Plot the line for the equation on the graph.
y−4=−14(x−5)
Answers
The coordinates are (5,4) and (9,3)
Remember that the x axis comes before the y axis when plotting down the points. I made this simple mistake with these coordinates reversed and got it wrong with putting the y axis before the x axis.
The graph of the equation of line y = - 14x + 74 is shown in figure.
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;
The equation of line is,
y - 4 = - 14 (x - 5)
Now,
The simplify the equation of line as;
y - 4 = - 14 (x - 5)
y - 4 = - 14x + 70
Add 4 on both side, we get;
y - 4 + 4 = - 14x + 70 + 4
y = - 14x + 74
Thus, By comparing the slope form of the equation of line y = mx + b we get;
The slope of the line m = - 14
And, The y - intercept = 74
So, The graph of the equation of line y = - 14x + 74 is shown in figure.
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Related Questions
A city has 3 new houses for every 9 old houses. If there are 21 new houses in the city, how many old houses are there?
Answers
Final answer:
To find the number of old houses when the city has 3 new houses for every 9 old houses, set up a proportion. By cross-multiplying 3/9 = 21/x, we find that there are 63 old houses when there are 21 new houses.
Explanation:
The student asks how many old houses there would be if a city had 3 new houses for every 9 old houses, and there are 21 new houses. This is a problem of proportions that can be solved using a simple cross-multiplication method.
To solve for the number of old houses, set up a proportion with the numbers provided:
3 new houses / 9 old houses = 21 new houses / x old houses
Now, cross-multiply:
3x = 9 × 21
3x = 189
Divide both sides by 3 to find x:
x = 189 / 3
x = 63
So, there are 63 old houses in the city.
ab+3c=2x solve for b
Answers
b=−3c+2x over a
Answer:
b=(2x-3c)/a
Step-by-step explanation:
ab+3c=2x
ab=2x-3c
b=(2x-3c)/a
3(n+4)=17 using the equation above, write a description
Answers
which statement about the equation is true x+2=x+4
Answers
This is not a solvable equation
no matter what, it will not equal
so your answer is unsolvable
hope this helps
Evaluate the expression when x = 8 and y = 1.
x – y – 2
A.
16
B.
5
C.
7
D.
9
Answers
First, simplify to 4. Your problem should look like: 4 x 1.
Second, multiply. 4 x 1 = 4 so that is your answer.
Also, to start the equation up, make sure to add in the numbers in replace for the letters. Your problem to start with should look like: .
Estimate 4020 ÷ 16 by first rounding each number so that it has only 1 nonzero digit.
Answers
The required estimated value of the division of 4020 / 16 is 200.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
here,
As of the given question,
rounding of the number 4020 is 4000, as the digit 20 in ten place is less than 50.
Rounding of the number 16 is 20
Now,
Division = 4000 / 20 = 200
Thus, the required estimated value of the division of 4020 / 16 is 200.
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Final answer:
To estimate 4020 divided by 16, round 4020 to 4000 and 16 to 20, then divide the rounded numbers to get an estimate of 200.
Explanation:
Estimating 4020/ 16 by Rounding
To estimate 4020/ 16 by first rounding each number so that it has only one non-zero digit, we'll start by rounding 4020 and 16 to their most significant figures. We round 4020 to 4000 since the first non-zero digit is a 4 with three following zeros, making it the most significant figure. Similarly, we round 16 to 20 because the leading digit is a 1 which we can round up to a 2 followed by a zero.
Next, we perform the division with our rounded numbers: 4000/ 20 = 200. This is our estimated result after rounding the original numbers to one non-zero digit and performing simple division.
The estimated division is simpler and can be done without a calculator, which is helpful for quick approximations.
Brainliest! Please help!
-6.4 - 4u
What is the answer is U = -2.8
A. -17.6
B. 4.8
C. 17.6
D. 29.12
Answers
If U= -2.8
-6.4-4*-2.8=4.8
So the answer is B.
Hope this helps!
20 points!!!
11 - 3x ≥ - 4
Question 3 options:
x is greater than or equal to negative 5
x is less than or equal to negative 5
x is greater than or equal to 5
x is less than or equal to 5
Answers
11-3x >= -4
subtract 11 from both sides
-3x >= -15
divide both sides by -3
-15 / -3 = 5
so the answer would be x is less than or equal to 5
Which expression could be used to determine the cost of a $40 video game after a 15 percent discount?
