How many solutions does the equation below have.
*The answer choices are below*
==========================================
Work Shown:
2(b+3)-17 = 3b-7+b
2b+6-17 = 4b-7
2b-11 = 4b-7
-11+7 = 4b-2b
-4 = 2b
2b = -4
b = -4/2
b = -2
There is one solution and it is b = -2
A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.
Answer:
The answer is one solution
Step-by-step explanation:
1)2(b+3)-17 = 3b-7+b
2)2b+6-17 = 4b-7
3)2b-11 = 4b-7
4)-11+7 = 4b-2b
5)-4 = 2b
6)2b = -4
7)b = -4/2
Final your answer is b = -2
Simplity
4/x+1 - 3/x-1
Answer:
[tex]\frac{1}{x}[/tex]
or
[tex]\frac{4x^{2} -3}{x}[/tex]
Step-by-step explanation:
can i have brainliest?
Which equation represents a linear function?
equation 1: y=2x^2+1
equation 2: y=8x+1
equation 3:y=5x^3-1
equation 4: y^2=4x-1
a. equation 1
b. equation 2
c. equation 3
d. equation 4
I need an answer by today ASAP! please!
Answer:
Equation 2
Step-by-step explanation:
Equation 2 is the only one possible to be linear. All of the other answers have an exponents. For instance, say you have y=x^3. For 1, it is 1*1*1. (1,1). For 2, it is 2*2*2. (2,8). For 3, 3*3*3. (3,27) It escalates into a curve and is non-linear.
Find the perimeter of the figure.
Answer:
17x-3
Step-by-step explanation:
6x+9 + 3x-2 = 9x+7
2(4x-5) = 8x-10
9x+7 + 8x-10 = 17x-3
Answer:
Step-by-step explanation:
Answer:
17x-3
Step-by-step explanation:
6x+9 + 3x-2 = 9x+7
2(4x-5) = 8x-10
9x+7 + 8x-10 = 17x-3
can someone help me please!!!
The table shows the linear relationship between the number of hours Francis worked, x, and
the amount of money Francis earned, y.
Answer: 14 per hour
Step-by-step explanation: divide amount earned by hours worked
PLEASE HELP!!!!
3(2x -5)= 1
And explain
Answer:
x = 8/3
Step-by-step explanation:
distribute the 3 with everything in the parantheses
3(2x-5) --> 6x -15 = 1
move the 15 to the right side of the equation
6x = 16 and then divide by 6
x = 8/3
Answer:
x = 8/3
Step-by-step explanation:
3 ( 2x - 5 ) = 1
→ Expand out bracket
6x - 15 = 1
→ Add 15 to both sides to isolate 6x
6x = 16
→ Divide both sides by 6 to isolate x
x = 8/3
You are selling candy bars for a fundraiser. you want to sell at least $200. If snickers cost $2 per bar and M&M's cost $3 per bag, then write an inequality that represents all the possible combinations you can sell to meet your goal.
Answer:
Step-by-step explanation:
Goal = > $2500
Amount raised = $700
Amount needed to raise = $2500 - 700 = $1800
Number of candy bars needed = x
Price of a candy bar = $1.50
1.5x > 1800
x > 1800 ÷ 1.5
x > 1200
Answer: They need to sell more than 1200 candy bars.
HELP!!!! Please help me!!!
Answer:
The answer you have checked is the correct one.
The greater of two integers is 10 more than twice the smaller integer. The sum of the two integers is -8. Find the integers.
Answer:
-6, -2
Step-by-step explanation:
A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?
Answer:
-10 points
Step-by-step explanation:
A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?
Let us say Initial number of points = 0
Hence,
He answers 2 incorrectly = 0 - 50 - 50
= -100
He answers 3 correctly =-100 + 30 + 30 + 30
His final score = -100 + 30 + 30 + 30
= -10 points
Learning task 2
A. Solve the systems of equations by a) graphing b) elimination c) substitution
Eq. 1: 2x - 3y = -1; Eq. 2: y = x - 1
B. Solve the problem using any method.
The sum of two numbers is 32 and the difference is 2. Find the numbers
The given equations are
[tex]2x-3y=-1\cdots(i) \\\\y=x-1\cdots(ii)[/tex]
(a) Solution by graphing both the equations:
Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.
