What is the solution to the system of equations graphed below
Y=2x-7 y=-x-1
Answers
The value of the common solution to the system of equation is (2,-3).
What is System of Equation?The system of equation is set of equations which have a common solution.
The figure shows the graph of two equations, these equations are a straight line function and the common solution is represented by a point in the image.
The solution of the system of equation can be obtained both by solving using substitution method and even by plotting the graph and finding the intersection point.
The system of equation is,
y = 2x - 7
y = -x -1
The value of y from equation 2 will be substituted in equation 1
-x -1 = 2x -7
3x = 6
x = 2
Substituting this value in equation 2
y = -2 -1
y = -3
The value of (x,y) is (2,-3)
The graph is plotted and the intersection of the line is at (2,-3)
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Answer:
The answer is (2,-3)
Step-by-step explanation:
Related Questions
Jill bought a house for $250,000. The expected depreciation of a house is 18% a year. When will her
house be worth $200,000?
Answers
Answer is 1 year 1 month and 5 days
You have 90 oz of egg noodles. You need 5 oz to make one serving of chicken noodle soup. How many servings can you make?
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Answer: 450 oz
Step-by-step explanation: multiply
Answer:
You can make 18 servings.
Step-by-step explanation:
which subsequent true/false statement is true?
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Answer:
True is corect
Step-by-step explanation:
true = true
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
Answers
Answer:
x=-14
Step-by-step explanation:
The x-intercept of a line is the value of x that makes y=0.
A line can be expressed in its slope-intercept form:
y=mx+b
Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.
Let's find the slope of the line.
Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let's pick the first two points of the table (-94,24) (-74,18). The slope is:
[tex]\displaystyle m=\frac{18-24}{-74+94}=\frac{-6}{20}=-\frac{3}{10}[/tex]
The equation of the line is:
[tex]\displaystyle y=-\frac{3}{10}x+b[/tex]
Now use one of the points to find b, for example (-94,24):
[tex]\displaystyle 24=-\frac{3}{10}\cdot (-94)+b[/tex]
Operating:
[tex]\displaystyle 24=\frac{141}{5}+b[/tex]
Solving:
[tex]b=24-\frac{141}{5}=-\frac{21}{5}[/tex]
The complete equation of the line is:
[tex]\displaystyle y=-\frac{3}{10}x-\frac{21}{5}[/tex]
To find the x-incercept, set y=0 and solve:
[tex]\displaystyle 0=-\frac{3}{10}x-\frac{21}{5}[/tex]
[tex]\displaystyle x=\frac{\frac{21}{5}}{-\frac{3}{10}}=-\frac{21}{5}\cdot \frac{10}{3}[/tex]
x=-14
Can someone help me please
Answers
Answer:
The ratio is 6
ZA and B are complementary angles. If mA = (6x + 22)° and m
ZB = (7x + 16)°, then find the measure of ZB.
Answers
Year 6 maths question
Answers
we know that box A has 5 times as many pens as box B. if we take away 76 pens from box A, then it will be equal to box B. therefore, we would need to make an equation (where x is box B):
5x - 76 = x
subtract 5x on both sides:
-76 = -4x
divide each side by -4:
x = 19
x would also be box A because box B and box A have the same number of pens
Jayden is saving money to buy the new Jordan 11's. He
needs $220 to get them. He already has $60 saved and
he makes $20 a week doing chores around the house
Answers
Answer:
it will take Jayden 8 weeks to save money for the Jordan 11's
Step-by-step explanation:
$60 = 3 weeks
$220 = 11 weeks
subtract the three weeks from the amount of time it would take without the saved money
$220 = 8 weeks
or
subtract saved amount from total = $160 and divide by 20
what is the reciprocal of 5 3/7
Answers
Answer: 7/38
Step-by-step explanation:
So first you have to take the mixed number out of it mixed number form by multiplying 7 x 5 and then adding 3 giving you 38/7(you keep the denominator the same. Then you flip the fraction giving you 7/38.:)
Hope this helps!
Find the slope of a pipe that slopes down 1/3 inch per foot
Answers
Answer:
-1/36
Step-by-step explanation:
The slope is of [tex]\mathbf{-\frac{1}{3}}[/tex]
----------------------
We use a linear function to understand this question, which has equation given by:
[tex]y = mx + b[/tex]
The slope is m, which is the rate of change, that is, how much y changes when x changes by 1.In this problem, for each foot, the pipe slopes down [tex]\frac{1}{3}[/tex] of an inch. Thus, the slope is [tex]m = -\frac{1}{3}[/tex]A similar problem is given at https://brainly.com/question/18594541
What is the value of the expression 1/3^−5 ?
Answers
Answer:
243
Step-by-step explanation:
hope its right
PLEASE HELP MEE!!!
If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?
Answers
Answer:
eighth graders
Step-by-step explanation:
Answer:eighth
Step-by-step explanation:
Consider the table representing an exponential function.
The equation for this function is
f(x) =
Answers
Answer:
Its 8, and 0.5
Step-by-step explanation:
What is the product of 9,028 x 100,000 written in expanded form
Answers
Answer:
902,800,000
Step-by-step explanation:
902800000, is the product of 9,028 x 100,000.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
9,028 x 100,000
=902800000
Hence, 902800000, is the product of 9,028 x 100,000.
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Select all of the ratios that are equivalent to 8:6
Answers
Answer: 3:2 and also 4:3
Step-by-step explanation:
Answer:
4:316:1224:1832:2440:3048:3656:4264:4872:5480:6088:6696:72Hope this helps :)
If 999 is divided by 4, what is the remainder?
