determine if the point (4,7) is a solution to the system of equations shown below. Justify your yes/no answer.
y=2x-1 and y=1/2x+5
Answers
Answer:
The point (4,7) is a solution to the system of equations.
Please also check the attached graph.
Step-by-step explanation:
Given the system of equations
[tex]y=2x-1[/tex]
[tex]y=\frac{1}{2}x+5[/tex]
Let us solve the system of equations using the elimination method
[tex]\begin{bmatrix}y=2x-1\\ y=\frac{1}{2}x+5\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-2x=-1\\ y-\frac{1}{2}x=5\end{bmatrix}[/tex]
subtracting the equations
[tex]y-\frac{1}{2}x=5[/tex]
[tex]-[/tex]
[tex]\underline{y-2x=-1}[/tex]
[tex]\frac{3}{2}x=6[/tex]
now solving [tex]\frac{3}{2}x=6[/tex] for x
[tex]\frac{3}{2}x=6[/tex]
Multiply both sides by 2
[tex]2\cdot \frac{3}{2}x=6\cdot \:2[/tex]
Simplify
[tex]3x=12[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
Simplify
[tex]x=4[/tex]
For [tex]y-2x=-1[/tex] plug in x = 4
[tex]y-2\cdot \:4=-1[/tex]
[tex]y-8=-1[/tex]
Add 8 to both sides
[tex]y-8+8=-1+8[/tex]
Simplify
[tex]y=7[/tex]
Therefore, the solution to the system of equations is:
(x, y) = (4, 7)
Hence, the point (4,7) is a solution to the system of equations.
Please also check the attached graph.
Related Questions
find th length of size ab give your answer to 3 significant figures
Answers
Answer: 8.856cm
Step-by-step explanation:
To solve the question, we will use the formula:
Sin 41° = opposite / hypothenuse
0.656 = opposite / hypotenuse
0.656 = AB / 13.5
Cross. Multiply
AB = 13.5 × 0.656
AB = 8.856cm
Please help me on this!!!!
Answers
Answer:
670
Step-by-step explanation:
umm i used a calculator
PLSS HELP the length of a rectangle is 3 meters greater than 2 times the width the perimeter of a rectangle is 30 m what is the length of the rectangle
Answers
Answer:
Width: 4 meters. Length: 11 meters
Step-by-step explanation:
If you do it correctly, the length should be 3 more greater than 4*2. 4*2= 8 +3= 11. Your perimeter= 30 meters. 11+11 accounting for both long sides of the rectangle= 22. Accounting for both sides of the width, so 4*2=8 + our 22= 30 meters. Yw.
The length of the rectangle width 4 meters and length 11 meters.
If you do it correctly,
The length should be 3 more greater than
What is the perimeter of a rectangle?
P=2(l+w)
L= Length
W = Width
4*2. 4*2= 8 +3= 11.
Your perimeter= 30 meters.
11+11 accounting for both long sides of the rectangle= 22.
Accounting for both sides of the width,
So 4*2=8 + our 22= 30 meters.
Therefore we get the length of a rectangle is 11 meters.
To learn more about the perimeter visit:
https://brainly.com/question/19819849
Question 1 (1 point)
What is the value of x?
3x
3x +7
4
5x-8
o
52
7.
Ob
Oc
ما انه | با
Od
52
Answers
Answer:
x = 34
Step-by-step explanation:
nice
How many 1/2 cup servings are in a package of cheese that contains 5 1/4 cups altogether?
Answers
Answer:
In 5 cup servings, there are 10 1/2-cup servings
In 1/4 cups, there are 0.5 1/2-cup servings
Step-by-step explanation:
In total, there will be 10.50 1/2-cup servings
Martha took her family out to dinner. Their total bill was $32.58. She decided to leave their server a 20% tip. How much did Martha tip the server?
