The proportional relationship that best represent the machine labeling y cans in x minutes is given as follows:
y = 400x.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
A machine can label 4,000 cans in 10 minutes, hence the constant is given as follows:
k = 4000/10
k = 400.
Hence the proportional relationship that best represent the machine labeling y cans in x minutes is given as follows:
y = 400x.
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Marip has a piece of string. He cuts off six -eights of its length. How much is left?
Answer:
if marip has a piece of string. He cuts off six-eights of it's length. how much is left it's 2
The coach of the Miami Heat has a player report due Tuesday. He wrote 1/8 of the report on Saturday. He wrote 1/2 of the report on Sunday. What part of the report does the coach have left to write?
Answer:
Step-by-step explanation:
To find out the part of the report that the coach has left to write, we first need to find out how much of the report he has already written. On Saturday, he wrote 1/8 of the report, and on Sunday, he wrote 1/2 of the report.
So, the total part of the report that the coach has written is:
1/8 + 1/2 = 5/8
Now, we subtract this fraction from 1 to find the part of the report that the coach still has to write.
1 - 5/8 = 3/8
So, the coach has 3/8 of the report left to write.
What reasons can be given for the steps in solving the equation for x ?
The reasons for the steps are given below.
The value of x is -4.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
-2(4x + 3) = 26
[ The distributive property of multiplication over addition ]
-2(4x) + -2(3) = 26
-8x - 6 = 26
[ Adding 6 on both sides ]
-8x - 6 + 6 = 26 + 6
-8x = 32
[ Divide -8 into both sides ]
-8x/-8 = 32/-8
x = -4
Thus,
The reasons for the steps are given above.
x = -4
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Consider the exponential function E(t)=6⋅1.02^t where t is measured in seconds. Find the amount of time it takes for E to increase by 10%.
it takes ____ seconds (give answer in exact form)
The amount of time it takes for E to increase by 10%. it takes 4.81 seconds.
What is exponential function?A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth.
Given that,
Let the amount of time it takes for E to increase by 10% be x.
Thus, after (t + x) seconds, E is increased by 10%.
E(t + x) = E(t) + 10% of E(t)
= E(t) + 10/100 E(t)
= E(t) + 0.1 E(t)
E(t + x) / E(t) = 1.1
As,
[tex]E(t) = 6(1.02)^t\\\\E(t + x) = 6(1.02)^{t + x}\\\\\frac{E(t + x)}{E(t)} = \frac{6(1.02)^{t + x}}{6(1.02)^{t}}\\\\\frac{E(t + x)}{E(t)} = (1.02)^{t + x - t}\\\\(1.02)^x = 1.1[/tex]
Taking log on both sides:
x = log (1.1) / log (1.02)
x = 4.81 seconds.
Hence, the amount of time it takes for E to increase by 10%.
it takes 4.81 seconds.
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help me please!!!!!!!
Answer:
see explanation
Step-by-step explanation:
W(2) = 5 , means
a puppy of 2 months has a weight of 5 pounds.
W(6) > W(4) , means
a puppy at 6 months has a greater weight than a puppy of 4 months
W(12) = W(15) , means
a puppy at 12 months is the same weight as a puppy of 15 months
What is the volume of the pyramid below?
The Volume of the given pyramid is 66.7[tex]cm^{3}[/tex].
What is Volume?Volume is defined as the amount of space occupied by any three-dimensional objects. The unit of volume for any solid objects is measured using cubic units.
In this pyramid, length = 5cm, width = 5cm and height = 8cm.
Volume of pyramid is given by , V= [tex]\frac{1}{3}*l*w*h.[/tex]
V=[tex]\frac{1}{3} *5*5*8[/tex]
= [tex]\frac{200}{3}[/tex]
V=66.7[tex]cm^{3}[/tex]
Hence, the volume of the given pyramid is 66.7[tex]cm^{3}[/tex].
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Michaela makes $5.50 per hour at her job, How much does she make in an average eight-hour day?
Answer:
$44
Step-by-step explanation:
What we know:
$5.50 = 1 hour
average day's work = 8 hours
Question: How much money for eight hours?
To figure this out, 5.50 and multiply it by 8.
This gives us 44.
So, Michaela makes $44 dollars in an average eight-hour day.
Zahar is planning to construct a fence for his garden and wants to estimate the total cost for the fencing. He represents his garden in a coordinate
plane in which each unit represents 2 feet.
