Step-by-step explanation:
Slope-intercept form: y = mx + b
Step 1: Find the slope.Solve for [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]y2-y1 = \frac{11}{12} -\frac{19}{20}[/tex]
[tex]x2-x1 = \frac{1}{3} -\frac{2}{5}[/tex]
To solve for the fractions you need a common denominator.
[tex]y2-y1 = \frac{11*20}{12*20} -\frac{19*12}{20*12} = \frac{220}{240} -\frac{228}{240}=\frac{-8}{240} = \frac{-1}{30}[/tex]
[tex]x2-x1 = \frac{1*5}{3*5} -\frac{2*3}{5*3} = \frac{5}{15} -\frac{6}{15}=\frac{-1}{15}[/tex]
To divide fractions you keep (the first equation), change (the division sign to multiplication), and flip (the second fraction).
[tex]\frac{y2-y1}{x2-x1}=\frac{\frac{-1}{30} }{\frac{-1}{15} } = \frac{-1}{30}*\frac{15}{-1} =\frac{-15}{-30}=\frac{1}{2}[/tex]
Step 2: Plug slope and a point into y=mx+b to solve for b.[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{2}[/tex])*([tex]\frac{1}{3}[/tex])+b
[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{6}[/tex])+b
[tex]\frac{11}{12}-\frac{1}{6}[/tex] = b
[tex]\frac{11*6}{12*6}-\frac{1*12}{6*12}=\frac{66}{72} -\frac{12}{72} =\frac{54}{72}=.75[/tex]
b = .75
y = [tex]\frac{1}{2}+.75[/tex]
You want to know the number of games you can play at the carnival with $45. It costs $10 to get into the carnival and $7 for one game. Write and solve an equation to find out how many games you can play.
does the table represent a function, -3, 6, -2,9, 0,4, -2,5
Answer:
No. There are two solutions to the point x=-2: 9 and 5.
Step-by-step explanation:
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.
Which lines are the directrices of the ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.
Answer:
ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.
A number is chosen uniformly at random from among the positive integers less than $10^8$. Given that the sum of the digits of the number is 9, what is the probability that the number is prime
Answer:
If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(
Step-by-step explanation:
A car travels 10 km southeast and then 15 km in a direction 60° north of east. Find the magnitude of the car's resultant vector.
Answer:
-10sin45+15cos60=Hor distance = 5.92 km
-10cos45+15sin60=ver distance = .429 km
resultant is sqrt(5.922+.4292)= 5.94 km at angle arctan(.429/5.92)= 1.77 degrees north of east
Step-by-step explanation:
Evaluate –32 + (2 – 6)(10).
Answer:
-49
Step-by-step explanation:
You want to evaluate the expression -3² +(2 -6)(10).
Order of operationsThe Order of Operations tells you the expression in parentheses is evaluated first, followed by the term containing the exponent.
-3² +(2 -6)(10) = -3² +(-4)(10)
= -9 +(-4)(10)
= -9 -40
= -49
The value of the expression is -49.
__
Additional comment
The leading minus sign applies to the result from the squaring operation. If the square of -3 is wanted, it is put in parentheses: (-3)² = 9.
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pls help i’ll try to give brainlist
Answer:
1.In the early 19th century, Napoleon's occupation of Spain led to the outbreak of revolts all across Spanish America. Miguel Hidalgo y Costilla—“the father of Mexican independence”—launched the Mexican rebellion with his “Cry of Dolores,” and his populist army came close to capturing the Mexican capital.
2.May marks two key anniversaries in the conflict between the United States and Mexico that set in motion the Civil War—and led to California, Texas, and eight other states joining the Union.
On May 13, 1846, the United States Congress declared war on Mexico after a request from President James K. Polk. Then, on May 26, 1848, both sides ratified the peace treaty that ended the conflict.
The conflict centered on the independent Republic of Texas, which opted to join the United States after establishing its independence from Mexico a decade earlier.