Answers
Answer: The required expression is,
$ 40(0.85)
Step-by-step explanation:
Given,
The original cost of the videogame = $ 40,
Discount percentage = 15%,
So, the amount of discount = 15% of 40
= (0.15)40 ( ∵ 1% = 0.01 )
Hence, the cost of the videogame = original cost - discount
= 40 - (0.15)40
= 40 (1-0.15)
= 40(0.85)
Which is the required expression .
Answer:
the answer is $ 40(0.85)
Three more than twice a number is equal to the number. What is the number?
2n + 3 = n
Is it
A) -6
B) -3
C) 0
or
D) no solution?
Answers
2(-3) = -6
-6 + 3 = -3
hope this helps
Name one ordered pair that is a solution and one ordered pair that is not a solution to the equation 5x+3y=15.
Answers
One that is not a solution could be x=2 and y=3, so 5 * 2 + 3 * 3 = 19.
Hope this helps!
5(0) + 3(5)=15
5x0=0
3x5=15
0+15=15
So, this is correct.
One that isnt a solution is (9,0) following the same formula.
I hope this helps:) Please give brainliest
What is the answer to 2x^3 x 3x^-2?
Answers
Answer:
6x
Step-by-step explanation:
The rule of exponents that applies is ...
(a^b)(a^c) = a^(b+c)
__
(2x^3)(3x^-2) = (2)(3)(x^(3-2)) = 6x
_____
It can be confusing when you use x both for a variable and a math operator. There are other ways to indicate multiplication, and there are other letters you can use for a variable.
If your middle x is actually intended to be a variable, then the result is 6x².
Find two integers whose sum is -7 and whose product is 12. Explain how you found the numbers.
Answers
When we list all the factors of 12, negative and positive, we see that the only pair is -4 and -3.
Hope this helps!
Final answer:
To find the two integers, we looked for factors of 12 and tested them to find a pair that summed to -7. We discovered that -3 and -4 are the two integers that meet both the sum and product conditions.
Explanation:
To find two integers whose sum is -7 and whose product is 12, we need to find two numbers that add up to -7 and multiply to give 12.
Let's denote the two numbers we are looking for as x and y. We have two equations:
x + y = -7 (Equation 1)
xy = 12 (Equation 2)
We can use various methods to solve these equations, such as factors of 12, trial and error, or a systematic approach like substitution or elimination, but in this case, factoring is the easiest. We look for two numbers that multiply to 12 (1x12, 2x6, 3x4) and also add up to a sum of -7. We can see that the pair of numbers that satisfies both conditions is -3 and -4, because (-3)+(-4) = -7, and (-3)x(-4) = 12.
Thus, the two integers are -3 and -4.
How does ATP store energy for life's processes and how is it recycled?
Answers
what is a rational number between a pair of 3/8 and 3/4
Answers
_____________________________
So is: " ⅝ " .
_____________________________
Note:
_____________________________
We are asked to find a "rational number" between": "3/8" and "3/4"
"3/4" = "(3*2)/(4*2") = (6/8).
So, find a rational number between "3/8" and "6/8.
Among many, some include "4/8, and 5/8.
4/8 = (4÷4)/(8÷4) = 1/2 ;
So among many, some include: " ½ ; ⅝ " .
____________________________________________________
You are helping a coworker with a presentation and he has asked you to print out memos for him on a variety of colored paper. 60 people will be attending and he needs 60% of the memos to be blue, 20% to be red, 15% to be green, and 5% to be yellow. How many green memos do you need to print?
Answers
15% of 60 is 9.
HELPPPP PLZzzzzzzzzzzzz
Answers
The Canadian side of Niagara Falls has a flow rate of 600,000 gallons per second. How many gallons of water flow over the falls in 1 minute?
Answers
36,000,000 gallons
Further explanationGiven:
The Canadian side of Niagara Falls has a flow rate of 600,000 gallons per second.
Question:
How many gallons of water flow over the falls in 1 minute?
The Process:
We will solve the problem of finding many gallons of water flow over the falls in one minute. This is related to unit conversions.
Let us look carefully.
Every second flows 600,000 gallons of water.In one minute, or 60 seconds, water flows as much as:[tex]\boxed{ \ = \frac{600,000 \ gallons}{1 \ second} \times 60 \ seconds \ }[/tex]
The second unit is crossed out.The total zero from the multiplication above is six, while the yield of 6 times 6 is 36, so the final result is 36,000,000.[tex]\boxed{ \ 600,000 \ gallons \times 60 = 36,000,000 \ gallons \ }[/tex]
Thus, the amount of water flowing in a waterfall is [tex]\boxed{\boxed{ \ 36,000,000 \ gallons \ }}[/tex]
Learn more32 is 40 percent of what number? https://brainly.com/question/82877What is the speed in km/hr and mi/min (miles/minute)? https://brainly.com/question/2088710#What is the amount of apple juice in each bottle https://brainly.com/question/5798698Keywords: The Canadian side of Niagara Falls, a flow rate of 600,000 gallons per second, how many gallons of water flow, in 1 minute, unit conversions, the second unit is crossed out
What pre-research decisions do psychologists make?
