Answer:
1
Step-by-step explanation:
coefficient if x term is 1
Topic: coordinate geometry
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The slope of the line whose equation is y - 4 = (x - 2) is,
⇒ m = 1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Equation of line is,
⇒ y - 4 = x - 2
Now, We can simplify for slope as;
⇒ y - 4 = x - 2
⇒ y = x + 2
⇒ dy/dx = 1
⇒ m = 1
Thus, The slope of the line whose equation is y - 4 = (x - 2) is,
⇒ m = 1
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if the supply and demand functions for a commodity are given by p-q=10 and q(2p-10)=2100, what is the equilibrium price and what is the corresponding number of units supplies and demanded
Answer:
If p - q = 10, then p = 10 + q. Replace the other p with this:
q(2(10 + q) - 10) = 3600
q(20 + 2q - 10) = 3600
q(10 + 2q) = 360
The equilibrium point of a demand and supply function is the point where both functions are equal.
The equilibrium price is 40, and the corresponding demand is 30 supplies
Given
[tex]p- q = 10[/tex] --- the supply function
[tex]q(2p - 10) = 2100[/tex] --- the demand function
Make q the subject in [tex]p- q = 10[/tex]
[tex]q = p - 10[/tex]
Substitute [tex]q = p - 10[/tex] in [tex]q(2p - 10) = 2100[/tex]
[tex](p - 10)(2p - 10) = 2100[/tex]
Factor out 2
[tex]2(p - 10)(p - 5) = 2100[/tex]
Divide both sides by 2
[tex](p - 10)(p - 5) = 1050[/tex]
Open brackets
[tex]p^2 -10p - 5p + 50 = 1050[/tex]
[tex]p^2 -10p - 5p + 50 - 1050 =0[/tex]
[tex]p^2 -15p - 1000 =0[/tex]
Expand
[tex]p^2 -40p + 25p- 1000 =0[/tex]
Factorize
[tex]p(p -40) + 25(p- 40) =0[/tex]
Factor out p - 40
[tex](p+ 25) (p- 40) =0[/tex]
Solve for p
[tex]p = -25[/tex] or [tex]p = 40[/tex]
The price cannot be negative.
So: [tex]p =40[/tex]
Recall that:
[tex]q = p - 10[/tex]
[tex]q = 40 - 10[/tex]
[tex]q = 30[/tex]
Hence, the equilibrium price is 40, and the corresponding number of supplies is 30
See attachment for the graphs of both functions
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HURRY PLEASE!! I NEED TO TURN THIS IN SOON!!!
I WILL GIVE YOU BRAINLIEST!!
i need the equation you used to solve it with also!
Answer:
Step-by-step explanation:
3x-11+6x-10+x=180
10x-21=180
10x=201
x=20,1
Identify the type of function represented by f(x) = * • (3)". O A. Exponential decay B. Decreasing linear O C. Increasing linear D. Exponential growth
Answer:D
Step-by-step explanation:
In this assignment, you will explore how to find the number of different species of fish in a pond by looking at a random sample of the fish. Which phrase best describes the total number of brook trout in the pond? the population of brook trout the proportion of brook trout the sample of brook trout the population of fish
Answer: A
Step-by-step explanation:
Answer: the answer is A
Step-by-step explanation:
Got it right on edge 2021! Look for your self.
Find the slope of the line ?? Hurry ,thank you
Answer: (1-, 1)
Step-by-step explanation:
Thats the middle making it the slope
Hello, HELP!!!!!!!!!!!!!!!! PLS PLS PLS
Answer:
The answer would be B.
Step-by-step explanation:
1:?
4:12
?:27
If 4:12 is a ratio of 1:3 then we can assume that the other unknown numbers also use this same ratio. So the ratio for 1:? would be 1:3 and the ratio for ?:27 would be 9:27 bringing you back to the original ratio of 1:3
Answer:
i think its b 3 ppl 9 cups
Find the axis of symmetry of y = x2 + 4x + 1
Answer:
the axis of symmetry should be x= -2
Step-by-step explanation:
Jack had $10.00. He bought a pair of socks for $2.30 and a pair of gloves for $5.50. How much money did he have left?