The new U.S. president, James K. Polk, also wanted Texas as part of the United States, and his predecessor, John Tyler, had a late change of heart and started the admission process before he left office. Polk and others saw the acquisition of Texas, California, Oregon, and other territories as part of the nation’s Manifest Destiny to spread democracy over the continent.
The U.S. also tried to buy Texas and what was called “Mexican California” from Mexico, which was seen as an insult by Mexico, before war broke out.
Mexico considered the annexation of Texas as an act of war. After a series of border skirmishes, President Polk asked Congress for the war declaration because, under Article I, Section 8 of the Constitution, only Congress could declare war.
In the fighting that followed, the mostly-volunteer United States military secured control of Mexico after a series of battles, and the Treaty of Guadalupe Hidalgo was signed on February 2, 1848.
It was the first large-scale success of a United States military force on foreign soil.
Mexico received a little more than $18 million in compensation from the United States as part of the treaty.
The pact set a border between Texas and Mexico and ceded California, Nevada, Utah, New Mexico, most of Arizona and Colorado, and parts of Oklahoma, Kansas, and Wyoming to the United States. Their transfer to the United States’ control also cut the territorial size of Mexico in half.
On the surface, the war’s outcome seemed like a bonanza for the United States. But the acquisition of so much territory with the issue of slavery unresolved lit the fuse that eventually set off the Civil War in 1861. But the underlying issue was how adding new states and territories would alter the balance between free and slave states was critical.
On the battlefield, Robert E. Lee, Ulysses S. Grant, and Stonewall Jackson were among those who served in the war against Mexico who would later gain prominence in the American Civil War.
Which function is represented by the graph?
The parent absolute value function is translated
3 units and Y 1 unit.
The function that is graphed is f(x) =
The parent absolute value function is translated 3 units left and 1 unit up.
The function that is graphed is [tex]f(x) = |x + 3| +1[/tex]
The parent absolute function is given as:
[tex]y =|x|[/tex]
When a function is translated 3 units left, the rule of transformation is:
[tex](x,y) \to (x + 3,y)[/tex]
So, we have:
[tex]y = |x + 3|[/tex]
When a function is translated 1 unit uo, the rule of transformation is:
[tex](x,y) \to (x,y+1)[/tex]
So, we have:
[tex]y = |x + 3| +1[/tex]
Express as a function
[tex]f(x) = |x + 3| +1[/tex]
Hence, the function that is graphed is [tex]f(x) = |x + 3| +1[/tex]
Read more about transformation at:
https://brainly.com/question/1548871
Answer:
left,up, lx+3l+1
Have fun
PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you
Answer:
option 4
Step-by-step explanation:
(y intercept and negative slope)
I need help with these three questions I have the question and math problems all in the screenshots please help :)
Answer:
Screenshot 1 = Option B (5x-1)²
Screenshot 2 = (x+9)(x+9)
Screenshot 3 = Option 3 100x²-20x+1
Step-by-step explanation:
Screenshot 1 -
(5x-1)² = (5x-1)(5x-1)
5x · 5x = 25x²
5x · -1 = -5x
5x · -1 = -5x
(-1) · (-1) = 1
25x²- 5x- 5x + 1 = 25x² - 10x + 1
Screenshot 2 -
(x+9)(x+9)
x · x = x²
x · 9 = 9x
x · 9 = 9x
9 · 9 = 81
x² + 9x + 9x + 81 = x² + 18x + 81
Screenshot 3 -
100x²-20x+1
(10x-1)(10x-1)
10x · 10x = 100x²
10x · (-1) = -10x
10x · (-1) = -10x
(-1) · (-1) = 1
100x² - 10x - 10x + 1 = 100x² - 20x +1
Please Help Question in picture
Answer:
i want to help... but there is no picture :/
Step-by-step explanation:
picture is gone D:
.
Write 15.5 as a fraction in the simplest form and as a decimal
Jalen earns $33 for babysitting 4 hours.
After how many hours of babysitting will Jalen have made over $500?
