Answer:
Step-by-step explanation:
A linear equation is of the form ax+b and the highest degree of x is 1. You can see that from the power of x which is 1.
The power of x is zero from the equating. It is not reflecting because anything raise to power if zero gives 1
To get the solution of the equation ax+b = 0
We will make x the subject of the formula
ax = -b
Divide both side's by a
ax/a = -b/a
x = -b/a
If 2x-3 = 0
2x = 0+3
2x = 3
2x/2 = 3/2
x = 3/2
Given -8 = 2x+4
2x = -8-4
2x = -12
x = -12/2
x = -6
A linear equation in one variable is known to have ONE solution. This is as demonstrated in the equation above, we cans see that the only solution is -6(just one solution)
Convert the statement "adding 15 to 4 times x is 39" into an equation 1
The product of 4 and x is 4x
Adding 15 to 4x will give
15+4x
If the resulting expression is equal to 39, the final equation will be;
15+4x = 39
10) given 1/3+S = 2/5, we are to find S
S = 2/5-1/3
S = 6-5/15
S = 1/15
Hence the value of S is 1/15
What would you need to do to get a denominator of one in the following example?
Answer:
yoou have to find common numbers
Step-by-step explanation:
BRIANLY PLS HELP ME OUT ASP !
Answer:
42
Step-by-step explanation:
3 is equal to 42 degrees because when you have two parallel lines that have another line pass through both parallel lines the values of degrees are the same as the opposite side so:
42 = 3
2 = 4
and another way you could find the value of 3 is since there is a perpendicular line going through line p we know that since it is perpendicular that the angle between them is 90 so angle 3 is:
90 - (angle 4) = angle 3
You may use this method if you first solved for angle 4 or angle 2 and we can get angle 2 from:
180 - 42 = 138
we can do this because 42 + angle two should be 180 degrees since they are along line n.
find the common ratio and the 12th term of the geometric sequence 64, 16, 4, ...
Answer:
common ration = 1/4
12th term = 1/65536
Step-by-step explanation:
64
64*1/4 = 16
16 * 1/4 = 4
4* 1/4 = 1
1 * 1/4 = 1/4
1/4*1/4 = 1/16
1/16*1/4 = 1/64
etc
1/256
1/1024
1/4096
1/16384
12th term = 1/65536
Answer:
see explanation
Step-by-step explanation:
The common ratio r is calculated as
[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{16}{64}[/tex] = [tex]\frac{1}{4}[/tex]
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 64 and r = [tex]\frac{1}{4}[/tex] , thus
[tex]a_{12}[/tex] = 64 × [tex](\frac{1}{4}) ^{11}[/tex] = 64 × [tex]\frac{1}{4194304}[/tex] = [tex]\frac{64}{4194304}[/tex] = [tex]\frac{1}{65536}[/tex]
What are the first four terms of the sequence shown below?
an = n3 + n2
Answer:
2, 12, 36, 80
Step-by-step explanation:
Substitute n = 1, 2, 3, 4 into the n th term formula, that is
a₁ = 1³ + 1² = 1 + 1 = 2
a₂ = 2³ + 2² = 8 + 4 = 12
a₃ = 3³ + 3² = 27 + 9 = 36
a₄ = 4³ + 4² = 64 + 16 = 80
3. What is the goal of education—especially when it comes to history and human rights? Cite evidence from this text, your own experience, and other literature, art, or history in your answer.
Answer:
The goal for human rights is to education aims to do the following: Enhance the knowledge and understanding of human rights. Foster attitudes of tolerance, respect, solidarity, and responsibility. Develop awareness of how human rights can be translated into social and political reality.
(Evidence) -------›
"The following year, he immigrated to the United States and settled in Kansas City, Mo., where he married, had four children and became a successful importer of ladies' handbags. It would be 16 years before he began speaking publicly about the Holocaust, something he says he decided to do after talking to one of his neighbors."
. Зх – 3y= 9 for D = {0 SXS 8}
у
о
3
8
PlZzz helppppppppp
Step-by-step explanation:
just do 3*- 3y and then the answer you get you do 3*8
1. twice the square of the sum of a number and 3 is 98.find the number
Answer:
Step-by-step explanation:
Let the number be x.
twice the square of the sum of a number and 3 is expressed as;
2(x+3)²
If the expression is equal to 98, then;
2(x+3)² = 98
divide both sides by 2;
2(x+3)²/2 = 98/2
(x+3)² = 49
square root both sides
√(x+3)² = √49
x+3 = ±7
x = ±7-3
x = 7-3 or -7-3
x = 4 or -10
Hence the number is 4 or -10
The number is -4 or 10
Let n represent the unknown number
The following equation can be used to summarise the information given in the question
2 × n² = 98
The first step to take in order to determine the value of n is to divide both sides of the equation by 2
n² = 98/2
n² = 49
The second step is to determine the square root of both sides of the equation
n =√49
n =-7 or +7
The number = - 7 + 3 = - 4 or 7 + 3 = 10
A similar question was solved here: https://brainly.com/question/18118670?referrer=searchResults
The length of a rectangular window is 4 more feet than its width w. The perimeter of the window is 64 feet. Write an equation that could be used to find the demensions of the window and determine the length and width of the window.
