Answer:
[tex]y = \frac{1}{3}x +2[/tex]
Step-by-step explanation:
Given
Equation:
[tex]y = \frac{1}{3}x + 4[/tex]
[tex]Point: (-3,1)[/tex]
Required
Determine the equation of the point parallel to the given equation
First, we need to determine the slope of: [tex]y = \frac{1}{3}x + 4[/tex] using
[tex]y = mx + b[/tex]
Where m represents slope.
By comparison
[tex]m = \frac{1}{3}[/tex]
The equation of the point is calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
Where [tex](x_1,y_1) = (-3,1)[/tex]
So, we have:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 1 = \frac{1}{3}(x - (-3))[/tex]
[tex]y - 1 = \frac{1}{3}(x +3)[/tex]
[tex]y - 1 = \frac{1}{3}x +1[/tex]
Solve for y
[tex]y = \frac{1}{3}x +1 +1[/tex]
[tex]y = \frac{1}{3}x +2[/tex]
X+ 2 = 5 and y-3 = 2
Answer:
x=3
y=5
because 5-2=3 so 3 is x
and 2+3 is 5 so y is 5
Answer:
X = 3, Y =
Step-by-step explanation:
This is because 2+3=5,
and5-3=2
guys i need help what's 3+2
Answer:
21 :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
5
Use the GCF and the distributive property to express the sum as a product 35+25
Answer:
5(5+7) = 5(5) + 5(7)Step-by-step explanation:
Given the expression 25+35.
Given A, B and C, according to distributive property:
A(B+C) = AB + BC
A is distributed over B and C where A is the GCF in this case. Applying this in the expression given
25 = 5 * 5
35 = 5* 7
25+35 = (5*5)+(5*7)
25+35 = 5(5+7)
5(5+7) = 5(5) + 5(7) (Distributive property)
Sanjay has 2 1/3 cups of pretzels, Raul has 1 5/6 cups of chocolate pieces, and Sonny has 3 7/9 cups of granola. If they
combine all of their ingredients, how much trail mix can they
make?
Madunia got a raise on her salary because she started to act nice to customers if she used to make $25 an hour what is her new salary
Answer:
Depending on the percent it was raised but probably around $27.50
Step-by-step explanation:
Atte
Mia
24. Critical Thinking Anika wants to determine the maximum
number of tulip bulbs (t) she can purchase if each bulb costs $1.50.
She will also need to purchase separate pots for each bulb at $1.25
each and a bag of potting soil for $10.00. Set up an inequality to
determine how many tulip bulbs Anika can purchase without
spending more than $20.00, and solve it. Can Anika buy exactly
enough bulbs and pots to spend the full $20.00? Explain. Can you
think of a better inequality to describe the answer?
Noti
My
C
25. Geometry The area of the triangle shown is no more than 10 square inches.
a. Write an inequality that can be used to find x.
Copy
(2x - 3) in.
4 in.
b. Solve the inequality from part a.
What is the maximum height of the triangle?
Klein
Tanis
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Cost per bulb = $1.50
Cost per pot = $1.25
Bag of potting soil = $10.00
Budgeted amount to spend ≤ 20
Cost :
Bag of potting soil + (Cost per bulb + cost per pot)*number of tulip bulbs ≤ 20
$10 + ($1.50 + $1.25)t ≤ $20
$10 + 2.75t ≤ 20
$2.75t ≤ $20 - $10
$2.75t ≤ $10
t ≤ $10/$2.75
t ≤ 3.636
Hence, t = maximum number of tulip bulbs she can purchase is 3.636,
Since the exact number of tulip bulb she can purchase is a decimal which is impossible in an actual scenario. Hence, In other to spend not more than $20.00
t ≤ 3
The sum of two numbers is 61. The smaller number is 7 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
divide by 2 equals 30.5 minus 7 equals to 23,5
Step-by-step explanation:
smaller is 23,5
B is 37.5
Which digit is in the tenths place of the number 32.89?
3
2
8
9
Answer:
8 pls brainliest?
Step-by-step explanation: in decimapls the first number to the right of the . Is tenths, next is hundreths
please help it's due in a couple of minutes.
Answer:
Step-by-step explanation:
60 + 50.45m = 57.95m
Is 2y=4x proportional
1.) 2p -4 > 16
2.) 7c +11 < -3
3.) m/5 +3 < -7
4.) -3z -9 > 12
Solve and graph the following inequalities
can someone help solve these 4 questions.
Answer:
1. p>10
open circle on 10 arrow pointing right
2. c<-2
open circle on 2 arrow pointing left
3. m<-50
open circle on -50 arrow pointing left
4. z<-7
open circle on -7 arrow pointing left
Simon score 4x10^2 points in a game. Joe scored 2x10^3 points in the same game. whose score is higher? how much higher?