60.6 hours Jalen have made over $500.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Jalen earns $33 for babysitting 4 hours.
So, in one hour Jalen earns = 33/4
= $8.25
and, if Jalen have to made over $500 then she works
= 500/ 8.25
= 60.6 hours
Hence, 60.6 hours Jalen have made over $500.
Learn more about unitary method here:
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What is 7.125 simplified as a fraction?
Answer: 7 [tex]\frac{1}{8}[/tex] or [tex]\frac{57}{8}[/tex]
Step-by-step explanation:
0.125 = 1/8
What are the coordinates of the point on the directed line segment from (-4,-1) to (6,4) that partitions the segment into a ratio of 3 to 2?
Using proportions, it is found that the coordinates of the desired point are (2,2).
The first point is A(-4, -1).The second point is B(6, 4).The desired point is C(x,y).The point C partitions the segment AB into a ratio of 3 to 2, hence:
[tex]C - A = \frac{3}{5}(B - A)[/tex]
This proportion is applied using both the x and y coordinates of the points, hence:
[tex]x - (-4) = \frac{3}{5}[6 - (-4)][/tex]
[tex]x + 4 = 6[/tex]
[tex]x = 2[/tex]
[tex]y - (-1) = \frac{3}{5}[4 - (-1)][/tex]
[tex]y + 1 = 3[/tex]
[tex]y = 2[/tex]
The coordinates of the desired point are (2,2).
To learn more about proportions, you can take a look at https://brainly.com/question/4854238
Jessica is wrapping a gift in a rectangular box with gift wrapping paper for a birthday party. The box is 11 inches long, 8 inches wide, and 5 inches tall. How much gift wrapping paper will she need to wrap the box
Using the surface area of a rectangular prism, it is found that she will need 366 square inches of wrapping paper to wrap the box.
He wraps the box with paper outside, hence, the amount needed is the surface area.
Surface area:The surface area of a rectangular prism of length l, width w and height h is given by:
[tex]S = 2(lw + lh + wh)[/tex]
In this problem, the dimensions of 11 inches long, 8 inches wide, and 5 inches tall mean that [tex]l = 11, w = 8, h = 5[/tex]. Hence:
[tex]S = 2[11(8) + 11(5) + 8(5)] = 366[/tex]
She will need 366 square inches of wrapping paper to wrap the box.
You can learn more about the surface area of a rectangular prism at https://brainly.com/question/1310421
Plz help. Find the value of each variable. 1. 95° 120° 4120° 125° x + 840° .
Answer:
Step-by-step explanation:
Sarah is 2 inches taller than the quotient of billy’s height and 5. Let b represent Billy’s height. write an expression that represents Sarah’s height
So, this has many steps to it.
This part is to let us know what symbols we should use (VERY IMPORTANT)
1. Since you know that Sarah is two inches taller, we would use a + sigh in our expression
2.Then you look for the key word which is quotient and that means to divide
All of our symbols are in now. Time for the next step
This part us know what we are dividing and adding.
Now 2+ b/5
Answer:
[tex]2 + \frac{b}{5} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Jane wrote all natural numbers from 5 to 12. including 5 and 12.
how many numbers did Jane write?
PLS ANSWER FAST
Answer:
5, 6, 7, 8, 9, 10, 11 and 12 are the natural numbers between 5 and 12 including them, therefore Jane wrote 8 numbers. natural numbers start at positive 1 and go up by whole numbers infinitely, hope this helps
15.
n. F(n)
2. 5
7. 15625
9. 390625
Explicit:
Recursive:
Answer:
400
Step-by-step explanation:
i think
help please anybody hmm
Answer:
18.7°F
Step-by-step explanation:
Difference
High temperature - low temperature
-3.6 - ( -22.3)
-3.6 + 22.3
= 18.7°F
After looking through different hotel options, Gabriela and Luis decided to estimate a budget of $1,200
$
1,200
for hotel costs. They want to stay 6
6
nights at a hotel. In addition, they know they should plan to pay $240
$
240
in taxes and tips. Let c
c
represent the total cost per night they should plan for the hotel.
