Answers
Answer:
y= 0.25x
Step-by-step explanation:
First, use the slope formula to calculate the slope.
Second, solve for the y-intercept using the slope and one of the points.
Finally, once you've determined m and b, you can enter them into the slope-intercept form of a line (y = mx + b) to obtain the equation for the line.
Related Questions
Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a bead from the bowl.
The probability of Kayla not drawing a yellow or a green bead is ______%. The probability of Kayla drawing a red or a green bead is _______%.
Answers
\(\huge\pink{Answer}\)
7/10 and 23/50
Answer:
1. 30%
2.46%
Step-by-step explanation:
The probability of Kayla not drawing a yellow or a green bead is 30 %. The probability of Kayla drawing a red or a green bead is 46 %.
Correct for plato! :)
construct a box plot from the given data. diameters of cans in an assembly line: 5.7,5.6,5.1,5.4,5.2,5.6,5.7,5.3,5.8,5.2
Answers
The resulting box plot for the given data would show a box ranging from 5.2 to 5.7, with the median at 5.4.
A box plot, also known as a box-and-whisker plot, is a graphical representation of numerical data that displays the distribution of a dataset. It provides a visual summary of the minimum, first quartile, median, third quartile, and maximum values, as well as any outliers that may be present.
To construct a box plot from the given data (diameters of cans in an assembly line: 5.7, 5.6, 5.1, 5.4, 5.2, 5.6, 5.7, 5.3, 5.8, 5.2), follow these steps:
1. Sort the data in ascending order: 5.1, 5.2, 5.2, 5.3, 5.4, 5.6, 5.6, 5.7, 5.7, 5.8.
2. Find the median (middle value) of the dataset, which is 5.4.
3. Determine the first quartile (Q1), which is the median of the lower half of the data. In this case, it is the median of the numbers below 5.4: 5.2.
4. Find the third quartile (Q3), which is the median of the upper half of the data. In this case, it is the median of the numbers above 5.4: 5.7.
5. Calculate the interquartile range (IQR) by subtracting Q1 from Q3: 5.7 - 5.2 = 0.5.
6. Identify any outliers in the dataset. Outliers are values that fall below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR. In this case, there are no outliers.
7. Construct the box plot using a number line. Draw a box from Q1 to Q3, with a line inside representing the median. Add whiskers (lines) extending from the box to the minimum value (5.1) and the maximum value (5.8).
The resulting box plot for the given data would show a box ranging from 5.2 to 5.7, with the median at 5.4. The whiskers would extend from 5.1 to 5.8. This visual representation provides an overview of the distribution and key statistical measures of the diameters of cans in the assembly line.
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What's the inverse of f x )= 1 4x 7?
Answers
The inverse of f is a function which takes any value x and divides it by 4, then adds 7 to the result.
The inverse of a function is the opposite of the original function, meaning that it takes the output of the original function and turns it back into the input. In this case, the original function is f(x)=1/4x+7. To find the inverse, we need to solve for x in the equation, which can be done by subtracting 7 from both sides and then multiplying both sides by 4. This gives us x=(x+7)/4, which is the inverse of the original function. To put it simply, the inverse of f takes any output of the original function, adds 7 to it, and then divides it by 4 to get the original input.
example;
If f(x)=1/4x+7 and x=3, then
f(3) = (1/4)3 + 7
7.75
The inverse of f is f^-1(x) = (x + 7) / 4.
If f^-1(7.75) = (7.75 + 7) / 4, then
f^-1(7.75) = 14.75 / 4
3.6875
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Three people become infected with a virus that spreads quickly. Each day that passes, the number of infected people doubles. How can the number of infected people be determined from the number of days that have passed?
Answers
Answer: raise 2 to the number of days, and then multiply this value by 3.
Step-by-step explanation:
Answer: D
Step-by-step explanation:
can someone help me pls?
Answers
Answer:
decreasing: (-2, -1)∪(-1, 0)Step-by-step explanation:
From x = -2 to x = 0 function is decreasing, but for x= -1 function doesn't exist, so we need to exclude x = -1 from (-2, 0)
A delicatessen is open 24 hours a day every day of the week. If, on the average, 20 orders are received by fax every two hours throughout the day, find the a. probability that a faxed order will arrive within the next 9 minutes b. probability that the time between two faxed orders will be between 3 and 6 minutes c. probability that 12 or more minutes will elapse between faxed orders
Answers
The answers are (a) 1.5 orders (b) 0.5 (c)-1
a. Probability that a faxed order will arrive within the next 9 minutes:
Since there are 24 hours in a day, and we receive an average of 20 orders every two hours, this means we receive an average of 10 orders per hour. We can assume that orders arrive uniformly throughout the hour. To find the probability that a faxed order will arrive within the next 9 minutes, we can convert the time to hours. 9 minutes is \(\frac{9}{60} = 0.15\) hours. The probability of an order arriving within the next 9 minutes is equal to the average rate of orders per hour multiplied by the time interval:
Probability = (10 orders/hour) * (0.15 hours) = 1.5 orders.
b. Probability that the time between two faxed orders will be between 3 and 6 minutes. Again, we need to convert the time interval to hours. 3 minutes is \(\frac{3}{60}=0.05\) hours, and 6 minutes is \(\frac{6}{60} = 0.1\).
The probability of the time between two orders being between 3 and 6 minutes can be calculated as the difference between the probabilities of an order arriving within the next 3 minutes and an order arriving within the next 6 minutes:
Probability = (10 orders/hour) (0.1 hours) - (10 orders/hour) (0.05 hours)
= 1 - 0.5
= 0.5.
c. Probability that 12 or more minutes will elapse between faxed orders:
Similar to the previous calculations, we convert the time to hours. 12 minutes is \(\frac{12}{60} = 0.2\) hours.
The probability that 12 or more minutes will elapse between faxed orders can be calculated as the probability of no orders arriving within the next 12 minutes:
Probability = 1 - (10 orders/hour) (0.2 hours)
= 1 - 2
= -1.
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Can someone please help me with this?
Answers
Answer:
y = x
Step-by-step explanation:
i took two points which are very close to the trend line - (3,3) and (5,5) - to get the slope
the slope is 2/2 or 1 and the y-intercept is zero
this means the trend line is 'y = x'
ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.
Answers
Answer:
8.50f + 3.00h = 24
Step-by-step explanation:
for what CD will his sales be over 4,782,969,000
Answers
Standard deviation is a statistical measure that represents the amount of variation or dispersion of a set of data points around the mean (average) value. It is a commonly used measure of the spread of a distribution, and it is defined as the square root of the variance.
We have,
Profitability is a measure of a company's ability to generate income (profit) from its operations. It is typically measured by comparing the company's revenue to its expenses. The higher the ratio of revenue to expenses, the more profitable the company is considered to be. There are several ways to measure profitability, such as:
1. Gross profit margin: This is calculated by subtracting the cost of goods sold from revenue and dividing by revenue. It measures the percentage of revenue that remains after accounting for the cost of the goods or services sold.
2. Operating profit margin: This is calculated by subtracting operating expenses from revenue and dividing by revenue. It measures the percentage of revenue that remains after accounting for all operating expenses.
3. Net profit margin: This is calculated by subtracting total expenses from revenue and dividing by revenue. It measures the percentage of revenue that remains after accounting for all expenses, including taxes and interest.
According to question:-
b) No, $300 is more than 5 standard deviations above the mean for the expected profit. The profit is calculated by multiplying the number of cups sold by the profit per cup and adding that to the number of doughnuts sold multiplied by the profit per doughnut. Since the expected number of cups sold and doughnuts sold fall within 5 standard deviations of their respective means, it is unlikely that the profit would be over $300 on any given day.
c) The probability of selling doughnuts to more than half of the coffee customers is not possible to calculate as it is not provided whether the number of doughnuts sold is independent of the number of coffee customers. The information given is only the mean and standard deviation of the number of doughnuts sold and the mean and standard deviation of the number of cups of coffee sold.
