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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
What Is the solution of the system? HELPPPPPP
Answer:
2,2
Step-by-step explanation:
the lines intercept at 2,2
Find the slope (3,6)
(3,-3) need in 5 minutes
Answer: The slope is undefined.
Step-by-step explanation:
Using the formula given, find the difference in the y coordinates of the points and divide it by the x coordinates.
(3,6)
(3,-3)
y coordinates: 6 - (-3) = 9
x coordinates: 3- 3 = 0
9/0 = undefined.
Any number being divided by 0 is undefined because you can't divide something by anything.
Also remember that if a line is vertical through any of the x coordinate, the slope will always be undefined and the equation of line is x = 3
Plz help!!!
Sarah and Jake collect bottle caps. Sarah started with 25 bottle caps
and gave away X number of them. Jake started with 40 bottle caps and gave
away 2 times as many as Sarah gave away. If they now how the same number of
bottle caps, how many bottle caps do they now have?
Answer:
10
Step-by-step explanation:
use the variable x and replace it with a 15 and use the same equation, it is the only number that fits
Please help!!!! With 8 and 9
Answer:
8. slope: = 1/2
9. equation: y=1/2x
Find the slope and the y-intercept of the graph of the linear equation y=5/4x-7. The slope is ?, and the y-intercept is ?.
Answer:
Not Linear.
Step-by-step explanation:
Answer:
5/4 slope
-7 y intercept.
Step-by-step explanation:
The slope is the number in front of the x. The number in front of the x is 5/4. The slope is 5/4
1. The y intercept is whatever is behind the x or 0 if there is no number following the x.
2. The y intercept is also characterized by being on the same side of the equation as the x.
3. Finally it has no x in it.
In this case the y intercept is -7
Examples
y + 2 = x 2 is not the y intercept. subtract 2 from both sides. y = x - 2. Therefore -2 is the y intercept.
2y = 4x + 6 4 is not the slope. You have to divide by y = 2x+3. So 2 is the slope and 0,3 is the y intercept.
Use the graph below to answer the question.
On a coordinate plane, a horizontal line is at y = 4.
What is the slope of a line that is parallel to the line in the graph?
Answer:
0
Step-by-step explanation:
edg 2020
Answer:
0
Step-by-step explanation:
if its parallel then its gonna be the same slope
Which statement is true about a shape and its dilation? A.The corresponding angles of a shape and its dilation are congruent. B.The corresponding angles of a shape and its dilation are not congruent. C.The side lengths of a dilation are always smaller than the corresponding side lengths of the original shape. D.The corresponding side lengths of a shape and its dilation are congruent.
Answer:
A.The corresponding angles of a shape and its dilation are congruent.
Step-by-step explanation:
Dilation is a type of rigid transformation in which the dimension of a shape is either increased or decreased to produce its image. It involves a change in the dimensions of the shape by a required factor. In the process, the side lengths of the image are different to the original lengths. But the angles are not affected.
Thus, the respective angles of the given shape and its image are the same.
The appropriate answer to the given question is A.
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. PLS ANSWER CORRECT ANSWER WILL GET BRAINLIEST 100 POINTSSS
Answer:
T
n
+
1
=
T
n
+
d
T
1
=
a
Where the first term is equal to
a
and the common difference is
d
.
Option a can be expressed as follows:
T
n
+
1
=
T
n
+
4
T
1
=
1
Option c can be expressed as follows:
T
n
+
1
=
T
n
−
4
T
1
=
1
Hence both are arithmetic sequences (the other two options are geometric sequences with common ratios of 4 and 0.25 respectively)
Hope that helps :)
Step-by-step explanation:
Which inequality is a true statement?
Select each correct answer.
−5≥−7
−5≤−7
−5=−7
−5<−7
−5>−7
Answer:
It is the second one and the last one.
Step-by-step explanation:
A person at a local airport spotted an airplane at an angle of depression of 23° on the tarmac. If the person saw the plane from the airport tower that is 120 ft high, how far away is the plane from the airport tower?
