Answers
Answer: You can solve this using a graphing calculator or an online calculator.
Step-by-step explanation:
1. Solve each equation for y:
x - 7 = 2y so y = (1/2)x - (7/2)
3x - 21 = 2y so y = (3/2)x - (21/2)
2. Graph the 2 equations
3. Find the intersection using the calculator
They intersect at (7,0). Those values of y make both of these equations true.
You can check this by plugging the values in:
(7) - 2(0) = 7 That's true
2(7) - 2(0) = 21 That's also true
Any values that make both equations true are solutions. Each of these equations is linear, and the lines in the graph just cross once, so there is one solution to this system of equations.
Related Questions
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She
bought 10 ounces of spicy popcorn for $2.50.
1. How much does popcorn cost per ounce?
2. How much popcorn can you buy per dollar?
3. Write two different equations that represent this situation. Use p for ounces of popcorn and a
for cost in dollars.
4. Choose one of your equations, and sketch its graph. Be sure to label the axes.
Answers
Answer:
for the first question divide 2.50 by 10
pls help will give brainliest
Answers
Answer:
A
Step-by-step explanation:
Craig solves the following system of equations using the elimination method.
2x+4y=164x+8y=−16
He chooses to eliminate the variable y.
Which statement correct describes his process and solution?
A. Craig multiplies 2x + 4y = 16 by 2 and then adds the equations. He finds the result is an identity, so there are infinitely many solutions.
B. Craig multiplies 2x + 4y = 16 by 2 and then subtracts the equations. He finds the result is a contradiction, so there is no solution.
C. Craig multiplies 2x + 4y = 16 by 2 and then subtracts the equations. He finds the result is an identity, so there are infinitely many solutions.
D. Craig multiplies 2x + 4y = 16 by 2 and then adds the equations. He finds the result is a contradiction, so there is no solution.
Answers
Answer:
the answer is b. I know this because ima teacher.
Step-by-step explanation:
Craig multiplies 2x + 4y = 16 by 2 and then subtracts the equations. He finds the result is a contradiction, so there is no solution. The correct option is B.
What is system of equations?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between two or more variables.
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Given equations are 2x+4y=16 and 4x+8y=−16. The equations will be solved as below,
2x+4y=16
4x+8y=−16
Multiply the first equation by 2 and solve,
4x+8y=16
4x+8y=−16
Therefore, Craig multiplies 2x + 4y = 16 by 2 and then subtracts the equations. He finds the result is a contradiction, so there is no solution. The correct option is B.
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HELPP PLEASEEE is 8/10 rational or irrational?
Answers
Answer:
Step-by-step explanation:
ITS RATIONAL!
Answer:
Rational
Explanation:
0.8 can be expressed as the ratio of two integers which is the definition of a rational number.
A field has a perimeter of 960 feet. Of the following, which is closest to the perimeter of the field, in meters?
(1 foot = 0.3048 meter)
A 89
B 290
C 3,200
D 10,000
Answers
Answer:a
Step-by-step explanation:
*Arianators Know*
Normal Brainly kid: What's 34 + 35?
Arianators: Can u stay up all night? me til the daylight? 34 35!!!
Answers
The answer is 69
(ariana grande) teehee can u stay up all night me to the daylight 34 35!!!!
Calculate the area and perimeter
Answers
Answer:
75cm
Step-by-step explanation:
(5*3)+(5*5)+(7*5)
Use the graph of y = -x2 - 2x + 3 to solve
the equation -x2 - 2x + 3 = 0. What are
the solutions?
Answers
y
+
2
x
=
3
y
=
−
2
x
+
3
When
x
=
0
, y-intercept
=
3
coordinates
(
0
,
3
)
When
y
=
0
, x-intercept
=
3
2
coordinates
(
3
2
,
0
)
Knowing two points, we can draw the graph.
graph{-2x + 3 [-10, 10, -5, 5]}
Answer
Please Help!! Will mark Brainliest!!
need to know the coordinates for a grid.
Answers
Answer:
A'(6, 3), B'(–2, 1), and C'(1, 7).