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complete question:
Ala cartan coffee shop, all the customers buy a cup of coffee and some also buy a doughnut. The shop owner beleves that the number of cups he sells each day s normally distributed with a mean of 350 cups and a standard deviation of 20 cups He also believes that the number of doughnuts he sets each day is independent of the coffee sales and is normally distributed with a mean of 120 doughnuts and a standard deviation of 13 Compile parts a) through c)
und to three decimal places as needed)
b if he makes a probit of 50 cents on each cup of coffee and 40 cents on each doughnut, can he reasonably expect to have a day's prolt of over $300? Explan
Yin 5300 Nes than standard deviations above the mean
No $300 is more than 5 standard deviation above the mean
OC Yes The number of doughnuts he expects to sell plus the number of cups of coffee is greater than 300
CD No The number of doughnuts he expects to sell plus the number of cups of coffee is less than 600)
c) What's the probability that on any given day he'll set a doughnut to more than half of his coffee customers?
A researcher designs a study to evaluate three dietary supplements that are reputed to lower the systolic blood pressure reading for people who have high blood pressure. An inert supplement is included to evaluate the placebo effect. Twenty subjects all having systolic readings higher than 160 mmHg are randomly assigned to each of the supplements and to the control. The researcher is concerned with the disparity in age of the 80 subjects (20–60 years old) and thus wants to include the effect of age in the model also. Write a general linear model in which the response variable y, the change in systolic blood pressure after 6 months of treatment, is linearly related to the age of the subject A for each of the three supplements and the placebo. From previous studies, the researcher determines that the relationship between the reduction in blood pressure readings and age may be substantially different for the three supplements and the placebo. For each of the following situations, display the expected change in blood pressure for each of the four treatments (three supplements and placebo) in terms of your model parameters.
a . The four treatment lines are not parallel.
b. The four treatment lines are parallel but do not coincide.
c. The four treatment lines coincide.
Answers
a. The expected change in blood pressure for each treatment varies based on the age of the subject and the specific supplement used.
b. The expected change in blood pressure for each treatment is parallel but differs in their intercept values.
c. The expected change in blood pressure for all treatments is the same, regardless of age or supplement used.
a. When the four treatment lines are not parallel, it means that the relationship between the reduction in blood pressure and age varies for each treatment. In this case, we can represent the general linear model as:
y = β0 + β1A + β2T1 + β3T2 + β4T3 + ε
where y is the change in systolic blood pressure, A is the age of the subject, T1, T2, and T3 represent dummy variables for the three supplements, β0 is the intercept, β1 represents the effect of age, and β2, β3, and β4 represent the effects of the three supplements, respectively.
b. When the four treatment lines are parallel but do not coincide, it means that the relationship between the reduction in blood pressure and age is the same for all treatments, but there are differences in the intercepts. In this case, the general linear model remains the same as in part a, but the interpretation of the parameters changes. The expected change in blood pressure for each treatment can be represented by the intercept terms:
Treatment 1: β0 + β2
Treatment 2: β0 + β3
Treatment 3: β0 + β4
Placebo: β0
c. When the four treatment lines coincide, it means that the relationship between the reduction in blood pressure and age, as well as the intercepts, are the same for all treatments. In this case, the model simplifies to:
y = β0 + β1A + ε
The expected change in blood pressure for each treatment is equal to the intercept term β0.
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Simplify 2x(x - 6) using either Algebra tiles or the Box Method on a sheet of paper
Answers
Answer: 2x^2 - 12x
Step-by-step explanation:
how do you find valume in a square.
Answers
Answer:
Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.
Step-by-step explanation:
Evaluate the surface integral.
∫∫S xz dS
S is the boundary of the region enclosed by the cylinder y + z2 = 64 and the planes x = 0 and x^2+ y^2 = 10.
Answers
To evaluate the surface integral ∫∫S xz dS, where S is the boundary of the region enclosed by the cylinder y + z^2 = 64 and the planes x = 0 and x^2 + y^2 = 10.