Answer:
Joe scored higher by 1600
Step-by-step explanation:
Given
[tex]Simon = 4 * 10^2[/tex]
[tex]Joe = 2 * 10^3[/tex]
Solving (a): Which is higher?
First, we need to convert both numbers to whole numbers
[tex]Simon = 4 * 100[/tex]
[tex]Simon = 400[/tex]
[tex]Joe = 2 * 10^3[/tex]
[tex]Joe = 2 * 1000[/tex]
[tex]Joe = 2000[/tex]
2000 is greater than 400;
Hence, Joe score higher
Solving (b): By how much?
We simply calculate the difference
[tex]Difference = Joe - Simon[/tex]
[tex]Difference = 2000 - 400[/tex]
[tex]Difference = 1600[/tex]
Three different ways to make the number 78 with stickers.
Answer:
32
Step-by-step explanation:
i just divided
A merchant surveyed 370 people to determine the way they learned about an upcoming sale. The survey showed that 170 learned about the sale from the radio 140 from television 190 from the newspaper, 90 from radio and television, 120 from radio and newspapers, 80 from television and newspaper, and 70 from all three sources. how many people learned of the sale from newspapers or radio, but not both?
Suppose that a tea company estimates that its monthly cost is C(c) = 500x² + 100x and its monthly revenue is R(2) = -0.6x3 + 700x2 – 400x + 300, where x is in thousands of boxes of tea sold. The profit is the difference between the revenue and the cost. What is the profit function, p(X)?
O A. P(x) = 0.6x3- 200x2 + 500x+ - 300
OB. P(x) = -0.6x3 + 1200x2 – 300x + 300
O C. P(x) = -0.6x3 + 200x2 – 500x + 300
D. P(xl = 0.6x3 + 200x2 – 500x + 300
Answer:
p(x) = 0.6x³ - 200x² + 500x- 300
Step-by-step explanation:
Given the cost function and revenue function as:
C(x) = 500x² + 100x
R(x) = -0.6x³ + 700x² – 400x + 300
To get the profit function:
p(x) = C(x) - R(x)
p(x) = 500x² + 100x -(-0.6x³ + 700x² – 400x + 300)
open the parenthesis
p(x) = 500x² + 100x + 0.6x³ - 700x² + 400x - 300
p(x) = + 0.6x³+500x² - 700x² + 100x+ 400x- 300
p(x) = 0.6x³ - 200x² + 500x- 300
Hence the profit function is expressed as p(x) = 0.6x³ - 200x² + 500x- 300
an aquarium has display tanks that each contain 175 fish.how many fish are on display in 6 tanks
Answer:
1050 fish
Step-by-step explanation:
175(6 tanks) = 1050
explain why the quadratic relation y=2x^2+3x+5 would have no zeros
Complete the square to rewrite the quadratic:
2 x² + 3 x + 5 = 2 (x² + 3/2 x) + 5
... = 2 (x² + 3/2 x + 9/16 - 9/16) + 5
... = 2 (x² + 3/2 x + (3/4)²) + 5 - 9/8
... = 2 (x + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) x for which y = 0.
Kai is making a chessboard using pieces of wood that measure 1 square inch.
When he finishes, the chessboard will have an area of 64 square inches.
How many pieces of wood should he put along each side?
A cube has a volume of 125 cubic inches. What is the length of each edge?
Answer:
The correct option will be: c. 8 pieces of wood.Step-by-step
The data set {+3, -1, -2, +1} shows the moves a player made forward or backward in a board game. Graph the moves the player made. Explain the meaning of zero in this situation.
HELP PLEASE!!!! 35 POINTS
Answer:
Meaning of 0: Player has moved backwards in such a way, that they are back at the start.
Step-by-step explanation:
Graph is in the picture.
-2 1/2 x (-1 2/3) what is the answer for this question
Answer: 4 1/6
Step-by-step explanation:
rewrite the equation 10=1,000 with an exponet that makes it true .
Answer:
[tex]10^3=1,000[/tex]
Step-by-step explanation:
The expression 10=1,000 is obviously false, but we can make it true by rewriting it with an exponent.
Note that 1,000=10*10*10
Or, equivalently:
[tex]1,000=10^3[/tex]
Thus, if we modify the original false expression and add an exponent 3 to the base 10, then it would be true:
Original:
10=1,000 => false
Rewritten true:
[tex]\boxed{10^3=1,000}[/tex]
Can someone help me out with this question ( pre-calculus)....................
Answer:
I got pre calculus toooo.. Man I'm struggling currently in a test
I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?
Answer:
18.
