Answer:
Step-by-step explanation:
When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.
Solve the systems of equations using the substitution method
{y=2x+4
{y=3x+2
We substitute the y in the top equation with the expression for the second equation:
2x+4 = 3x+2
4−2 = 3x−2
2=== = x
To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:
y= 2x + 4
We plug in x=2 and get
y= 2⋅2+4 = 8
The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.
Example:
2x−2y = 8
x+y = 1
We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:
2x−2y = 8
2x+2y = 2
Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:
(2x+2x) + (−2y+2y) = 8+2
The y-terms have now been eliminated and we now have an equation with only one variable:
4x = 10
x= 10/4 =2.5
Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:
2⋅2.5−2y = 8
5−8 = 2y
−3 =2y
−3/2 =y
y =-1.5
Answer:
1. No, because a system of linear equations in two variables may have, zero, or infinietley solutions.
2. true because the answer of a system is the intersect, not where the lines cross a grid.
3.a. y=2x+4
y=3x+2
2x+4=3x+2
4-2=3x-2
2=x
b.y=2x+4
y=2*2+4=8
c. 2.2.5-2y=8
5-8=2y
=3=2y
-3/2=y
y=1.5
Step-by-step explanation:
answers for teh complete assigment
rationalize the denominator 4√2/4√5
Answer:
answer given in the phot
A number is les than or equal to -11
Answer:
-12 is the answer for this question
Step-by-step explanation:
make me as brainlist
Answer:
[tex]x\leq-11[/tex]
Step-by-step explanation:
Does anyone know how to answer?
Answer:
A, D, F
Step-by-step explanation:
It is convenient to let a calculator or spreadsheet evaluate the function for you. Reflection over the y-axis means x is replaced by -x in the original function definition.
The values that show up on the reflected graph are ...
(-7, -10.206)
(0.5, -0.221)
(9, -0.003)
PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you
Answer:
1/5 so the first option
Step-by-step explanation:
slope
(y2-y1)/(x2-x1)
Please help me 87x89 PLEASE
Answer:
7743 :)
Step-by-step explanation:
the original price of a jacket was $74.00 .A store manager marked the price down by
25 1/2% . By how much was the price reduced?
who is better Green Bay packers or the bears
Answer:
green bay packers all dayyy
Step-by-step explanation:
Please help with this question!!!!
Answer:
what is your question ?
Step-by-step explanation:
If you put $1000 in a savings account that yields an 7% annual rate of interest that is compounded weekly, how much would that be worth in 25 weeks
Answer:
A = $1034
Step-by-step explanation:
The relevant Amount function is A = P(1 + r/n)^(n*t), where r is the annual interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.
There are 52 weeks in a year. Hence, n = 52, and 25 weeks = 25/52 year, or 0.481 year.
The accumulation (value of the savings) would be
A = ($1000)(1 + 0.07/52)^(52*[25/52]), or approximately
A = ($1000)(1.0013)^25, or approximately A = $1034
Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?
Answer:
26
Step-by-step explanation:
Help...(MATH).......
If f(x) = √x and g(x) = 7x + b, then
f(g(x)) = f(7x + b) = √(7x + b)
If the plot of f(g(x)) passes through (4, 6), then
f(g(4)) = √(7•4 + b) = √(28 + b) = 6
Solve for b :
√(28 + b) = 6
(√(28 + b))² = 6²
28 + b = 36
b = 36 - 28
b = 8
Solve for x
−4x+60<72 OR 14x+11<−31
Answer:
14x+11<-31
14x<-42
x=-3
Hope This Helps!!!
The vertices of quadrilateral PQRS are listed.
P(3,7), Q(6,-2), R(0,-4), S(-3,5)
Which of the following is the strongest classification that identifies quadrilateral PQRS?
A.
Quadrilateral PQRS is a rectangle.
B.
Quadrilateral PQRS is a trapezoid.
C.
Quadrilateral PQRS is a square.
D.
Quadrilateral PQRS is a parallelogram.
Answer:
Rectangle
Step-by-step explanation:
Did it on
Option A is correct.
As, Quadrilateral PQRS is a rectangle because it has four right angles.
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
here, we have,
Explanation:
Given:
The coordinate of vertices of quadrilateral PQRS are P(3,7), Q(6,-2), R(0,-4), S(-3,5).
Slope for two points (x1,y1) and (x2,y2) is given by:
m = y1-y2/ x1 - x2
.so, we get,
The slope of PQ is = -9/3 = -3
The slope of QR is = -2/-6 = 1/3
The slope of RS is = -3
The slope of SP is = 1/3
we know that,
The slopes of perpendicular lines are opposite reciprocals.
we get,
∴ all pair of sides has slopes that are negative reciprocals;
this means the figure has 4 right angle, so it is a rectangle.
Therefore, Quadrilateral PQRS is a rectangle because it has four right angles.
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Find the difference of (4.2 x 103) - (2.7 x 103) Show work.
-
Answer:
154.5
Step-by-step explanation:
just inputed the equation in desmos.
Answer: 154.5
Step-by-step explanation:
4.2*103=432.6
2.7*103=278.1
432.6-278.1=154.5
How many solutions does this system of equations
have?
Infinite
None
One
Answer:
Step-by-step explanation:
None
The hint is in the slopes which is the number in front of x. Both equations have a slope of 1/2
The y intercepts are different (4 for the top one 2 for the bottom one). That tells you that you have two lines and not one of top of the other. These two lines never meet, because the slopes are the same. Therefore there are no values that both lines have in common.
That makes the answer none.