Answer: 282. 7 feets
Step-by-step explanation:
Height = 120 ft
θ = 23°
To obtain the distance (d) of plane from airport tower :
Tan θ = h / d
Tan 23 = 120 / d
0.4244748 * d = 120
d = 120 / 0.4244748
d = 282.70229
d = 282.7 feets
What is the graph of the given function?
f(x) = -2(x – 3)2 + 4
Graph
Answer:
the graph attached is the answer
What is five times 5
Answer:
It is 25
Step-by-step explanation: 5 10 15 20 25
5*5 =25
Hope this help:)
Given L(-4, 3) and M(-7, -2), what is the length of segment LM?
Answer:
[tex]d = \sqrt{34}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point L (-4, 3)
Point M (-7, -2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(-7+4)^2+(-2-3)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(-3)^2+(-5)^2}[/tex]Exponents: [tex]d = \sqrt{9+25}[/tex]Add: [tex]d = \sqrt{34}[/tex]
Learning Task 2 without graphing tell whether the graphs of the system of equations are parallel, perpendicular,intersecting or coinciding
1.y = x + 7 and y = - x + 2
2.Y = 5x and y = 5x - 1
3. 2x + y = 1 and 2y + 4x = 2
4. Y = 2x + 3 and y = -x - 4
Answer:
1.Perpendicular
2. Parallel
3. Parallel
4.
Step-by-step explanation:
If two lines are parallel, slope is equal
If perpendicular, product of slopes is -1
y = mx + c is the general equation of a line form
m represents slope
1. slope is -1 and 1, they are perpendicular
2. Slope is 5 in both cases, they are parallel
3. slope is equal; equation ii is same as i if rewritten
They are parallel
4.
What is the distance between the points (1,4) and (3,7)
Answer:
[tex]2\sqrt{10}[/tex]
Step-by-step explanation:
To find the distance between points, we can use the following formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }[/tex]
We have two coordinates; (1, 4) and (3, 7)
Let's plug these values into the equation
[tex]d = \sqrt{(3 - 1)^2 + (7 - 1)^2} = 2\sqrt{10}[/tex]
Good luck!
Perry and Alberto are selling fruit for a school fundraiser. Customers can buy small boxes of
tangerines and large boxes of tangerines. Perry sold 7 small boxes of tangerines and 12 large
boxes of tangerines for a total of $283. Alberto sold 8 small boxes of tangerines and 6 large
boxes of tangerines for a total of $200. Find the cost each of one small box of tangerines and one
large box of tangerines.
Answer: Small box: $13; Large box: $16
Explanation:
Make two individual equations for Perry and Alberto. Perry's equation would be 7x+12y=283. Alberto's equation would be 8x+6y=200. The best way to find the variables is to change the equations into slope-intercept form. Perry's equation would change to y=-7/12x+283/12 and Albert's equation would change to y=-4/3x+100/3. You can try substituting and plugging -4/3x+100/3 into the other equation, so they equal each other. But, you can also just graph the equation into a graphing calculator or Desmos. When graphing it, the point of intersection should be (13,16), so the cost of a small box tangerines is $13 and a large box of tangerines is $16.
what is the slope of (4,3) and (1,-1) the line is positive
The slope would be 1.33
88 x 88/22 x 11 x 11
Answer:
42592
Step-by-step explanation:
Answer:42592
Step-by-step explanation: So what you do is do 88 times 88/22 and so on :)
State if the two triangles are congruent. If they are, state how you know.
A) Yes, by SSS
B) No, may not be determined
C) Yes, by SAS
D) Yes, by ASA
E) Yes, by AAS
Answer:
CCCC YES BY SASA
Step-by-step explanation:
Thank you guys have been so helpful!
Tell me what your favorite color.