What is 1.92 divided by 3?
Explain.
Answers
Answer:
0.64.
Step-by-step explanation:
In order to solve this seemingly simple problem, you need to remove the decimal from 1.92 and act like it isn't there. Once you've divided 192 by 3 to get 64, you can put the decimal place back where it belongs and get your final answer of 0.64.
I NEED HELPPPPPPPPPPPP
Answers
Answer:A
Step-by-step explanation:
How many solutions does 8p + 1 = 4p +2 have?
Answers
Step-by-step explanation:
8p + 1 = 4p + 2
8p - 4p = 2 - 1
4p=1
4p/4p=1/4p
p=0.25
The equation 8p + 1 = 4p + 2 have one solution which is p = 0.25.
What is an Equation?Equations are mathematical statements where we write two expressions which is equal to each other. There will be a left hand side and a right hand side on either sides of an equation.
The main classes of equations in algebra are linear equations and polynomial equations. On these include quadratic equations, cubic equations, differential equations and so on.
We have the expressions 8p + 1 and 4p + 1 equal to each other.
8p + 1 = 4p + 2
Subtracting the term 4p on both sides, we get,
8p + 1 - 4p = 4p + 2 - 4p
4p + 1 = 2
Subtracting both sides with 1,we get,
4p + 1 - 1 = 2 - 1
4p = 1
Dividing both sides by 4, we get,
p = 1/4
p = 0.25
Hence there is one solution to the equation 8p + 1 = 4p + 2 which is p = 0.25.
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Select the correct answer. Which is the graph of the function f(x) = x^3 - 3x^2 - 4x?
Answers
Answer:
A
Step-by-step explanation:
The graph of function is given. The correct graph is D.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given,
function f(x) = x³ - 3x² - 4x
The properties of the function f(x) = x3 - 3x2 - 4x are as follows:
1) Factors: x (x+1) (x-4)
2) Zeros/roots: x = 0, x = -1, and x=4.
3) Leading coefficient is positive.
4) The graph rises to -1 on the x-axis before descending to cross through 0. It turns up once more through 4, then finishes by turning toward positive infinity.
5) Its graph resembles an upside-down S.
6) Its relative maximum value is 1.128, while its relative minimum value is -13.128.
The graph is given in the attached image.
Therefore, function graph is D.
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Consider the system of inequalities below. Which of the following points are in the solution set? Select all that
apply.
3y S-2x +18
-4y -x+ 12
(-4, -3)
(1,6)
0 (2, 4)
(5,-5)
(3,2)
(0,0)
Answers
Answer:
the anwers is the 5,5
u hope this hepl
Answer:
(3,2)
(2,4)
(-4,-3)
I have the same test and I got it right
in a carton, 3 out of 10 glasses are cracked. what percent of glasses are not cracked?
Answers
Answer:
70%
Step-by-step explanation:
[tex]\frac{3}{10}[/tex] = [tex]\frac{30}{100}[/tex] = 30%
100 - 30 = 70
Answer:
70% are not cracked
Step-by-step explanation:
So 10 = 100%
So each bottle equals 10%
If 3 glasses are cracked it would be 30% cracked
So subtract 30 from 100 and you get 70%
Which first step for solving the given system using substitution results in an equation without fractions
3x + y = 9
5x-3y=1
Slove for x in the first equation
Solve for y in the first equation
Solve for x in the second equation
Solve for y in the second equation
Answers
Answer:
Solve for x in the second equation.
Step-by-step explanation:
Subtract 3x from both sides and you can substitute y in the second equation for the first equation and solve for x.
Solving for x in the second equation is the first step in solving the given system using substitution resulting in an equation without fractions. Option B is correct.
What is the system of two equations?A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.
The given equation in the problem is;
Equation 1: 3x + y = 9
Equation 2: 5x-3y=1
Equation 1;
3x + y = 9
y=9-3x
Equation 2:
5x-3y=1
5x+3(9-3x)=1
5x+27-9x=1
-4x=-26
x =6.5
Hence, solving for x in the second equation is the first step in solving the given system using substitution resulting in an equation without fractions.
