Answer:
y - 4 = -1/2 (x+1)
Step-by-step explanation:
The point slope form of the equation is expressed as;
y-y0 = m(x-x0)
Get the slope
m = 4-5/-1-(-3)
m = -1/2
Substitute any of the point and m = -1/2 into the expression
y - 4 = -1/2 (x+1)
2(y-4) = -(x+1)
2y-8 = -x-1
2y+x = -1+8
2y+x = 7
Hence the required equation of the line is 2y+x = 7
4+6x=-3+7x
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Answer:
x is equal to seven.
Step-by-step explanation:
To solve this you can move like terms to each side, then divide both sides by the coefficient of x:
4 + 6x = -3 + 7x
6x -7x = -3 - 4
-x = -7
x = 7
What is the value of b if (3 + i) and (3 - i) are complex roots of 2x² + bx + 20 = 0?
A. -12
B. -6
C. 6
D. 10
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Write an equation and solve for x.
That's the final Answer, and don't worry about the answer in point form. I worked it out correctly. All steps followed;
angles in a triangle add up to 180°
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Answer: A = w/p
Step-by-step explanation:
A = w/p
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Answer:
use brainly
Step-by-step explanation:
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2. Name two lines in the diagram.
1)JK, LB
2)MA,JD
3)KC, DA
4)MI,EF
Answer:
answer is third option KC,DA
what is 2 2/5 divided by 2 1/5
Answer: 1.09090909091
Step-by-step explanation: I hope it helps
Please I need help!!
Jason has 4 gallons of hand sanitizer that contains 25% alcohol. He wants to make a hand sanitizer that contains 50% alcohol. How many gallons of pure alcohol should he add?
Answer:
2 gallons
Step-by-step explanation:
25% of 4 gallons is 1 gallons, which means that 75% of the hand sanitizer is not alcohol, and is 3 gallons. since that is the amount of not alcohol, and we want it to be 50% solution, it has to be 3 gallons of alcohol in total, and 3-1=2.
Two gallons of pure alcohol should he add to make hand sanitizer that contains 50% alcohol.
Percentage:Given that, 4 gallons of hand sanitizer that contains 25% alcohol.
25% of 4 gallons is 1 gallons. It means that out of 4 gallons, 1 gallon are pure alcohol and 3 gallons are non- alcohol.
We have to make a hand sanitizer that contains 50% alcohol.So that, when we add 2 gallons of alcohol in the 4 gallons of hand sanitizer.Then, that hand sanitizer that contains 50% alcohol.
Learn more about the percentage here:
https://brainly.com/question/19247356
(12) Find the value of x. The diagram is not to scale.
Answer:
c = 64
Step-by-step explanation:
If Marisa saved for 10 weeks, how
much money would she have now?
Answer:
125
Step-by-step explanation:
10*10=100+25=125
Michelle bought a computer that was 25% off the regular price of $980. If a 6% sales tax was added to the cost of the computer, what was the total price Michelle paid for the computer? A. $735.00 B. $779.10 C. $793.80 D. $1,298.50
Answer:
It fairly simple the answer is B
Which number is a reasonable estimate for 637x35?
Answer:
20,000
Step-by-step explanation:
if you multiply those numbers you get 22,295 which rounds to 20,000
Estimate:
26k
Out of the answer choices you commented on another answer, that's the one I chose.
Rearranging formula
18
4 friends weigh themselves. Bert is 20kg heavier then Arlo. Cassie is 5 kg lighter then Bert and Donnie is half of Berts weight. If their average weight is 57kg how much does Arlo weigh?
Answer:
Arlo's weight = 52.3 kg
Explanation:
Let Arlo be "x"
Then,
Arlo = x
Bert = x+20 (Because Bert is 20 heavier than Arlo)
Cassie = x+20-5 (Because Cassie is 5 lighter than Bert)
Donnie = [tex]\frac{x+20}{2}[/tex] (Because Donnie is half of Bert's weight)
Average = 57
Step by step Calculations:
57 = [tex]\frac{(x) + (x+20) + (x+20-5) + (\frac{x+20}{2} )}{4}[/tex] (The whole divided by 4 because the total people is 4)
57*4 = x + x + 20 + x + 20 - 5 + [tex]\frac{x+20}{2}[/tex]
228 = 3x + 35 + [tex]\frac{x+20}{2}[/tex]
228 - 3x - 35 = [tex]\frac{x+20}{2}[/tex]
193 -3x = [tex]\frac{x+20}{2}[/tex]
2(193 - 3x) = x + 20
386 - 6x = x + 20
386 - 20 = x + 6x
366 = 7x
x = [tex]\frac{366}{7}[/tex]
x = 52.3 kg (corrected to 3 significant figures)
Therefore Arlo's weight is 52.3 kg
Carlotta has a blue sweater, a red sweater, a pink sweater, and a white sweater. She also has a pair of black pants
and a pair of brown pants. Which of the following shows how many different ways she can wear a sweater and pair of
pants together?
