Select the correct answer.
What is the exact solution to the system of equations shown on the graph?
OA (-1.4)
oc (-1,63)
OD. (-1,43)
Answers
Answer:
[tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]
Step-by-step explanation:
To find the exact solution, find the equation for each line. And solve for x and y.
To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.
✍️Equation 1 for the line that slopes upwards from left to your right:
Slope = [tex] m = \frac{rise}{run} = \frac{2}{1} = 2 [/tex]
b = the point at which the y-axis is intercepted by the line = 7
Substitute m = 2 and b = 7 in y = mx + b
Equation 1 would be:
✔️y = 2x + 7
✍️Equation 2 for the line that slopes downwards from left to your right:
Slope = [tex] m = \frac{rise}{run} = -\frac{3}{1} = -3 [/tex]
b = the point at which the y-axis is intercepted by the line = 1
Substitute m = -3 and b = 1 in y = mx + b
✔️Equation 2 would be:
y = -3x + 1
✍️Solve for x and y:
✔️To solve for x, substitute y = -3x + 1 in equation 1.
y = 2x + 7
-3x + 1 = 2x + 7
Collect like terms
-3x - 2x = 7 - 1
-5x = 6
Divide both sides by -5
[tex] x = \frac{6}{-5} = -1\frac{1}{5} [/tex]
✔️To solve for y, substitute x = -1⅕ in equation 2.
y = -3x + 1
[tex] y = -3\frac{-6}{5} + 1 [/tex]
[tex] y = \frac{18}{5} + 1 [/tex]
[tex] y = \frac{18 + 5}{5} [/tex]
[tex] y = \frac{23}{5} [/tex]
[tex] y = 4\frac{3}{5} [/tex]
✅The exact solution would be: [tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]
Related Questions
Write an equation, please help
Answers
Answer:
y = -6/5x + 2
Answer:
5\6x-2
Step-by-step explanation:
Y=(10-6x)\5
Y= 2-6\5x
Slope of line 1 = -6\5
Slope of line 2*(slope of line 1 )= -1
Slope of line 2 *-6\5=-1
Slopes of line 2 = 5\6
(X-x0)m = y-y0
(X-6)*5\6=y-3
5\6x -5 = y-3
Y= 5\6x -2
what is the equation of a line that is parallel to the x-axis and is 3 units below the x-axis
A.x=3
B.x=-3
C.y=3
D.y=-3
Answers
The area of a square depends on the length of its sides. Answer the questions below
regarding the relationship between the area of the square and the length of one side
of the square.
Answers
Answer:
The independent variable, x, represents the length of one side of the square, and the dependent variable is the the area of the square, because the the area of the square depends on the length of one side of the square.
A function relating these variables is D(x) = x^2.
So D(6) =36, meaning if 6 is the length of one side then 36 would be the area of the square.
Step-by-step explanation:
The question clearly stated that the area depends on the side length, making the side length the independent variable.
The formula for the area of a square is the side length squared.
Have a good day :)
The relationship between them is the formula for the area of a square is the side length squared.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
The independent variable x is represents the length of one side of the square, and the dependent variable is the the area of the square, because the the area of the square depends on the length of one side of the square.
A function relating these variables is D(x) = x^2.
D(6) =36, meaning if 6 is the length of one side then 36 would be the area of the square.
It is stated that the area depends on the side length, making the side length the independent variable.
Therefore, The formula for the area of a square is the side length squared.
Learn more about the area;
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7(2 - 3x) - 10
Simplify expressions
Answers
Answer:
4-21x
Step-by-step explanation:
What is the y-intercept of this line?
Answers
Answer:
(0, 3)
General Formulas and Concepts:
Algebra I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the graph, the line passes the y-axis at 3. Therefore, our y-int is (0, 3).
Answer:
3
Step-by-step explanation:
Each line represents one unit, so if we count up from the origin, or (0, 0), up until we get to the y-intercept, we count a total of 3 lines. That means the y-intercept is at (0, 3). We can just simplify this to 3, though. I hope this helps!
Please help me with this it’s 8 grade
Answers
Answer:
The correct answer is option B.
