Answers
Explanation
\(4x+2y=-14\)
Step 1
isolate y
a)subtract 4x in both sides
\(\begin{gathered} 4x+2y=-14 \\ 4x+2y-4x=-14-4x \\ 2y=-4x-14 \end{gathered}\)b) divide both sides by 2
\(\begin{gathered} \frac{2y}{2}=\frac{-4x-14}{2} \\ y=-2x-7 \end{gathered}\)Step 2
now, find 2 points of that line
when x=0
\(\begin{gathered} y=-2x-7 \\ y=-2\cdot0-7 \\ y=0-7 \\ y=-7 \\ (0,-7)P1 \end{gathered}\)when x=-2
\(\begin{gathered} y=-2x-7 \\ y=-2(-2)-7 \\ y=4-7 \\ y=-3 \\ (-2,-3)P2 \end{gathered}\)Step 3
draw
Related Questions
Mary Lou Mason purchased baby bottles for $4.56, baby formula for $12.45, and a pacifier for $2.13. For all purchases she must pay the state sales tax of 6.5 percent and the county tax of 1.5 percent. What is the tax on her purchases? Show all of your work.
Answers
Mary Lou Mason's total taxes on her purchase would be $1.37.
What are taxes?Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.
Mary Lou Mason's total purchase was $19.14.
To calculate the total taxes for her purchase, we can use the following formula:
Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)
Therefore, the total taxes for Mary Lou Mason's purchase would be:
Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)
Tax = (0.065 x 19.14) + (0.015 x 19.14)
Tax = 1.24 + 0.13
Tax = $1.37
Mary Lou Mason's total taxes on her purchase would be $1.37.
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Select the correct name in the table.
A teacher arranged some pencils on her desk as shown below and asked her students what concept the pencils demonstrated.
Allie said the pencils are an example of perpendicular lines.
Caryl said the pencils are an example of perpendicular segments.
Frank said the pencils are an example of parallel lines.
Hector said the pencils are an example of parallel segments.
Morgan said the pencils are an example of lines that are neither parallel nor perpendicular.
Terrence said the pencils are an example of segments that are neither parallel nor perpendicular.
Which student answered correctly?
Allie Caryl Frank
Hector Morgan Terrence
Answers
The person that is correct among the students is Frank who said the pencils are an example of parallel lines.
What are parallel lines?Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.
Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.
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A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars went a combined total of 2100 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?
Answers
Answers:
First car = 40 gallonsSecond car = 25 gallons==========================================================
Explanation:
I'll denote the cars with the labels A and B.
Car A has a fuel rating of 40 mpg (miles per gallon) and car B gets 20 mpg.
Let,
x = number of gallons used by car Ay = number of gallons used by car BSince car A gets 40 mpg, and uses up x gallons, then it travels 40x miles. Multiply the fuel rating with the number of gallons used to determine the distance traveled. Car B travels 20y miles since it gets 20 mpg.
Overall, the two cars travel a combined distance of 40x+20y miles. This is set equal to the 2100 miles stated to form the equation 40x+20y = 2100.
Let's divided every term by 20
40x+20y = 2100
40x/20+20y/20 = 2100/20
2x+y = 105
Then isolate y to get
y = 105-2x
We'll use this equation later.
------------------------
The two cars use up a total of 65 gallons, which means,
x+y = 65
Then we'll plug in y = 105-2x and solve for x.
x+y = 65
x+105-2x = 65
-x+105 = 65
-x = 65-105
-x = -40
x = 40
Car A (the 40 mpg car) used 40 gallons. It traveled 40x = 40*40 = 1600 miles.
Car B (the 20 mpg car) used y = 105-2x = 105-2*40 = 25 gallons of gas. Or you could note that if x = 40, then x+y = 65 must lead to y = 25. It traveled 20y = 20*25 = 500 miles.
The two cars combined distance is 1600+500 = 2100 miles to help verify the answers.
