Answer:
y=-3x-10.5
Step-by-step explanation:
Let's use the first set of numbers.
-7.5 and 12
-3.5 and 0
Our rise here is -12 and run is 4. So, our slope is -3.
Now we just need our intercept.
y = mx + b
y = -3x + b
0 = -3(3.5) + b
b = -10.5
The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The table represents some points on the graph of a linear function.
х у
-7.5 12
-3.5 0
-1 -7.5
2 -16.5
3.5 -21
Take two points from the table, then the points are (-7.5, 12) and (-3.5, 0). Then the equation of the line is given as,
y - 0 = [(-3.5 + 7.5) / (0 - 12)](x + 3.5)
y = - (1/3)(x + 3.5)
3y = - x - 3.5
x + 3y + 3.5 = 0
The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.
More about the line passing through two points link is given below.
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this half my grade i cant fail help
Let's see what to do buddy....
[tex]T = b + \frac{d}{2f} \\ [/tex]
Subtract sides b
[tex]T - b = b - b + \frac{d}{2f} \\ [/tex]
Simplification
[tex]T - b = \frac{d}{2f} \\ [/tex]
Multiply sides by 2f
[tex](T - b)(2f) = d[/tex]
So ;
[tex]d =( T - b) \times (2f)[/tex]
We're done but i wanna go one step more...
[tex]d = T \times 2f - b \times 2f[/tex]
[tex]d = 2Tf - 2bf[/tex]
_________________________________
Hope helped buddy....♥️♥️♥️♥️♥️
Good luck :)
Solve the following system of equations. y + 5x = 30 2y = 5x + 15
Answer: Solve 2y-5x-30 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2y-5x-30 = 0 and calculate its properties
Step-by-step explanation:
Answer:
x = 3, y = 15
Step-by-step explanation:
Given the 2 equations
y + 5x = 30 → (1)
2y = 5x + 15 → (2)
Subtract 5x from both sides in (1)
y = 30 - 5x → (3)
Substitute y = 30 - 5x into (2)
2(30 - 5x) = 5x + 15 ← distribute left side
60 - 10x = 5x + 15 ( subtract 5x from both sides )
60 - 15x = 15 ( subtract 60 from both sides )
- 15x = - 45 ( divide both sides by - 15 )
x = 3
Substitute x = 3 into (3) for corresponding value of y
y = 30 - 5(3) = 30 - 15 = 15
Thus solution is x = 3, y = 15
Jim has an annual salary of $96,000. His monthly expenses include a $2,500 mortgage payment, a $250 lease
payment, $500 in minimum credit card payments, and a $425 payment on his speed boat. He also receives $1,200 in
interest from his savings and other accounts each month. Calculate Jim's DTI (debt-to-income) ratio.
a. 30%
b. 35%
c. 40%
d. 45%we
Answer:
40%
Step-by-step explanation:
(c) in Edge2020
The Debt to Income Ratio of Jim is 40%
Data;
Annual Income = $96,000 + (1200 * 12) = $96000 + 14400 = $110,400Mortgage payment = $2500 * 12 = $30,000Lease payment = $250Speed boat = $425 Credit card = 500 * 12 = $6000Debt To Income RatioThis is calculated as the sum of his total expenditures or liabilities to his total asset and expressed as a percentage.
Total liabilities is calculated as
[tex]30,000 + 5100+3000+ 6000 = $44100[/tex]
The DTI can be calculated as
[tex]DTI = \frac{44100}{110400}*100\\DTI = 39.94 *100\\DTI = 40 \%[/tex]
From the calculations above, the DTI of Jim is 40%
Learn more debt to income ratio here;
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The quadrilateral shown is a rhombus. What is m∠4?
A) 28°
B) 32°
C) 58°
D) 90°
In a rhombus, both pairs of opposite angles are congruent
so m<4=32 degrees
so your answer is 32 DEGREES
A child needs to take 1/2 tablespoons of medicine per day in 4 equal doses. How much medicine is in each dose?
PLEASE HELP
Answer:
1/8 tablespoons
Step-by-step explanation:
Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.
You can do this by multiplying 1/2 by 1/4.
[tex]\frac{1}{2} * \frac{1}{4} = \frac{1}{8}[/tex]
Answer:
it would be 1/8
Step-by-step explantion:
simply divide
1/2÷4
=1/8
(that should be right)
bruh no one is helping me with my questions anymore so could someone please help me on this :/
which of these statements are true
1. Vertical angles formed by intersecting lines are directly across from each other and are sometimes congruent.
2. An angle bisector divides an angle into two congruent angles
3. A midpoint divides a line into two congruent lines.
4. Perpendicular lines form congruent right angles.
5. An angle measuring 225 degrees is obtuse.
6. If two angles form a linear pair, then they are complementary.
Answer:
6,4,3,2
Step-by-step explanation:
The circumference of a circle can be found by multiplying Pi by the diameter True False
Answer:
True
Step-by-step explanation:
You can find the circumference by multiplying Pi and the diameter.