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Answer:
The answer is D.
Step-by-step explanation:
Find the lcm of 5m^7+ 35m^6+50m^5 And -20m^5-80m^4+100^3
Answer:
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
Step-by-step explanation:
Least Common Multiple
We are given the polynomials
[tex]5m^7+ 35m^6+50m^5[/tex]
[tex]-20m^5-80m^4+100m^3[/tex]
Find the common factors of each polynomial, first the coefficients:
5 = 5
35 = 5*7
50 = 5*5*2
The common factor with the least exponent; 5
Now for the variables:
[tex]m^7, m^6, m^5[/tex]
The common factor with the least exponent; m^5
LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]
Similarly:
20 = 2*2*5
80=2*2*2*2*5
100 = 2*2*5*5
Common factor of the coefficients: 2*2*5=20
Common factor of variables: [tex]m^3[/tex]
LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
The number of miles driven varies directly with the number of gallons of gas used. If 8 gallons of gas are used to drive 204 miles, how many miles can be driven on 18 gallons of gas?
Answer:
3672
Step-by-step explanation:
If 8 gallons of gas were used to drive 204 miles multiply 18x204=3,672 miles
The car be driven 459 miles on 18 gallons of gas.
What is linear proportionality?A quantity is said to be linearly proportional to another quantity, if the value of the first quantity varies linearly with the second quantity.
Given,
8 gallons of gas is used to drive 204 miles.
Also, the number of miles driven varies directly with the number of gallons of gas used.
Therefore, (number of miles)/18 = 204/8
number of miles = 18 × (204/8)
= 18 × 25.5
= 459 miles
Hence, the car be driven 459 miles on 18 gallons of gas.
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The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponent function to find the population of the town after 5 years
Answer:
2099
Step-by-step explanation:
The formula for Exponential Decrease is given as:
P(t) = Po × e ^-rt
Where
r = Decrease rate = 3.5% = 0.035
t = time in years = 5 years
Po = Initial population = 2500
P(t) = Current Population after t years
Hence:
P(t) = 2500 × e^ -(5 × 0.035)
P(t) = 2500 × e^-0.175
P(t) = 2098.6425519
Approximately = 2099
The population of the town after 5 years = 2099
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Answer:
Step-by-step explanation:
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Please help me. I need a step by step explanation.
Answer:
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Step-by-step explanation:
Answer:
Answer for the first part: x = 0 so f(x) = 4
Answer for the second part: f(-2) = 2
Step-by-step explanation:
In order to solve the first prat of the problem you will just have to find a point on the function that has a y coridnate of 4, and the x cordinate of the exactly the same point will be the answer to your question. So in our case there is only one point like that and it (0,4). So that means the value of x for whcih f(x) = 4 is x = 0.
Now in order to answer the second part of this problem you will just have to find on a function with the x coridnate being -2, and the y cordinate of the exactly the same point will be the answer. In our case there is only one point liket aht and it is the point (-2,2). So that means taht the answer to the second part of the problem is f(-2) = 2.
Convert 60 inches to feet. There are 12 inches in a foot
Answer:
60/12= 5
5 feet
Answer:
5 feet
Step-by-step explanation:
Divide the length value (inches) by 12.
Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a?
r = 4 minus two-thirds a
r = 4 + two-thirds a
r = 6 minus three-halves a
r = 6 + three-halves aThe formula for electrical power is P = I V. Which is the equivalent equation solved for i?
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Answer: Choice D) [tex]x = a\left(1-\frac{y}{b}\right)[/tex]
================================================
Work Shown:
[tex]\frac{x}{a}+\frac{y}{b} = 1\\\\\frac{x}{a} = 1-\frac{y}{b}\\\\x = a\left(1-\frac{y}{b}\right)\\\\[/tex]
Explanation:
First I subtracted y/b from both sides. Then I multiplied both sides by 'a' to fully isolate x. You can optionally distribute the 'a' through to each term inside the parenthesis, but your teacher has chosen not to do this.
rewrite in simplest terms −6(−0.8w−0.8)+3(−0.9w−0.3)
Answer:
2.1w + 3.9
Step-by-step explanation:
Simplify 6° = 63
O A. 126
O B. 66
O C. 6-6
O D. 63
Answer:
i think its c 6-6 so good luck
You are traveling to Sacramento, CA from Los Angeles, about 375 miles by train. If the train travels an average speed of 30 mph, how long will it take to reach Sacramento?
Answer:
12.5 hours
Step-by-step explanation:
divide 375 by 30 and you get how many hours it would take
12.5
What are the solutions of the inequality?
-4(-2x+3) > 8x – 14
can someone explain why it’s infinitely many solutions?
Answer:
( − ∞ , ∞ )
Step-by-step explanation:
Please help, this is called Writing Equations