Step-by-step explanation:
Hi.I don't know why I am not getting any brainliest answer and if you are kind enough could you please mark me as the brainliest answer and please follow me also.
six celebrity starring in a popular sitcom that has a 12-show season of each page $750,000 per episode additional cost of producing a sitcom total $275,000 per episode. A 12- show reality series cost $350,000 so produce each episode. What is the difference between the total cost to produce the sitcom and the reality series?
Answers: A is $53,100,000.00 B is $4,200,000.00 C is $57,300,000.00 and D is $61,500,000.00
Answers
Answer:
Choice A
Step-by-step explanation:
YW
hi ok pls help me 78/90 divided by - 68/190
Answers
Answer:
-0.00006707946
Step-by-step explanation:
I just looked up the equation and this came up on a calculator. Next time just look it up on google. :) Have a nice night
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!
Solve -2t + 5 ≥ -7.
t ≤ 6
t ≤ -6
t ≥ 6
t ≥ -6
Answers
The value of t will be t ≥ 6 or t ∈ [ 6 , α ) .
Given,
-2t + 5 ≥ -7
Now,
Solving the inequality,
-2t + 5 ≥ -7
Take 5 from LHS of inequality to RHS of inequality .
-2t ≥ -12
The negative signs from both sides are eliminated .
2t ≥ 12
t≥ 12/2
t≥ 6 .
Thus the value of inequality will be t ≥ 6 .
Thus option C will be correct .
Learn more about inequality,
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Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?
Answers
Answer:
85 in intreset and 935 totoal
Step-by-step explanation:
Answer:
A = $935.00
I = A - P = $85.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 850(1 + (0.05 × 2)) = 935
A = $935.00
The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.
Answer:
85
Step-by-step explanation:
HELP PLEASE Which of these mappings is a function?
Answers
Answer:
B; x is the one that's a function because for every input there is one output. for all the other ones a x-value has two y-values and that's not function.
Step-by-step explanation:
if you are sitting in a room with ten people and 39% of them leave how many people would be left?
Answers
Answer:
69
Step-by-step explanation:
yes
Answer:
Step-by-step explanation
4-6 people left in the room
✨✨Hope it helps✨✨
Brainliest?.
You can put more than one answer please help me tyyy
Answers
(x - 4)(2x - 1)(3x - 2) = 0
What is the product of all values of x that satisfy the equation above?
Answers
Answer:
Step-by-step explanation:
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
2
x
−
1
=
0
3
x
+
2
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
1
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
2
3
The final solution is all the values that make
(
2
x
−
1
)
(
3
x
+
2
)
=
0
true.
x
=
1
2
,
−
2
3
The result can be shown in multiple forms.
Exact Form:
x
=
1
2
,
−
2
3
Decimal Form:
x
=
0.5
,
−
0.
¯
6
The product of all values of {x} that satisfy the equation →
(x - 4)(2x - 1)(3x - 2) is 4/3.
What is algebraic expression?An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -
2x + 3y + z
4x + 5
Given is the algebraic expression as -
(x - 4)(2x - 1)(3x - 2)
The given expression is -
(x - 4)(2x - 1)(3x - 2) = 0
We can write -
(x - 4) = 0 or (2x - 1) = 0 or (3x - 2) = 0
x = 4 or x = 1/2 or x = 2/3
The product of all values of {x} that satisfy the equation above is -
4 x 1/2 x 2/3
4/3
Therefore, the product of all values of {x} that satisfy the equation →
(x - 4)(2x - 1)(3x - 2) is 4/3.
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What is the GCF of 64, 160 and 224
Answers
Answer:
32
Step-by-step explanation:
Factorize:
64= 2x2x2x2x2x2
160= 2x2x2x2x2x5
224=2x2x2x2x2x7
If you notice, the pairs have 5 2s. So the gcf is 2^5 or 32.
Hope this helps plz hit the crown :D
The greatest common factor of 64,160, and 224 will be 32.
What is the greatest common factor?The greatest common factor is the largest positive number which can be divided into given numbers evenly. The greatest common factor is the highest number which divides all the given numbers completely.
Given numbers 64, 160 and 224. The greatest common factor is calculated by factorizing the given numbers.
Factorize number 64.
64 = 2x2x2x2x2x2
Factorize the number 160.
160 = 2x2x2x2x2x5
Factorize the number 224.