Answers
Just round it and you get $6.16
what are the y-intercepts to graph the equation-4x - 3y = 36
Answers
Answer:
Y-Int = -12
Step-by-step explanation:
First, I would change the equation to slope intercept form:
-3y = 36 + 4x
3y = -36 - 4x
y = -12-4/3x
y = -4/3x - 12
-12 is the y-intercepts to graph the equation-4x - 3y = 36
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The given equation is -4x-3y=36
Now let us convert the given equation to slope intercept form y=mx+b
where m is the slope and b is the y intercept
Isolate the term y
-3y=36+4x
Divide both sides by 3
-y=36/3+4/3x
Multiply both sides by -
y=-12-4/3x
y=-4/3x-12
Slope is -4/3 and y intercept is -12
Hence, -12 is the y-intercepts to graph the equation-4x - 3y = 36
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ2
Simple math questions pls help me out
Answers
Answer:
True, True, False, True, False for part 1
Step-by-step explanation:
Make me brainliest
Answer:true,true,false,true part one
Step-by-step explanation:
Dawn bought a winter coat at 30% off the original price. The discount on the coat was $21. was the original price of the coat? SHOW WORK
Answers
Answer:
$70
Step-by-step explanation:
21/30 = 0.7
100x 0.7 = 70
8. Which of the following elements would have the greatest ionization energy? Magnesium (Mg) Phosphorus (P) Argon (Ar) Sodium (Na)
Answers
Answer:
I attached the photo hoped it helped
Step-by-step explanation:
Children 12 and under eat free at a local restaurant. If x represents age, write an inequality to represent people who do not get a discount.
Answers
Answer:
12 ≤ x
Explanation:
Kids 12 and under, meaning that the age of someone who enters the restaurant has to be less than or equal to 12 to eat free
The inequality which represents the age of the people who do not get the discount is x > 12.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given that,
Children 12 and under eat free at a local restaurant.
Let x represents the age of the people.
Since the children who are 12 and under will get the discount, the age of the people who do not get the discount is the people with age greater than 12.
That is the inequality representing this situation is,
x > 12
Hence the required inequality is x > 12.
Learn more about Inequalities here :
https://brainly.com/question/29196267
#SPJ2
help help help yuh ofc
Answers
Answer:it would have to be d because of the negative sign the sum is negative so the x would have to be
Step-by-step explanation:
Evaluate 3 to the 2nd power plus 7 times 2
Answers
Hey there!
3^2 + 7 • 2
3^2 = 3 • 3 = 9
9 + 7 • 2
7 • 2 = 14
9 + 14 = 23
Answer: 23 ☑️
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
my
Step-by-step explanation:
QRST is a parallelogram. Find x, y, and z.
Answers
Answer:
x=5.4
y= 9
z= 11
Step-by-step explanation:
5x= 27
x= 5.4
2y-5=y+4
y=9
3z = 33
z =11
hi can anyone tell me the answer
Answers
Answer:
Attached a pic!!
Hope it helps!!!!
About 0.2of all the students in the fifth grade are boys. If the fifth grade has 75 students, how many of the students are ?
Answers
Answer:
15 boys
Step-by-step explanation:
About 0.2of all the students in the fifth grade are boys. If the fifth grade has 75 students, how many of the students are boys?
The number of boys can be calculated as:
0.2 × Number of fifth grade students
Number of fifth grade students = 75 students
Therefore,
The number of boys =
0.2 × 75 students = 15
The number of boys = 15 boys
Multiply. Write your answer as a fraction or as a whole or mixed number.
2
1
3
×
2
1
2
×
1
4
=
Answers
The answer of expression is 632184, it in fraction is 1264368/2.
What is Multiplication?The adding of groups is called as Multiplication. When we multiply, the number of things in the group increases.
The combination of numbers, variables and operators is known as Expression
In the given expression multiplication or product is the operator.
213×212×14
When we multiply we get 632184.
Now we have to write 632184 in fractional form.
For this let us multiply numerator and denominator by 2.
So we get 1264368/2
and this can also we can write in mixed number.
We can write this value in fraction as 1264368/2
and we can also write in mixed number 4 632164/5.
Hence the answer as fraction is 1264368/2.
To learn more on multiplication click:
https://brainly.com/question/5992872
#SPJ2
Drag the appropriate answer from the choices given into the box provided.