Answer:
Jack has $2.20 left.
Step-by-step explanation:
We have to add 5.50 and 2.30 to find his cost.
2.30 + 5.50 = 7.80.
Then, subtract it from $10.00
10.00 - 7.80 = 2.20
Jack has $2.20 left
hope this helped!
the sum of two numbers is 27. one number is 2 times as large as the other. what are the numbers
Answer:
9 and 18
Step-by-step explanation:
Since we don’t know the number, I put x as one of the numbers. Since the other number should be two times as large, that would be 2x.
2x+x=27
3x=27
x=9
To find the other number, which is 2x multiply by 2. So 18
Answer:
one number=9
Second number=18
Step-by-step explanation:
The sum of two numbers =27
one number is 2 times as large as the other
Solution
Let one number=X
Second number=2x
X+2X=27
3x=27
X=27/3
X=9
So one number=9
Second number=18
write the standard form of equation of the line that passes through (2, 3) and is parallel to y=2x+3?
Answer:
[tex]2x-y=1[/tex]
Step-by-step explanation:
Standard Form of [tex]y=2x+3[/tex]:
Subtract -2x from both sides ([tex]y-2x=2x-2x+3[/tex])Multiple both sides by -1 ([tex]-1*(y-2x=3)[/tex])Rearrange ([tex]2x-y=-3[/tex])Find New 'c':
Replace -3 with a to find new intercept so the equation will pass through (2,3) ([tex]2x-y=c[/tex])Fill in x and y, then solve ([tex]2*2-3=c[/tex])[tex]4-3=c[/tex], [tex]c=1[/tex]Answer:
2x-y=1
Step-by-step explanation:
I TOOK THE QUIZ
round 7, 488 to the nearest thousands
Answer:
7,000
Step-by-step explanation:
You would round up if the next number (next to the thousands, I mean) is 5 or more, and round down if it is less than 5.
Answer:
7,488 = 7,000
Step-by-step explanation:
choose the inequality AND the number line that represents this phase.
x is any number lower than 8.
((ITS AN MULTIPLE CHOICE PLEASE DON'T GUESS!!!THANK Y))
Step-by-step explanation:
I think the 2nd one is the correct
what is 3 ÷ 2\5 pls answer dis
Answer:
15/2
Step-by-step explanation:
when dividing by fractions, we "flip and multiply"-- therefore:
3 ÷ 2\5 = 3 x 5/2
3 x 5/2 = 15/2
3. A clothing manufacturing company makes two types of jogging pants, design A and design B. the design A jogging pants sells to the retail stores for Php2500 each and the design B jogging pants for Php2100. The cost for manufacturing each design A is Php1750 and the cost of each design B is Php1200. If the company makes no more than 120 jogging pants a week and budgets no more than Php150000 per week, how many of each type should be made to maximize profit?
Answer:
z(max) = 256000 Php
x₁ = 10
x₂ = 110
Step-by-step explanation:
Jogging pants design Selling Price Cost
weekly production
Design A x₁ 2500 1750
Design B x₂ 2100 1200
1. z ( function is : )
z = 2500*x₁ + 2100*x₂ to maximize
First constraint weekly production
x₁ + x₂ ≤ 120
Second constraint Budget
1750*x₁ + 1200*x₂ ≤ 150000
Then the model is
z = 2500*x₁ + 2100*x₂ to maximize
Subject to
x₁ + x₂ ≤ 120
1750*x₁ + 1200*x₂ ≤ 150000
General constraints x₁ ≥ 0 x₂ ≥ 0 both integers
First table
z x₁ x₂ s₁ s₂ cte
1 -2500 -2100 0 0 0
0 1 1 1 0 = 120
0 1750 1200 0 1 = 150000
Using AtoZmath online solver and after 6 iterations the solution is:
z(max) = 256000 Php
x₁ = 10
x₂ = 110
Solve for n, and please give actual answers
4.8+n=6.2
Answer:
n equals 1.4 your welcome
Answer:
n = 1.4
Step-by-step explanation:
4.8 + n = 6.2
- 4.8 -48
(4.8 - 4.8) + n = (6.2 - 48)
n = 1.4
Question 3 Evan thinks that the slope of the true line of best fit for Pick Number and Career Length is not zero: that is, there is some correlation/association between Pick Number and Career Length. To test this claim, we can run a hypothesis test! Define the null and alternative hypothesis for this test.