From the graph, the point of intersection is (4,3)).
Hence, the required solution is (4,3).
(b) Solution by elimination method:
Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have
[tex]-2x+2y=-2\cdots(iii)[/tex]
Add equations (i) and (iii), we have
2x-3y=-1
-2x+2y=-2
__________
[tex]\Rightarrow -3y+2y=-1-2\\\\ \Rightarrow -y=-3\\\\ \Rightarrow y=3.[/tex]
Putting the value of y=3 in equation (i), we have
[tex]2x-3\times 3=-1 \\\\\Rightarrow 2x=-1+9=8 \\\\\Rightarrow x=8/2=4[/tex]
Hence, the required solution is (4,4).
(c) Solution by substitution method:
Substituting the value of y from equation (ii) to equation (i), we have
[tex]2x-3(x-1)=-1 \\\\\Rightarrow 2x-3x+3=-1 \\\\\Rightarrow -x=-1-4=-4 \\\\\Rightarrow x=4[/tex]
Putting the value of x=4 in equation (i), we have
[tex]y=4-1=3[/tex].
Hence, the required solution is (4,3).
If r = 1 and θ = 4π/3 what is the approximate arc length
Answer: 4.189 units
Step-by-step explanation:
AP EX
As per linear equation, the required approximate arc length is 4.19 units.
What is a linear equation?"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
Given, length of the radius (r) = 1 units
The value of the given angle(θ) = 4π/3 radian.
Therefore, the approximate arc length is
= length of the radius × value of the given angle
= r × θ
= 1 × 4π/3 units
= 4π/3 units
= 4.19 units
The required approximate arc length is 4.19 units.
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8. The table shows the linear relationship between the balance of a student's savings
account and the number of weeks he has been saving.
Savings Account
Week
1 3
8 13
Balance
53
88
(dollars)
123
0
6
32
39
74
Based on the table, what was the rate of change of the balance of the student's
savings account in dollars and cents per week?
Answer:
7 dollars
Step-by-step explanation:
What is the y-intercept of this line?
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!
The diagram shows a triangle.
3a
95°
34°
What is the value of a?
Is the relation a function?
Answer:
Yes
Step-by-step explanation:
There is only one y value for each x value. That is the definition of a function.
Hope I helped!!!
Answer:
i believe all you have to do is divide the (x) nums into the (y) nums and if there whole nums it is a function
Step-by-step explanation:
6. What are the solutions for p2 - 16 = 0 ?
A) {-4,4} B) {4}
C) {-8, 8} D) {8}
Answer:
A
Step-by-step explanation:
Given
p² - 16 = 0 ( add 16 to both sides )
p² = 16 ( take the square root of both sides )
p = ± [tex]\sqrt{16}[/tex] = ± 4
Thus solution is { - 4, 4 } → A
A line segment AB has the coordinates A (2,3) and B ( 8,11). Answer the following question. What is the slope of AB?
Answer:
4/3
Step-by-step explanation:
(Y2-y1)/(x2-×1) is slope for 2 points
(11-3)/(8-2)
11-3=8
8-2=6
8/6=4/3
Answer: The slope is m = 4/3
Eloise bought 3 boxes of crackers to share with her friends over the weekend. They ate 1/2 box of crackers on Saturday and 2/3 box of crackers on Sunday.
How many boxes of crackers were left over?
1 3/5 boxes
1 5/6 boxes
2 3/5 boxes
2 5/6 boxes
Answer:
C.) 1 5/b boxes
Number of boxes left over
= 3 - 1/2 - 2/3
Convert each fraction to one in terms of the LCM:
= 18/6 - 3/6 - 4/6
= 11/6
= 1 5/6 boxes.
The solution is Option B.