Allen bought 2 notebooks for $8.75 each and one
Textbook for $74.95. If the sales tax was 7%, the total
of Allen's purchase was
$83.70
$89.56
$92.45
$98.92
Answers
9/2 divided by 3/4
What the answer??
Answers
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
[tex]\frac{9}{2}[/tex]÷[tex]\frac{3}{4}[/tex]Use the keep change flip method. Make this a multiplication equation by turning 3/4 into 4/3
[tex]\frac{9}{2}[/tex]×[tex]\frac{4}{3}[/tex]Solve.
[tex]\frac{36}{6}[/tex]Simplify
6Which of the following values of x makes the functions equal?
y=-1x+4
y=3x
Answers
x=1
because 3 times 1 is 3
and -1 times 1 is -1 plus 4 is 3
Give the domain and range of each relation
Answers
What is the slope of line a?
-1/3 3 -3 1/3
Answers
If I’m correct mark me brainliest pls
Explanation: The slope is the rise over run, to find the slope you have to count the rise which is the numerator of the slope in this case it is 1 and the run is the denominator in this case it is 3. The reason the slope is positive is because the line is going up.
Hope this helps
Someone help please
Answers
Answer:
if you would stan LOONA you would get all A's):
100 POINTS Which statement is true about the residual plot below?
The sum of the residuals is greater than zero.
2
A linear model is a good it for the data.
.
.
1
2
3
4
5 x
No regression model is appropriate for the data.
-1
.
.
.
-2
-3
A quadratic model is appropriate for the data.
Done
BEL
Answers
Answer:
I believe that the answer would be A linear model is a good hot for the data.
Step-by-step explanation:
Answer:
A linear model is good fit
Step-by-step explanation:
I did this
Determine whether the expression is a polynomial. If it is a polynomial, find the degree
and determine whether it is a monomial, binomial, or trinomial.
3y^2 – 2
Answers
Answer:
This expression is a polynomial. The largest exponent is 2, therefore, it is in the quadratic degree. It is a binomial because it has two parts: 3y² and -2.
A TV has a listed price of $ 796-99 before tax. If the sales tax rate is 6.75% find the total cost of the TV with sales tax included
Round your answer to the nearest cent, as necessary
Answers
Answer:
$850.79
Step-by-step explanation:
Assuming "$ 796-99" meant $796.99
796.99 increase 6.75% =
796.99 × (1 + 6.75%) = 796.99 × (1 + 0.0675) = 850.786825
Trigonometric Ratios and Unit Circles.
See Image Below.
Answers
Answer:
irudiwhiwhs swsw is d
Step-by-step explanation:
8349240 is your aswr 213
Jose bought a new car 2 years ago for $18,000. The value of his car decreased exponentially by 17% and is now
valued at about $12,400.
Solve Part A please
Answers
Answer: D
Step-by-step explanation: On the first part, if it decreases by 17% each year, that means its value is 83% of what it was. You forgot to say that the car was bought 2 years ago.
Thus, the answer is D
For the second, just use the same logic to get 18000*0.75^4
A high-speed elevator can rise 480 feet in 3 seconds. Which expression represents the rate, in feet per minute, of the elevator?
Answers
1 minute = 60 seconds
60 seconds/ 3 seconds = 20
480 feet x 20 = 9,600 feet
The elevator travels 9,600 feet per minute.
Answer:
160 feet per minute
Step-by-step explanation: i am 100% sure
(1a) Do 4x and 15 + x have the same value when x is 5? How do you know?
Answers
Answer:
Yes, both have the same value ( 20) when x = 5.
Step-by-step explanation:
We have two functions:
y = 15 + x
y = 4*x
We want to see if these functions have the same value when x = 5.
Then we just need to replace x by 5 in both equations, and see if the values of y are the same
first function:
y = 15 + 5 = 20
second function:
y = 4*5 = 20
So yes, both functions are equal to 20 when x = 5.
Answer:
Yes.
Step-by-step explanation:
4(5)=20
15+5=20