Answer:
1) The linear equation in point and slope form is y - 67 = -4 × (x - 14)
2) The variables are;
a) The number of candies available = y
b) The number of days Jennifer eats the candies =
c) The slope, m = -4
3) Jennifer received 123 pieces of candies on Halloween
Step-by-step explanation:
The given parameters are;
The number of candies Jennifer eats everyday = 4 pieces
The number of days for which Jennifer eats the daily 4 candies = 14
The number of candies left at the end of the 14th day = 67 candies
1) We note that the rate of decrease in the number of candies = 4 candies/day
Therefore, the slope of the linear equation is m = -4
The y-intercept = The initial amount of candies Jennifer has = c = 67 + 14× 4 = 123 candies
The linear equation in point and slope form is given as follows;
y - 67 = -4 × (x - 14)
2) The variables are;
a) The y-value represents the number of candies available on a specific day
b) The x value represents the number of days Jennifer eats the candies'
c) The slope = The rate of decrease in the number of candies per day = -4
3) The number of candies Jennifer receives on Halloween is given by the y-intercept of the straight line equation as follows;
y - 67 = -4 × (x - 14)
y - 67 = -4·x + 56
y = -4·x + 56 + 67 = -4·x + 123
y = -4·x + 123
Comparing the above equation, with the general form of the straight line equation, y = m·x + c, where, the constant term, c = The y-intercept, we have;
The y-intercept of the equation y = -4·x + 123 = 123 = The initial amount of candies Jennifer received on Halloween.
3x+ax-6>-10. Determine the largest integer value of a when x= -2
Answer:
a>
−3x−4
x
Step-by-step explanation:
Find the slope of the line Passing through the given Points using the slope formula
Answer:
Slope is 1/2
Step-by-step explanation:
Slope Formula: m = y2 - y1/x2 - x1
We have points: (1,2) and (9,6)
m = y2 - y1/x2 - x1
m = 6 - 2/9 - 1
m = 4/8
m = 1/2
Hope This Helps!
If the measures of two sides of a triangle are 3 feet and 7 feet which is the least possible whole number measure for the third side
Answer:
5,6,7,8,9 ft
Step-by-step explanation:
7-3 < x < 7+3
x < 10
x= 5,6,7,8,9
PLEASE HELP THANKS!!!
What is the equivalent form of the mathematical expression 14 + 35?
Group of answer choices
2(7 + 17)
14(1 + 21)
7(2 + 5)
10(4 + 15)
Answer:
7(2 +5)
Step-by-step explanation:
Both the numbers (14 and 35) have a GCF (greatest common factor) of 7. If you divide both numbers by 7, you get 2 and 5. Therefore, your answer would be 7(2 +5)
Answer:
I guess it is A because it is the closest to the answer for the expression 14 + 35.
Step-by-step explanation:
Need Help Asap! Thank you!
find the domain of (5y-8)/11
The domain of the function f(y) = (5y - 8)/11 is the set of all real numbers.
Dom(f(y)) = R.
What is the domain and range of a function?Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x is defined.
Given a function f(y) = (5y - 8)/11.
It is a real function and the domain of the function is the set of all real numbers.
There are no restrictions as the denominator is constant and no such values of 'y' make the denominator zero.
learn more about the domain and range here :
https://brainly.com/question/28135761
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A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
[tex]Volume = 18312.48[/tex]
Step-by-step explanation:
Given
[tex]Height (h) = 18mm[/tex]
[tex]Radius (r) = 18mm[/tex]
Required
Determine the volume
The volume of a cylinder is calculated as thus:
[tex]Volume = \pi r^2h[/tex]
Substitute values for r and h
[tex]Volume = 3.14 * 18^2 * 18[/tex]
[tex]Volume = 18312.48[/tex]
Hence, the volume of the cylinder is 18312.48mm³
PLEASE HELP!!!! LAST QUESION!!!?
Answer:
y = 60
x = 20
~ PumpkinSpice1
Sorry this is super messy, Hope it makes sense! Tell me if it doesn't :)
Wendy has red and white roses in groups of 6. She has x groups of red roses and y groups of white roses. Which expression shows the total number of roses that Wendy has?
aX/6+Y/6
b6x + 6y
c6x + y
dx + 6y
Answer:
b. 6x + 6y
Step-by-step explanation:
x groups of 6 red roses
y groups of 6 white roses
of in math means multiply
so it is 6 times plus 6 times y
it could also be written as 6x+6y
(when a letter stands next to a number you multiply it)
Drag the number to match each rate to its equivalent ratio
Answer:
To find the mpg all we have to do is divide the numbers in the ratio.
119 miles / 3.5 gallons = 34 mpg
77 mi / 2.2 gal = 35 mpg
153 mi / 4.25 gal = 36 mpg
Find the unknown angle measured
Answer:
b=121, a and c=59
Step-by-step explanation:
b and 121 are congruent angles, so they are equal to each other.
each side of a line equals 180 degrees, so subtracting 180-121=c gives you 59 degrees.
a and c are congruent angles so they are also equal to each other
N+16=9 solve for variable
Answer:
N= -7
Step-by-step explanation:
N+16=9
subtract 16 from both sides
N= -7
A cone has a height of 7 yards and a radius of 4 yards. What is Its volume?
Use a % 3.14 and round your answer to the nearest hundredth.
cubic yards
Answer:
788878
Step-by-step explanation:
789879
David loves to cook! He knew 21 recipes before starting cooking school and he learns 2 recipes
every 1 one week. An equation to represent that is y = 21 + 2x where x represents number of
weeks and y represents number of recipes.
His friend Sarah believes that if he attends school for 10 weeks that means he knows 42 recipes.
Explain if she is correct.
Answer:
Sarah is incorrect.
Step-by-step explanation:
By plugging 10 in as 'x' to the equation, we get y=21+(2*10). 2 x 10 is 20, and 20 + 21 is not 42 - it's 41. So, Sarah is incorrect.
Answer:
Sarah is not correct because if David already knows 21 recipes and learns 2 recipes per week, then he will know only 41 recipes after 10 weeks, not 42.
Step-by-step explanation:
To see if Sarah is correct, let's replace the y in the equation with 42 and the x with 10:
y = 2x + 21
42 = 2(10) + 21
42 = 20 + 21
42 [tex]\neq[/tex] 41
Sarah is wrong.
whats the root of the square 0 = x2 - 4x - 12
Answer:
well, x=-6
Step-by-step explanation:
Answer:
x = 6, 2
Step-by-step explanation:
hope this helps :)
(solve for x)
Which statements regarding triangle ABC are correct
Check all that apply.
Answer:
A & C
Step-by-step explanation:
AB is the shortest segment in ABC
AC = 2AB
martina bought some book. she spent a total of $45 after a discount of $6 off of her purchase. each book cost $3 . how many books did she buy ?
A) write an equation that could be used to answer the questions above. First, choose the appropriate form. Then, fill in the blanks with the numbers 45, 6, and 3. Let b represent the number of books.
B) Solve the equation in part (a) to find the number of books.
Answer:
17 books
Step-by-step explanation:
A) 3b - 6 = 45
B) 3b - 6 = 45
3b = 51
b = 17
Topic: Algebraic equations
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Someone pls help me!!!
Answer:
1. 32
2. 5
3. 9
4. 3
5. 4.2
6. 5.6
Draw the graph of y=2x+3 on the grid
Help asap please!! Will give brainliest!!
Answer:
5 units
Step-by-step explanation:
The points are:
[tex]A(-2, 5)[/tex]
[tex]B(-2, -7)[/tex]
[tex]C(-6, -4)[/tex]
Considering the sides as vectors, we have:
[tex]\overrightarrow{AB}, \overrightarrow{AC},\overrightarrow{CB}[/tex]
Once
[tex]\overrightarrow{AC} = C - A =(-6, -4) -(-2, 5) = (-6+2, -4-5) = (-4, -9)[/tex]
[tex]\overrightarrow{AB} = B - A =(-2, -7) -(-2, 5) = (-2+2, -7-5) = (0, -12)[/tex]
[tex]\overrightarrow{CB} = B - C =(-2, -7) -(-6, -4) = (-2+6, -7+4) = (4, -3)[/tex]
[tex]\Vert \overrightarrow{AC} \Vert = \sqrt{x^2 + y^2} = \sqrt{(-4)^2+(-9)^2} = \sqrt{16+81}= \sqrt{97}[/tex]
[tex]\Vert \overrightarrow{AB} \Vert = \sqrt{x^2 + y^2} = \sqrt{0^2+(-12)^2} = \sqrt{144}= 12[/tex]
[tex]\Vert \overrightarrow{CB} \Vert = \sqrt{x^2 + y^2} = \sqrt{4^2+(-3)^2} = \sqrt{16+9}= 5[/tex]
help find the missing length indicated will give brainliest!!
Answer:
x=192
Step-by-step explanation:
help fast it's timed..
which is not a consequence of paying your credit bill late
A study compared the number of years of education a person received and that person's yearly salary. It was determined that the relationship between these two quantities was linear and the correlation coefficient was 0.91. Which conclusion can be made based on the findings of this study?
Answer:
Salary earned increases as the number of years of education earned increases.
Step-by-step explanation:
Given that the correlation between the number of years of education a person receive and his yearly salary yields a linear relationship with a correlation Coefficient of 0.91, this shows that a strong positive relationship exists between the two measured quantities, this is deduced by the positive nature of the correlation Coefficient value obtained and the fact that the value of the Coefficient is close to 1. Hence, salary earned increases as the number of years of education increases and Vice versa.
Is the following table a function?
20 points
Х
Y
-3
0
-5
4.
7
-3
0
Function
Not a function
Answer:
not a function (I think)
Step-by-step explanation:
Elena bought 8 tokens for $4.40. At this rate: 1)How many tokens could she buy with $6.05? 2) How much do 19 tokens cost?
Answer: She could buy 11 tokens and 19 tokens cost 10.45
Step-by-step explanation:
divide how much money you spent by how many tokens you bought
4.40/8=0.55 x 19= 10.45
6.05/0.55=11
What does the point (0, 0) on the graph represent?
Answer:
the origin
Step-by-step explanation:
Answer:
It is the origin of the graph.
Step-by-step explanation:
Somebody please answer those two I NEED THEM LIKE NOWW
Answer:
already put answer lol i just want points
Step-by-step explanation:
help fast timed please
Answer:
<A = 38°
Step-by-step explanation:
180 - 108 - 34 = 38°
hope this helps :)