Answer:
True. And if you only know the radius, multiply the radius by two to get the diameter.
Xander goes to the movies with his soccer team. Each team member buys a ticket and two
boxes of popcorn. There are 13 team members.
Let t represent the cost of a ticket and p represent the cost of a box of popcorn.
a) Write two different expressions that represent the total amount the team spent.
b) Explain how each expression describes the situation in a different way.
Given that, the cost of a ticket = t and
cost of a box of popcorn = p.
Total members in the team = 13
As each team member buys 1 ticket and 2 boxes of popcorn, so, the amount spent by one member, [tex]C_1 = t+2p[/tex]
So, the total amount that the team spent [tex]= 13C_1[/tex]
(a) So, the first expression, representing the total amount spent by the team, is
[tex]13\times (t+2p)\cdots(i)[/tex]
On simplification, the second expression, representing the total amount spent by the team, is
[tex]13\timest + 13\times (2p)[/tex]
[tex]=13t+26p\cdots(ii)[/tex]
(b) The expression from the equation (i) represent the total amount spent as 13 times the expenses of one member, while equation (ii) is the sum of two terms where the first term, 13t, represents the total amount spent for buying the ticket and the second term, 26p, represents the total amount spent for buying popcorn
The variables x and y are related proportionally. When x =6, y = 10. Find y when x = 57.
When X = 57, y =
Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?
Answer:
[tex]-\frac{7}{25}[/tex]
Step-by-step explanation:
Value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
What is trigonometric ratio?" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."
Identity used
[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]
According to the question,
Given value of trigonometric ratio,
[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]
Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,
[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]
Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex] the trigonometric identity ,
[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]
Hence , value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
Learn more about trigonometric ratio here
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If Kiran solves the equation for p, which equation would result?
Answer: i have a answer but it is not up there srry
Step-by-step explanation:
what place does the three sit at in 43,628,698,591
Answer:
Billion
Step-by-step explanation:
In 43,628,698,591 the three is in the Trillion spot.
One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.
There are 9 #’s after the 3 which means it is billions :)
2x+3=17 and x =7
It’s for algebra class please help my teacher is really strict but okay please thank u a lot
Answer:
The equation is true/ or an identity
Step-by-step explanation:
Plug in 7 for x, you get
2(7)+3=17
14+3=17
17=17
Answer:
14+3=17or(2*7) +3=17basically 17=17Step-by-step explanation:
2x+3=17 and x =7
Let's Substitute:(Because the variable is x and we have a value for it which is 7)(Bold and underlined is where the variable is in the equation)Since x is equal to 7 we are going to substitute it in the equation.
So: (2*7) +3=1714+3=17I think this is the answer since already having the value of x is an answer please let me know if I am wrong or answered incorrectly so I can change my answer or let everyone know its wrong so it can be deleted. I only want to spread truthful information and assistance so let me know how I did by rating the answer, saying thanks or reporting it so I can improve.
Everyone Can Learn and will never stop learning!
Thank you! Hope this helps!Find the missing numbers:
X² + 9x + 14 = (x + 2)(x + ?)
Help!!!! Teah was selling candy bars for a fundraiser. She spent $25 on a box of candy bars and sold each candy bar for $2.50. Her profit was $75. Teah wrote the equation 2.5c−25=75 for this situation, and she found c=40.
Which statement is true about the solution c=40?
1. The solution c=40 is the amount in dollars that Teah spent on a box.
2. The solution c=40 is the number of candy bars Teah sold.
3. The solution c=40 is the selling cost of each candy bar, in dollars. (Wrong)
4. The solution c=40 is the profit in dollars Teah made from each candy bar.
5. The solution c=40 is the selling cost of a box of candy bars, in dollars.
Answer:
The answer is 2
Step-by-step explanation: It is 2 because you can just use the process of elimination 1 is wrong because you know how much she spent on a bod $25 and 3 is wrong because she is selling the candy bars for $2.50 we know that the story tells us that and 4 is wrong because the story tells us her profit was $75 not $40 and 5 is wrong because we already know the selling cost of a box of candy bars in dollars $25 so when you use the process of elimination trick you only have 1 answer left and that's 2.