A drone flying over a field of corn identifies a dry area. The coordinates of the vertices of the area are shown. To what coordinates should the portable irrigation system be sent to water the dry area? Explain your reasoning.
Answers
The coordinates to which the portable irrigation system should be sent to water the area are:
(495.75, 672).
Where to send the portable irrigation system?The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.
Hence the coordinates are given as follows:
x-coordinate: Mean of the x-coordinates of x = 56, x = 144, x = 888, x = 895.y-coordinate: Mean of the y-coordinates of y = 289, y = 332, y = 1012, y = 1055.Hence the x-coordinate of the point to which the system should be sent is:
x = (56 + 144 + 888 + 895)/4 = 495.75.
(the mean is given by the sum of the observations divided by the number of observations).
The y-coordinate of the point to which the system should be sent is:
y = (289 + 332 + 1012 + 1055)/4 = 672.
Missing InformationThe area is given by the image at the end of the answer.
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HELP Please!!!
Show your work.
Answers
Answer:
\(\huge\boxed{\sf 10}\)
Step-by-step explanation:
\(\sf =q + f \div \ e - r\\\\Given \ that \ q = 6 , f = 10, e=2 , r = 1\\\\= 6 + 10 \div 2 -1\\\\According \ to \ DMAS \ rule\\\\We'll \ divide \ first\\\\= 6 + 5 - 1\\\\Now \ go \ from \ left \ to \ right\\\\= 11 - 1 \\\\= 10\\\\This \ is \ the \ required\ answer.\\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807I need some help for two of the lines.
Answers
Answer:
\(y \leqslant - 1 + 4\)
\(y > - 1\)
Step-by-step explanation:
I believe these are correct, but of course I could also be wrong, so please let me know.
Remember that if the shaded space is above the line then the sign will be either "greater-than" or "greater-than-or-equal-to", if the shaded space is below the line then it will be the "lesser-than" varients. You only use the greater-than sign when the line is dotted, and the greater-than-or-equal-to sign when it's not, and same goes for the lesser-than varients.
I hope the short explaination makes sense. If you need more help or don't understand something, please let me know. I'd be happy to help :)
add one set of parentheses to make the following true. verify your work with the order of operations. 10+10÷10×10×10×10×10+10+10+10÷10=2021
Answers
The order of operations is in the form, bracket, order, division, multiplication, addition and subtraction.
g In 2013, the Pew Research Foundation reported that 43% of U.S. adults report that they live with one or more chronic conditions. However, this value was based on a sample, so it may not be a perfect estimate for the population parameter of interest on its own. The study reported a standard error of about 1.7%, and a normal model may reasonably be used in this setting. Create a 95% confidence interval for the proportion of U.S. adults who live with one or more chronic conditions. Report your answer as a percentage rounded to 3 decimal places. We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between % and % Submit All Parts Question 6
Answers
Answer:
We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%
Step-by-step explanation:
From the question we are told that
The sample proportion is \(\r p = 43\% = 0.43\)
The standard error is \(SE = 0.017\)
Given that the confidence level is 95% then the level of significance is mathematically represented as
\(\alpha = (100-95)\%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * SE\)
=> \(E = 1.96 * 0.017\)
=> \(E = 0.03332 \)
Generally 95% confidence interval is mathematically represented as
\(\r p -E < p < \r p +E\)
=> \(0.43 -0.03332 < p < 0.43 + 0.03332\)
=> \( 0.39668 < p < 0.46332\)
Converting to percentage
\( (0.39668 * 100)< p < (0.46332*100)\)
\( 39.7\% < p < 46.33 \%\)
This would be the third time I got this wrong pls help
Answers
Answer:
\(3 {x}^{4} - 6 {x}^{3} - 21 {x}^{2} - 2x + 8\)
Step-by-step explanation:
One root being i, an imaginary number is throwing me off.. but I can give it a shot if youd like.
So a coefficient is the number Infront of the X. so for 6X^2, the coefficient is 6.
It says the Leading Coefficient is 3. The one option for that is 3x^4, so that will be the in the first blank.