Answer:
Null hypothesis ; H0 : slope = 0
Alternative hypothesis ; H1 : slope ≠ 0
Step-by-step explanation:
Given the claim:
slope of the true line of best fit for Pick Number and Career Length is not zero.
The Null hypothesis H0 : will negate the claim in this scenario ; hence ;
H0 : slope of line of best fit for pick number and career length = 0
The Alternative hypothesis, H1 : is the opposite of the null ;
H1 : slope of line of best fit for pick number and career length ≠ 0
Answer these questions:/
What is the length of line with endpoints (5,-7) and (5,11)
Answer:
18 units
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 43 minutes of calls is $18.98, and the remaining credit after 56 minutes of calls is $17.16. What is the remaining credit after 65 minutes of calls?
hello jump in. ok fine abcd
Find the Unit Rate: Carrie biked 75 miles in 3 days?
Answer:
15 miles per day
Step-by-step explanation:
75 miles/3 days = 15 miles/1 day
A random sample of students were chosen from all of 7th grade. There were 3 boys and 5 girls in that sample. If there are a total of 240 students on campus, how many students might be boys?
Answer:
90
Step-by-step explanation:
3 boys
5 girls,
Say that there where "x" number of groups like this, (x will be the total number of groups like this, if one were to divide the population by the number of groups, they would the number of students);
Set up an equation;
x ( 3 + 5 ) = 240
Combine like terms and distribute;
8x = 240
Inverse operations;
8x = 240
/8 /8
x = 30
Substitute back in to find the number of boys;
30 * 3 = 90
NEED HELP ASAP PLEASE!!!!
You have a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and
spades. Each suit consists of cards numbered 2 - 10, a jack, a queen, a king, and an ace.
You select one card at random from the deck. Let A be the event that the randomly selected card is a club and
let B be the event that the card is a 5. Based on this information, answer the following questions.
What is P(A), the probability that the card is a club?
What is P(B), the probability that the card is a 5?
What is P(A and B), the probability that the card is a club and a 5?
What is P(BA), the conditional probability that the card is a 5 given that it is a club?
Is P(BA) = P(B)? Are the events A and B independent?
Answer:
P(A)=0.25
P(B)=0.077
P(AB)=0.192
P(BA)=0.083
Check below for the full numbers, I rounded it for you.
Step-by-step explanation:
What is P(A), the probability that the card is a club?
So whenever you get a deck of cards you'll have 52 which have 4 suits, think of it like UNO, and club is one of the suit's name! This mean all this question is asking you is the probability of getting a club out of the 52 cards which is
52/4=13
So we know that there is 13 club cards.
Meaning the probability is a 25% since you can only get it 1/4 of the time.
P(A)=0.25
What is P(B), the probability that the card is a 5?
Same as what I stated earlier but this time you only have 4 cards that can be a "5" out of the 52 cards.
4/52=0.076923
P(B)=0.077
What is P(A and B), the probability that the card is a club and a 5?
Keep a eye on the working "and" this means it's referring to the possibility of getting a club and a 5 and since this can only happen once the chances are extremely slim.
1/52=0.1923076
P(AB)=0.192
What is P(BA), the conditional probability that the card is a 5 given that it is a club?