The cost of fencing is $7.79 per foot. Find the perimeter of the garden and the total cost of fencing. For help, see this worked example
Type the correct answer in each box. Use numerals instead of words.
The perimeter is
The cost of the fencing is $
feet.
Answer:72 feet
$560.88
HELP WHICH ONE IS IT
Step-by-step explanation:
try the suggested solution; the lines and their inequalities are shown with the same colours. Points A[0;-1] and B[0;-3] are interception points, according to them to define equations of the lines.
Nine people are evenly, sharing 13 burgers how many burgers should each person get?
Step-by-step explanation:
Since we have 9 people and 13 burgers, the problem set up is dividing 13 burgers between 9 people
[tex] \frac{13 \: burgers}{9 \: people} [/tex]
= 1.44 burgers per person
Let f(x) = -3x + 2, g(x) = g(x)=x/5 h(x)= -2x^2+9 j(x)= 5-x
Find each value or expression.
I need help on # 5, which is #12, # 7, which is# 13, and # 9, which is 14. See attached photo below
Let f(x)=-3x+2, g(x)=5 h(x) = -2x+9, and j(x) = 5-x. Find each value or expression.
1. (f +j)(3) = -5
3. (h + g)(-5) = 10
5. (f + g)(2) = 1
7. (g f)(-5) = 22
9. f((5)) = -11
How did we get the values?1. (f + j)(3) = f(3) + j(3) = (-3(3)+2) + (5-3) = -7 + 2 = -5
3. To find the value of (h + g)(-5), we need to first add the functions h(x) and g(x), then evaluate the result at x = -5.
h(x) = -2x + 9
g(x) = 5
h(x) + g(x) = -2x + 9 + 5 = -2x + 14
So, (h + g)(-5) = -2(-5) + 14 = 10.
The answer is 10.
5. To find the value of (f + g)(2), we need to first add the functions f(x) and g(x), then evaluate the result at x = 2.
f(x) = -3x + 2
g(x) = 5
f(x) + g(x) = -3x + 2 + 5 = -3x + 7
So, (f + g)(2) = -3(2) + 7 = 1.
The answer is 1
7. (To find the value of (g + f)(-5), we need to first add the functions g(x) and f(x), then evaluate the result at x = -5.
f(x) = -3x + 2
g(x) = 5
f(x) + g(x) = -3x + 2 + 5 = -3x + 7
So, (g + f)(-5) = -3(-5) + 7 = 22.
The answer is 22
9. f(5) = -3(5) + 2 = -13 + 2 = -11
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Every time you have your cholesterol measured, the measurement may be slightly different due to random fluctuations and measurement error. Suppose that for you, the population of possible cholesterol measurements if you are healthy has a mean of 200 and a standard deviation of 10. Further, suppose you know you should get concerned if your measurement ever gets up to the 97th percentile. What level of cholesterol (in mg/dl) does that represent? (You may need to use Table 8.1. Round your answer to two decimal places.)
For the given normal distribution, The 97th percentile of the cholesterol measurements is 218.8 mg/dL.
What is normal distribution ?The normal distribution, also known as the Gaussian distribution or bell curve, is a continuous probability distribution that is symmetrical around its mean value. It is a widely used distribution in many fields, including finance, engineering, and the natural sciences, due to its important properties, such as the central limit theorem.
To find the 97th percentile of a normal distribution with mean 200 and standard deviation 10, we need to find the value x such that P(X < x) = 0.97, where X is a random variable representing the cholesterol measurement.
This value can be found using a standard normal distribution table (or Z-table), which gives the cumulative probabilities for a standard normal distribution with mean 0 and standard deviation 1.
We first standardize our random variable X by subtracting the mean and dividing by the standard deviation:
Z = (X - 200) / 10
So,
P(X < x) = P((X - 200) / 10 < (x - 200) / 10)
= P(Z < (x - 200) / 10) = 0.97.
Using the Z-table, we can find the Z-score corresponding to a cumulative probability of 0.97: Z = 1.88.
Finally, we can convert back to the original units for X by multiplying the Z-score by the standard deviation and adding the mean:
x = 10 * 1.88 + 200 = 218.8
So, the 97th percentile of the cholesterol measurements is 218.8 mg/dL.
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A square plastic tarp has sides that are 13 meters long. What is the tarp’s perimeter?
What is the rise-over-run value for the relationship represented in the graph?
