The slope intercept form of the equation is
y = -1/4x -11/4
What is Slope Intercept form ?One of the most popular ways to describe a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula may be used to get the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.
The slope intercept form is a technique for figuring out a straight line's equation in the coordinate plane. Any point's coordinates on a straight line must fulfill a certain relation, which is known as the equation of a straight line.
Any location that is not on the line will not fulfill the coordinates.
This equation's solution is simple to find. A straight line's slope, or angle of inclination from the x-axis, and the intercept it makes with the y-axis are both necessary to determine the slope intercept form of the line.
The line passes through (1,-3)
slope = -1/4
The equation of the line
y = mx + c
here m is the slope and c is the intercept.
putting the point and slope in the equation
-3 = -1/4 *1 + c
⇒ c = -11/4
So the slope intercept form of the equation is
y = -1/4x -11/4
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Which values are solutions to the inequality below?
Check all that apply.
√x >8
Answer:
x > 64
therefore, 65 and 66 both apply
Step-by-step explanation:
[tex]\sqrt{x}[/tex] > 8
square each side to get:
x > 64
Solve the inequality 3 x+2 y≥−6 graphically.
Answer:
Step-by-step explanation:
Answer: y ≥ −3/2x − 3
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
Hope this helps!
HELP DUE IN 5 MINS!
Solve for x in the polygon below.
x=?? degrees
Answer:
135
Step-by-step explanation:
540-75-120-120-90=135
Answer:
x = 135
Step-by-step explanation:
Total sum of interior angles of a pentagon = 540
75 + 120 + 120 + 90 + x = 540
405 + x = 540
=> Subtract 405 on both sides of "="
x = 135
Hope this helps!
Can some one help me with this question its hard :( down below ill give brainliest
Answer: The answer would be C
Step-by-step explanation:
You want to divide. 15/3= 5 and then a^3 is basically being divided by 1 so your completed answer would be 5a^3
Find the area of the yellow region.
Round to the nearest tenth.
DO
.6 in
6 in
Area
[? ] in2
Enter
Answer:
3.9 inches
Step-by-step explanation:
area of a circle = πr²
= π 3²
= 9 π
9π = 28.3 (rounded).
area of a square = length x width
= 6 x 6
= 36 inches
36 - 28.3
= 7.7
÷2 to get the individual value
= 3.9 inches rounded
The area of the yellow region will be [tex]3.86[/tex] squared inches.
What is area ?Area is the space occupied by any shape.
Area of the square [tex]=side*side[/tex]
We have,
A square of [tex]6[/tex] inch in side, divided in two semi-circles.
Radius of semi-circle[tex]=3[/tex] inch
Now,
Area of the square [tex]=side*side=6*6=36[/tex] squared inches
Now,
Area of a semi-circle[tex]= \frac{\pi }{2}r^{2}=\frac{22 }{2*7} (3)^2=14.14[/tex] squared inches
So,
Area of two semi-circles[tex]=28.28[/tex] squared inches
Now,
Area of yellow part [tex]= \frac{36-28.28}{2}=3.86[/tex] squared inches
So, Area of yellow part is [tex]3.86[/tex] squared inches find out by dividing by two because other part is equals to yellow part.
Hence, we can say that the area of the yellow region will be [tex]3.86[/tex] squared inches.
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What is the slope of the line that passes through the points (1, 6) and (13, 2)? Write your answer in simplest form.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{13}-\underset{x_1}{1}}} \implies \cfrac{ -4 }{ 12 } \implies {\Large \begin{array}{llll} - \cfrac{1 }{ 3 } \end{array}}[/tex]
If an investment company pays 6% compounded continuesly, how much should you deposit now to have $10,000 5 years from now?
The amount of money should you deposit now to have $10,000 5 years from now is $7407.
What is compound interest?Theoretically, continuously compounded interest means that interest is continuously earned on an account balance as well as reinvested into the balance to increase future interest earnings.
Given that If an investment company pays 6% compounded continuously and $10,000 for 5 years.
The amount of money invested will be calculated by the formula below,
[tex]P = P_o(e)^{rt}\\10000 = P_o ( e)^{0.06\times5}\\[/tex]
P₀ = 10000 / 1.35
P₀ = 7407
The amount of money invested would be 7407.
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What quadrant does (-a,b) belong
Coordinate (-a , b ) belongs to second quadrant.