Step-by-step explanation:
If the tens digit is x^3 the unit digit is x^3 + 7
So 10 * x^3 + x^3 + 7 < 100 (as its a 2 digit number).
11x^3 < 93
x^3 < 8 5/11
x < 2.04
As x must be an integer it is either 1 or 2.
It cannot be 2 as 2^3 = 8 and 8+7 = 15 which cannot be the tens digit so it must be 1.
The answer is 1 and (1+7) = 18.
Answer:
18.
Step-by-step explanation:
If the tens digit is x^3 the unit digit is x^3 + 7
So 10 * x^3 + x^3 + 7 < 100 (as its a 2 digit number).
11x^3 < 93
x^3 < 8 5/11
x < 2.04
As x must be an integer it is either 1 or 2.
It cannot be 2 as 2^3 = 8 and 8+7 = 15 which cannot be the tens digit so it must be 1.
The answer is 1 and (1+7) = 18.
Ruby is moving from Minneapolis to Chicago, which is 400 miles away. She is traveling at an average speed of 50 miles per hour. Ruby stops for gas after a couple of hours and wonders how much further she needs to go. If y represents distance and x represents time, which linear equation would indicate the amount of miles Ruby still has to travel to Chicago?
Answer:
y = 400 - 50x
Step-by-step explanation:
From Minneapolis to Chicago = 400 miles
Speed of travel = 50 miles per hour
y = distance ; x = time
Distance = speed * time
Distance moved before stopping for gas:
50 * x = 50x
y = distance left to cover ;
400 m = total distance
50x = distance already moved
Therefore,
y = 400 - 50x
Answer:
Step-by-step explanation:
y= -50x + 400
The probability of a tourist visiting an area cave is 0.70 and of a tourist visiting a nearby park is 0.60. The probability of both places on the same day is 0.40. The probability that a tourist visits at least one of these two places is
The probability that the tourist visits atleast one of the two places is 0.90
Probability of cave visit, P(C) = 0.70
Probability of park visit = P(N) = 0.6
Probability of both = P(B) = 0.40
The probability of visiting atleast one of the two places can be defined thus :
P(Atleast one) = P(C) + P(N) - P(B) P(Atleast one) = 0.70 + 0.60 - 0.40P(Atleast one) = 0.90Therefore, the probability of visiting atleast one of the two places is 0.90
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ASAP! Help! I’ll mark you brainly!
Answer:
y=45x+150
its a function but not a linear function
Step-by-step explanation:
hope this helps
Melanie has 230 coins in her collection. 6 out of 10 of them are European. How many European coins does she have?
Answer:
61
Step-by-step explanation:
What is the absolute value of 5,234?
Answer:
Step-by-step explanation:
5.234
Add 5y - 9 and 2 - 5y
Answer:
5y - 9 + 2 -5y =
Step-by-step explanation:
5y - 9 + 2 - 5y
= 5y - 5y - 9 + 2
= -7
(As + 5y and - 5y cancel out)
g Problem 7. (10 points) A random sample of 100 Cooper County residents showed that 18 are college graduates and a second random sample of 50 Boone County residents showed that 28 are college graduates. Round your final answer to each part to three decimal places, but do not round during intermediate steps. The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is
Answer:
The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.
Step-by-step explanation:
Denote the events as follows:
C = Cooper County resident
B = Boone County resident
G = graduate
NG = non-graduate
The information provided is summarized as follows:
G NG Total
C 18 82 100
B 28 22 50
Total 46 104 150
Compute the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents as follows:
[tex]\text{Relative Risk}=\frac{\text{Graduates in Boone County}}{\text{Graduates in Cooper County}}[/tex]
[tex]=\frac{28/50}{18/100}\\\\=\frac{28}{50}\times \frac{100}{18}\\\\=3.11111\\\\\approx 3.11[/tex]
Thus, the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.
The relative risk of remaining a college graduate for Boon County residents in comparison to Cooper County residents would be 0.500
Relative risk:Relative risk is used in the statistical analysis of the data of ecological, cohort, medical, and intervention studies, to estimate the strength of the association between exposures (treatments or risk factors) and outcomes. Mathematically, it is the incidence rate of the outcome in the exposed group.
The relative risk is calculated by dividing the probability of an event for group 1 divided by the probability of an event occurring for group 2.
The probability of the Boone country resided is a college graduate,
By the formula of classical probability [tex]P(A)=\frac{m}{n}[/tex] then,
[tex]\frac{18}{100}=0.18[/tex]
The probability of cooper country resided is a college graduate is,[tex]\frac{18}{50}=0.36[/tex]
The relative risk is being a college graduate Boone country resided as compared to cooper country resident is,
[tex]\frac{0.18}{0.36} =0.500[/tex]
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