Answers
What is the value of h(−2) when h(x)=3x+1 ?
Answers
h(x)=3x+1
h(x)=3(-2)+1
h(x)=-6+1
h(x)= -5
At rite aid, you can buy 5bags of skittles for $5.25. At Duane trade, you can buy 4 bags of skittles for $5.00. At CVS, you can buy 10 bags of skittles for $9.00. Which store has the better unit price per bag of skittles?
Answers
duane trade : 5/4 = 1.25 per bag
cvs : 9/10 = 0.90 per bag
better unit price is CVS
What is the side length of a cube with a volume of 64 mm3? Cube V = s3 1. Substitute the value into the formula: 64 = s3 2. Undo the cube by applying the cube root: 3√64 = 3√s3 What is the side length of the cube? mm
Answers
The volume of a cube is given as 64 cubic mm then the side length of the cube is 4 mm.
What is the volume of a cube?The volume of a cube can be calculated as the cube of the sides of a given figure.
The volume of a cube =[tex]sides^3[/tex]
We have been given that the volume of a cube is 64 cubic mm. We need to find the side length of the cube.
The volume of a cube =[tex]sides^3[/tex]
64 = [tex]sides^3[/tex]
Now we will take cube-root on both sides of the equation;
∛ 64 = ∛ [tex]sides^3[/tex]
∛ 4^3 = ∛ s^3
4 = s
Therefore, the side length of the cube is 4 mm.
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match the equation with it's graph -4×-2y=8
Answers
we will reorder the equation to in the form of y = mx + c
-4x - 2y = 8
-4x -8 = 2y
y = -2x -4
Now, we will need to generate some points that belong to the graph in order to be able to draw the line.
To do this , we will assume values for x, substitute with these values in the equation and then get the corresponding y.
Doing this, these points will be generated:
(-5,6)
(-4,4)
(-3,2)
(-2,0)
(-1,-2)
(0,-4)
(1,-6)
(2,-8)
(3,-10)
(4,-12)
(5,-14)
Plotting these order pairs on the graph will generate the line shown in the attached image.
Hope this helps :D
One cell phone company offers 500 minutes of talk time for $49.99. Another company offers 480 minutes for $44.99. Which company offers the better deal?
Answers
500/49.99 = ~10.00
480/44.99= ~10.67
10.67>10.00
The solution is Company A
The company which offers the better deal is Company A with 500 minutes of talk time with $ 49.99
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the the first company be = A
Let the second company be = B
Now , Company A offers
The total talk time by Company A = 500 minutes
The total amount of talk time = $ 49.99
So , the equation will be
The talk time per minute = total talk time by Company A / total amount of talk time
Substituting the values in the equation , we get
The talk time per minute = 500 / 49.99
The talk time per minute = $ 10.00
Now , Company B offers
The total talk time by Company B = 480 minutes
The total amount of talk time = $ 44.99
So , the equation will be
The talk time per minute = total talk time by Company B / total amount of talk time
Substituting the values in the equation , we get
The talk time per minute = 480 / 44.99
The talk time per minute = $ 10.66
Therefore , the value of talk time per minute of Company A is less than Company B
Hence , The company which offers the better deal is Company A with 500 minutes of talk time with $ 49.99
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HELP WITH MATH PLEASE! ASAP!!! Annika borrowed a book from the library and forgot to return it on time. The library charges $0.25 per day for the first four days and $0.30 per day for all of the remaining days of Annika had to pay the library $4.00. How many days late was her book? THANKS
Answers
Then we know she was an extra 10 days late because 10*0.30=3.
3+1= $4.00
She was late 14 days altogether.
.25 x 4days = $1.00
0.30x 10 days = $3.00
$3 + $1 = $4
Faça o balanceamento das equaçoes:
A) C15 H30 + 02 > C02 + H20
B) C15 H30 + 02 > C02 + H20
Answers
Need help as soon as possible. Numbers seven through 11. 11 points!!!!!!! !!!!!
Answers
8.40%
9.44.44444444%...forever
10.60%
11.70%
How many nickels would be in $23.50?
Answers
Answer:
470 nickels
Step-by-step explanation:
$23.50 ÷ 0.05 = 470
a certain number added twice to itself equals 96.what is the number?
Answers
Hope this helps
what is unique about this graph?