Hence, option B is correct.
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I need someones help !!!!!!!!ASAPPP
Answers
Answer:
c
Step-by-step explanation:
16. Which ocean is the smallest of the five oceans?
Indian Ocean
Arctic Ocean
Southern Ocean
Atlantic Ocean
Answers
Answer.....:
Arctic Ocean
Which expression is equivalent to -6(8 + 12)
a. (-6) • 8 + 12
b. (-6) • 8 + (-6) • 12
c. -68 + 612
d. (-6) + 8 • (-6) + 12
Answers
Answer:
b
Step-by-step explanation:
2 QUESTIONS 20 POINTS
Which of the following represents a temperature of 0°C?
A.
room temperature of water
B.
freezing temperature of water
C.
average temperature of ocean water
D.
boiling point of water
QUESTION 2
The table below shows the cake sales at Swanson's Bakery in the last hour.
Type of Cake Number Sold
Marble Cake 7
Coffee Cake 3
Carrot Cake 5
Cheesecake 12
Red Velvet Cake 8
Fruitcake 1
Which of these represents the ratio of the red velvet cakes sold to the total cakes sold?
3 to 2
2 to 9
2:3
9:2
Answers
Answer is C. Freezing temperatures of water
Select the correct answer. Which graph represents this equation? y − 4 = -3(x + 5) A. B. C. D.
Answers
Answer:
B
Step-by-step explanation:
Yellow////////////////////////////
Which sequence represents the function f(x)=x−3, with a domain of natural numbers?
A) {4,5,6,7,…}
B) {−3,−6,−9,−12,…}
C) {−2,−1,0,1,…}
D) {−3,−2,−1,0,…}
Answers
Answer:
C.
Step-by-step explanation:
The natural numbers are 1, 2, 3, 4......
f(x) = x - 3 gives
1-3, 2-3, 3-3, 4-3 ..
= -2, -1, 0, 1 ..
The sequence represents the function f(x)=x−3, with a domain of natural numbers will be {-2,-1,0,1.............}. The correct option is C.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. The collection of possible inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function.
The natural numbers are 1, 2, 3, and 4......
f(x) = x - 3 gives
f(1) = 1 - 3 = -2
f(2) = 2-3 = -1
f(3) = 3-3 = 0
f(4) = 4-3 = 1
The sequence is {-2, -1, 0, 1 ..}. Therefore, the sequence represents the function f(x)=x−3, with a domain of natural numbers will be {-2,-1,0,1.............}. The correct option is C.
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How many solutions does the nonlinear system of equations graphed below
have?
Answers
Answer:
two which is B
Step-by-step explanation:
the lines only intersect twice
Answer the three following question and will mark Brainliest
Answers
at local grocery store, a bottle of water costs $1.25. At a baseball stadium, the cost of a bottle of the same brand of water increases by 80%. What is the cost of a bottle of water at the stadium in dollars and cents?
Answers
Answer: $2.30
1: 1.28 x 80% = 1.024
2: 1.28 + 1.024 = 2.304
А
D
F
B
G
If ABC is similar to ADEF, the mZA = 50° and mZE = 70°, what is mZC?
A)
60
B)
70°
C)
90
D)
120
Answers
Answer:
m < C = 60
...........
Step-by-step explanation:
m < B = m < E = 70
m < C= 180 - ( 70+50 ) = 60
tell me SCERET????????????????????????????
Answers
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Answer:
e.
Step-by-step explanation:
Mai and Noah also solved the equation, but some of their steps have errors. Fid the incorrect step in each solution and explain why it is incorrect.
Answers
Answer:
what equation
Step-by-step explanation:
What is the perimeter of this polygon?
a
28 units
26 units
22 units
24 units
Answers
According to the order of operations, which of the following operations should be completed first in the following expression?
2(5 - 3)2 + 62
add (5 - 3) to 6 2
simplify (5 - 3)
multiply (5 - 3) by 2
square (5 - 3)
Answers
Answer:simplify (5-3)
Step-by-step explanation:
