Answer:
Step-by-step explanation:
(-2 - 2)/(-4 + 2)= -4/-2= 2 is the slope
y - 2 = 2(x + 2)
y - 2 = 2x + 4
y = 2x + 6 is the equation
Answer:
The slope is 2
Step-by-step explanation:
Hope this helps!
Your store cost on a dozen eggs is $0.75, and your retail price is $2.99. You are having a promotion that discounts the
eggs 10%. What is your margin on the discounted eggs?
Answer:
$1.94
Step-by-step explanation:
The Margin on the discounted eggs is $2.392.
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:
Store cost on a dozen eggs is $0.75,
and retail price is $2.99.
The amount of discount is 10%
Discount given on $2.99
= 10% of 2.99
= 0.1 x 2.99
= 0.299
Cost of eggs after discount =2.99-0.299= 2.691
So, The discounted eggs costs $2.691.
Hence, The difference in store cost and discounted cost = 2.691- 0.299
= $2.392
Learn more about unitary method here:
https://brainly.com/question/22056199
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Zane buys a rope that is 50 feet long. The cost of the rope is $0.35 per foot, including tax. What is the total cost, in dollars, of Zane’s rope?
Answer:
50x.35=17.50
Step-by-step explanation:
multiply length times amount per foot equals total cost
Write the linear equation in slope-intercept form given the following:
(-3, 7) and (6, -8)
Answer:
y = - [tex]\frac{5}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)
m = [tex]\frac{-8-7}{6+3}[/tex] = [tex]\frac{-15}{9}[/tex] = - [tex]\frac{5}{3}[/tex] , then
y = - [tex]\frac{5}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (6, - 8) , then
- 8 = - 10 + c ⇒ c = - 8 + 10 = 2
y = - [tex]\frac{5}{3}[/tex] x + 2 ← equation of line
Edward wants to take his friends bowling at a bowling alley that charges $5.50 per person for unlimited bowling plus a $3.50 basic lane fee. He doesn´t want to spend more than $44. How many friends can he invite without going over budget?
Answer:
He can invite 7 friends
Step-by-step explanation:
44 divided by 5.50=8 BUT!
remember the lane fee so only 7 friends can come
Linda is making a mosaic stepping stone to place in
her garden. The stone is shown below. How much
mosaic glass tile will Linda need to cover the surface
of five stepping stones? Use 3.14 for pie.
Help please lol
Answer:
D 565.2 in
Step-by-step explanation:
First you need to find the area of the stepping stone. The rule for area of circle is pi times radius squared. To find the radius you divide 12 by 2 = 6. After you do 6 times 6= 36 you multiply 36 times pi (3.14) = 113.04. After we find the are of the stepping stone we multiply it by five to get how many inches we have to cover. 113.04 times 5= 565.2 in.
what is the measure of EGF?
Answer:
i think c
Step-by-step explanation:
Answer:
B) 40.18°
Step-by-step explanation:
since it's a right triangle and you know values for opposite and hypotenuse you can use:
sin x = 12/18.6
this comes out to be 40.18°
70√201 please give me your answer
Answer:
992.42
Step-by-step explanation:
Plz Solve Will Mark Brainliest and No Stealing Points Or Will Report
Part 2
Answer:
Before we graph [tex]y = -\frac{1}{2}x,[/tex] we know that the slope, mx, could be read as [tex]\frac{rise}{run}[/tex]. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.
For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable [tex]x[/tex] does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.
Simplify the expression
Answer:
-9.8n + 10.9
Step-by-step explanation:
2.9 + 8 = 10.9
-4n + -5.8n = -9.8n
P = 100 - 20 cos (8πt/3) That's (8 pi t /3) where t is the time (in seconds). What is the period of the model? Discuss what the period represents in the context of this model.
Answer:
The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.
Step-by-step explanation:
Cosine is a trigonometric function and trigonometric functions are characterized by having a periodical behavior. The period is the time needed for the function to cover an angle of [tex]2\pi[/tex] radians. By this approach we find that:
[tex]\frac{8\pi\cdot t}{3} = \frac{2\pi\cdot t}{T}[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]T[/tex] - Period, measured in seconds.
Then, we solve (1) for [tex]T[/tex]:
[tex]\frac{8}{3} = \frac{2\pi}{T}[/tex]
[tex]T = \frac{6\pi}{8}\,s[/tex]
[tex]T = \frac{3\pi}{4}\,s[/tex]
The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.
Calculate the unit price of the following item:
Chocolate chip cookies cost $2.79 per package and
there are 30 cookies inside. What is the price per
cookie? *
Write an algebraic expression for three times the quantity q minus eleven
CAN SOMEONE HELP ME PLEASE
Answer:
[tex]\frac{\sqrt{189x^3y^6} }{\sqrt{3x} } \\= \frac{\sqrt{3^2(7)(3)(x^2)(x)(y^3)^2} }{\sqrt{3x} } \\=\sqrt{\frac{(3xy^3)^2(7)(3x)}{3x} }\\=3xy^3\sqrt{7}[/tex]
Through (-5,-3), slope = 1/5
Answer:
what you want
1/5x-5+-3=y
Step-by-step explanation:
Answer:
y=1/5x-2
Step-by-step explanation:
(y - y1) = m(x - x1)
y-(-3)=1/5(x-(-5))
y+3=1/5(x+5)
y+3=1/5x+1
y=1/5x+1-3
y=1/5x-2
if k is the incenter of def find each measure
Answer:
Step-by-step explanation:
Simplify: |72 - 9 • 7| - 8|16 - 2|
Answer:
answer is -103
what is 1/6x + 3/4(1/2x - 4)?
Answer:
13x/24-3
Step-by-step explanation:
Answer:
hello! :) have a good day!
[tex]\frac{13x}{24\\} -3[/tex]
Tito builds a model of the solar system. In his model, the diameter of the sphere representing Jupiter is 7
inches. What is the circumference of a cross section through the center of the model of Jupiter? Use 3.14
for π
Answer:
21.99
Step-by-step explanation:
C = 2 * Pi * (r)
Diameter = 7
Radius = 3.5
Pi
21.99
The area of triangle ABC is?
Answer:
[tex] A(\triangle ABC) =17.5 \: {units}^{2} [/tex]
Step-by-step explanation:
AB = 4 - (-3) = 4 + 3 = 7 units
BC = 3 - (-2) = 3 + 2 = 5 units
[tex]A(\triangle ABC) = \frac{1}{2} \times AB\times BC \\ \\ A(\triangle ABC) = \frac{1}{2} \times 7\times 5 \\ \\ A(\triangle ABC) = \frac{1}{2} \times 35 \\ \\ A(\triangle ABC) =17.5 \: {units}^{2} [/tex]
f(x)= y-x/x^2-16
(that’s a fraction; and the ^ indicates the 2 is a exponent)
Answer:
= 1/x^2
Step-by-step explanation:
Possible derivation:
d/dx(-16 - 1/x + y)
Differentiate the sum term by term and factor out constants:
= d/dx(-16) - d/dx(1/x) + d/dx(y)
The derivative of -16 is zero:
= -(d/dx(1/x)) + d/dx(y) + 0
Simplify the expression:
= -(d/dx(1/x)) + d/dx(y)
Use the power rule, d/dx(x^n) = n x^(n - 1), where n = -1.
d/dx(1/x) = d/dx(x^(-1)) = -x^(-2):
= d/dx(y) - -1/x^2
Simplify the expression:
= 1/x^2 + d/dx(y)
The derivative of y is zero:
= 1/x^2 + 0
Simplify the expression:
Answer: = 1/x^2
the original pattern for dress is 33 3/4 inches long. kimmy needs her dress to be 32 1/2 inches long how much shorter than the pattern does kimmy need to make her dress
Answer: 1 1/4
Step-by-step explanation: 32 1/2 is the same as 32 2/4 so all you have to do is subtract 32 2/4 from 33 3/4 which leaves you with 1 1/4
Find the value of x when the triangle has 9 and 3
Answer:
H²=h²+b²
H²=9²+3²
H²=81+9
H²=90
H=
[tex] \sqrt{90} [/tex]
PLZ HELP ME :(
Tanisha lives in an apartment and pays the following expenses each month: electric bill,$42.60; TV streaming service,$27.99; and rent,$587.70. Estimate her total expenses for the month by first rounding each value to the nearest tens place.
A.)$659
B.)$650
C.)$670
D.)$660
Answer:
D)$660
Step-by-step explanation:
Add all of them up and you get $658.29 the number in the tens place is 5 and the number on the right is 8 so you round up.
Find the unknown side length x. Write your answer in simplest radical form
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 30² = 50²
x² + 900 = 2500 ( subtract 900 from both sides )
x² = 1600 ( take the square root of both sides )
x = [tex]\sqrt{1600}[/tex] = 40 → B
If 1 large popcorn and 4 large drinks cost $21 how much does 1 large popcorn cost?
Answer:
6-7 dollars maybe?
Step-by-step explanation:
you didn't give a picture so Im just rounding
(sorry if I'm wrong)
Solve for x. Round your answer to the nearest tenth.
9.2
X
16.5
Answer:
152
Step-by-step explanation:
please help me out please
Answer:
Distance formula = √(x2 - x1)^2 + (y2 - y1)^2
Step-by-step explanation:
(-2, 6) to (3, -2)
3 + 2 = 5^2 = 25 + 64 = 89.
√89
Which of the following is a polynomial?
A. X^4+ x^-4+ 16
B. 1/2+ 2
C. x2-1
D. (x^6- 2)
(x^4 +3)
BRAINLIEST!!
You survey the students in your class to find out what kinds of movies they
like to watch. The students were given the following choices: Comedy (C),
Horror (H), Drama (D), Action (A), Romance (R).
The following were the results of your survey:
C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R, H, H, H, C, H, A, R, D, D, D, D, H, R
b. What is the relative frequency of the people that chose comedies? Show your calculation.
c. What is the relative frequency of the people that chose horror? Show your calculation.
Answer:
13.33 %
23.33 %
Step-by-step explanation:
Simple probability question.
The relative frequency of people who chose comedies, would be 4/30 => 4/30*100 = 13.33 %
The relative frequency of people that chose horror, would be 7/30 => 7/30*100 = 23.33 %
3. A building stands on level ground. The measure of the angle of elevation of the top of the building, taken at a
point 400 feet from the foot of the building, is 31 degrees. Find, to the nearest tenth of a foot, the height of the
building
Answer:
12,400
Step-by-step explanation:
so what you are going to first is 400 times 31 which is 12,400