2 is the answer
2y + 4 = x + 2
Plz help solve for x in terms of y
Answer:
x=2y+2
Step-by-step explanation:
Answer:
2y + 2 = x
Step-by-step explanation:
Treat is like a normal equation and solve with inverse operations:
2y + 4 = x + 2
-2 -2
2y + 2 = x
What do I put in those blank spaces? Been doing this for hours
Answer: okay so this is what I think is the answer I used a calculate so
Step-by-step explanation:
$12.05
$24.08
$36.12
$48.16
$60.20
Step-by-step explanation:
1 hour 2 hours 3 hours 4 hours 5 hours
$12.04 $24.08 $36.12 $48.16 $60.20
which is more , 1 gallon or 7 pints ,
a. 1 gallon
b. 7 pints
c. nethier ; they are equal
Answer:A
Step-by-step explanation: 1 Gallon is equal to 8 pints.
Answer:
A
Step-by-step explanation:
pint=1/8 of a gallon
therfor 7 pints = 7/8
7/8<1gal
write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4.
у вас всё правильно вы молодцы
Tyler bought a jacket regularly priced $35.00.
With a 30% markdown and a sales tax of 6%, approximately what is the cost of Tyler's jacket?
Answer:
$25.97
Step-by-step explanation:
You want to find 70% of $35.00 because there is a 30% markdown meaning 70% of the original price. 70% is the same as 7/10.
to get the price after markdown multiply $35.00 by 7/10 which equals $24.5
Multiply $24.5 by .06 to get the sales tax which is $1.47
So the sales tax is $1.47 and the price after markdown is $24.5 so take the sum of both. $1.47 + $24.5 = $25.97
The cost of Tyler's jacket is $23.03.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Tyler bought a jacket regularly priced $35.00.
With a 30% markdown, the cost of jacket is
30% of 35
= 30/100 ×35
= 0.3×35
= 10.5
So, the cost of jacket is 35-10.5=$24.5
Now, sales tax on $24.5
That is, 6% of $24.5
= 6/100 ×24.5
= 0.06×24.5
= 1.47
Cost of jacket is 24.5-1.47
= $23.03
Therefore, the cost of Tyler's jacket is $23.03.
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log4 x + log4 (x – 3) = 1 Solve the equation.
Answer:
x is EQUIVALENT to 2.89
Step-by-step explanation:
4x - 10 = p+ 3x - 2x what is the value of x
Answer: if you need more let me know
Please help me answer this question 17
Answer:
∠AEC = 139°
Step-by-step explanation:
EC bisects ∠BED. This means that the line EC cuts the angle in half, so ∠BEC = 4x + 1
Find the distance between the two points rounding to the nearest tenth (if necessary). (8,-9) and (2,-7)
Answer: 6.32 units
Step-by-step explanation: You count the distance and get 6.32 units.
Look at the table
What is the ratio of cows to horses?
pwease help me
Answer:
5:8 is the ratio of cows to horses.
Identify the axis of symmetry of the parabola.
Answer:
AOS: x = -1
Vertex: (-1, -2)
Step-by-step explanation:
Indentify the turning point of the graph with is x = -1.
For the function, f(x) = x - 2, find x if f(x) = -1.
I NEED HELP ASAP!!!!!
PLEASEEEEE
Answer:
5) y = -8x -4
6) y = 2x + 3
Step-by-step explanation:
Slope is rise over run. For the first problem, you went down 8 and over 1 to your next point. Going down means you have a negative slope. -8/1 is 8. Your y intercept is where the line meets the y axis. The line meets the y axis at -4.
The line meets a new point every time it goes over 1 and up 2. Rise over run means 2/1. The line goes up so the slope is positive. The line meets the y axis at 3
try ur best
FRIEND ME :p
Answer:
6Step-by-step explanation:
If Kevin has 4 more points
than Carl, and then Tom has
2 fewer points than Carl, then Kevin
had 6 more points than all of Tom's points.
Hope this helps! <3
Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
posts
Answer:
22
Step-by-step explanation:
The side of the rectangle that is 20 feet divide it by 5
[tex]\dfrac{20}{5}=4[/tex]
Now we add one to this as the fence post each required in each 5 feet section.
The same is the case for the opposite side.
So, the number of fence posts for the 20 feet sides is [tex]5+5=10[/tex]
Now for the 35 feet side
[tex]\dfrac{35}{5}=7[/tex]
Remove 1 fence post from the ends as that fence post will be covered by the ones on the 20 feet side.
So, new posts on the 35 ft side is 6.
So, the number of fence posts for the 20 feet sides is [tex]6+6=12[/tex]
Total number of posts is [tex]10+12=22[/tex]