We need to parameterize the surface S and calculate the necessary components for the surface integral. To evaluate the surface integral, we first need to parameterize the surface S. The surface S consists of two parts: the curved surface of the cylinder and the circular disk on the plane x = 0. For the curved surface of the cylinder, we can parameterize it using cylindrical coordinates. Let's assume the cylindrical coordinates as (ρ, θ, z), where ρ represents the radius, θ represents the angle, and z represents the height. The equation of the cylinder, y + z^2 = 64, can be rewritten in cylindrical coordinates as ρsinθ + z^2 = 64. By solving for z, we get z = ±√(64 - ρsinθ).
For the circular disk on the plane x = 0, we can parameterize it using polar coordinates. Let's assume the polar coordinates as (r, θ), where r represents the radius and θ represents the angle. The equation of the disk, x^2 + y^2 = 10, can be rewritten in polar coordinates as r^2 = 10.Now, we have the parameterizations for both parts of the surface S. We can calculate the necessary components for the surface integral: the unit normal vector n, the magnitude of the cross product of partial derivatives (∥∂r/∂u × ∂r/∂v∥), and the differential element dS.
By substituting the parameterizations into the surface integral ∫∫S xz dS and calculating the necessary components, we can evaluate the surface integral. The specific calculations may depend on the chosen parameterizations and coordinate systems used.
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when multiplying matrices, multiply the elements in each of the first matrix times the corresponding elements in each. is it true?
Answers
False, every component of the matrix is multiplied by the same amount when you multiply a matrix by a number. A new matrix is created by this operation; it is known as a scalar multiple.
A rectangular matrix is a grouping of numbers in rows and columns. A matrix element/entry is the term used to describe each number in the matrix. The combination of a real number and a matrix is referred to as scalar multiplication.
Each entry/element of the matrix is multiplied by the specified scalar in scalar multiplication. Comparatively, matrix multiplication describes the result of two matrices. This operation is totally different. We can't just multiply the corresponding entries in two matrices to multiply them.
The first matrix must have exactly as many columns as the second matrix has rows in order to perform matrix multiplication. The resulting matrix has the same number of columns and rows as the second matrix, and its number of columns matches the number of rows in the first matrix.
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After obtaining two heads from two tosses of a coin, the probability of obtaining a head on the next toss is __________.
O 2/5
O 3/16
O 1/2
O 2/3
Answers
The probability of obtaining a head on the next toss of a coin after obtaining two heads from two tosses is still 1/2 or 50%.
This is because each coin toss is an independent event, and the outcome of one toss does not affect the outcome of another toss. Therefore, the fact that two heads have been obtained in the previous two tosses does not change the probability of obtaining a head on the next toss, which is always 1/2 or 0.5 for a fair coin.
What is probability?Probability is the likelihood of an event occurring. The values are between 0 and 1. The closer it is to 1, the greater the probability.
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Several students measured a 25mm long nail and wrote the measurements shown in the table below. Whose measurement had the greatest percent error?
Answers
the twelfth term of the arithmetic sequence whose first term is 32 and whose common difference is -4.
Answers
The twelfth term of the arithmetic sequence is -12.
To find the twelfth term of an arithmetic sequence, we can use the formula:
term = first term + (n - 1) * common difference
In this case, the first term (a) is 32 and the common difference (d) is -4. We want to find the twelfth term, so n = 12.
Plugging the values into the formula, we have:
term = 32 + (12 - 1) * (-4)
= 32 + 11 * (-4)
= 32 + (-44)
= -12
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Express in simplest form:
10yi² - 9x
Answers
Answer:
\(-9x-10y\)
Step-by-step explanation:
\(10yi^2-9x \\ \\ =10y(-1)-9x \\ \\ =-9x-10y\)
least common denominator of 1/3 and 7/12
Answers
Least common denominator is the least common multiple of the given denominators.