Answer:
The length of the window is 18 ft and its height is 14 ft
Step-by-step explanation:
System of Equations
Let's call:
L: Length of the window in feet
W: Width of the window in feet
According to the first condition of the problem:
[tex]L = W + 4\qquad\qquad [1][/tex]
The perimeter of the rectangle is 64 feet. The perimeter is calculated as:
P = 2L + 2W =64
Dividing by 2:
[tex]L + W = 32\qquad\qquad [2][/tex]
The system of equations [1] and [2] can be used to find the dimension of the window.
Substituting from [1]
W + 4 + W = 32
Simplifying:
2W = 32 - 4 =28
Solving:
W = 28/2 = 14
Using [1]:
L = 14 + 4 = 18
The length of the window is 18 ft and its height is 14 ft
A $65 coat is on sale for 15% off,
what is the cost of the coat
after the sale?
Answer:
$55.25
Step-by-step explanation:
15% of $65: [tex]\frac{65}{1}[/tex] × [tex]\frac{15}{100} = \frac{975}{100}[/tex] $975/100 = $9.75$65 - $9.75 = $55.25I hope this helps!
$55.25 is the cost of the coat after the sale.
Step-by-step explanation:
Given:
Price of the coat = $65
Percentage of discount = 15%
To find:
The cost price of coat after the sale
Solution:
Cost price of coat = $65
Percentage of discount = 15%
The amount of discount will be 15% of the price of the coat.
Amount of discount :
[tex]=\frac{15}{100}\times \$65 \\=\$9.75[/tex]
The cost price of the coat:
[tex]=\$65-\$9.75=\$ 55.25[/tex]
$55.25 is the cost of the coat after the sale.
Learn more about cost price and discount here:
brainly.com/question/13278801?referrer=searchResults
brainly.com/question/2984088?referrer=searchResults
( I REALLY NEED HELP I WILL GIVE BRILLIANT) If you divide 78 by 34, will the quotient be greater than or less than 34?
Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.
However, I'll solve for the vertex of the given function.
Given
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
Vertex, V is of the form:
[tex]V= (h,k)[/tex]
Where
[tex]h = -\frac{b}{2a}[/tex]
and
[tex]k = f(h)[/tex]
Solving for h:
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]y = ax^2 + bx + c[/tex]
So:
[tex]a = -9.5[/tex]
[tex]b = 47.5[/tex]
[tex]c = 63[/tex]
[tex]h = -\frac{b}{2a}[/tex]
[tex]h = -\frac{47.5}{2 * -9.5}[/tex]
[tex]h = -\frac{47.5}{-19}[/tex]
[tex]h = \frac{47.5}{19}[/tex]
[tex]h = 2.5[/tex]
Solving for k
[tex]k = f(h)[/tex]
[tex]k = f(2.5)[/tex]
Substitute 2.5 for x in [tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]k = -9.5 * 2.5^2 + 47.5* 2.5 + 63[/tex]
[tex]k = -59.375+ 118.75 + 63[/tex]
[tex]k = 122.375[/tex]
Hence:
The vertex is
[tex]V = (2.5,122.375)[/tex]
Answer:
if ur doing savvas
Step-by-step explanation:
answer for the first one is:
Micah used the wrong sign for b in the formula x=-b/2a
answer for the second one is:
vertex is = (-2.5, 122.375)
You play a game where you score -6 points on the first turn and on each of the next 3 turns. Your score after those 4 turns is
Answer:
-24
Step-by-step explanation:
You start with -6 points, and get another -6 on the rest of the turns which is a total of 4 turns.
-6 x 4 is -24
Unless this question is missing some information, this should be correct I believe.
Hope this helps!
The score after 4 turns is -24.
Given that, you play a game where you score -6 points on the first turn and on each of the next 3 turns.
We need to find what is the score after 4 turns.
What are integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Now, the score after 4 turns = Score of the first turn + The next 3 turns
= -6 + 3(-6)
=-6-18
=-24
Therefore, the score after 4 turns is -24.
To learn more about integers visit:
brainly.com/question/15276410.
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ASAP PLEASE ILL GIVE BRAINIEST
Answer:
third choice
Step-by-step explanation:
Congruent means being exactly the same. When two line segments have the same length, they are congruent. When two figures have the same shape and size, they are congruent. ... Similar means that the figures have the same shape, but not the same size.
