
Answer:
406 Sorry if wrong!
Step-by-step explanation:
Volume=length x width x height