Find the least common multiple of 3 and 12, this way:
The least common multiple of 3 and 12 is 12, which means that the least common denominator of 1/3 and 7/12 is 12.
Use the drop-down menu to complete the following sentence. The value of the expression 3^-4×3^-5 is
Answers
3^-9 (0.0000508...)
Explanation:
3^-4 • 3^-5
Since the base is the same, add exponents
3^ -4 + -5
3^-9
How many whole numbers lie between 237 and 143?
Answers
Answer:
93
Step-by-step explanation:
143 —————>233 = 90
233 —————>237 = 3
90 + 3 = 93
The number of the whole numbers lying between 237 and 143 will be 94.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Zero, a consistently positive number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive values are negative in value. The set of integers is frequently represented in mathematical notation by the big bold letters Z.
The number of the whole numbers lying between 237 and 143 will be given by the subtraction of the numbers from 237 to 143. Then we have
⇒ 237 - 143
⇒ 94
The number of the whole numbers lying between 237 and 143 will be 94.
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If HJ = 7x-27, find the value of x.
Answers
Answer:
x = HJ/7 + 27/7
Step-by-step explanation:
Hope this helps!
The value of x is \(\frac{HJ}{7}+\frac{27}{7}\)
What is Mathematical function ?
Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.
In other words the function represents the graph between x and y that is for each value of x there exist one value of y but here there is no restriction in values of y that is y can have infinity values.
Here, the expression given as HJ = 7x-27 and it is to find the value of x which is done by adding 27 both the sides and dividing both the side by 27 :
\(\begin{aligned} HJ &= 7x-27\\HJ+27&=7x\\x&=\frac{HJ}{7}+\frac{27}{7}\end{aligned}\)
Therefore, the value of x is \(\frac{HJ}{7}+\frac{27}{7}\)
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23. Match the figure with the number of unit cubes that would be needed to build each figure. Not every number of unit cubes will be used.
Answers
We can see here that:
Figure 1 - 7 unit cubes.Figure 2 - 6 unit cubes.What is cube?A cube is a three-dimensional geometric shape that has six square faces, all of which are congruent (equal in size) and perpendicular to each other. It is a special type of rectangular prism where all edges have the same length, and all angles are right angles (90 degrees).
Cubes are commonly encountered in everyday life, such as dice, boxes, and Rubik's Cube puzzles. They have precise and uniform geometry, making them useful in various mathematical and engineering applications.
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Obtain numerical solution of the ordinary differential equation y' = 3t−10y²
with the initial condition: y(0)= −2 by Euler method using h=0.5 Perform 3 steps.
Solution of all problems MUST contain general formula and all intermediate results. Perform numerical computations using 4 digits after decimal point.
Answers
The Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.
To solve the ODE using the Euler method, we divide the interval into smaller steps and approximate the derivative with a difference quotient. Given that the step size is h = 0.5, we will perform three steps to obtain the numerical solution.
we calculate the initial condition: y(0) = -2.
1. we evaluate the derivative at t = 0 and y = -2:
y' = 3(0) - 10(-2)² = -40
Next, we update the values using the Euler method:
t₁ = 0 + 0.5 = 0.5
y₁ = -2 + (-40) * 0.5 = -22
2. y' = 3(0.5) - 10(-22)² = -14,860
Updating the values:
t₂ = 0.5 + 0.5 = 1
y₂ = -22 + (-14,860) * 0.5 = -7492
3. y' = 3(1) - 10(-7492)² ≈ -2.2395 x 10^9
Updating the values:
t₃ = 1 + 0.5 = 1.5
y₃ = -7492 + (-2.2395 x 10^9) * 0.5 = -1.1198 x 10^9
Therefore, after performing three steps of the Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.
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using the curve fitting technique, determine the cubic fit for the following data. use the matlab commands polyfit, polyval and plot (submit the plot with the data below and the fitting curve).
Answers
The MATLAB commands polyfit, polyval and plot data is used .
