Answers
Answer:
1: m=2
2: g=7
3: y=13
4: a=-27
5: x=15
6: w=-18
Answer:
1. m = -2
2. g = 7
3. y = 13
4. a = -36
5. x = 15
6. w = -18
Step-by-step explanation:
1. Make the constant to the right-hand side and change its sign
a = 10 - 12
Calculate the difference a = -2
Solution
a = -2
2. Move variable to the left-hand side and change its sign
-g - 2 = - 9
Move constant to the right-hand side and change its sign
-g = -9 + 2
Calculate the sum
-g = -7
Change the signs on both sides of the equation
g = 7
Solution
g = 7
3. Divide both sides of the equation by - 7
-7y ÷ (-7) = -91 ÷(-7)
Any expression divided by itself equals 1
y = 91 ÷ (-7)
Divide two negatives equals a positive: (-) ÷(-)=(+)
y = 91 ÷ 7
Calculate the quotient
y = 13
Solution
y = 13
4. Multiply both sides of the equation by 9
9 x a/9 = 9 x (-4)
Reduce the number with the greatest common factor 9
a = 9 x (-4)
Multiply a positive and a negative equals a negative: (+)x(-)=(-)
a = -9 x 4
Multiply the numbers
a = -36
Solution
a = -36
5. Multiply both sides of the equation by 3/2
3/2 × 2/3x = 3/2 × 10
Reduce the numbers with the greatest common factor 3
1/2 × 2x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3 x 5
Multiply the numbers
x = 15
Solution
x = 15
6. Multiply both sides of the equation by 9/4
9/4 x 4/9w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 9
1/4 x 4w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 4
w = 9/4 x (-8)
multiplying a positive and a negative equals and negative: (+)x(-)=(-)
w = -9/4 x 8
Reduce the numbers with the greatest common factor 4
w = -9 x 2
Multiply the numbers
w = -18
Solution
w = -18
Related Questions
Which of the following statements is true for all sets A,B and C? Give a proof
or a counter example.
(a) A ⊆ ((A∩B)∪C).
(b) (A∪B)∩C = (A∩B)∪C.
(c) (A\B)∩C = (A∩C) \ (B∩C).
Answers
Answer:
(a) and (b) are not true in general. Refer to the explanations below for counterexamples.
It can be shown that (c) is indeed true.
Step-by-step explanation:
This explanation will use a lot of empty sets [tex]\phi[/tex] just to keep the counterexamples simple.
(a)Note that [tex]A \cap B[/tex] can well be smaller than [tex]A[/tex]. It should be alarming that the question is claiming [tex]A\![/tex] to be a subset of something that can be smaller than [tex]\! A[/tex]. Here's a counterexample that dramatize this observation:
Consider:
[tex]A = \left\lbrace 1 \right\rbrace[/tex].[tex]B = \phi[/tex] (an empty set, same as [tex]\left\lbrace \right\rbrace[/tex].)[tex]C = \phi[/tex] (another empty set.)The intersection of an empty set with another set should still be an empty set:
[tex]A \cap B = \left\lbrace 1\right\rbrace \cap \left\lbrace\right\rbrace = \left\lbrace\right\rbrace[/tex].
The union of two empty sets should also be an empty set:
[tex]((A \cap B) \cup C) = \left\lbrace\right\rbrace \cup \left\lbrace\right\rbrace = \left\lbrace\right\rbrace[/tex].
Apparently, the one-element set [tex]A = \left\lbrace 1 \right\rbrace[/tex] isn't a subset of an empty set. [tex]A \not \subseteq ((A\cap B) \cup C)[/tex]. Contradiction.
(b)Consider the same counterexample
[tex]A = \left\lbrace 1 \right\rbrace[/tex].[tex]B = \phi[/tex] (an empty set, same as [tex]\left\lbrace \right\rbrace[/tex].)[tex]C = \left\lbrace 2 \right\rbrace[/tex] (another empty set.)Left-hand side:
[tex](A \cup B) \cap C = \left(\left\lbrace 1 \right\rbrace \cup \left\lbrace \right\rbrace\right) \cap \left\lbrace 2 \right\rbrace\right = \left\lbrace 1 \right\rbrace \cap \left\lbrace 2 \right\rbrace = \left\lbrace \right\rbrace[/tex].
Right-hand side:
[tex](A \cap B) \cup C = \left(\left\lbrace 1 \right\rbrace \cap \left\lbrace \right\rbrace\right) \cup \left\lbrace 2 \right\rbrace\right = \left\lbrace \right\rbrace \cup \left\lbrace 2 \right\rbrace = \left\lbrace 2 \right\rbrace[/tex].
Apparently, the empty set on the left-hand side [tex]\left\lbrace \right\rbrace[/tex] is not the same as the [tex]\left\lbrace 2 \right\rbrace[/tex] on the right-hand side. Contradiction.
(c)Part one: show that left-hand side is a subset of the right-hand side.
Let [tex]x[/tex] be a member of the set on the left-hand side.
[tex]x \in (A \backslash B) \cap C[/tex].
[tex]\implies x\in A \backslash B[/tex] and [tex]x \in C[/tex] (the right arrow here reads "implies".)
[tex]\implies x \in A[/tex] and [tex]x \not\in B[/tex] and [tex]x \in C[/tex].
[tex]\implies (x \in A\cap C)[/tex] and [tex]x \not\in B \cap C[/tex].
[tex]\implies x \in (A \cap C) \backslash (B \cap C)[/tex].
Note that [tex]x \in (A \backslash B) \cap C[/tex] (set on the left-hand side) implies that [tex]x \in (A \cap C) \backslash (B \cap C)[/tex] (set on the right-hand side.)
Therefore:
[tex](A \backslash B) \cap C \subseteq (A \cap C) \backslash (B \cap C)[/tex].
Part two: show that the right-hand side is a subset of the left-hand side. This part is slightly more involved than the first part.
Let [tex]x[/tex] be a member of the set on the right-hand side.
[tex]x \in (A \cap C) \backslash (B \cap C)[/tex].
[tex]\implies x \in A \cap C[/tex] and [tex]x \not\in B \cap C[/tex].
Note that [tex]x \not\in B \cap C[/tex] is equivalent to:
[tex]x \not \in B[/tex], OR[tex]x \not\in C[/tex], ORboth [tex]x \not\in B[/tex] AND [tex]x \not \in C[/tex].However, [tex]x \in A \cap C[/tex] implies that [tex]x \in A[/tex] AND [tex]x \in C[/tex].
The fact that [tex]x \in C[/tex] means that the only possibility that [tex]x \not\in B \cap C[/tex] is [tex]x \not \in B[/tex].
To reiterate: if [tex]x \not \in C[/tex], then the assumption that [tex]x \in A \cap C[/tex] would not be true any more. Therefore, the only possibility is that [tex]x \not \in B[/tex].
Therefore, [tex]x \in (A \backslash B)\cap C[/tex].
In other words, [tex]x \in (A \cap C) \backslash (B \cap C) \implies x \in (A \backslash B)\cap C[/tex].
[tex](A \cap C) \backslash (B \cap C) \subseteq (A \backslash B)\cap C[/tex].
Combine these two parts to obtain: [tex](A \backslash B) \cap C = (A \cap C) \backslash (B \cap C)[/tex].
Graph the line with this equation.
y= 2x + 2
Answers
Answer: it would be 2 to the right and 2 up
Step-by-step explanation:
2 right 2 up
How do you subtract an integer from another integer without using
number line? Give an example.
a
Answers
Answer:
9-8=1
7-(-6)=13
Step-by-step explanation:
you just add it the normal way.
Answer:
See below
Step-by-step explanation:
See following examples
a and b
a- ba and -b
a - (-b) = a + b-a and b
-a - b = -(a + b)-a and - b
-a - (-b) = -a + b = b - aHanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests
every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
4
6
10
Answers
plz helpp
Statement 2)
A)Addition property
B) Definition of midpoint
C) Definition of equality
D) Segment addition postulate
Reason 6)
A) Subtraction property
B) Transitive property
C) Property of equality
D) Definition of congruence
Answers
Answer:
Addition Property of Equality If AB = CD then AB + BC = BC +CD
Subtraction Property of Equality If AB + BC = BC + CD then AB = CD
Multiplication Property of Equality If m∢A = 90 then 2(m∢A) = 180
Division Property of Equaliity If 2(m∢B) = 180 then m∢B = 90
Substitution Property If m∢A + m∢B =180 and m∢B then m∢A + 90 =180
Distributive Property AB + AB = 2AB
Reflexive Property m∢B = m∢B
Symmetric Property If AB + BC = AC then AC = AB + BC
Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD
Segment Addition Postulate If C is between B and D, then BC + CD = BD
Angle Addition Postulate If D is a point in the interior of ∢ABC then m∢ABD + m∢DBC = m∢ABC
Linear Pair Postulate If two angles form a linear pair, then they are supplementary
Definition of Right Angle If ∢B is a right angle then m∢B = 90
Definition of Midpoint If P is the midpoint of segment AB then AP =PB
Definition of Segment Bisector If k intersects segment AB at M the Midpoint then k bisects segment AB
Definition of Perpendicular Lines If two lines are ⊥ they form right angles
Definition of Congruent Segments If AB = CD then segment AB ≅ segment CD
Definition of Congruent Angles If ∡A ≅∡ B then m∡A=m∡B
Definition of Angle Bisector If ray AB bisects ∡CAD then∡ CAB ≅ ∡ BAD
Definition of Complementary Angles If ∡ Z and ∡Y are complementary m∡Z +m∡Y =90
Definition of Supplementary Angles If ∡ S and ∡T are supplementary m∡S +m∡T = 180
Step-by-step explanation:
-3= -2+m /6
Solve each equation
Answers
Answer:
m= -6
Step-by-step explanation:
Answer:
-16=m
Step-by-step explanation:
-3=-2+m/6
6*-3=-2+m*6
-18=-2+m
2+-18=m
-16=m
ent
Use the interactive to find an expression equivalent to
4x - 4 - 2x + 3.
O 2x - 1
O 6x - 1
O 2x - 7
O-2x + 3
Please hurry help
Answers
Answer:
it's A
Step-by-step explanation:
2x - 1
I put b and got it wrong
A study was conducted to analyze the amount of time spent sitting at a desk for employees over a work day. The time spent sitting was recorded for a large sample of employees and found to follow a bell-shaped distribution with a mean of about 280 minutes. The smallest amount of time was 100 minutes and the largest amount of time was 460 minutes. Unfortunately, the standard deviation was not reported in the summary. Which of the following represent the most appropriate value for that standard deviation?
A. Options 60 minutes
B. 90 minutes
C. 180 minutes
D. 360 minutes
Answers
527 x 36
What will this equal
Answers
Answer:
18972 I use an calculator
The solution of number 527 × 36 after multiplying is,
⇒ 527 × 36 = 18,972
We have to give that,
To solve the expression,
⇒ 527 × 36
Now, simplify the numbers as,
⇒ 527 × 36
After multiply,
⇒ 18,972
So, the solution is,
⇒ 18,972
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ6
Use the factor theorem to determine which of the following is a factor of f(x)=x^3+5x2-15x+9
x-2
x+1
x-1
x+2
show work please
Answers
x+2
Step-by-step explanation:
x+2
If x = –2 is a zero, then x + 2 = 0, so x + 2 is a factor. Similarly, if x = 1/3 is a zero, then x – 1/3 = 0, so x – 1/3 is a factor. By giving me two of the zeroes, they have also given me two factors: x + 2 and x – 1/3.
use the distribution property to write the problem without parenthesis, 4 (2x+11) - 8x+36
Answers
Answer:
80
Step-by-step explanation:
8x+44-8x+36
8x-8x+44+36
44+36
80
can someone help me please
Answers
Answer:
2,5,8,11,14,17,20
Description: Each time there was an addition of 3 onto each 'y'.
Step-by-step explanation:
+3 to the last one each time
2+3=5
5+3=8 etc
is there a way you guys can show me how to graph this equation? if not something will do
Answers
Answer:
you can use an online graphing calculator
Step-by-step explanation:
Use the link in the screenshot
btw, the line after the word calculator is the cursor, so don't put anything after the word calculator.
What is the estimated age of Earth?
Answers
Answer:
4.543 billion years i think, i apologize if im wrong
Step-by-step explanation:
Answer:
4.54 billion years
Step-by-step explanation:
Scientists use the layers of rock of the Earth's crust/core to estimate how old is the earth.
5. A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 4 hours?
Answers
Which expression is equivalent to 4(3+5) - 3.92?
Answers
Answer:
28.08
Step-by-step explanation:
4(3+5)−3.92
Add 3 and 5 to get 8
4×8−3.92≈28.08
Multiply 4 and 8 to get 32
32−3.92≈28.08
Subtract 3.92 from 32 to get 28.08
28.08
HELP WILL GIVE BRAINLIEST to best answer
Answers
Answer:
A,B,C,D
Step-by-step explanation:
They are all the same equation on both sides of the equal sign and sense the variable is x on all of them whatever number you put on one side you have to put it on the other side therefore resulting in any solution you could think of.
what is d divided by equals
Answers
Answer: X and Y
Step-by-step explanation: IF I REMEMBER dont get mad if you don’t get it right
If the planes extend infinitely in all directions, where do plane ADB and line EC intersect?
Answers
Answer: In point C.
Step-by-step explanation:
Plane ADB is the plane that contains the points A, D and B.
If you look in the image, you can see that point C also does belong to this plane.
Line EC is the line that connects the points E and C.
Now, remember that Point C does belong to the plane ADB, then the point where the plane ADB and line EC intersect is in point C, because it is a common point to both elements.
Please help with the question, and if you can please explain how you got the answer. Thank you.
Answers
9514 1404 393
Answer:
C. p ∨ q
Step-by-step explanation:
The compound statement is of the form ...
p or q
where ...
p = Memorial day is in July
q = parallel lines intersect
The symbol ∨ is used to represent the disjunction (or).
The symbolic form of the given statement is ...
p ∨ q
__
As it happens, both p and q are false, which means the disjunction is false. That has no bearing on the symbolic representation of it.
_____
∧ represents conjunction (and).
How do you solve -2 1/2+3/4÷3/8
Answers
Step-by-step explanation:
1. use PEMDAS (Parentheses, Exponent, Multiplication & Division, Addition & Subtraction). you would do 3/4 divided by 3/8 first.
3/4 / 3/8 = 2
2. add 2 to -2 1/2 (or if it's easier to understand, do 2 minus 2 1/2)
-2 1/2 + 2 = -1/2 OR 2- 2 1/2 = -1/2
answer is -1/2
16x2 - 8x + 1 is an example of a ______
Answers
Answer:
the answer would be an equation
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Answers
y-int: (0, 2.5)
A researcher is testing the claim that the average university student works less then 15 hours a week. To test this claim she surveys a random sample of 20 undergraduate students who reported an average of 13.5 hours a week of work. We will assume that the population is normally distributed with a standard deviation of 5 hours per week.
Test this claim at the alpha of 0.02 by calculating the z-score and comparing it to the critical z-score (z subscript c r i t end subscript equals negative 2.05 right parenthesis.
You have the standard error of the mean, so solve for the z-score.
Answers
Answer:
no
Step-by-step explanation: pick up the phone baby i know your home
What is the Scale Factor going from the larger figure to the smaller figure?
Answers
Answer:
0.25
Step-by-step explanation:
scale factor=md/od
=0.5/2
0.25
Which equation represents a proportional relationship? y = 9x y = 9x , y = 9x + 1 y = 9x + 1 , y = 9x + 9
Answers
Answer: the answer is y=9x
Step-by-step explanation:
How to solve ?? 3 (3z-6)=0
Answers
Answer:
Step-by-step explanation:
3(3z-6)=0
multiply your three with the 3z and the -6
9z-18=0
figure out what - 18 = 0
9z=18
9*2=18
z=2
hope this helps
Find the slope......
Answers
Answer:
Step-by-step explanation:
what are the two characteristics we look for when trying to solve a quadratic equation?
A. A positive coefficient for x^2 & the equation set equal to 0
B. Factor and cancel
C. Distribute like terms
D. There is no such thing as a quadratic equation
Answers
Answer:
Answer A makes the most sense by far.
Step-by-step explanation:
Answer A makes the most sense by far. However, strictly speaking, the coefficient of x^2 does not have to be positive if we're using the quadratic formula. Using some other approach, such as factoring, obtaining a positive coefficient for x^2 is helpful.
Please help!!!
is a relation that is also a function.
Answers
Answer:
Step-by-step explanation:
If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