This assumes that you're only drawing from a deck of ONLY clubs so the chances of getting a 5 in that stack.
1/12=0.08333 (3 keeps going)
P(BA)=0.083
(This one might be wrong since I haven't done conditional probability in a long time but I feel somewhat confident, I do feel confident about the rest so no worries.)
Is P(BA) = P(B)? Are the events A and B independent?
No, P(BA) = P(B) is not true since A and B do influence one another since what if I get a 5 without replacement this results in change of chances of A.
Answer:
1.1/4
2.1/13
3.1/52
4.1/13
5. Yes p(B/A)=P(B) and Yes, events A and B are independent events.
Step-by-step explanation:
khan academy walk through
Nandita earned $224 last month.
Answer:
X = 8 x 28 = 224
Nandita earns $8 last month by babysitting.
Step-by-step explanation:
225
divided by
28
8
The equation is x + 28 = 224. Then the amount earned by babysitting will be $196.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Nandita earned $224 last month. She earned $28 by selling cards at a craft fair and the rest of the money by babysitting.
Let 'x' be the amount earned by babysitting. Then the equation is given as,
x + $28 = $224
Simplify the equation for 'x', then we have
x + $28 = $224
x = $224 - $28
x = $196
The equation is x + 28 = 224. Then the amount earned by babysitting will be $196.
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The complete question is given below.
Nandita earned $224 last month. She earned $28 by selling cards at a craft fair and the rest of the money by babysitting. Complete an equation that models the situation and can be used to determine x, the number of dollars Nandita earned last month by babysitting.
Simplify (5^1/3)^3
A) 5^3
B) 1/5
C) 5
D) 5^9
Use the rule (a^b)^(c) = a^(bc).
[5^(1/3)]^(3)
5^(1/3)(3)
5^(1)
Answer: 5
Write the recursive rule for the arithmetic sequence82, 76, 70, 64, ...
A) a1=82; an= an-1-6
B) a1=64; an= an-1-6
C) a1=82; an= an-1+6
D) a1=64; an= an-1+6
answer fast pleaseee
Answer: the answer is A
Step-by-step explanation:
solve the following expression for p.
Answer:
9 that what p stands for hope it help
Step-by-step explanation:
The ratio 3/8 has a unit rate of 3/16 true or false
Please help
Will give brainliest.
Answer:
Step-by-step explanation:
1) c is hypotenuse. other two are legs. [tex]a^{2} +b^{2}= c^{2}[/tex]
2) e is hypotenuse. other two are legs. [tex]f^{2} +d^{2}= e^{2}[/tex]
3) h is hypotenuse. other two are legs. [tex]g^{2} +i^{2}= h^{2}[/tex]
Amy, Justin, and Henry sent a total of 70 text messages during the weekend. Justin sent 10 fewer messages than Amy. Henry sent 2 times as many messages as Amy. How many messages did they each send?
Answer:
justin 10+ Amy 20 + henry 40+ do answer would be 10+20+50=70
explanation
I took justin and timed it by two then half of 20 is 10 then timed it by two again which 20*2 is 40
add it all together and you get 70
Amy sent 20 messages, Justin 10 messages and Henry 40 messages in total.
System of equationsThese type of equation consists of equation with unknown variables.
Let the number of messages sent by amy be x
Let the number of messages sent by Justin be y
Let the number of messages sent by Henry be z
If the total number od mesages sent is 70, hence;
x + y + z = 70
If Justin sent 10 fewer messages than Amy, then;
y = x - 10
If Henry sent 2 times as many messages as Amy, then;
z= 2x
Substitute
x + x - 10 + 2x = 70
4x = 70 + 10
4x = 80
x = 20
Recall
y = x - 10
y = 10
Also z = 2x
z = 2(20)
z = 40
Hence Amy sent 20 messages, Justin 10 messages and Henry 40 messages in total.
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