Complete Each Proof
Given: -3(2x+7) = -29 - 4x: Prove X=4
STATEMENTS and REASONS
Check Picture
Answers
Answer:
We proved that [tex]-3(2x+7) = -29 - 4x[/tex] gives [tex]\mathbf{x=4}[/tex]
Step-by-step explanation:
We are given: [tex]-3(2x+7) = -29 - 4x[/tex]
We need to prove x=4
Statements Reasons
[tex]-6x-21=-29-4x[/tex] Distributive property of multiplication over subtraction
[tex]-6x-21+4x=-29-4x+4x[/tex] Addition property of equality
[tex]2x-21=-29[/tex] Additive inverse property (+4x-4x=0)
[tex]2x-21+21=-29+21[/tex] Addition property of equality
[tex]2x=8[/tex] Additive inverse property
[tex]2x/2=8/2[/tex] Division property of equality
[tex]x=4[/tex] Answer
So, We proved that [tex]-3(2x+7) = -29 - 4x[/tex] gives [tex]\mathbf{x=4}[/tex]
Related Questions
Convierte la siguiente fracción a decimal(4 decimales): 24/33
Answers
Answer:
4
Step-by-step explanation:
50 points.
Please simplify.
Please answer it correctly and don't answer of you don't know otherwise I'll report it to higher authorities.
Answers
Answer:
1
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
Given
[tex](\frac{1}{x^{(a-b)}) } ^{a+b}[/tex] × [tex](\frac{1}{x^{b+a}) } ^{b-a}[/tex]
= [tex]\frac{1}{x^{(a-b)(a+b)} }[/tex] × [tex]\frac{1}{x^{(b+a)(b-a)} }[/tex]
= [tex]\frac{1}{x^{(a^2-b^2)} }[/tex] × [tex]\frac{1}{x^{(b^2-a^2)} }[/tex]
= [tex]\frac{1}{x^{(a^2-b^2+b^2-a^2)} }[/tex]
= [tex]\frac{1}{x^{0} }[/tex]
= [tex]\frac{1}{1}[/tex]
= 1
well you already got an answer so can i have free 25
45. Reason in a video game, you must score
5,500 points to complete level 1. To move
through each additional level, you must
score an additional 3,250 points. What
number would you use as a when writing
an arithmetic sequence to represent this
situation? What would n represent? Write an
explicit formula to represent this situation.
Write a recursive formula to represent this
situation.
Answers
Step-by-step explanation:
a1 = 5500, since you are starting there, and n would represent the level you want to complete. 3250 would be d, or the number you are going up by each time.
This would give you the equation an = 5500 + 3250(n-1) as the explicit formula, and an = an-1 + 3250 as your recursive formula.
If g(x) = 2 − 1, what is g(−2.3)?
A) -7
B) -5
C) -4
D) -3
Answers
Answer:
-5.6
Step-by-step explanation:
Let the given function be g(x) = 2x - 1
To get g(-2.3), you will substitute x = -2.3 into the expression as shown;
g(x) = 2x - 1
g(-2.3) = 2(-2.3) - 1
g(-2.3) = -4.6 - 1
g(-2.3) = -5.6
Hence the value is -5.6
Note that the function was assumed. Same procedure can be applies for any function g(x).
Giving you extra points!
What is 10+5
Answers
Answer:
15 !!!!
thanks for the points
Answer:
15 lol
Step-by-step explanation:
Which expression is equivalent to x-6 plzzz
Answers
Enter an equation in slope-intercept form for the line below.
4x +y = 2
Y=?
