Answer:
[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Notice how y is isolated in slope-intercept form.
[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]
To change this into slope-intercept form, isolate y.
Use the distributive property on the parentheses:
[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]
Subtract 5 from both sides:
[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
I hope this helps!
If a ribbon that is 30.1 inches long is cut into equal pieces that are 1.75 inches long, how many pieces of ribbon can be created?
1.72
12.7
17.2
172.0
Answer:
17.2
Step-by-step explanation:
30.1÷1.75=17.2
plssss mark brainliesttr
Whats the answer to it i can't figure it out
Answer:
-0.1
...............................
PLEASE HELP
write and solve an equation to find the value of X. please explain in details and show your work!
Answer:66.5 degrees
Step-by-step explanation:
Find the value of x if 3(4x+3)
Based on your answer to the last question, which of the following prices of trade (that is, price of cheese in terms of beer) would allow both Sweden and Greece to gain from trade? Check all that apply.
Match the terms to their definition.
1. union
2. intersection
3. compound inequality
Hurry plz
Step-by-step explanation:
compound inequality: a statement formed by two.......
intersection: elements that are in both set A and B
union: elements that are in either set A or B
A 16-ft steel beam is to be cut into two pieces so
that one piece is 1 foot longer than twice the other.
Find the length of each piece.
Answer:
8.5 feet and 7.5 feet.
Step-by-step explanation:
Hope this helps :)
Whatis (-5 + 3i) -(4+7i)?
Answer:
-5-4i is your answer.
I hope it will help youTwo major league players got a total of 226 hits. Washington had 18 more hits than Sanchez. Find the number of hits for each player.
Answer:
Washington had 115 hits and Sanchez had 111 hits.
Step-by-step explanation:
2s + 4 = 226
2s = 222
s = 111
s + 4 = 115
Given the sequence -14, -6, -2, 0, 1, ..., find the recursive formula.
Answer:
C is the answer to your question
(2x+1)(3x+4)=0
2x+1=0 3x+4=0
Solve for both equations. What are the two x-values/answers going to be? Leave your answer in a simplified fraction.
(I don’t know what to do next)
Answer:
2x+1=0.
2x=0-1.
2x=-1.
2x/2=-1/2.
x=-2.
3x+4=0
3x=0-4
3x=-4
3x/3=-4/3
[tex]x = 1 \frac{1 }{3} [/tex]
How many area codes (ABC) would be possible if all three digits could be any value 3-9
Answer:
Step-by-step explanation:
Name the two input device
Answer:
keyboard and mouse are two examples of input device
Answer:
keyboard and mouse
Step-by-step explanation:
If you like my answer than please mark me brainliest
I need some help with the homework problem. I have a list of formulas, but can't seem to get it done.
[tex]\int\frac{9}{\sqrt{1+e^{2x}}} \, dx[/tex]
I started by taking the constant out and setting u = [tex]\sqrt{1+e^{2x\\}}[/tex]
After this I can't seem to progress.
After setting [tex]u=\sqrt{1+e^{2x}}[/tex], partially solving for x in terms of u gives
[tex]u = sqrt{1+e^{2x}} \implies u^2 = 1 + e^{2x} \implies e^{2x} = u^2 - 1[/tex]
Then taking differentials, you get
[tex]2 e^{2x} \,\mathrm dx = 2u \, \mathrm du \implies \mathrm dx = \dfrac{u}{u^2-1}\,\mathrm du[/tex]
Replacing everything in the original integral then gives
[tex]\displaystyle \int \frac9{\sqrt{1+e^{2x}}}\,\mathrm dx = \int \frac9u \times \frac u{u^2-1}\,\mathrm du = 9 \int \frac{\mathrm du}{u^2-1}[/tex]
Split up the integrand into partial fractions:
[tex]\dfrac1{u^2-1} = \dfrac a{u-1} + \dfrac b{u+1} \\\\ 1 = a(u+1) + b(u-1) = (a+b)u + a-b \\\\ \implies \begin{cases}a+b=0\\a-b=1\end{cases} \implies a=\dfrac12,b=-\dfrac12[/tex]
so that
[tex]\displaystyle 9 \int \frac{\mathrm du}{u^2-1} = \frac92 \int \left(\frac1{u-1} - \frac1{u+1}\right) \,\mathrm du \\\\ = \frac92 \left(\ln|u-1| - \ln|u+1|\right) + C \\\\ = \frac92 \ln\left|\frac{u-1}{u+1}\right| + C \\\\ = \frac92 \ln\left(\frac{\sqrt{1+e^{2x}}-1}{\sqrt{1+e^{2x}}+1}\right) + C[/tex]
. Evaluate the expression below for x = 4. 6(x+8) (please
Answer:
D
Step-by-step explanation:
6(x + 8) = Plug in x with 4
6(4 + 8) =
6(12) =
72
A property sells for $140,000 two years after it was purchased. If the annual appreciation rate is 6%, how much did the original buyer pay for it?