The number of boxes of crackers left with Eloise is 1 5/6 boxes of crackers
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of boxes of crackers left with Eloise be = A
Now , the total number of boxes of crackers be = 3 boxes
The number of boxes of crackers ate on Saturday = 1/2
The number of boxes of crackers ate on Sunday = 2/3
So , the equation will be
Number of boxes of crackers left with Eloise A = total number of boxes of crackers - number of boxes of crackers ate on Saturday - number of boxes of crackers ate on Sunday
Substituting the values in the equation , we get
Number of boxes of crackers left with Eloise A = 3 - 1/2 - 1/3
On simplifying the equation , we get
Number of boxes of crackers left with Eloise A = 5/2 - 2/3
Number of boxes of crackers left with Eloise A = ( 15 - 4 ) / 6
Number of boxes of crackers left with Eloise A = 11/6
Number of boxes of crackers left with Eloise A = 1 5/6 boxes
Therefore , the value of A is 1 5/6 boxes
Hence , the number of boxes left is 1 5/6 boxes of crackers
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What’s the answer to this math problem
Answer:$240.00
Step-by-step explanation:
$240.00
Answer:
It depends on how much the computer costs originally and the model of computer.
Step-by-step explanation:
Say the computer costs 151.98 USD with the tax added, then the computer would cost 148.00 USD without tax. Or if the computer costs 162.79 USD with the tx added, then the computer would cost 160.00 USD without tax. It's the same for the rest but it also depends on the model of computer. (My calculations of adding 3 or 2 USD as the tax is just for example, i don't know how they calculate tax for computers)
151.98-148.00= 3.98$
162.79-160.00=2.79$
Find the value of 4/5 divided by 8/15. You must simplify.
Answer:
3/2
Step-by-step explanation:
Assuming you meant fractions, to divide them, you must multiply the reciprocal of that fraction. You'll then have:
4/5x15/8
Reduce the numbers of the greatest common factor which is 5:
4x3/8
Reduce the numbers of the greatest common factor which is now 4:
3/2 is your answer
The worst feeling in the world: Getting earbuds ripped out of your ears. Whats yours?
Answer:
When you're listening to heartfelt emotional music and you're about to cry and then it starts buffering explanation:
Mood killer
Answer:
being abandoned by my significant other, being unable to talk to my significant other, just being alone and getting abandoned in general
Step-by-step explanation:
Find the slope between the following two points: (3, 1), (5, 4).
Answer:
3/2
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
HELP PLEASE ITS MY LAST QUESTION!!
Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-up fee of $250, and it charges $6.00 to burn each CD.
a) Define the variables:
Let n = _______
Let C = _______
Answer:
N=CD C=2-3 sentance
Step-by-step explanation:
_______ ÷ 39 = 1755
_______÷ 1755 = 39
say how you did it or show a pic of how you did it if you show a pic of how you did the work then ill give you the crown that i forgot the name of it
Answer:
Step-by-step explanation:
1755*39= 68445
68445/39=1755
68445/1755=39
Jessica rented a truck to move into another apartment. The rental charge is $140 per day plus $0.35 per mile. Write an equation to determine x, the number of miles she can drive the truck if the cost is y.
Answer:
y=0.35x+140Step-by-step explanation:
Step one:
given data
The rental charge is $140 per day
additional charges per mile driven = $0.35 per mile
Step two:
Required
The expression for the total charges
let the number of miles be x, and the total charges be y
the expression for the total charges is
y=0.35x+140
helppp
algebraaaaa what is sum of polynomials
Answer:
3x^2+6x+4
Step-by-step explanation:
6x+7+x^2+2x^2-3
3x^2+(7-3)+6x
3x^2+6x+4
You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability of pulling out a green marble?
Answer:
20%
Step-by-step explanation:
Answer:
6/30 Simplified to 1/5
Step-by-step explanation:
Add the total number of marbles together.
Then put the number of green marbles over the total number of marbles.
Now you want to simplify. 6 is divisible by 6 and equals 1.
30 is also divisible by 6 and equals 5.
Hope this helps.
If Robin typed 15 characters in 5 seconds, 30 characters in 10 seconds, and
45 characters in 15 seconds, how many characters do you think she would
type in 20 seconds?
A. 50
B. 35
C. 90
D. 60
Answer:
robin would type D 60 characters in 20 seconds