1/35
2/17
35
40
Answer:
Below
Step-by-step explanation:
Pick any two points on the graph say 2,70 and 3 , 105
rise is 70 to 105 = 35 run is 2 to3 = 1
rise/run = 35/1 = 35
Answer:
35
Step-by-step explanation:
gradient= rise/run
= 70-35/2-1
= 35
Change from base 4 to base 10. Show your thinking and solve each problem in 2 ways.
13 v4
303 v4
132 v4
Answer: PLS CROWN ME / brainly :)
13^4 in base 4:
Method 1: Convert 13^4 to base 10 using powers of 4.
13 in base 4 = 1 * 4^1 + 3 * 4^0 = 1 * 4 + 3 * 1 = 7
So, 13^4 in base 4 = (1 * 4^4 + 3 * 4^3) = (1 * 256 + 3 * 64) = 256 + 192 = 448.
Method 2: Convert 13 to base 10 and then find (13 in base 10)^4
13 in base 4 = 1 * 4^1 + 3 * 4^0 = 1 * 4 + 3 * 1 = 7
So, (13 in base 10)^4 = 7^4 = 2401
So, 13^4 in base 10 = 2401.
303^4 in base 4:
Method 1: Convert 303^4 to base 10 using powers of 4.
303 in base 4 = 3 * 4^2 + 0 * 4^1 + 3 * 4^0 = 3 * 16 + 0 * 4 + 3 * 1 = 51
So, 303^4 in base 4 = (3 * 4^6 + 0 * 4^5 + 3 * 4^4) = (3 * 4096 + 0 * 1024 + 3 * 256) = 12288 + 768 = 13056.
Method 2: Convert 303 to base 10 and then find (303 in base 10)^4
303 in base 4 = 3 * 4^2 + 0 * 4^1 + 3 * 4^0 = 3 * 16 + 0 * 4 + 3 * 1 = 51
So, (303 in base 10)^4 = 51^4 = 132651.
So, 303^4 in base 10 = 132651.
132^4 in base 4:
Method 1: Convert 132^4 to base 10 using powers of 4.
132 in base 4 = 1 * 4^2 + 3 * 4^1 + 2 * 4^0 = 1 * 16 + 3 * 4 + 2 * 1 = 22
So, 132^4 in base 4 = (1 * 4^8 + 3 * 4^7 + 2 * 4^6) = (1 * 65536 + 3 * 16384 + 2 * 4096) = 65536 + 49152 + 8192 = 19880.
Method 2: Convert 132 to base 10 and then find (132 in base 10)^4
132 in base 4 = 1 * 4^2 + 3 * 4^1 + 2 * 4^0 = 1 * 16 + 3 * 4 + 2 * 1 = 22
So, (132 in base 10)^4 = 22^4 = 10648.
So, 132^4 in base 10 = 10648.
Step-by-step explanation:
Answer:10101
Step-by-step explanation:
The quantity (in pounds) of a gourmet ground coffee that is sold bya coffee company at a price of p dollars perpound is Q = f(p).
(a) What is the meaning of the derivative f '(8)?
therate of change of the price per pound with respect to the quantityof coffee sold when the price is $8 per pound
theamount of coffee needed to be sold to charge $8 perpound
noneof these are correct
therate of change of the price per pound with respect to the quantityof coffee sold
therate of change of the quantity of coffee sold with respect to theprice per pound when the price is $8 per pound
The meaning of the derivative f'(8) is the rate of change of the quantity of coffee sold with respect to the price per pound when the price is $8 per pound.
It represents how the quantity of coffee sold changes with respect to changes in the price per pound, when the price per pound is $8.
In mathematics, the derivative of a function is a measure of how the value of the function changes with respect to changes in one of its variables. In other words, the derivative gives the rate of change of a function with respect to its independent variable.
The derivative can be thought of as the slope of the tangent line to the function at a particular point. It can be calculated using limits, differential calculus, or other methods. The derivative is represented by the symbol "d/dx" for a function of a single variable x, where d/dx represents the rate of change of the function with respect to x.
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Help please I dont understand thank uuuu
A. The velocities are given as follows:
Devron: 45 miles per hour.Avery: 60 miles per hour.B. The graph is given by the image presented at the end of the answer.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
From the table, Devron's rate is given as follows:
k = 180/4
k = 45 miles per hour.
Hence the equation is of:
y = 45x.
For Avery's equation of y = 60x, the rate is of 60 miles per hour.
