What point is the intersection of the graphs of the lines 2x - y = 3 and x+y = 3?
Answers
Answer: (2, 1)
======================================================
Explanation:
Let's add the equations straight down
The x terms add up to 2x+x = 3xThe y terms add to -y+y = 0y = 0, so the y terms go awayThe right hand sides add to 3+3 = 6After those three things happen, we're left with 3x = 6 which solves to x = 2 after dividing both sides by 3.
Now let's use this x value to find y
2x-y = 3
2(2)-y = 3
4-y = 3
-y = 3-4
-y = -1
y = 1
Or we could use the other equation
x+y = 3
2+y = 3
y = 3-2
y = 1
which gets us there in fewer steps.
So that's how we get to the final answer of (x,y) = (2,1)
The graph is shown below.
Related Questions
if f(x)= 5x + 4 and g(x) = 1/2x
find ,
a) fg(5)
Answers
Answer:
f(g(5)) = 16.5
Step-by-step explanation:
To calculate f(g(5)), evaluate g(5) then substitute the value obtained into f(x)
g(5) = [tex]\frac{1}{2}[/tex] × 5 = 2.5 , then
f(2.5) = 5(2.5) + 4 = 12.5 + 4 = 16.5
Answer: fg(5) = 16.5
Explanation:
g(5) = 1/2 × 5
= 2.5
f(2.5) = 5(2.5) + 4
= 12.5 + 4
= 16.5
Must click thanks and mark brainliest
Convert 1 3/4 into a improper fraction.
Answers
Answer:
the answer must be 7/4 because
Step-by-step explanation:
1 3/4 4×1+3=7
Does this graph show a function? Explain how you know.
O A. Yes; there are no y values that have more than one x-valuer
O B. No, there are y-values that have more than one x-value.
O C. Yes, the graph passes the vertical line test.
O D. No, the graph fails the vertical line test. SUBMIT
Answers
Answer: D) No. The graph fails the vertical line test.
Explanation:
We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).
So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.
In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.
Jasper’s new copier can produce a copy every 0.57 seconds. Jasper calculates that it will take 6.57 seconds to produce 6 copies.
What error did Jasper make?
He placed the decimal point incorrectly after he multiplied.
He multiplied the time to produce one copy by 6 instead of 12.
He added 6 and 0.57 instead of multiplying.
He found the time to produce 57 copies instead of 6.
Answers
It takes 0.57 seconds per copy and he made 6 copies.
6 + 0.57 = 6.57
He added 6 and 0.57 instead of multiplying.
The easiest way to figure this out would be to do the problem by ourselves:
0.57 · 6 = 3.42, so it will take about 3.5 seconds.
We can say that Jasper got a way different answer, so it must be something wrong with the way he multiplied. When we look through the answers and we see that rather than multiplying, Jasper added, so our answer is:
He added 6 and 0.57 instead of multiplying.
A ladder reaches 6 m up a wall with its foot 2·4 m from the wall. A person standing under the ladder at a point 80 cm from its foot would be able to touch the ladder at a height of _____ m from the ground.
Answers
Hey there! I'm happy to help!
We see that the ladder reaches a height of 6m from the ground while being 2.4 m from the wall. The ratio of the height to the length from the wall is 6:2.4 which can actually just simplify to 2.5 because 6m to is 2.4*2.5.
This person is 80 cm from the ladder's base. We just saw that you can take the distance from the wall (in this case, our wall is the human as the human is touching the height) and multiply it by 2.5 to find the height of the ladder at that specific point. So let's do that.
80*2.5= 200
We are looking for meters though. Since there are 100 centimeters in a meter, this is just going to be 2 meters.
Have a wonderful day! :D
60 vehicles parked on the driveway 1/4 of them were trucks. How many trucks?
Answers
Answer:
15 trucks
Step-by-step explanation:
If there are a total of 60 vehicles, and 1/4 of them are trucks, we can multiply 60 by 1/4 to get our answer. Or because 1/4 is split into fourths, we can divide 60 by 4 to also get our answer.
Hope this helps!
There were 15 trucks. Hope this helps.
Which of the following graphed systems has no solution?
A. none of these
Answers
Last one or third one .