13 - 7(-2 - 8)
Please solve! :) Will be marking brainliest!!
Answer: 83
Step-by-step explanation: -7x-2=14 -7x-8=56, 56 + 14 + 13 = 83.
Hope this helps! :)
Please Mark Brainliest!!!
A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
14 3/5 bushels each day. Represent the total change in the number of bushels has for sale after 6 days.
Answer:
He sold 87-3/5 bushels in 6 days , he has 72-2/5 bushels left
Step-by-step explanation:
14-3/5 x 6 = Bushels sold in 6 days
Which quantity is proportional to 21/28?
Check all that are true.
15/20
314
213
7/14
18/24
Please help me asap
PLEASE HELPPPPPP!!!!!!! [easy]
Answer: d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
PLEASE HELP ME I DON'T UNDERSTAND SOMEONE PLEASE!!! Danielle can spend no more than $75 on clothes. She wants a pair of shoes for $40 and spends the rest on $12 scarves. Indetify the rate of change.
Answer:
She will have $23 left.
Step-by-step explanation:
what is 100+100+56+88+90=
then divide all of the numbers
Answer:
86.8
Step-by-step explanation:
100+100+56+88+90
divide the answer by 5
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation: (
100+100=200
200+56=256
256+88=342
342+90=432
432/5= 86.4
Emory ran 3 miles in 30 minute. At this pace, how long will it take Emory to run 9 miles? Explain your method AND your reasoning.
Answer:
It will take him 1 hour and 30 minutes. (90 minutes)
Step-by-step explanation:
If he is running 1 mile in 10 minutes and he needs to run 9 miles the just multiply 9 by 10 to get 90 then simplify if you need to to get 1 hour and 30 minutes.
Hope this helped and have a great rest of your day.
Which equation has a constant of proportionality equal to 3
Answer:
y=3x
Step-by-step explanation:
Find the value of x so that the function has the given value.
k(x)=6x−1/2; k(x)=18
Answer:
x = [tex]\frac{37}{12}[/tex]
Step-by-step explanation:
Given k(x) = 6x - [tex]\frac{1}{2}[/tex] and k(x) = 18, the equate the right sides, that is
6x - [tex]\frac{1}{2}[/tex] = 18 ( multiply through by 2 to clear the fraction )
12x - 1 = 36 ( add 1 to both sides )
12x = 37 ( divide both sides by 12 )
x = [tex]\frac{37}{12}[/tex]
Suppose that tuition at a state college was $3500 per year in 1995 and has been increasing at a rate of $225 per year. Write a prediction equation in slope-intercept form that expresses this information. (Do not space between the numbers and the symbols
Answer:
3500+225x
Step-by-step explanation:
x = years after 1995. 1996 would be x = 1
At Feet-R-Us colored socks are $5 and white socks are $3. Jimmy buys $32 worth of socks. An equation representing this scenario is 5c + 3w = 32. Solve this equation for c, the cost of 1 pair of colored socks
c=4 w=4
5c=20
3w=12
5c+3w=32
The average cost of a home in a certain neighborhood ranges from $225,000 to $385,000. Write an absolute value inequality to model the average cost, C. of a home in this neighborhood.
Answer:
D. |C -305,000| ≤ 80,000
Step-by-step explanation:
Such an equation will say that the difference from the average of these values is at most half of their difference.
| C -(225000+385000)/2 | ≤ (385000 -225000)/2
|C -305,000| ≤ 80,000 . . . . . matches choice D
Please Answer.Dont show the work. Just please explain the work and how to get the answer.Water comes out of Leigh's garden hose at a rate of 1 gallon per of a minute. What is the unit rate at which water flows out of Leigh's garden hose?
A. of a gallon per 4 minutes
B. of a gallon per minute
C. 4 gallons per minute
D. 9 gallons per 4 minutes
Answer:
A
Step-by-step explanation:
I have the same question and got it write
PLEASE MY CLASS ENDS IN 7 MINUTES!!! I DONT WANT TO FAIL!!
Answer:
I think B
Step-by-step explanation:
13.77 times the number of people gives you your answer, so probably C=13.77p
-2 is the _____________ of 2
Answer:
Opposite?
Step-by-step explanation:
A = -3
B = -1/3
C = 1/3
D = 3
Answer:
D
Step-by-step explanation:
The slope m is a measure of the rate of change
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, - 1) ← 2 points on the line
m = [tex]\frac{-1+4}{1-0}[/tex] = [tex]\frac{3}{1}[/tex] = 3 → D
An ion has a charge of +7. How far is it from being neutral?
a. -0.07
b. -7
c. 7
d. 70
e. 0.7
Answer:
The answer is B. -7
Step-by-step explanation:
the -7 cancels out the +7 which makes it neutral