Answer:
$123,200
Step-by-step explanation:
0.06 x 2 = 0.12
140,000 x 0.12 = 16,800
140,000 - 16,800 = 123,200
The original buyer paid the amount of $123,200 for the property.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The property appreciated by 6% per year, so in two years it would have appreciated by 6% × 2 years = 12%.
Once we know the total appreciation, we can subtract that value from 100% to find the original purchase price as a percentage of the final sale price.
If the property appreciated by 12%, then the original purchase price must have been 100% - 12% = 88% of the final sale price.
Now, multiply the final sale price by the original purchase price as a percentage to find the original purchase price.
So, the original buyer paid the amount = 88% × $140,000 = $123,200
Therefore, the original purchase price was $123,200.
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15
Determine whether the ordered pairs (1,0) and 4,
(4:15)
are solutions of the following equation.
- 5x + 7y= -5
BRE
Is (1,0) a solution of - 5x + 7y = - 5?
O Yes
Ο Νο
(ANSWER QUICKLY)
Answer:
yes
Step-by-step explanation:
x = 1, y = 0
so,
-5×1 + 7×0 = -5
-5 + 0 = -5
-5 = -5
true, therefore (1, 0) is a solution (a point on the graph) of the equation.
I am not sure what the other pair should be.
Jason surveyed the student athletes at his school as they left the locker
rooms for practice. When selecting from a list of questions, he determined
that he could survey the athletes to determine which sport students in the
school most liked to watch. Which of the following statements is true?
A. Jason is not correct. Since the students are in a small age group, he should go to
a baseball game and survey the spectators there to find the most popular sport
to watch.
B. Jason is correct. This population is best for his question.
C. Jason is not correct. Since sports are played during different seasons, he would
have to conduct his survey over the entire school year to get more accurate
results.
D. Jason is not correct. Since there are other students in the school that watch
sports but do not play them, he should expand his population
Answer:
D
Step-by-step explanation:
I hope thats correct
can someone help me please
Step-by-step explanation:
11.
[tex] \frac{x - 4}{ \frac{x}{4} - \frac{4}{x} } [/tex]
[tex] \frac{x - 4}{ \frac{ {x}^{2} }{4x} - \frac{16}{4x} } [/tex]
[tex] \frac{x - 4}{ \frac{ {x}^{2} - 16 }{4x} } [/tex]
[tex] \frac{x - 4}{ \frac{(x + 4)(x - 4)}{4x} } [/tex]
[tex] \frac{4x}{x + 4} [/tex]
12.
[tex] \frac{ \frac{ {x}^{2} - 1 }{x} }{ \frac{(x - 1) {}^{2} }{x} } [/tex]
[tex] \frac{ {x}^{3} - x}{ {x}^{3} - 2 {x}^{2} + x } [/tex]
[tex] \frac{x( {x} - 1)(x + 1) }{x( {x} - 1) {}(x - 1) } [/tex]
[tex] \frac{x + 1}{x - 1} [/tex]
13.
[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1} } - \sqrt{ {t}^{2} + 1} }{ {t}^{2} } [/tex]
[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1 } } - \frac{ {t}^{2} + 1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]
[tex] \frac{ \frac{1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]
[tex] \frac{ - \frac{ \sqrt{ {t}^{2} + 1 } }{ {t}^{2} + 1 } }{ {t}^{2} } [/tex]
[tex] - \frac{ \sqrt{ {t}^{2} + 1} }{ {t}^{2}( {t}^{2} + 1) } [/tex]
14.