224 = 2x2x2x2x2x7
The common number between all three numbers is 2² or 32. Therefore, the greatest common factor of 64,160, and 224 will be 32.
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SOMEONE PLEASE HELP WILL MARK BRAINIEST PLEASE I AM NOT VERY GOOD AT MATH I NEEEED HELPPPPPP
Answers
Answer:
5150
Step-by-step explanation:
120000/3= 40000
40000*.12875= 5150
Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year. If no deposits or withdrawals are made during the year, how much money will be in her account after one year?
Answers
Answer:
FV= $1,545
Step-by-step explanation:
Giving the following information:
Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year.
To calculate the nominal value of the account after one year, we need to use the following formula:
FV= (P*r*t) + P
FV= future value
P= principal
r= interest rate
t= 1
FV= (1,500*0.03*1) + 1,500
FV= $1,545
As I said, I’m bad at math but I need a bit more help!
Answers
please help asap!!!!
An airplane is flying at an elevation of 11,000 feet. The airport is 4 miles away from a point directly below the airplane on the ground. How far is the airplane from the airport? (Hint: 1 mile = 5280 feet)
Answers
Answer:
I think it would be 21120
Step-by-step explanation:
srry if im wrong, but hope this helped! also pls correct me if its wrong ty :3
Say something stupis if you want a brainlest answer.
Answers
Answer:
something stupis if you want a brainlest answer.
l o l
s t u p i d enough for ya X D
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PLEASE HELP!!! THIS IS 25 POINTS!! ILL MARK BRAINLIEST PLEASE HELP!
Answers
i will give brainilist to the first person who wants to do my delta math
Answers
Write the following in standard form.
Answers
Answer:
[tex]\huge\boxed{3x+y=23}[/tex]
Step-by-step explanation:
First off, let's note that when given a slope and a point, we will write our equation in the form [tex]ax+by=c[/tex], where a is the slope and c is the y-intercept.
Since we know the slope, but not the y-intercept, we can start to fill in what we already know.
[tex]3x+y=c[/tex]
Therefore to finish this equation, we must find the y-intercept.
Since we know that the point (7, 2) runs through this line, we can plug it into our formula ([tex]3x+y=c[/tex]) to find the y-intercept, b.
2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.
[tex]3(7) + 2 = c[/tex] [tex]21+2=c[/tex] [tex]23 = c[/tex]This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation ([tex]3x+y=c[/tex]) as b and finish up the equation for the line.
[tex]3x+y=23[/tex]
Hope this helped!
Find the length of BC.
A)8
B)12
C)16
D)18
Answers
Answer:
i think its A (edit: im gonna take that back because i was looking at the wrong side, logically it is 12)
Step-by-step explanation:
Answer:
B. 12
Step-by-step explanation:
logically speaking is 12
The value of a stock dropped a total of $18 over a 3-day period. Each day during this stretch the value dropped the same amount. What integer represents the change in the value of the stock after the first day?
Answers
1/3 of 18 = 6
the song dropped $6 each day
Answer: -6
Step-by-step explanation:
The value of a stock dropped a total of $18 over a 3-day period meaning -6 dollars each day.
-18/3
Is y a function of x? Or not?
And explain?
Answers
Answer:
Y is NOT a function of X
Step-by-step explanation:
I guess this because it doesn't go in a pattern.
Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being “very satisfactory.” This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey?
Answers
Answer:
320 Customers took the survey
Step-by-step explanation:
Answer:
Step-by-step explanation:
144 is 45% of the total customers who took the survey.
Total customers who took survey= 144 × 100/45 = 320
Find the height of a triangle with a base of 4 1/4 cm and an area of 5 5/16 cm squared
Answers
Answer:
hb=2.5
Step-by-step explanation:
base = 4
area = 5
What is the slope of the line 6,3 and 3,2
Answers
At a little-known vacation spot, taxi fares are a bargain. A 28 -mile taxi ride takes 32 minutes and costs $22.40 You want to find the cost of a 38-minute taxi ride. What unit price do you need?
Answers
Answer: You need the unit price of how much it cost per min.
Step-by-step explanation:
First you have to find how much it costs for each min. So you divive 22.40 by 32 and you will get the answer for the cost of each min. Then Multiply the cost of each min by 38 and you should get the cost for 38 min.