Note down:-
If two lines have intersected each other then the intersection point is the solution.The equations have only If both lines are one and equal then the equations have infinite solutions.If two lines are parallel then the equations have no solutions .If the lines are parallel that means an equal slope but different y-intercepts, then the system has no solution. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The system solutions are as follows:
If the slope of the lines is different, then the system has a unique solution.If the slope of the lines is the same but the y-intercepts are different, then the system has no solution.If the slope and y-intercepts of the lines are the same, then the system has infinitely many solutions.If the lines are parallel that means an equal slope but different y-intercepts, then the system has no solution. Then the correct option is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
-n +(-3) + 3n +5
Help would be appreciated!
Ueowbfkwjdbdbdjd
Answers
Answer:
2n+2
Step-by-step explanation:
-n -3 + 3n +5
Combine like terms
-n +3n -3 +5
2n +2
Answer:
2n+2
Step-by-step explanation:
Pls answer my question it is urgent
Answers
Answer: rs 400 and 500
Step-by-step explanation:
The figure shown to the right is an isosceles triangle, and
R is the midpoint of PS.
The fig
labeled
A. Explain when it is appropriate to use the statement PT TS.
P
R
S
B. Explain when it is appropriate to use the statement PT = TS.
Answers
Answer:
We know that an isosceles triangle has 2 of its sides being equal
With R, being the midpoint of PS, we can say that
PR=RS
Noting that, with R as midpoint, we can conclude that RT is a straight line which divides angles TPR and TSR into 2 right angle triangles
Step-by-step explanation:
therefore angle at P is 45°. Angle at S also 45°
Therefore PT = TS
This is because T is 45 degrees as well as P which is also 45 degrees
angle in triangle PTS is 180 degrees
R is 90 degrees, P is 45 degrees and the whole of T is also 45 degrees(which has been split into 2)
I need help with this please.
Answers
Answer:
C.
Step-by-step explanation:
Carson has a smart phone data plan that costs $35 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Carson have to pay in a month where he used 3 GB over the limit? How much would Carson have to pay in a month where he used went over by x GB?
Answers
Answer:
3 GB over: $80 x GB over: $35+$15x
Step-by-step explanation:
First, 3 GB over is 3 times 15 plus 35, which equals 80. x GB over is x times 15 plus 35, hence the answer. Hope this helps!
For using 3GB of data more, she'll be charged $80.
a. Amount charged per month = $35
Amount charged for over-usage = $15 per gb.
Therefore, when she uses 3gb more, the amount charged will be:
= $35 + ($15 × 3)
= $35 + $45.
= $80
When she uses x gb more, the amount that she'll be charged will be:
= $35 + ($15 × x)
= $35 + 15x
= 35 + 15x
Read related link on:
https://brainly.com/question/23306305
Plz Help...............I’ll give you 50 pts
1. Essential Question How do you use what you know about absolute value to add integers?
2. Reasoning How can you tell the sign of the sum of a positive and negative integer without doing any calculations?
3. Model with Math How would you use a number line to determine the sum of two negative integers?
Do You Know How?
4. Sarah bought a bike that cost $260. She had a coupon that was worth $55 off the cost of any bike. Use the expression 260 + (-55) to find how much Sarah paid for her bike.
5. A shark is swimming 60 feet below the surface of the ocean. There is a fish that is 25 feet deeper in the water. Use the expression (-60) + (-25) to describe the fish’s location relative to the surface of the ocean.
60 feet
25 feet
6. The high temperature one day was 30°F. Then the temperature dropped 23 degrees during the night. Does the expression 30 + (-23) represent the temperature at night? Explain.
Answers
Answer:
1) I know that if the two integers have the same sign: Add their absolute values and give the answer the same sign as the two original integers. Also, I know that If the two integers have different signs: Subtract the lesser absolute value from the greater absolute value.
2) To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero.
3) First, draw a number line. Then, find the location of the first integer on the number line. Next, if the second integer is positive, move that many units to the right from the location of the first integer. If the second integer is negative, move that many units to the left from the location of the first integer.
4) 205 dollars
5) The fish’s location relative to the surface of the ocean is -85
6) Honestly, I'm not so sure about this now, but I believe yes.
Step-by-step explanation:
there are a lot of resources, here on this app, that i used to help answer your question. If I helped, it would be nice if you rated this brainliest, give 5 stars, and the 50 points :)
1) I know that if the two integers have the same sign: Add their absolute values and give the answer the same sign as the two original integers. Also, I know that If the two integers have different signs: Subtract the lesser absolute value from the greater absolute value.
2) To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero.
3) First, draw a number line. Then, find the location of the first integer on the number line. Next, if the second integer is positive, move that many units to the right from the location of the first integer. If the second integer is negative, move that many units to the left from the location of the first integer.
4) $205
5) The fish’s location relative to the surface of the ocean is -85 or -25 if the fish is 25 feet deeper from surface of ocean
6) Yes if both the temperatures are in Degree Fahrenheit
please click thanks and mark brainliest if you like :)
gabys piggy bank contains nickles and dimes worth $5.15. If she has 66 coins in all, how many of each does she have
Answers
8.18
Step-by-step explanation:
8.18
pow pom wyh oqhw uwhwn 8.18 ge wk
Answer:
37 Dimes, 29 Nickels
Step-by-step explanation:
x= dimes
66-x = nickels
.1 (x) = dimes
.05 (66-x) = nickels
Solve
3.3 + 0.5x = 5.15
Solve again then you come out with
x= 37
66 - 37 = 29
Determine the interval(s) on which the given function is decreasing.
Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right
Answers
A function is decreasing if, reading from left to right, we can see that the graph of the function goes down.
Here we can't see the graph, but we have a brief description.
"the graph goes up until it reaches a maximum at (0, 5), then the graph reaches a relative minimum at (1, 4), then it goes up again"
Now, the graph was going up until it reached the maximum, so at that point, the graph starts going down.
The graph will go downwards until it reaches the minimum, at that point the graph starts increasing again.
So the graph only goes down between x = 0 and x = 1.
we can conclude that the interval on which the given function is decreasing is [0, 1]
If you want to learn more, you can read:
https://brainly.com/question/21287583
What are the solutions to the quadratic equation (5y + 6)2 = 24?
y = StartFraction negative 6 + 2 StartRoot 6 EndRoot Over 5 EndFraction and y = StartFraction negative 6 minus 2 StartRoot 6 EndRoot Over 5 EndFraction
y = StartFraction negative 6 + 2 StartRoot 6 EndRoot Over 5 EndFraction and y = StartFraction 6 minus 2 StartRoot 6 EndRoot Over 5 EndFraction
y = StartFraction negative 4 StartRoot 6 EndRoot Over 5 EndFraction and y = StartFraction negative 8 StartRoot 6 EndRoot Over 5 EndFraction
y = StartFraction 4 StartRoot 6 EndRoot Over 5 EndFraction and y = StartFraction 8 StartRoot 6 EndRoot Over 5 EndFraction
Answers
there are two solutions:
a) y = [tex]\frac{-6+2\sqrt{6} }{5}[/tex]
b) [tex]y = \frac{-6-2\sqrt{6} }{5}[/tex]
Answer:
it's A
Step-by-step explanation:
Trust me I got the question right on the quiz
This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.
n = d + 74
The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?
Answers
please mark brainliest
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Esmerelda is a math student who needs to gather a sample of 10 participants to conduct a survey about U.S. residents. She asks her 3 siblings, her 2 parents, and telephones 5 friends and asks them to complete her questionnaire. This is an example of a ______________________.
A. convenience sample
B. systematic sample
C. self-selecting sample
D. representative sample
Answers
Answer:
a. convenience sample
Step-by-step explanation:
I guess it is correct
Determine the approximate length of AC
(please provide a good explanation, I want to understand this better!)
A: 7 Units
B: 7.07 Units
C: 5 Units
D: 1 Unit
Answers
Answer:
B: 7.07 units
Step-by-step explanation:
We see a radius of circle A labeled 3, so we know that the other radius of circle A that contains the side of the rectangle also measures 3 units. The side of the rectangle measures 2, so the part of the radius of circle A that is not part of the rectangle measures 1 unit. That is one leg of the right triangle.
Opposite sides of a rectangle are congruent, so the side of the rectangle opposite the side that measures 7 also measures 7. That is the other leg of the right triangle. Now we use the Pythagorean theorem to find AC which is the hypotenuse of the right triangle.
a² + b² = c²
1² + 7² = c²
1 + 49 = c²
c² = 50
c = √50
c = 7.07
Create a system of equations that includes one linear equation and one quadratic equation.Part 1. Show all work in solving your system of equations algebraically.
Part 2. Graph your system of equations and show the solution graphically to verify your solution.
Answers
Answer:
The simplest system:
y = xy = x²Solve by eliminating y:
x² = xx(x - 1) = 0x₁ = 0 x₂ = 1Then the value of y:
y₁ = 0y₂ = 1The graphical solution is attached
(0, 0), (1, 1)Answer:
The simplest system:
y = x
y = x²
Solve by eliminating y:
x² = x
x(x - 1) = 0
x₁ = 0
x₂ = 1
Then the value of y:
y₁ = 0
y₂ = 1
The graphical solution is attached
(0, 0), (1, 1)
Step-by-step explanation:
please help me it for my homework
Answers
hope that helps:)
Answer:
0.45
Step-by-step explanation:
45%
=45÷100
=0.45 is decimal value
A biology class has a total of 35 students. The number of females is 11 less than the number of males. How many males and how many females are in the class?
Answers
Answer:
23 males and 12 females
Step-by-step explanation:
x = # of females
y = # of males
x + y = 35
x + x + 11 = 35
2x + 11 =35 (SUBTRACT 11 FROM BOTH SIDES)
2x = 24 (DIVIDE BOTH SIDES BY 2)
x = 12 females
x + y =35
12 + y = 35 (SUBTRACT 12 FROM BOTH SIDES)
y = 23 males
23 males + 12 females = 35 students
factorize. (x+y)) ^24x^2y^2
Answers
Answer:
I guess this is the answer
Step-by-step explanation:
(x + y)²4x²y²
= [2xy(x + y)]²
= (2x²y²)²
Please help asap
Please help asap
Please help asap
Please help asap
Please help asap
Please help asap
Please help asap
Please help asap
Answers
Answer:
come fast in English classhshshshdhhhdhhshdhdbb
shhshshsh
Answer:
jsjsjsisiwjwjsu8shdhsusuwhsguw81819w8uehr
find the surface of each figure. Round your answer to the nearest tenth.
Answers
Answer:
282.7 ft^2
Step-by-step explanation:
Surface area=2*pi*r(r+h)
2*pi*3*(15)=282.7 ft^2
Hey there!
I believe your answer would be 282.7.
The formula should be 2πrh+2πr^2. So, 2·π·3·12+2·π·3^2.
Round the answer to the nearest tenth, and you will get 282.7!
Hope this helps!
Have a great day!
hello everyone! i need help with my geometry hw. pls help
Answers
Answer:
15 teachers on the trip
Step-by-step explanation:
Since it is c/t
The ratio is 14/3
How do we get from 14 to 70?
Multiply by 5
so multiply by 5 on 3 which is 15
So there are 15 teachers on the trip
Hope this helps!
How many roots does the graphed polynomial function have?
A. 1
B. 2
C. 4.
D. 3 I’m
Answers
Answer:
3 roots
Step-by-step explanation:
The roots are the values of x on the x- axis where the graph crosses x- axis
The graph crosses the x- axis at 3 points, thus has 3 roots
HELLLPPP 31 kilograms is the same as how many pounds? Hint: 1 kg = 2.2 lb Round your answer to the nearest tenth.
Answers
Hi! I'm happy to help!
To solve this, we need to turn all the kilograms into pounds. We know that to turn 1 kg into a pound, you multiply the amount of kilograms by 2.2.
Knowing this, we can multiply our 31 kilograms by 2.2.
31×2.2=68.2
This means that 31 kilograms is equal to 68.2 pounds.
I hope this was helpful, keep learning! :D
The shape on the left is translated to the shape on the right which statement about transformation is true?
Answers
A jar contains 30 red, 40 blue, and 50 white buttons. You pick one button at random , find the probability that it is blue.
Answers
Answer:
33.33%
Step-by-step explanation:
Probability is a percentage. To determine probability you would add all of the buttons together to equal 120 buttons. Then you would divide the number of blue buttons by that total or 40/120 which equals 0.333333; this number in a percentage is 33.3333% (or roughly 1/3).
Answer:
33.33%Step-by-step explanation:
To find the probability of blue buttons, divide the amount of blue buttons with the total buttons.
Blue Buttons/Total Buttons=> 40/30 + 40 + 50=> 40/120=> 1/3 = 33.33%Hence, the probability of the button chosen is blue is 33.33%.