Answers
Answer:
y=2-4x
Step-by-step explanation:
move 4X to the other side and change the sign from plus to mines
Answer:
y = -4x + 2
Step-by-step explanation:
[tex]4x+y=2\\\\4x-4x+y=2-4x\\\\y=2-4x\\\\\boxed{y=-4x+2}[/tex]
Hope this helps.
a) A farmer has 50 acres of land in which he plans to plant maize and beans. Each acre of maize requires 6 people and each acre of beans requires 2 people to work on it. He has at least 60 people available. He must plant at least 10 acres of beans. The profit on maize is KES 2000 per acre and on beans is KES 3000 per acre. If he plants x acre of maize and y acres of beans,
i) write down 4 inequalities of x and y to describe his plan
ii) represent the 4 inequalities graphically
iii) determine the acreage for each crop for maximum profit
Answers
Answer:
Hi how are you doing today Jasmine
What is the leading coefficient of the polynomial?
15x^4 – 26x^3 – 18x^6 – 19x^7
Answers
Answer:
-19
Step-by-step explanation:
Rewrite the equation from highest exponent to lowest:
-19x^7-18x^6+15x^4-26x^3
Coefficients are the numbers in front of the exponent, so the leading coefficient is what is attached to the highest exponent value.
-19x^7 is the highest exponent, so -19 is the highest coefficient.
Paige walks to the park 2/3 mile away. It takes her 16 minutes to get there. Paige wants to know her speed in miles per minute
Answers
Answer:2/3 / 16
Step-by-step explanation:I js did it and got it correct
The speed of Paige is given by the equation A = 1/24 miles per minute
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of Paige be represented as A
Now , the equation will be
The distance traveled by Paige D = 2/3 miles
The time required by Paige to walk 2/3 miles T = 16 minutes
So , the speed of Paige A = distance traveled by Paige D / time required by Paige to walk 2/3 miles
Substituting the values in the equation , we get
The speed of Paige A = ( 2/3 ) / 16
On simplifying the equation , we get
The speed of Paige A = 2/48
The speed of Paige A = 1/24 miles per minute
Hence , the speed of Paige is 1/24 miles per minute
To learn more about speed click :
https://brainly.com/question/19930939
#SPJ5
a runner travels 400m in 64 seconds, what's is the speed of the runner?
Answers
Answer:
6.25
Step-by-step explanation:
Divide 400 by 64. To check multiply 6.25 by 64. I got 400. Sooooo.
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Answers
Put the following equation of a line into slope-intercept form, simplifying all fractions 3x + 6y = 42
Answers
Step-by-step explanation:
[tex]3x + 6y = 42[/tex]
Arrange in slope intercept form : y = mx+b
[tex]6y = - 3x + 42[/tex]
Divide through by 6
[tex] \frac{6y}{6} = \frac{ - 3x}{6} + \frac{42}{6} [/tex]
Simplify
[tex]y = - \frac{1}{2} x + 7[/tex]
Answer:
xy = 8
Step-by-step explanation:
6-42 divided by 3
Which set of ordered pairs represents a function
Answers
Answer:
b because the Orgin always start with 2 0s
Calculate the volume of
(b)
a car park which is 35 m long and 25 m
wide by 12 m high.
Answers
The function f(t)=290(0.91)^{t}f(t)=290(0.91) t represents the change in a quantity over t months. What does the constant 0.91 reveal about the rate of change of the quantity?
If you don't know the answer pls don't make up fake ones
Answers
Answer:
The function is decaying exponentially at a rate of 9% every month.
Step-by-step explanation: there you go bro
A wave with a frequency of 60 hertz would generate 60 wave crests every
Answers
Answer:
Every second
Step-by-step explanation:
im doing the same thing i have the answer already
What is the smallest possible average of four distinct positive even integers?
Answers
Answer:
Answer at the bottom
Step-by-step explanation:
The smallest average will occur when the numbers are as small as possible. The four smallest distinct positive even integers are 2, 4, 6, and 8 and their average is 5.
Hope this helps!!
I need help... like now.. please?
Answers
Answer:
7 9/10 pounds
Step-by-step explanation:
Answer:
7 9/10 would be the best answer
Two step equations
Sally sold half of her comic books and then bought eight more. She now has twelve. How many did she begin with?
Answers
Answer:
8
Step-by-step explanation:
Since she now has 12, subtract 8 because of the 8 she before added.
Now, you're left with 4.
The 4 is half of what she originally had, leading up to the fact that the answer is 8.
Sally began with eight comic books.
Ill mark brainliest may someone pls help
Answers
Answer:
The zoo is more expensive for 12 students.
It costs $6 more.
Step-by-step explanation:
(Money / Amount of people) = (Amount for 1 person)
(Amount for 1 person x 12 people = amount for 12 people)
36.75 / 3 = 12.25
12.25 x 12 = 147
(Money / Amount of people) = (Amount for 1 person)
(Amount for 1 person x 12 people = amount for 12 people)
51 / 4 = 12.75
12.75 x 12 = 153
To solve the second blank:
153 - 147 = 6
david bought 2 dozen eggs for $56. since 6 of them broke, he incurred a loss of $20 on selling them. what was the selling price of an egg?
Answers
Answer:
$3.33
Step-by-step explanation:
6 of them broke, he incurred a loss of $20 on selling them
$20/6=$3.33
write each phrase as an algebraic expression:
1. Forty-two less than a number z
2. The product of eleven and a number k
3. A number t increased by seventy
4. The quotient of forty-three and a number m
5. Sixty-four added to a number w
6. One-hundred decreased by a number j
7. The sum of a number g and nine
8. Seventeen fewer than a number h
9. One-fourth of a number v
Answers
Answer:
1. Forty-two less than a number z
z - 422. The product of eleven and a number k
11k3. A number t increased by seventy
t + 704. The quotient of forty-three and a number m
43/m5. Sixty-four added to a number w
w + 646. One-hundred decreased by a number j
100 - j7. The sum of a number g and nine
g + 98. Seventeen fewer than a number h
h - 179. One-fourth of a number v
1/4v or v/4Find the slope and the y-intercept of the graph of the linear equation
y=1/3x-1
Answers
Answer:
m=1/3 and y intercept -1
Step-by-step explanation:
What is a negative plus a positive
Answers
Answer:
When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction. Basically you are subtracting the 2. The answer is 2.
Step-by-step explanation:
Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
Equation 1: (x – 3)2 = y – 4
Equation 2: y = -x + b
In order for Tom’s thinking to be correct, which qualifications must be met?
b must equal 7 and a second solution to the system must be located at the point (2, 5).
b must equal 1 and a second solution to the system must be located at the point (4, 5).
b must equal 7 and a second solution to the system must be located at the point (1, 8).
b must equal 1 and a second solution to the system must be located at the point (3, 4).
Answers
Answer:
your answer is:
b must equal 7 and a second solution to the system must be located at the point (2, 5).
Step-by-step explanation:
Answer: A
Step-by-step explanation:
One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence (1,10),(2,12),(3,14). How long does it take for the tree to reach its maximum height of 28 feet?
Answers
Answer:
10 years
Step-by-step explanation:
We are told that One year after you buy a tree, it is 10 feet tall. Thus, it's initial height after 1 year is 10 ft.
Now we are told that each year after you buy the tree, it grows 2 feet. This means that it's height after you bought it was; f(0) = 10 - 2 = 8ft
Thus,
f(1) = 8 + 2 = 10
f(2) = 8 + 2 + 2 = 12
f(3) = 8 + 2 + 2 + 2 = 14
The pattern here is;
f(x) = 8 + 2x
Where x is number of years
Thus, for it to reach a maximum height of 28 ft;
28 = 8 + 2x
Subtract 8 from both sides to give;
28 - 8 = 2x
2x = 20
x = 20/2
x = 10 years
Find the rational number lying at the half of the way between
3/8 , 5/8
Answers
Answer:
4/8, simplified as 1/2
Step-by-step explanation:
What is the percent of change if 30 is decreased to 25? Round
your answer to the nearest percent.
Answers
Answer:
The percentage change from 30 to 25 is -16.67 %
a baker uses 3.5 pounds of flower daily to make bread how many ounces would he use in one week?