[tex] \frac{3x { }^{ \frac{1}{3} } - x {}^{ \frac{ - 2}{3} } }{3x {}^{ - \frac{2}{3} } } [/tex]
[tex] \frac{3x - 1}{3} [/tex]
Can a triangle be formed with side lengths of 2inches, 3 inches, and 6 inches?
brainiest to whoever rightt.
Answer:
Perimeter of a square
Step-by-step explanation:
The formula for finding out the perimeter of a square is P = 4s
1. In some music, a whole note equals one measure, a quarter note
equals , of one measure, and an eighth note equals of one
measure. If one measure has two quarter notes and an eighth note,
what notes can make up the rest of the measure? Write and solve an
equation.
Answer:
3 eighths are needes to make up the rest of the measure.
Step-by-step explanation:
1/4 + 1/4 + 1/ 8 + x = 1
2/4 + 1/8+x=1
4/8 + 1/8+x=1
5/8 + x=1
x=1 - 5/8
x=3/8
We need three eights.(Because 3/8=1/8+1/8+1/8 and 1/8 represents an eights)
pls help with this problem
====================================================
Explanation:
Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.
We then use the pythagorean theorem to find the length of the hypotenuse MT.
a^2 + b^2 = c^2
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
c^2 = 676
c = sqrt(676)
c = 26
Segment MT is 26 cm long.
This applies to the other diagonal AH as well.
Write an equation that expresses the following relationship.
p varies directly with d and inversely with the square of u
In your equation, use k as the constant of proportionality.
Answer:
p = k(d)/u^2
Step-by-step explanation:
BRAINLIEST, PLEASE!
Rachael made 4 pounds of potato salad. How many ounces of potato salad did Rachael make?
Answer:
i think the answer is 64 ounces
5.
A bag contains three types of candy (gumdrops, jelly beans, and jawbreakers). If
chosen at random, the probability of getting a gumdrop is 1/6 and the probability
of getting a jellybean is 1/3 What is the probability of getting a jawbreaker?
Answer:
P) = 1/2 jawbreaker
simplified P) 3/6 = 1/2 jawbreaker
Which both mean the same, so show simplified if asked and either answer if not asked would be marked high.
as 2/6 + 1/3 = 3/6
1 - 3/6 = 3/6
= 1/2 are the workings.
Step-by-step explanation:
Jelly bean = 1/3 = 2/6
Gumdrop = 1/6
2/6 + 1/6 = 3/6 = the difference of 1
1-3/6 = 3/6
Therefore; P) = 3/6 jawbreaker
Lines m and n are parallel lines. If line m has a slope of -1, find the slope of linen. Type a numerical answer in the space
provided. If necessary, use the key as a fraction bar. Do not type spaces in your answer.
Calculate the distance between the points -8,2 and 3,2 on a coordinate plane
[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(3+8)^2+(2-2)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{11^2}[/tex]
[tex]\\ \rm\Rrightarrow 11[/tex]
A number is 10 more than another number. Twice the sum of the two numbers is 44. Find the two numbers.
Answer:
The two numbers are 6 and 16
Step-by-step explanation:
16+6=22
22+22=44
The numbers are 6 and 12.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the number are x and y.
A number is 10 more than another number then
x + 10 = y...............(1)
and, Twice the sum of the two numbers is 44.
2(x+y)= 44...........(2)
Solving the above equation we get
x+ y= 22
y-10 + y = 22
2y = 32
y= 16
and, x= y-10 = 16-10= 6
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A multiple choice test contains 25 questions with 5 answer choices. What is the probability of correctly answering 8 questions if you guess randomly on each question?
Answer: 0.0623
Step-by-step explanation:
The probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.
It is given that multiple choice test contains 25 questions with 5 answer choices.
To find probability of correctly answering.
What is probability?The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
Given that:
The probability of each correct answer is [tex]p_{s}[/tex][tex]=\frac{1}{5}[/tex]
The probability of 8 successful answers in 25 independent trials for a binomial probability distribution is:
p(k|n)=[tex]\frac{n!}{(n-k)!*n!}[/tex][tex]p_{s}^{k} (1-p_{s})^{n-k} \\[/tex]
p(8|25)=[tex]\frac{25!}{(25-8)!*8!}[/tex][tex]{\frac{1}{5} }^{k} (1-1/5)^{25-8} \\[/tex]
p(8|25)=0.062348
So, the probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.
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