The exponents now (the little numbers) start with 4 and go down 1 after each block. Which means the last two blocks will have no little numbers since it would be 1 and 0. Those don't need exponents.
For the block after the 21x^2, we have two choices. Either 6x or 2x
For the last block we have two choices also.
8 or 24
To find if it's 6x or 2x...
Its showing roots of -2, i, and 4 with multiplicity of 1, which means
x^2-4x+2x+8
x^2-2x+8
We have 2x and 8
Those must be the other two blocks
The radius of a circle is 4 miles. What is the length of a 45° arc?
45°
r=4 mi
Answers
The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.
To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.
Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π
The length of the 45° arc is approximately 3.14 miles.
Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.
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Calculate the distance between the points P=(1, -1) and N=(5, -8) in the coordinate plane.
Round your answer to the nearest hundredth.
PLEASE PLEASE HELP ME
Answers
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)
What is the equation 80x16=?
Answers
Answer:
1280 is the answer
Answer:
1,280
Step-by-step explanation:
I'm going to calculate 80 x 16 obsessively by timesing.
Calculations
8 0
1 6
____
4 8 0
8 0 0
For the second row the first number will always be a zero because that is part of the rule.
Next we will add 800 + 480
8 0 0
4 8 0
______
1, 2 8 0
And there is your answer
Hope this helps have a great day:)
Choose the correct answer below
Answers
The correct statement is;
False, because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be x = 2π/3 + 2nx and x = 4π/3 + 2nx.
Option D
How to determine the statementFrom the information given, we have that;
All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx
There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx
Such that n is an integer.
This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.
The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.
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AC is 9.1 centimeters and BC is 4.2 centimeters. Find AB
Answers
Answer:
AB = 4.9cm
Step-by-step explanation:
We know
AC is 9.1 centimeters, and BC is 4.2 centimeters.
Find AB
We take
9.1 - 4.2 = 4.9cm
So, AB = 4.9cm
please answer need help
Answers
a random number is selected uniformly from 0; 1; 2; 3; 4; 5; 6; 7 without replacement until 3 is chosen. let x denote the number of selection. find the entropy h(x) in bits
Answers
The entropy of the random variable X in this case is approximately 1.585 bits.
The entropy of a random variable X is a measure of the uncertainty associated with it. In this case, the random variable X is the number of selections required to choose the number 3.
Since the numbers are selected without replacement, the possible values for X are 1, 2, and 3, and the probabilities for each value are:
P(X=1) = 1/3
P(X=2) = 2/7
P(X=3) = 4/7
The entropy of a random variable X in bits is given by the formula:
H(X) = -∑P(X) log2(P(X))
Plugging in the probabilities above:
H(X) = -(1/3 log2(1/3) + 2/7 log2(2/7) + 4/7 log2(4/7))
H(X) = 1.585 bits
So, the entropy of the random variable X in this case is approximately 1.585 bits.
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if there were 1600 frogs shaking their butts on lily pads and 199 of them leave how much frogs are still shaking their butt on lily pads
Answers
Answer:
if there were 1600 frogs shaking their butts on lily pads and 199 of them leave, 1401 frogs will still be shaking their butts.
Step-by-step explanation:
What is the least common multiple of 14 and 24?
Answers
Answer:
168
Step-by-step explanation:
Answer:
168
Step-by-step explanation:
24*7=168
14*12=168
The Jenkins purchased six tickets for a charity auction for total price of 64.50 estimate the cost of each ticket
Answers
Answer:
10.75
Step-by-step explanation:
64.50 divided by 6 = 10.75
Hope this helps!!!
Find the value of X, I need help solving this.
Answers
Answer:
The answer is 21
Step-by-step explanation:
21x4+2=86
Answer:
C) 21
Step-by-step explanation:
The given angles are vertical so they have the same measurement
4x + 2 = 86° subtract 2 from both sides
4x = 84 divide both sides by 4
x = 21
Jacob bought a magazine for $2.80 and three candy bars. Write an expression for how much Jacob paid.