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help asap PLEASE SOMEBODY TELL ME THE CODE TO THIS ASSIGNMENT.
Answer:
Is there meant to be a picture? I can still try to help if you explain in the comment under this, but I think the picture didn't submit fully!! :)
I'll edit the answer when you edit the question to add the full image
Step-by-step explanation:
when the two countries did not specialize, the total production of chinos was 23 million pairs per day, and the total production of pistachios was 68
The total production of both countries when they did not specialize was 91 million / day.
Given the information that when the two countries did not specialize, the total production of chinos was 23 million pairs per day, and the total production of pistachios was 68, we can calculate the total production of both countries with the following equation:
Total Production = Chinos (23 million pairs / day) + Pistachios (68 million / day)
Therefore, the total production of both countries when they did not specialize was 91 million / day. This can be calculated as:
Total Production = 23 million pairs + 68 million = 91 million / day
Hence, the total production of both countries when they did not specialize was 91 million / day. This calculation can be represented by the following formula:
Total Production = Chinos (x) + Pistachios (y)
Where x = 23 million pairs and y = 68 million.
Therefore, the total production of both countries when they did not specialize was 91 million / day.
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Oliver worked 9 months out of the year. What percent of the year did he work?
Answer:
75%
Step-by-step explanation:
We know
A year has 12 months
Oliver worked 9 months out of the year
What percent of the year did he work?
We take
9 divided by 12, time 100 = 75%
So, he works 75% of the year.
A sports statistician was interested in the relationship between game attendance (in thousands) and the number of wins for baseball teams. Information was collected on several teams and was used to obtain the regression equation y = 4.9x + 15.2, where x represents the attendance (in thousands) and y is the predicted number of wins. What is the predicted number of wins for a team that has an attendance of 17,000?
A. 83.3 wins
B. 98.5 wins
C. 258.4 wins
D. 263.3 wins
Notably, this response comes the nearest to choice A (83.3 wins). The right response is thus A.
What kind of a equation is that?A mathematical statement that shows the equivalence of two mathematical equations is what a solution in algebra means. For instance, the two numbers 3x + 5 and 14 make up the expression 3x + 5 = 14, which is separated by the sign "equal."
We can change x to 17 in the regression model y = 4.9x + 15.2 and calculate for y to get the number of victories for a squad with 17,000 spectators: y = 4.9(17) + 15.2 = 83.5
Consequently, 83.5 victories are expected for a squad with a 17,000-fan attendance.
To predict the number of wins for a team with an attendance of 17,000, we can substitute x = 17 into the regression equation y = 4.9x + 15.2 and solve for y:
y = 4.9(17) + 15.2 = 83.5
Therefore, the predicted number of wins for a team with an attendance of 17,000 is 83.5 wins.
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There is a harvest festival each year on the planet Bozone. During that time, most of the Bozone residents sit down to rejoice and eat roast snig. Past history shows that a reasonable price-demand equation is: p= 300 – 20x where x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Bozat. a. To sell an additional kilogram of snig, how much does the price need to decrease? Price needs to decrease by ______Bozats. b. Solve the price-demand equation for æ in terms of p. x =
x = (300 - p) / 20
According to the equation, the quantity of kilos (x) of snig that will be sold is equal to the difference between 300 and p, divided by 20.
The price-demand connection for roast snig at the harvest festival on the planet Bozone can be represented by the equation p=300 - 20x. The formula specifies that 300 minus 20 times the number of kilogrammes (x) of snig sold is the price per kilogramme of snig (p) in the local currency (Bozats).
Using this equation, one can determine how much of the price must be reduced in order to sell 1 extra kilogramme of snig. The equation can be rewritten to solve for x in terms of p in order to accomplish this. This can be done by taking 300 off of both sides of the equation, multiplying both sides by 20, and then solving for x = (300 - p) / 20. This rearrangement has the effect of dividing the number of kilogrammes of snig that will be sold in terms of price per kilogramme by the difference between 300 and p. This equation can be used to calculate the price reduction required to sell an extra kilogramme of snig.
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find a fraction equal to value of the decimal $0.23\overline{72}$. give your answer in simplest terms.
The fractional value for [tex]$0.23\overline{72}$[/tex] is 261 / 1100.
What is fraction?
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
The decimal value is given as -
[tex]$0.23\overline{72}$[/tex]
To convert [tex]$0.23\overline{72}$[/tex] repeating into a fraction, begin writing this simple equation -
[tex]n=$0.23\overline{72}$[/tex] ..... (1)
Notice that there are 2 digits in the repeating block (72), so multiply both sides by 1 followed by 2 zeros, i.e., by 100.
