Answer:
5x - y + 38 = 0
Step-by-step explanation:
solution:
slope(m) = 5
(x1 , y1) = (-8 , -2)
we know that,
(y - y1) = m(x -x1)
or, (y - -2) = 5(x - -8)
or, y+2 = 5(x + 8)
or, y+2 = 5x +40
or, 5x - y + 38 = 0 is the required equation
Which of the following descriptions best defines the term logistic growth?
A. A type of growth that is exponential at first but slows as the
amount reaches a certain maximum value
B. A type of growth that is linear at first but slows as the amount
reaches a certain maximum value
C. A type of growth that is linear at first but slows as the amount
reaches a certain minimum value
D. A type of growth that is exponential at first but slows as the
amount reaches a certain minimum value
Fr
Find the unit rates. 4 ounces for $5.89
Answer:
Around $1.47
Step-by-step explanation:
To find the unit rate you need to have a denominator of one. (5.89/4 = x/1)
All you have to do is divide 5.89 by 4 and you get 1.4725 and if you round that to the nearest 100th place you get 1.47.
So 1 once cost $1.47
I hope this helps, and have a great day!
A package of 11 slices of cheese costs $2.97. How much would a package with 18 slices cost at the same price per slice?
Answer:
$4.86
Step-by-step explanation:
2.97/11= .27 .27x18= $4.86
Factorise fully 3m+12
Answer:
The answer is 3(m+4)
hope it helps..
Answer:
Step-by-step explanation:
3(m+4)
PLEASE HELP ASAP AND ONLY DO IT IF U KNOW HOW TO IM GIVING BRAINLIEST
Match each line to the correct equation.
Coorindate grid. Lines l, m, n, p.
Group of answer choices
Line l (red line)
Line m (black line)
Line n (green line)
Line p (blue line)
Answer:
Line l (red line): y=4
Line m (black line): y=-2x+4 or y=4-2x
Line n (green line): y=x-1
Line p (blue line): x=-4
Step-by-step explanation:
Line l (red line):
Line l is horizontal. Horizontal lines have y equal to a constant, in this case 4.
y=4
Line m (black line):
Find slope using two points (0,4) and (2,0)
(y2-y1)/(x2-x1)
(4-0)/(0-2)
4/-2
-2
y=mx+c, where m is the slope and c is a number
y=-2x+c
sub in a point (eg (-1,6))
6=-2(-1)+c
6=2+c
c=4
y=-2x+4 or y=4-2x
Line n (green line):
Find slope using two points (3,2) and (2,1)
(y2-y1)/(x2-x1)
(2-1)/(3-2)
1/1
1
y=mx+c, where m is the slope and c is a number
y=1x+c
y=x+c
sub in a point (eg (1,0))
0=1+c
c=-1
y=x-1
Line p (blue line):
X value is constant at -4. x=-4
4^4= pls i need some help
Hey there!
4^4
= 4 • 4 • 4 • 4
= 4 • 4 ➡️ 16
= 16 • 16
= 256
Answer: 256 ☑️
Good luck on your assignment and enjoy your day!
~ Amphitrite1040:)
Can I please have help real answers only
Answer:
Sure.
Step-by-step explanation:
ok, so you basically just count from 0 going left three spaces. and the same going 5 spaces. For positive numbers you go (starting at 0) from left to right. for negative numbers (starting from 0 on the line) you go right to left.
I will make a G for where the green dot goes and a P for the pink dot.
<--I--I--I--I--I--I--I--I--I--I--I--I--I--I--I--I-->
P G 0 3 5
Hope this helps.
- Mach Speed.
Two angles are supplementary if the sum of their measures is 180∘. If the measure of one angle is 4 x degrees, represent the measure of its supplement as an expression of x
Anthony has 46 pieces of gum and eats 2 pieces per day. Javier has 54 pieces of gum and eats 3 pieces of gum each day. In how many days will Anthony and Javier have the same amount of gum?
Answer:
in 9 days
Step-by-step explanation:
..
please help! im failing and i really need help!
A local stadium seats 27,250 fans. For a special event, 12% of the seats were reserved for students. What
was the total number of seats reserved for students?
Answer:
3270
Step-by-step explanation:
The profileration of the internet has given rise to a new method of advertising, called spamming, that essentially is a more cost-effective method of the telephone solicitations method known as cold calling. If a company buys three mailing list with 2,500, 3,500, and 4,000 email addresses respectively and spam them with promotional material, how many potential customers has it reached?
A. 5,000
B. 10,000
C. 15,000
D. 20,000
Answer:
10,000
Step-by-step explanation:
2500 + 3500 + 4500 = 10,000
D 7. What are two different ways to name the line below? Explain how you know
Answer:
[tex] \overleftrightarrow{GI} [/tex]
[tex] line m [/tex]
Step-by-step explanation:
We can decide to make the line by using the two points of the line only. Thus, the two points are G and I. We can name the line as [tex] \overleftrightarrow{GI} [/tex]
We can also simply call the line with a letter in small caps. Thus, the line can be called [tex] line m [/tex]
Find the onginal price
Discount 20%
Sale price $75
Answer:
Original price: $
75
Discount percentage:
20
%
Results
Discount:
$15.00
Final Price:
$60.00
Step-by-step explanation:
Pietro is given a test question asking him to show that the sum of two odd integers is
always an even integer. Which choice is the best proof of his conjecture?
Answer: second option Let (2a +1) be an odd number. Let (2b +1) be a different odd number. Because the sum of these two numbers, 2(a + b + 1), is a multiple of 2, it is an even number.
B. Let (2A + 1) and (2B + 1) are different odd numbers. sum of these odd number is 2(A+ B +1) is a multiple of 2.
What is even and odd number?Whole numbers in mathematics can also be divided into even and odd numbers. There isn't a single number that can be both even and odd, making odd and even numbers distinct sets of numbers. A number can be either even or odd. Odd numbers are ones that are not entirely divisible by two, whereas even numbers are entirely divisible by two.
Let (2A + 1) and (2B + 1) are different odd numbers. the sum of these odd numbers is 2(A+ B +1) is a multiple of 2. furthermore, let 2a and 2b be two even numbers so the sum of those two will also be an even number. Therefore the sum of two odd numbers is always even.
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Simplify
(45x6y%) = (5x4y2
Answer:
0 would be your anwswer
Step-by-step explanation:
Study the pattern in the equations. Use your observations to solve the equation for a. Express your answer in terms of
log4x 2^a = 3
Answer:
(log64x³) / 2 log = a
Step-by-step explanation:
Given the equation :
log4x 2^a = 3
Recall: If :
loga b = c becomes ; a^c = b
log4x 2^a = 3 ; becomes ; (4x)^3 = 2^a
4^3 * x^3 = 2^a
64x^3 = 2a
log64x³ = log 2a
log64x³ = 2 log a
Divide both sides by 2 log
(log64x³) / 2 log = 2 log a / 2 log
(log64x³) / 2 log = a
John and Lucy take turns rolling two dice. If John rolls a pair larger than or equal to 10 he wins and the game stops. If Lucy rolls a pair strictly smaller than 10, she wins and the game stops. They keep rolling in turn until one of them wins. Suppose John rolls first. What is the probability that Lucy wins
Answer:
56.25%
Step-by-step explanation:
If John rolls first and Lucy rolls second, in order to find the probability that Lucy wins we need to multiply the probability that John's roll is less than 10 by the probability that Lucy's roll is less than 10. There are a total of 12 possible outcomes that can occur in a pair of dice, therefore John's probability of rolling less than a 10 would be [tex]\frac{9}{12}[/tex] which would also be the same probability of Lucy rolling smaller than a 10. Now we simply multiply this probability by itself...
[tex]\frac{9}{12} * \frac{9}{12} = \frac{81}{144}[/tex] or 0.5625
We can multiply this decimal by 100 to get the percentage probability
0.5625 * 100 = 56.25%
The probability of Lucy winning the game is 56.25%
Which equation represents a line with a slope of -8 and
a y-intercept of 4?
y = -8x4
y = - 4x +8
y = -8x4
y = 8x+4
The equation y = -8x + 4 represents the given problem.
What is slope and y-intercept?'The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis.'
According to the given problem,
We know,
Equation of a line can be represented as,
y = mx + c, where, m = slope
c = y-intercept
Slope of the line = -8
Y-intercept of the line = 4
Therefore,
The equation of the line:
⇒ y = -8 + 4
Hence, we can conclude, the equation y = -8x + 4 represents the given line.
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Write a function rule for "The output is half of the input x."
Answer:
[tex]y = \frac{x}{2}[/tex]
Step-by-step explanation:
Functions:
Functions have the following format:
y = f(x)
In which y is the output, x is the input, and f is the relation between them.
In this question:
The output is half of the input x. This means that:
[tex]y = \frac{x}{2}[/tex]
Functions can be represented using equations and mathematical statements
The function rule is y = 0.5x
The statement is given as:
The output is half of the input x."
Let the output be y.
So, we have:
y = 0.5 * x
Evaluate the product
y = 0.5x
Hence, the function rule is y = 0.5x
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Five friends earn a total of $50 doing yard work in their neighborhood. Each friend earns the same amount. Use the equation 5f = 50 to find f, the amount that each friend earns. _______________________
Answer:
Each friend earned 10 dollars. 50÷5=10
Henry and Holly Hitch are a couple, who like to eat out and go to the theater. In addition to the money it takes for these activities, they must get a babysitter for each evening out, which is done through their babysitting cooperative. During the coming year, they will have $12,000, and 300 hours of babysitting credits, to use for their dining out and theater visits. Each dinner evening takes 3 hours and costs $150, while each evening at the theater also takes 3 hours and costs $100. Use x to denote the number of dinners out and y to denote the number of theater visits. Write down Henry and Holly's time budget constraint and money budget constraint.
Answer:
See step-by-step explanation
Step-by-step explanation:
Table
To eat out ( x ) cost 150 $ and need 3 hours
To go to the theater ( y ) cost 100 $ and need 3 hours
Therefore Budget constraint:
150 * x + 100 * y ≤ 12000
And time constraint is:
3 * x + 3* y ≤ 300
General constraints x ≥ 0 y ≥ 0 and must be integer
The varsity of girls' basketball team has a ratio of seniors to juniors that 3 to 2. If there are 6 juniors how many seniors are on the team
Answer:
I think its 9
because seniors=3 and juniors=2 so, if there are now 6 juniors there would also be 9 seniors considering all they did was multiply by 3
Three vertices of parallelogram DEFG are D(-4, - 2), E(-3, 1) and F(3, 3). Find the coordinates of G.
Given:
The three vertices of parallelogram DEFG are D(-4, - 2), E(-3, 1) and F(3, 3).
To find:
The coordinates of vertex G.
Solution:
Let the coordinates of vertex G are (a,b).
We know that, diagonal of parallelogram bisect equal other. It means, the midpoints of both diagonals are same.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Two diagonals of the parallelogram DEFG are DF and EG.
[tex]\text{Midpoint of DF}=\text{Midpoint of EG}[/tex]
[tex]\left(\dfrac{-4+3}{2},\dfrac{-2+3}{2}\right)=\left(\dfrac{-3+a}{2},\dfrac{1+b}{2}\right)[/tex]
[tex]\left(\dfrac{-1}{2},\dfrac{1}{2}\right)=\left(\dfrac{-3+a}{2},\dfrac{1+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-3+a}{2}=-\dfrac{1}{2}[/tex]
[tex]-3+a=-1[/tex]
[tex]a=-1+3[/tex]
[tex]a=2[/tex]
And,
[tex]\dfrac{1+b}{2}=\dfrac{1}{2}[/tex]
[tex]1+b=1[/tex]
[tex]b=1-1[/tex]
[tex]b=0[/tex]
Therefore, the coordinates of vertex G are (2,0).
The coordinates of vertex G of parallelogram DEFG is: (2, 0).
Recall:
Diagonals of a parallelogram bisects each other, meaning they divide each other into equal parts.Midpoint formula = [tex](\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]The given vertices of parallelogram DEFG are:
D(-4, - 2), E(-3, 1) and F(3, 3)
Let (x, y) = coordinates of vertex G.
DF and EG are diagonals of parallelogram DEFG, therefore:
midpoint of DF = midpoint of EGFind midpoint of D(-4, - 2) and F(3, 3) using [tex](\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]:
[tex](\frac{-4 + 3}{2}, \frac{-2 + 3}{2}) = (\frac{-1}{2}, \frac{1}{2})[/tex]
Find midpoint of E(-3, 1) and G(x, y) using [tex](\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]:
[tex](\frac{-3 + x}{2}, \frac{1 + y}{2})[/tex]
Make the midpoint of DF equal to the midpoint of EG, then solve for x and y.
[tex]\frac{-1}{2}, \frac{1}{2} = \frac{-3 + x}{2}, \frac{1 + y}{2}[/tex]
Solve for x:[tex]\frac{-1}{2} = \frac{-3 + x}{2}[/tex]
Cross multiply[tex]2(-1) = 2(-3 + x)\\\\-2 = -6 + 2x\\\\-2 + 6 = 2x\\\\4 = 2x\\\\\mathbf{x = 2}[/tex]
Solve for y:[tex]\frac{1}{2} = \frac{1 + y}{2}[/tex]
Cross multiply[tex]2(1) = 2(1 + y)\\\\2 = 2 + 2y\\\\2 - 2 = 2y\\\\0 = 2y\\\\\mathbf{y = 0}[/tex]
Therefore, the coordinates of vertex G of parallelogram DEFG is: (2, 0).
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A bag of candy containing 320 pieces is to be divided up into 18 smaller bags for distribution with fourteen left over. How many pieces will go in each bag?
Answer:
17
Step-by-step explanation:
A bag of candy contains 320 pieces
It is to be divided into 18 smaller bags with fourteen left over
Therefore the pieces that will go in each bag after the distributorn can be calculated as follows
= 320/18
= 17 remainder 14
Hence 17 pieces of candy will be in each bags
Simplify the expression
14(n − 3) + 5(n - 6)
[tex]\bold{14(n-3)+5(n-6) }[/tex]
[tex]\sf{[(14\times n)-(14\times 3)]+[(5\times n)-(5\times 6)] }[/tex]
[tex]\longrightarrow \bold{14n-42+5n-30 }[/tex]
[tex]\longrightarrow \bold{ 14n+5n-42-30 }[/tex]
[tex]\longrightarrow \bold{19n-42-30 }[/tex]
[tex]\dashrightarrow\bold{19n-72 }[/tex]
A right triangle has legs with lengths of 10 and 24 inches. If the midpoints of all three sides of this triangle were connected, the resulting right triangle would have a hypotenuse with a length of?
(1) 5 inches
(2) 8 inches
(3) 12 inches
(4) 13 inches
The resulting right triangle would have a hypothenuse with a length of; 13 inches.
According to the question;
We are required to length of the resulting right triangle when the midpoint of all three sides of this triangle were connected.The two legs given have lengths; 10 and 24 inches.
When the midpoints are connected, the new right triangle would then have legs; 5 and 12 inches.
Therefore, from Pythagoras theorem;
Hypothenuse length,
l = √(12² + 5²)l = √169l = 13 inches.
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pleaseeeeeee helppppppp
Answer:
what is the substitution method???
Step-by-step explanation:
100 points for answer. please help
Answer:
19.09
Step-by-step explanation:
4x÷3+8x÷3
4x+8x÷3×3
12x²÷6
x²=6/12
x²=3/6
3/6x²
√3/6
Answer:
19.09
Step-by-step explanation:
Pretend your friend is struggling to solve equations and has asked you for help.
Describe how you would solve the equation below for y: 5(3y - 2) + 6y = 11