Match the correct items. 1. checkbook record outstanding checks 2. service charge register 3. previous and ending balances reconciliation 4. verifies bank and checkbook balances agree once a month 5. bank statement monthly fee 6. not included in bank statement account summary
Answer:
I will answer below:
Step-by-step explanation:
Checkbook Record -> Register
Service Charge -> Monthly Fee
Previous and ending balances -> Account Summary
Verifies bank and checkbook
balances agree -> Reconciliation
Bank Statement -> Once a month
Not included in the bank statement -> Outstanding checks
Sorry this is kind of late!
Find the distance between the pair of points (2,-5) and (3,-7).
Answer:
2.24Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(2,-5)\quad\implies\quad x_1=2\,,\ \ y_1=-5\\\\(3,-7)\quad\implies\quad x_2=3\,,\ \ y_2=-7\\\\d=\sqrt{(3-2)^2+(-7+5)^2}= \sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt5=2.236....\approx2.24[/tex]
7 + 13а – 3- 20 + 2а
7 + 13а – 3- 20 + 2а
combine like terms
7+13a+2a-3-20
7+15a-3-20
then do -3-20
-3-20=-23
7+15a-23
7-23=-16
15a-16
answer:
15a-16 or -16+15a
Which expression is the simplest form of
(x4/7)^7
Answer:
7
Step-by-step explanation:
5h + 10 = 4h + h + 15
Answer:
h = no solution
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
5h + 10 = 5h + 15
Step 2: Solve for h
Subtract 5h on both sides: 10 ≠ 15Here we see that 10 does not equal 15.
∴ h has no solution.
Final Answer: No Solution
Steps/Reasons:
Step 1: Simplify [tex]4h + h + 15[/tex] to [tex]5h + 15[/tex].
[tex]5h + 10 = 5h + 15[/tex]
Step 2: Cancel [tex]5h[/tex] from both sides.
[tex]10 = 15[/tex]
Step 3: Because [tex]10 = 15[/tex] is false, there is no solution.
No Solution
~I hope I helped :)~
The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today. Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
Answer:
Please check solution for answer
Step-by-step explanation:
The general equation of for the slope of a line is
y = mx + c
where m is slope and c is the y-intercept
a). Yes it is in the slope-intercept form
b) The slope would represent the amount of money in dollars per week that is in the wallet
c) The y-intercept would be 125 and it is the amount of money present in the wallet before today
d) The slope would have a unit of dollars per week
what is 3,910 divided by 25 using the power of 10
A: 25
B: 250
C: 25,000
Answer:
izuocha is superior
Step-by-step explanation:
Answer:
ochaochaochaocha
Step-by-step explanation:
sorry i trying to get attention from someone
will mark brainliest for the correct answer! just read the english, okay? the other language is the translation for the english.
Answer:
Step-by-step explanation:
Given equation is,
y = 3x² - 6x + 11
a). y = 3x² - 6x + 11
= 3(x² - 2x) + 11
= 3(x² -2x + 1 - 1) + 11
= 3(x² - 2x + 1) - 3 + 11
= 3(x - 1)² + 8
Comparing this equation with y = a(x - b)² + c
a = 3, b = 1 and c = 8
b). For minimum value of x,
Since, vertex of the graph is given by (b, c),
Minimum value of x will be,
x = b
x = 1
c). Vertex of the parabola → (b, c)
→ (1, 8)
For y-intercept,
By substituting x = 0 in the equation,
y = 3(0 - 1)² + 8
y = 11
Now we can sketch the graph by using the table of input - output values.
x -2 -1 0 1 2 3
y 35 20 11 8 11 20
Write an expression and solve. Cole wants to buy a shirt for $25. The sales tax
is 8%. How much will the shirt cost?
Show your work:
A. $27
B. $33
C. $45
D. $227
Answer:
A
Step-by-step explanation:
8% of 25 is 2 so 25 + 2 =27
g(x)=−x−2, find g(1)
Answer:
g(1) = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = -x - 2
g(1) is x = 1
Step 2: Evaluate
Substitute in x: g(1) = -1 - 2Subtract: g(1) = -3