What is the solution to the equation that represents this situation?
Answer:
The equation will be. c= 1200 / 240 + 6 = 440. C=440 (I don't know if this is correct)
Two trains, Train A and Train B, weigh a total of 378 tons. Train A is heavier than Train B. The difference of their weights is 210 tons. What is the weight of each train?
Answer:
Train A is 294 tons and Train B is 84 tons
Step-by-step explanation:
You can create a system of equations
A+B=378
A-B=210
Adding both would get
2A=588
2A/2=588/2
A=294
Now plug that in to the second equation (either is fine)
294-B=210
B=84
Check
294+84=378
Step-by-step explanation:
Let,
Weight of train A = x
Weight of train B = y
x + y = 378 (1)
x - y = 210 (2)
Now,
On adding 1 and 2
x + y + x - y = 378 + 210
2x = 588
x = 588/2
x = 294 tons
From 1
294 + y = 378
y = 378 - 294
y = 84 tons
How to you get 28 from the numbers 3, 6, 2, and 8, while only using each number once?
Answer:
3x6+2+8=28
Step-by-step explanation:
3x6=18
18 + 2 = 20
20 + 8 = 28
Answer:
9 1/3 or 9.33, 28/6 or 4 4/6, 14 and 28/8 or 3 4/8
Step-by-step explanation:
( 1 ) The number 28 divided by 3 gives 9 1/3 or 9.33.
( 2 ) Using a calculator, if you typed in 28 divided by 6, you'd get 4.6667. You could also express 28/6 as a mixed fraction: 4 4/6.
( 3 ) 28 divided by 2 is 14.
( 4 ) Using a calculator, if you typed in 28 divided by 8, you'd get 3.5. You could also express 28/8 as a mixed fraction: 3 4/8.
Solve the system of equations
2x - 9y =14
x= -6y + 7
Answer: x=
6
7
=1
6
1
≈1.166666667
y=−
9
14
=−1
9
5
≈−1.555555556
Step-by-step explanation:
simplify the quotient. Write the answer in sn.
Answer:
2.4*10^4
Step-by-step explanation:
write in scientific notation
first i would simplify the 3.6/1.5
=2.4
then you get (2.4*10^7)/10^3
formula: (m^x)/(m^y)= m^(x-y)
(2.4*10^7)/10^3
=2.4*10^(7-3)/1
=2.4*10^4
The Appalachian Trail is about 2,175 miles long.
If Katia averages 18 miles each day, how long will it take her to hike the length of the trail?
Answer:
121 days to hike the length of the trail.
Step-by-step explanation:
Divide 2175 miles by 18 miles/day. The unit 'miles' will cancel out, leaving with us the unit 'days.'
2175 miles
------------------- = 121 days
18 mi/day
The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of money collected from book sales.
Book Sales Revenue
What is the constant of proportionality?
0.67
1
1.5
2
Answer:
1.5
Step-by-step explanation:
6/4
Answer:
it's C. 1.5
Step-by-step explanation:
I did the test
A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?
Step-by-step explanation:
In 8 gallons of gas the car can go = 400 miles
In 1 gallon of gas the car can go = 400/8
In 1 gallon of gas the car can go = 50 miles
How far can the car take you with 1 gallon of gas? With 1 gallon of gas, the car can go 50 miles.
Step by Step calculations:
We know that
With 8 gallons of gas, the car can go 400 miles
Then,
With 1 gallon of gas, the car can go
= 400 / 8
= 50 miles
Therefore, with 1 gallon of gas, the car can go 50 miles.
Learn more here : https://brainly.com/question/10153922
Simon walks a total of 45.55 miles in march sand 35.7 miles in April.
How many miles does Simon walk in all march and April?
Enter your answer in the box.
|__|
Answer:
[tex]81.25[/tex]
[tex]45.55 + 35.7[/tex]