What is a Quadrant?The axes (x-axis and y-axis) of a two-dimensional Cartesian plane system divide the plane into four infinite regions called quadrants. The horizontal line or x-axis and vertical line or y-axis intersect each other at the right angle. The intersection of two lines is known to be the reference point. All the measurement is done by taking this point as the reference (or starting point) in the coordinate system.
"A quadrant is simply defined as the region of a cartesian plane formed when the x-axis and y-axis intersect each other."
Given, Coordinate ≡ (-a , b)
1st Quadrant: The upper right-hand corner of the graph is the first quadrant. In this quadrant the values of x and y both are positive.
2nd Quadrant: The upper left-hand corner of the graph is the second quadrant. In this quadrant, the value of x is negative whereas the value of y is positive.
3rd Quadrant: The lower left-hand corner of the graph is the third quadrant. It contains the negative values of both x and y.
4th Quadrant: Finally, the fourth quarter is at the lower right-hand corner, which has a positive value of x and a negative value of y.
Hence, by the above observation, given coordinate (-a, b) belongs to the 2nd quadrant.
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1) You went to the supermarket to buy 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much would you have to pay?
I need the answers ASAP!
You went to the supermarket to buy 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much would you have to pay?
You do 10 x 50 = 500 / Your bananas weigh 500g
$6.50 halved is $3.25 / So $3.25 for 500g
So your answer is $3.25
Hope this helps! :)
In the figure, what is the value of a?
a
35
48
21
what is the total cost with sales tax? price 120.00 tax 5%
Answer:
5% of 120 is 6, so you would add that 6 to 120.
120 + 6 = 126.
The total cost will sales tax would be $126.00.
Step-by-step explanation:
Hope it helps! =D
my smart people help me love yall! ^^
Answer:
x = 36
Step-by-step explanation:
180 - 126 = 54
90 + 54 + x = 180
144 + x = 180
180 - 144 = x
x = 36
Have a nice day!
Can someone help me with this
I will mark the person brainliest who answers with an actual correct answer
Due soon!!!
Answer:
B
Step-by-step explanation:
hope it helped : )
How do you find the area of an acute triangle without height?
The area of the triangle is equal to the squareroot of 10(10-5)(10-7)(10-8), which is equal to 24.
The area of an acute triangle without height can be calculated using Heron's Formula. Heron's Formula states that the area of a triangle is equal to the squareroot of s(s-a)(s-b)(s-c) where s is the semi-perimeter of the triangle and a, b, and c are the lengths of the three sides.
To find the area, first calculate the semi-perimeter of the triangle. The semi-perimeter is equal to one-half the sum of the three sides. For example, if the lengths of the three sides of a triangle are 5, 7, and 8, the semi-perimeter is equal to 5 + 7 + 8 divided by 2, which is equal to 10.
Next, plug the values into Heron's Formula. Using the same triangle as an example, the area of the triangle is equal to the squareroot of 10(10-5)(10-7)(10-8), which is equal to 24.
Finally, calculate the area of the triangle by taking the square root of 24, which is equal to 4.9. Therefore, the area of the triangle is 4.9 square units.
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15 points!
Find the indicated limit, if it exists.
Answer:
The limit does not exist
General Formulas and Concepts:
Calculus
Limits
Right-Side Limit: [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]Left-Side Limit: [tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]Limit Rule [Constant]: [tex]\displaystyle \lim_{x \to c} b = b[/tex]
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Limit Property [Addition/Subtraction]: [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]
Step-by-step explanation:
*Note:
In order for the limit to exist, the right-hand and left-hand limits must equal each other
Step 1: Define
Identify
[tex]\displaystyle f(x) = \left \{ {{x + 10,\ x < 8} \atop {10 - x,\ x \geq 8}} \right.[/tex]
Step 2: Find Right-Hand Limit
Substitute in function [Limit]: [tex]\displaystyle \lim_{x \to 8^+} 10 - x[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 8^+} 10 - x = 10 - 8 = 2[/tex]Step 3: Find Left-Hand Limit
Substitute in function [Limit]: [tex]\displaystyle \lim_{x \to 8^-} x + 10[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 8^+} x + 10 = 8 + 10 = 18[/tex]∴ since [tex]\displaystyle \lim_{x \to 8^+} f(x) \neq \lim_{x \to 8^-} f(x)[/tex], [tex]\displaystyle \lim_{x \to 8} f(x) = DNE[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
An investment portfolio is shown below.
Investment Amount Invested ROR
Stock A $1,800 1.5%
Stock B $4,600 3.7%
Stock C $580 11.2%
Stock D $1,122 −2.8%
Using technology, calculate the weighted dollar amount of Stock C.
$27.00
$64.96
$170.20
$184.00
The required weight of the dollar amount of Stock C is $64.96.
The Correct option is (B).
What is simplification?In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.
Given:
Investment Amount Invested ROR
Stock A $1,800 1.5%
Stock B $4,600 3.7%
Stock C $580 11.2%
Stock D $1,122 −2.8%
According to the question,
Weight of dollar amount of Stock C
= 580 × 11.2%
= 580 x 0.112
= $64.96
Hence, the required weight is $64.96.
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Which blocks have a volume between 20 and 30 cubic centimeters?
A, B
A, C
B, C
B, D
Each of the cuboidal blocks B and D has a volume of 24 cubic units. As a result, choice D is the right response.
What is the formula to find the volume of a cuboidal block?
The formula to find the volume of a cuboidal block is l×b×h.
The dimensions of cuboidal block A are length=6 units, breadth=2 units and height=1 units
Now, the volume of a cuboidal block A=6×2×1=12 cubic units.
The dimensions of cuboidal block B are length=4 units, breadth=2 units and height=3 units
Now, the volume of a cuboidal block B=4×2×3=24 cubic units.
The dimensions of cuboidal block C are length=5 units, breadth=3 units and height=3 units
Now, the volume of a cuboidal block C=5×3×3=45 cubic units.
The dimensions of cuboidal block D are length=6 units, breadth=2 units and height=2 units
Now, the volume of a cuboidal block D=6×2×2=24 cubic units.
The volume of cuboidal blocks B and D is 24 cubic units each. Therefore, option D is the correct answer.
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HELPPPPP ASAPPPPPP!!!!! PLZZZZZ!!!!
Answer
rotation around point b
Step-by-step explanation:
What is a polynomial class 7?
The polynomial which has a degree of 7 can be known as a polynomial of class 7.
Polynomials are expressions containing of variables and constants. The variable having the highest power forms the degree of the polynomial.
The degree of a polynomial with one variable is known as the highest exponent power of that variable in the mentioned polynomial.
Finding the degree of a polynomial with more than one variable is a simple task , as adding the exponents of each variable in the supplied terms and then determining which term has the highest degree. That is the polynomial's degree.
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Evaluate the expression!!
The given expression is equivalent to 22 for x = 17 and y = 12.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as follows -
2x - y
For x = 17 and y = 12, we can evaluate the expression as -
2 x 17 - 12
34 - 12
22
Therefore, the given expression is equivalent to 22 for x = 17 and y = 12.
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Russel is doing an experiment for a science fair project. He fills a beaker with water three times. He puts 16.5 mililiters of water in each test tube. How many full test tubes can Russel fill with water? 1. Describe one way to estimate the solution to this problem. 2. Russel calculates correctly and says the answer to the problem is 36.36 test tubes. Is Russel's answer reasonable? Explain
The number of full test tubes Russel fill with water must be discrete number and not rational. 36 test tubes is the answer.
How to Know Cylinder Volume ?Volume of a cylinder can be known either by the use of formula (V = πr²h) or by measuring with the volume of a known liquid.
Given that Russel is doing an experiment for a science fair project. He fills a beaker with water three times. He puts 16.5 milliliters of water in each test tube. How many full test tubes can Russel fill with water?
1. Describe one way to estimate the solution to this problem.
By dividing the amount of milliliters of water in the baker by 16.5 ml
2. Russel calculates correctly and says the answer to the problem is 36.36 test tubes. Is Russel's answer reasonable?
No! The reason is based on the fact that the answer must be a whole number and not a decimal number since the question centered on number of full test tubes filled with water.
Therefore, the correct answer should be 36 test tubes.
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A system of equations is shown on the graph below. On a coordinate plane, lines with equations y = x + 2 and y = x minus 3 are parallel. How many solutions does this system have? no solutions one unique solution two solutions an infinite number of solutions
Answer:
No Solution
Step-by-step explanation:
When we solve for the first variable in one of the equations, then substitute the result into the other equation. Which would lead to these equations having no solutions .
I really hope this helps !
I'm terribly sorry if It didn't .
If you need me to elaborate please feel free to ask :))
I hope you have a wonderful day , stay safe!!
~Sleepy~
Answer:When we solve for the first variable in one of the equations, then substitute the result into the other equation. Which would lead to these equations having no solutions .