Answers
Answer:
total = 2.8 + 3x
x is the price of the candy bars
PLEASE HELP! I JUST NEED TO KNOW HOW YOU SOLVE THIS!!! SEE ATTACHED!!! WILL MARK YOU BRAINLIEST!!! Surface Area
Answers
The surface area of the complex solid is 530 square yards.
How to determine the surface area of a complex solid
In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:
A = w · h
Where:
A - Area, in square yards.w - Width, in yardsh - Height, in yards.The surface area of the complex solid is:
A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)
A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²
A = 530 yd²
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Which is the decimal expansion of the following 1/5
Answers
Answer:
Decimal expansion of 1/5 = 0.2
Please help me i need it for today!
Answers
The solution to the problems are;
1. Area = 108 square feet
2. Area = 342 square feet
3. x = $1, 890, x = $1764
4. Cost, x = $151. 2, $117. 6
How to determine the valuesThe formula for calculating the area of a rectangle is expressed with the equation;
A = lw
Such that;
l is the length of the rectangle.w is the width of the rectangle.From the diagram shown, we have that;
The deck is gray
The garden is white
1. The area of the garden in design A
Area = 9(12) = 108 square feet
2. The area of the deck in design A is;
Area = 18(25) = 450 square feet
The area of the deck without the garden = 450 - 108
Area = 342 square feet
3. If $4. 20 = 1 square feet in design A
Then, x = 450 square feet
x = $1, 890
Area of deck of design B = 21(20) = 420 square feet
cost = $1764
4. If $1. 40 = 1 square feet of garden A
Then, x = 108 square feet
Cost = $151. 2
For garden of design B
Area = 1/2 × (12)(14) = 84 square feet
Then, cost = $117. 6
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which is closer to one, 7/8 or 8/7?
Explain without converting to decimals or using common denominators.
Answers
9514 1404 393
Answer:
7/8
Step-by-step explanation:
7/8 differs from 1 = 8/8 by 1/8.
8/7 differs from 1 = 7/7 by 1/7.
1/8 is smaller than 1/7, so 7/8 is closer to 1.
In the year 2012, 12% of the residents of the US moved to a different residence. Suppose that several
census workers took random samples of n = 150 residents from the population and computed the
proportion p of residents in each sample who had moved in 2012
What would be the shape of the sampling distribution of p?
Answers
Answer:
Approximately normal
Step-by-step explanation:
rena divides a square into 8 equal part. what unit fraction should she write as a label for each parts?
Answers
The unit fraction is 1/8
A unit fractions one with numerator being 1
She divide the square into 8 and took 1 part out
Hence is 1 out of 8 Represented mathematically as 1/8
If rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.
What is Fraction?A fraction represents a part of a whole.
Given that rena divides a square into 8 equal part.
A division is a process of splitting a specific amount into equal parts.
Let the whole square is divided into eight equal parts.
Which can be represented by 1/8.
Where the numerator 1 represents the whole and eight represents the parts.
The unit fraction for each part is 1/8 because the square is divided into 8 equal parts.
This means each part is one eighth of the whole.
Hence, if rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.
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hello I have a question for you whats is the best estimate for √74
Answers
Answer: 8.6
Step-by-step explanation:
The square root of 74 cannot be simplified, but its decimal form is 8.6.
what is da rate to question
Answers
The calculated value of the rate of the graph is 0.8
How to determine the rate of the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(0, -16) and (20, 0)
The rate of the graph is calculated as
Rate = Change in y/x
using the above as a guide, we have the following:
Rate = (0 + 16)/(20 - 0)
Evaluate
Rate = 0.8
Hence, the rate is 0.8
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IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math
Answers
c-9
to find the amount of parents in the room we'd have take away the amoutn if children in the room from the total amount of people
25-9
thus, your expression to represent the amount of parents would be
c-9
Hope this helped you- have a good day bro cya)