Answers
Answer The remainder Is 3
I think #1 is wrong but i can't figure it out
Answers
Answer:
the mistake is x and y x is 6 and y is 4 so it would be 5x6 and 4^2 divide by 2
Step-by-step explanation:
the right one is 5x-y^2 divide 2
5x6-4^2 divide 2
5x6-16 divide 2
30-8
22
What is the standard form of the number shown in this calculator display?
The calculator shows five point nine three e negative five
Answers
Answer:
The standard form of the number shown in the calculator display as 1.46e-6 = 1.46 X 10^-6 = 0.00000146.
Step-by-step explanation:
hope this helped ✨
Put is in order least to greatest. -13/6, -2.1, -26/13, -9/4
Answers
Answer:
-9/4, -13/6,-2.1,-26/13
Answer:
-26/13, -13/6, -2.1, -9/4
Step-by-step explanation:
Sorry its from greatest to least
1
The weight of water is 62-
2
lb per cubic foot. Water that weighs 275 lb will fill how many cubic fe
Water that weighs 275 lb will fill cubic feet.
Answers
Answer:
it will fill alot :)
Step-by-step explanation:
#(28282!#+#82(!29192)2!2(2(:)))))))
How to estimate 5x179
Answers
Answer:
895
Step-by-step explanation:
if u need to estimate, multiple 5 by 180, and then subtract 5
find the value of x in the figure shown.
(Hint: the sum of angle measures in any triangle is 180
2x-10
(4x-80)
4x-10
Answers
Answer:
28
Step-by-step explanation:
2x +4x +4x-10 -80-10
10x-100=180
10x=180+100
10x=280
10x/10=280/10
x=28
Fabio is driving west away from Albany and towards Buffalo along Interstate 90 at a constant rate of speed
of 62 miles per hour. After driving for 1.5 hours, Fabio is 221 miles from Albany.
Answers
Answer:
a) ( D - 128 ) = m ( 1,5 - 0)
b) D = 62*h + 128
Step-by-step explanation:
Fabio drives at a constant speed of 62 miles per hour therefore:
62 * 1,5 = 93 miles
But he is 221 miles away from Albany, then he started
221 - 93 = 128 miles from Albany
In a coordinates system D (distance in the y-axis ), and h ( hours in x-axis), we have two points
h₁ = 0 (h) D (y intercept) = 128 miles and h = 1,5 (h) D = 221 miles
P₁ ( 0 , 128 ) P₂ ( 1,5 , 221 )
Then the equation for straight-line passing through two points is:
m = ( D - D₁ ) / ( h - h₁ )
( D - D₁ ) = m ( h - h₁ )
a) ( D - 128 ) = m ( 1,5 - 0)
And
b) m = 93/ 1,5
m = 62
And
b) D = mh + b
D = mh + D₁
D = 62*h + 128
a)
The equation is:
[tex]D - 221 = 62(h - 1.5)[/tex]
b) Initially, he was 128 miles away from Albany.
Item a:
Fabio is traveling from Albany to Buffalo, and his distance D from Albany after h hours is modeled by a linear function in the following format:
[tex]D - D_1 = m(h - h_1)[/tex]
We have that:
Velocity of 62 miles per hour, thus the slope is [tex]m = 62[/tex].After 1.5 hours, he is 221 miles away from Albany, thus the point is [tex]h_1 = 1.5, D_1 = 221[/tex].The equation is:
[tex]D - D_1 = m(h - h_1)[/tex]
[tex]D - 221 = 62(h - 1.5)[/tex]
Item b:
The initial distance is D when h = 0, so:[tex]D - 221 = 62(0 - 1.5)[/tex]
[tex]D = -1.5(62) + 221[/tex]
[tex]D = 128[/tex]
Initially, he was 128 miles away from Albany.
A similar problem is given at https://brainly.com/question/16302622
Factorise 4x^2+28x^3
Answers
Answer 4x^2 (7x+1)
Hope it helps!!!
4 gallons of chocolate milk how many bottles if 2 pints per bottle.
Answers
Answer:
there are 32 bottles needed
Step-by-step explanation:
Thanks
Solve the equation because I really need help
Answers
Answer:
No Solution
Step-by-step explanation:
P.E.M.D.A.S
4(x+5) = 21 + 4x
4x+20 = 21+4x
we would subtract 4 on both sides to isolate 4 by it self.
subtract 4x on both sides but when we do we get 0 for x
4x-4x + 40 = 21 + 4x-4x
we get 40 = 21
So our answer is no Solution or unless your just tryning to find out that the total is with out x 40 = 21
high hopes ^^
Barry
At which value in the domain does f(x) = 0?
X=-3
X=0
X=1
X=4
Answers
so where does the line cross the y axis
at x=-3
which expert is an example of indirect characterization
Answers
Answer:
Juana pretended to be sick so that she wouldn't have to go to school.
Step-by-step explanation:
Which excerpt is an example of indirect characterization?
-Jett was a kind boy who was always willing to help anyone in need.
-Mariana was a chatterbox and could talk for hours about any subject.
-Juana pretended to be sick so that she would not have to go to school.
-Lamar was jealous of his older brother Omar, who was a skilled soccer player. NextReset
Help! Please. I don’t know what I did wrong.
Answers
Answer:
1320, permutation
Step-by-step explanation:
There are 12 members
Pick a president
We have 12 choices
Now there are 11 people left to pick from
now pick a vp
We have 11 choices
Now there are 10 people left to pick from
now pick a secretary
We have 10 choices
12*11*10 = 1320
This is a permutation since it matters who is president, vp and secretary
how much babysitting will i have to do if i make 5.50 an hour and the dress i want is 52.25 math Using double number line
Answers
Answer:
9,5 hrs
Step-by-step explanation: