Solve the system by graphing.
y = −x + 3
y = −3x − 1
The solution of the system
Answers
Answer:
A(-2,5)
x= -2 , y=5
Step-by-step explanation:
draw the lines for both equations and that will be by finding any points in the lines:
1. sub any value for x to find y in the equation (y=-x+3) :
When x=0 ⇒ y=-0+3, y=3 (the point is: (0,3)When x=1 ⇒ y= -1 +3 , y=2 (the point is: (1,2)When x=2 ⇒ y=-2+3, y=1 (the point is: (2,1)When x=-1 ⇒ y=-(-1)+3, y=4 (the point is: (-1,4)When x=-2 ⇒ y=-(-2)+3, y=5 (the point is: (-2,5)plot the points in the graph and match them to get the first line for equation(1).
2. sub any value for x to find y in the equation (y=-3x-1) :
When x=0 ⇒ y=-3(0)-1, y=-1 (the point is: (0,-1)When x=1 ⇒ y=-3(1)-1, y=-4 (the point is: (1,-4)When x=2 ⇒ y=-3(2)-1, y=-7 (the point is: (2,-7)When x=-1 ⇒ y=-3(-1)-1, y=2 (the point is: (-1,2)When x=-2 ⇒ y=-3(-2)-1, y=5 (the point is: (-2,5)Now again plot the points in the same graph and match them to get the second line for equation(2).
When you finish you will have two lines drawn in a graph, the solution will be were the two points intercept, and that will be:
A(-2,5)
x= -2 , y=5
(note: you can check your answer by subbing the value of x in both equations and you should get the answer 5 as the value of y)
Related Questions
HELP PLEASEEE!!!!!!! The population in Smalltown in 2010 was 56,382 people and is growing exponentially at a rate of 1.2 percent. Which of the following equations defines the population t years after 2010?
a. P= 56,382(1+0.12)^t
b. P= 56,382(1+0.012)^t
c. P= 56,382e^0.012t
d. P= 56382e^1.2t
Answers
Answer:
b. P = 56,382(1+0.012)^t
The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The population P after 2010 is an exponential growth function of the form:
[tex]P = P_{0} (1 + r)^t[/tex]
where P₀ is the initial population,
r is the annual growth rate as a decimal, and
t is the time in years.
Byu given information P₀ = 56,382,
r = 0.012, and
t is the number of years after 2010.
The equation that defines the population in Smalltown t years after 2010 is:
[tex]P = 56,382(1 + 0.012)^t[/tex]
Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
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3600 dollars is placed in an account with an annual interest rate of 9%. How much
will be in the account after 25 years, to the nearest cent?
Answers
Answer:
r
Step-by-step explanation:
PLEASE HELP !!!!!!!!!! What is mzABC?
Answers
Answer:160
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
Angle ABC is 135 (the exterior angle of ACB) minus angle BAC so
135-75 = 60
5. Adele believes that 0.462 is written as "four tenths, sixty-two hundredths." Is she correct? Explain your answer. *
2 points
Your answer
Answers
Answer:
Adele is incorrect
It's four tenths, six hundredths and 2 thousandths.
I think.
Please correct me if I'm wrong
Step-by-step explanation:
Name the steps of solving 5x+4=40
Answers
Answer:
Step-by-step explanation:
Simplifying
5x + -4 = 40
Reorder the terms:
-4 + 5x = 40
Solving
-4 + 5x = 40
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 5x = 40 + 4
Combine like terms: -4 + 4 = 0
0 + 5x = 40 + 4
5x = 40 + 4
Combine like terms: 40 + 4 = 44
5x = 44
Divide each side by '5'.
x = 8.8
Simplifying
x = 8.8
Given log34≈1.262 and log37≈1.771, what is the value of log3(167)?
Enter your answer in the box.
Answers
Answer:
0.753
Step-by-step explanation:
I just took the test lol
The value of log₃(⁷/₁₆) when log₃4 = 1.262 and log₃7 = 1.771 is;
log₃(⁷/₁₆) = -0.753
We are given;
log₃4 = 1.262
log₃7 = 1.771
We want to find log₃(⁷/₁₆)
Now, from properties of logarithm too, we have;
logₐ(x/y) = logₐx - logₐy
Thus; log₃(⁷/₁₆) = log₃7 - log₃16
Also, we know that; logₐx² = 2logₐx
Thus; log₃16 = log₃4²
log₃16 = 2log₃4
Thus; log₃(⁷/₁₆) = log₃7 - 2log₃4
Plugging in the relevant values gives;
1.771 - 2(1.262) = -0.753
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What is the volume of this composite solid?
5 m
12m
A. 1188 cubic meters
B. 132 cubic meters
O Ο Ο Ο
C. 864 cubic meters
D. 567 cubic meters
Answers
Answer:
The answer is 864 cubic meters
!!will give brainliest!! If you want addition to be done before multiplication, what do you need to add to the problem?
Answers
I beive your doing "Order of Operations"
Heres some information.
Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to preform multiplication and division from left to right. Next, add and subtract from left to right.
(!) Leave a comment to let me know if you need more information or any help (!)
Simplify the expression below 12 divided by (2+1)
Answers
Answer:
12 divide by 2+1
2+1=3 so
12/3
4
A radius of a circle is perpendicular to a chord if and only if it
A. is equal in length to that chord
B. parallels that chord
C. bisects that chord
D. intersects the chord directly on the circumference
Answers
Answer:
C. bisects that chord
Step-by-step explanation:
The radius of a circle is perpendicular to a chord if and only if it bisects the chord. Therefore, the option b is correct.
Radius of the circle:In the case when the diameter or the radius should be perpendicular with respect to the chord so it should be bisected the chord also its arc.
At the time when the two chords should be congruent so their corresponding arc should also be congruent.
Therefore, the option b is correct.
Learn more about circle here: https://brainly.com/question/3401487
this is an arrangement of data, usually in rows or column's.it is called___?
Answers
Answer:
Table
Step-by-step explanation:
A table is an arrangement of data in rows and columns, or possibly in a more complex structure.
Jessica and Maria got to the supermarket to buy fruit. Jessica
buys 5 apples and 6 oranges and her total before tax is $3.05.
Maria buys 7 apples and 6 oranges and her total before tax is
$3.55. What is the price of each fruit?
Answers
Answer:$0.25 per apple
$0.30 per orange
Step-by-step explanation:
I knowwww iM aMbitious and i helped 126
people
Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality shows the relationship between the number of packs of regular cards (r) and the number of packs of foll cards (f) Justin can afford to buy?
Answers
Answer:Justin plans to spend $20 on sports cards. Regular cards cost $3.50 per pack and foil cards cost $4.50 per pack
number of packs of regular cards =r and the number of packs of foll cards = f
Cost of Regular card = 3.50
Cost of 'r' packs of regular card = 3.50r
Cost of Foil card = 4.50
Cost of 'f' packs of Foil card = 4.50f
Justin plans to spend $20 on sports cards so the sum of cost of regular and Foil cards should be less than or equal to 20
The inequality becomes
3.50r + 4.50f <= 20
000_7th Math 2020-2021 Spring Benchmark
COLOR THEME
e Q ZOOM
35. The distance between two cities on a map is 3.5 centimeters. The map uses a scale
in which 1 centimeter represents 20 kilometers. What is the actual distance
between these two cities in kilometers?
Answers
Answer:
The distance between two cities is 70 km.
Step-by-step explanation:
Given that,
The distance between two cities on a map is 3.5 centimeters.
It is also mentioned that the map uses a scale in which 1 centimeter represents 20 kilometers.
We need to find the actual distance between these two cities in kilometers.
1 cm = 20 km
3.5 cm = (3.5 × 20) km
= 70 km
Hence, the distance between two cities is 70 km.
Sydney bought 3 bottles of glitter each bottle of glitter cost $6 how much did Sydney spend on the bottles of glitter
Answers
Answer:
Sydney spent $18 dollars on glitter.
Step-by-step explanation:
3 x 6 = 18.
Hope this helped?! ♥
Please help- help me
Answers
Answer:
first option
Step-by-step explanation:
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
3,052.08 cm^3
Step-by-step explanation:
Here, we want to find the volume of the sphere
We have the formula as;
V = 4/3 * pi * r^3
The radius is 9 cm
V = 4/3 * 3.14 * 9^3
V = 3,052.08 cm^3
Answer:
113.04
Step-by-step explanation:
1. The scale of a map is 1:1000. What are the actual dimensions of a
rectangle which appears as 4 cm by 3 cm on the map? What is the area
on the map in cm2 ?What is the actual area in m2?
Answers
Answer:
Step-by-step explanation:
4 cm × 1000 = 4000 cm = 40 meters
3 cm × 1000 = 3000 cm = 30 meters
A 4 cm by 3 cm section on the map represents 40 m by 30 m.
area = 40 m × 30 m = 1200 m²
Rushi ran 7.35 miles on Monday and 2.29 miles on Tuesday. How many more miles did Rushi run on
Monday than Tuesday?
Answers
Answer:
5.06
Step-by-step explanation:
hope this helps!
ALGEBRAIC EXPRESSION, FACTORIZATION AND IDENTITIES... pls help me in this... (2)
Answers
Step-by-step explanation:
i was busy so i did this much ...will solve later
He is ordering the pizzas from a place that has 12 different topping options.
7 options are vegetarian and 5 are meats.
Write the ratio of vegetarian options to the total of options in three different ways
Answers
Answer:
7:5, 7/5, 7 to 5
Explanation:
I think you're asking of this?? If not lmk
A bookstore sells art books for $25 each. There are 16 books at the store. Identify the graph that represents this situation.
Answers
Step-by-step explanation:
I believe its the one on the top of the second picture because if there is only 16 books they can sell then thats the only one that makes sence hope this helped
Graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A bookstore sells art books for $25 each. There are 16 books at the store.
Let x be the total number of books sold and y be the total amount earned:
The linear equation can be framed as follows:
y = 25x
After plotting the graph of the above linear equation we will get a graph exactly the same as mentioned in the graph third.
Thus, the graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.
Learn more about the linear equation here:
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Help please...I'll do anything...
Answers
Answer:
Step-by-step explanation:
Here is a formula that can help:
A student did not complete two assignments in Math class this week.
Each assignment was worth 5 points.
The student's current grade is an 80. How many points will they lose?
Answers
Answer : They will lose 10 points
Step-by-step explanation:
Answer:
They will lose 10 points
Step-by-step explanation:
Each assignment was worth 5 points.
5x2=10
Her grade would be a 70%
What is 5^5 evaluated or to make it easier to understand if you don't know what 5^5 is then it means what is 5 to the power of 5 evaluated?
6th GRADE MATH
Answers
Answer:
3125
Step-by-step explanation:
5 x 5 x 5 x 5 x 5
25 x 5 x 5 x 5
125 x 5 x 5
625 x 5
3125
Answer:
3125 hope this helps you
Graph the equation
y = -x + 3
Answers
Answer:
Step-by-step explanation:
Suppose that a phone that originally sold for $800 loses 3/5 of its value each year after it is released.
After 2 years, how much is the phone worth?
Write an equation for the value of the phone, , years after it is released.
Answers
Answer:
It will be worth $128.
Step-by-step explanation:
After 1 year, 3/5 of 800 is 480 which leaves the value at $320, and then after 2 years, 3/5 of 320 is 192. 320-192 leaves the value at $128.
A-(5,-9)
B-(-9,-5)
C-(-9,5)
D-(-5,9)
ASAP HELP!!! WILL MARK BRAINLIST!!!
Answers
WILL MARK BRAINLIST!!!!!!!!!!!!!!!!!
Answers
Answer:
184
Step-by-step explanation:
f(-9) means find the value of the function when x = -9, so substitute -9 into the function and solve:
3(-9)^2 + 5(-9) - 14
3(81) + 5(-9) - 14
3(81) + (-45) - 14
243 - 45 - 14
184
please help me, this is late and i will get in soooo much trouble if i do not complete this
Answers
Answer:
(D)
Step-by-step explanation:
I dont know tis for sure and so i hope im right :)