2x- 5 >18 +x
necesito ayuda pliss
necesito con resolución
Answer:
x > 23
Step-by-step explanation:
2x - 5 > 18 + x
x - 5 > 18
x > 23
brainliest pls
how do you graph parametric equation on desmos?
Answer:
yes, you can graph parametric equations there. (It's called Desmos, by the way, not “Demos.”) Click on the triple-bar symbol at the top left, which takes you to a drop-down menu. Scroll down that menu until you see the entries for parametric equations. Hope this helps!
Step-by-step explanation:
pls say thx
ankita and her three friends are going to share a three bedroom apartment if the total rent is Rp.r, what is ankitas share
Using proportions, it is found that Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.
This question is solved by proportions, using a rule of three.Considering that there are 4 people and the rent is of x Rp.r, 4 people pay x, how much does Ankita, which is one person, pay?The rule of three is:
4 people - x
1 people - a
Applying cross multiplication:
[tex]4a = x[/tex]
[tex]a = \frac{x}{4}[/tex]
Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.
You can learn more about proportions at https://brainly.com/question/24372153
At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = âŚx⌉ equal? Check all that apply. â€""8 â€""5. 2 â€""1. 7 0 2. 4.
The x-values that will make the output values of the floor and ceiling functions equal are;
Option A: -8
Option D: 0
The complete question is;
At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = ⌈x⌉ equal? Check all that apply.
A) –8
B) –5.2
C) –1.7
D) 0
E) 2.4
When it comes to floor functions and ceiling functions, they are always equal to each other when the x value is an integer.
Now, looking at the giving options the only integers we have are -8 and 0.
Thus, the only values in the options that would make the output values of the floor function and ceiling function equal are -8 and 0.
Read more on floor function and ceiling function at; https://brainly.com/question/7321190
Pls help me with this
Step-by-step explanation:
a)
clearly, A and B are mirrored images of each other around the x-axis.
and the equation of the x-axis is simply
y = 0
b)
this is trickier.
first of all, the mirror line is now vertical and not horizontal.
and where is it ? of course, in the middle between A and B.
how many units are there between A and B ?
I am counting 5. so, the middle between them is 2.5 units.
so, let's go e.g. from A 2.5 units to the right (in the direction of B).
where do we end up ? at x = 0.5
and that is also the equation of the vertical line there.
again
x = 0.5
Which equation represents the line that is perpendicular to and passes through (-12,6)?.
The equation that represents the line that is perpendicular is
3y + 5x = -42
The standard equation of a line in point-slope form is expressed as:
[tex]y-y_1=m(x-x_1)[/tex]
m is the slope of the lne(x1, y1) is any point on the line.Given the equation y = 3/2x + 1, the slope of the line is 3/5The slope of the line perpendicular is -5/3Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:
[tex]y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\[/tex]
Hence the equation that represents the line that is perpendicular is
3y + 5x = -42
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What is the velocity of a car that traveled total of 75 km north in 1.5 hours?
Answer:
hope this helped!
Step-by-step explanation:
75 km = 75000 m
1.5 hours = 5400 sec
Applying the formula
Velocity
=
75000 m
5400 s
=
13.89 m/s
Challenge Question: A(1, 5), B(5, 2), C(-1, 2) PLZ ANSWER ASAP
Translate 3 units left, 4 units down
Reflect over y - axis
Dilate with a scale factor of 1.5
Rotate 90 degrees C.C about the origin.
Answer: the
Step-by-step explanation: your so broke you cant even afford lunch
Evaluate
12: (2+2)
67
4
3
111
Help me and I will give u 20 points
Answer:
it is 27/16 or 1 11/16
Step-by-step explanation:
To sign up for cable service, you must purchase the DVR recorder
upfront, then pay $19.95 per month for service. Eight months
after signing up, Martha had paid a total of $288.60 for the
recorder and service. Write and solve a linear equation to find
the total amount she will have paid for the 2-year agreement she
signed.
Can someone please give me the (Answers) to this? ... please ...
Answer:
To be congruent at b. no. UV= VK,V=V,UW=KM.
To be congruent at C no. M=S,LM=ST,LK=TU.
HELP ASAPPPPPPP!!!!!
i a stoc kcar model is built to scale of 1 cm : 2.5 ft and the model measures 7.7 cm in length, what will be the length of actual stock car?
Answer:
19.25 ft
Step-by-step explanation:
for every one cm the actual car is 2.5 feet. therfore it would be 7.7 times 2.5 which equals 19.25
anybody help please hm
Answer: [tex]2^{21}[/tex]
Step-by-step explanation:
Solve: x²+5x-6 = 0
Answer please
Given that:
x² + 5x - 6 = 0
Here we see that,
→ Product of coefficient of x² and constant term = 1 × 6 = 6
→Difference of the constant term and the coefficient of x² = 6 - 1 = 5
Now the given equation can be written as,
⇛x² + 6x - 1x - 6 = 0
(Here we simply applied the correc sign and splitted the middle term in two terms)
Now let's take the common terms
⇛x(x + 6) - 1(x + 6) = 0
On grouping we get,
⇛(x - 1)(x + 6) = 0
Here either (x - 1) = 0 or (x + 6) = 0 since the product is zero so anyóne of the terms should be zero.
⇛(x - 1) = 0 or (x + 6) = 0
⇛x - 1 = 0 or x + 6 = 0
⇛x = 1 or x = -6
Here we got two solutions of the equations. This means thet are in correct form.
Answer: The value of X is 1 or -6.
also read similar questions: Solve the following equations. X^2 + 5x + 6 = 0 (Factorise) X^2 + 7x + 11 = 0 (Use the quadratic formula)..
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