To determine the cubic fit for the given data using MATLAB commands, we can use the polyfit and polyval functions. Here's the code to accomplish that:
x = [10 20 30 40 50 60 70 80 90 100];
y = [10.5 20.8 30.4 40.6 60.7 70.8 80.9 90.5 100.9 110.9];
% Perform cubic curve fitting
coefficients = polyfit( x, y, 3 );
fitted_curve = polyval( coefficients, x );
% Plotting the data and the fitting curve
plot( x, y, 'o', x, fitted_curve, '-' )
title( 'Fitting Curve' )
xlabel( 'X-axis' )
ylabel( 'Y-axis' )
legend( 'Data', 'Fitted Curve' )
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The complete question is :
Using the curve fitting technique, determine the cubic fit for the following data. Use the MATLAB commands polyfit, polyval and plot (submit the plot with the data below and the fitting curve). Include plot title "Fitting Curve," and axis labels: "X-axis" and "Y-axis."
x = 10 20 30 40 50 60 70 80 90 100
y = 10.5 20.8 30.4 40.6 60.7 70.8 80.9 90.5 100.9 110.9
A restaurant manager recorded the number of orders for each of the four drinks available. The results are shown in the table below.
Determine whether the statement below is true or false
About 16 of the next 50 drink orders will be for water.
PLEASE HURYY 25 POINTS
Answers
Answer:
Answer: about 14
Work Shown:
Add up the values in the table:
170+135+150+145 = 600
There are 600 orders in total. Of those 600, we have 135+145 = 280 that are for lemonade or for orange juice. This means roughly 280/600 = 0.4667 of all the drinks are either lemonade or orange juice.
Assuming this ratio keeps up, we can multiply 0.4667 with 30 to get
30*0.4667 = 14.001 which rounds to 14
This represents the estimated number of drinks in the next 30 orders that are either lemonade or orange juice.
THIS IS NOT MY WORK SO DON"T COME FOR ME PLEASE!!!!!!!!!!!!
Step-by-step explanation:
Mark me brainliest please
PLEASE HELP I WILL GIVE 100 POINTS!
order the numbers from least to greatest pi, -3, sqrt 49 , sqrt 9
Answers
The order of the numbers from least to greatest (pi, -3, sqrt 49 , sqrt 9) is -3.00 < sqrt 9 < pi < sqrt 9
How can the number be arranged?The concept that will be used here is ordering. When you put a list of numbers in order, you rank them from least to greatest or greatest to least. An effective tool for comparing and sorting numbers is a number line. From left to right, we read a number line, with the numbers nearer to the left having lower values.
The given numbers can be converted to decimals so as to be able to arange them in the required order which can be done as :
pi= 3.147= 3.15
-3= -3.00
sqrt 49=7.00
sqrt 9 =3.00
Therefore,-3.00 < sqrt 9 < pi < sqrt 9
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pls help i will give you thanks, 5 star rating and brainlist
An electronics store keeps track of the number of computers sold. Last month, 30% of the computers were notebooks. If the store sold 390 notebooks last month, what was the total number of computers sold in the same month?
Answers
Answer: 819
Step-by-step explanation: GL
Choose Yes or No to tell if a rectangle with the given dimensions has an area of 3/10 square inch. 3/4in. × 2/5 in. 2/5 in. × 5/6 in. 1/10 in. × 1/5 in. /in. × 3/5 in.
Answers
Answer:
ANSWER yes no no yes
Step-by-step explanation:
Answer:
yes no no yes
Step-by-step explanation:
Rewrite the subtraction problem as an addition expression using the additive inverse. -9.7 - (-18,6)
Answers
Answer:
-9.7 + 18.6
Step-by-step explanation:
Given the expression:
-9.7 - (-18,6)
The additive inverse of -18.6 is 18.6
The product of teo negative sign will also give a positive sign, hence:
-9.7 - (-18,6) = -9.7 + 18,6
-9.7 + 18,6 = 18.6 - 9.7
18.6 - 9.7 = 8.9
Hence the expression can also be written as -9.7 + 18.6 with 8.9 being the solution