A family buys 5 airline tickets online. The family buys travel insurance that costs $16 per ticket. The total cost is $840. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
n-7=sqrt(n+5)
Solve the following equation for all the values of y.
Step-by-step explanation:
hope this helps. n=6 or n=9 work is in the attached pic
Para festeja su cumpleaños,Nancy compró 15 paquetes de pizzetas. Si cocinó 288 pizzetas, cuántos paquetes completos le quedaron?
Answer:
Nancy consumió 12 paquetes de pizzetas y le quedaron 3 paquetes completos.
Step-by-step explanation:
En primer lugar, debemos descomponer el número total de pizzas como una multiplicación de números primos. Al realizar la descomposición factorial tenemos que:
[tex]288 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3[/tex]
Entonces, los familia de divisores de 288 es el siguiente conjunto:
[tex]D_{288} = \{2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 \}[/tex]
Si tanto la cantidad de paquetes de pizzetas y la cantidad cocinada de pizzetas son números enteros y positivos, siendo la última mucho mayor. Entonces, la cantidad de pizzetas debe ser un número entero y la cantidad de paquetes gastados menor a la cantidad de paquetes comprados y el número entero más cercano a esa cantidad. Entonces, concluimos que Nancy se gastó 12 paquetes de pizzetas, quedándole 3 paquetes completos.
Can someone give me the measurements for reflecting this.
Gcse foundation
Thanks
Answer:
( 2 , 1 ) , ( 4 , 1 ) , ( 4 , 4 ) .......
Answer:
Points of B are (-4,-1), (-2,-1) and (-4,-4)
Step-by-step explanation:
Points of A are (-4, 1), (-2, 1) and (-4,4)
Name the reflected trangle B.
If you have a point (x,y) and you reflect in the x-axis. That point becomes (x,-y).
Therefore. Points of B are (-4,-1), (-2,-1) and (-4,-4)
What equation represents a linier function that is proportional
Answer:
d
Step-by-step explanation:
Robert is building a deck in his backyard. Each piece of wood measures 42.5 inches. If he has 8 boards, how long are they altogether?
The length of the wood altogether is 340 inches
How to calculate the length of the wood?Robert is building a deck
Each piece of the wood measures 42.5 inches
Robert has 8 boards
The length of the wood altogether is
= 42.5 × 8
= 340
Hence the length of the wood is 340 inches
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Both Phoebe and Connor are trying to maximize their lifetime income. Each has a different plan on how to do this best:
Phoebe claims that she wants a career with no college or trade school requirements because she could save the money for retirement rather than spending it on education. She estimates her average yearly salary at $35,000 per year with no post-secondary education requirements.
Connor claims post-secondary education will help him get a career with a higher salary and more benefits that he can use in retirement, so the education costs will more than pay for themselves. Connor estimates paying $80,000 for his post-secondary education and an average yearly salary of $60,000 per year after he earns his college degree.
Which statement about their claims is correct?
A. Phoebe is correct because a college education is overly expensive and is almost a waste of money.
B. Phoebe is correct because she will not be spending tuition dollars on college while earning $140,000 during the four years it would take to earn an undergraduate degree. College graduates would never be able to make up that difference in earnings.
C. Connor is correct because it is likely that the increased income and better benefits he will earn throughout his career will outweigh the $80,000 and four years he invests in his college education.
D. Connor is correct because a person without a college degree will never be able to support himsel
Answer:
C. Connor is correct because it is likely that the increased income and better benefits he will earn throughout his career will outweigh the $80,000 and four years he invests in his college education.
Step-by-step explanation:
I did 100% on edge 2021
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One year ago, Farid spent $16,600 on a new pizza oven for his restaurant, The Dough Zone.
He checked the value of his oven online and discovered it is worth $15,770 today. The
website also predicts that the oven's value will continue to decrease each year.
Write an exponential equation in the form y = a(b)* that can model the value of the pizza
oven, y, x years after purchase.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
Exponential equation in the form y = a(b)* that can model the value of the pizza oven, y, x years after purchase is y = 16000(0.985625)ˣ.
The formula for an exponential function is f (x) = ax, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour. After x hours, you will have twice as much germs if you start with one and it doubles every hour. F(x) = 2x can be used to express this.
The exponential equation is y = a(b)ˣ
The value of y = 15770, a = 16000 and x = 1
b = 0.985625
y = 16000(0.985625)ˣ
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