[tex]100n=$0.2372\overline{72}$[/tex] .... (2)
Now subtract equation 1 from equation 2 to cancel the repeating block (or repetend) out.
[tex]100n-n=$0.2372\overline{72}$ - $0.23\overline{72}$[/tex]
[tex]99n = 23.49[/tex]
n = 23.49 / 99
n = 2349 / 9900
n = 261 / 1100
Therefore, the fraction is 261 / 1100.
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A random sample of 119 students were asked if they lived on campus or off campus. The following
contingency table gives the two-way classification of the responses.
Step-by-step explanation:
a probability is always the ratio of
desired cases / totally possible cases
the "group" is the totally possible cases = 119.
we pick 1 student.
female AND off-campus.
there are only 20 students that satisfy that criteria.
the probabilty for this event is then
20/119 = 0.168067227... ≈ 0.168
male AND on-campus.
there are 34 students that satisfy that criteria.
the probability for this event is then
34/119 = 0.285714286... ≈ 0.286
off-campus OR male.
there are 20+11 = 31 students off-campus.
and there are 34+11 = 45 male students.
the overlapping number of 11 students we need to count only once.
so, there are 20+11+34 = 65 students off-campus or male (incl. the on-campus males, as this is an or-criteria).
the probabilty for this event is then
65/119 = 0.546218487... ≈ 0.546
on-campus OR female.
there are 54+34 = 88 students on-campus.
and there are 54+20 = 74 female students.
the overlapping number of 54 students we need to count only once.
so, there are 54+34+20 = 108 students on-campus or female.
the probabilty for this event is then
108/119 = 0.907563025... ≈ 0.908
Find a basis {p(x),q(x)} for the vector space {f(x) € P3[x] | f'(1) = f(1)} where P3[x] is the vector space of polynomials in with degree less than 3. p(x) = ,q(x) = =
A basis {p(x),q(x)} for the vector space {f(x) € P3[x] | f'(1) = f(1)} where P3[x] is the vector space of polynomials in with degree less than 3. p(x) = ,q(x) = is {p(x) = x² - 1, q(x) = x² + x - 2}
Polynomial Space Basis SearchThe vector space {f(x) € P3[x] | f'(1) = f(1)} consists of polynomials of degree less than 3 with the property that their derivative at x = 1 is equal to the polynomial itself evaluated at x = 1. To find a basis for this space, we can start by finding a set of two polynomials that satisfy this property, and that are linearly independent.
One possible choice for p(x) is x² - 1, and one possible choice for q(x) is x² + x - 2. These polynomials satisfy the required property (i.e., their derivatives at x=1 are equal to the polynomials themselves evaluated at x=1), and they are linearly independent because their leading terms (x² in both cases) are distinct.
Thus, {p(x) = x² - 1, q(x) = x² + x - 2} is a basis for the vector space {f(x) € P3[x] | f'(1) = f(1)}.
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When making chocolate chip cookies, Jesse uses 2 1/4 cups of flour for every 5 dozen cookies. Enter the number of cups of flour Adriana uses for 10 dozen cookies. Show your work.
HELP ASAP
For all x≠±y , x/(x+y)+y/(x−y)= ?
The value of the equation is A = ( x² + y² ) / ( x² - y² )
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 equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = x / ( x + y ) + y / ( x - y )
On simplifying the equation , we get
Multiply by the LCM , we get
x / ( x + y ) + y / ( x - y ) = [ x ( x - y ) + y ( x + y ) ] / ( x + y ) ( x - y )
where the denominator ( x + y ) ( x - y ) = ( x² - y² )
Substituting the values in the equation , we get
x / ( x + y ) + y / ( x - y ) = [ x² - xy + xy + y² ] / ( x² - y² )
On further simplification , we get
A = ( x² + y² ) / ( x² - y² )
Hence , the equation is A = ( x² + y² ) / ( x² - y² )
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Please help I will give Brainly
Answer:
Width of the rectangle is 19 Units
Step-by-step explanation:
24 = x(x-5)
24 = [tex]x^{2}[/tex] - 5x
[tex]x^{2}[/tex] - 5x - 24 = 0
x(x-24) + 1(x-24) = 0
(x-24)(x+1)=0
x= -1 , 24
x = 24 units
x - 5 = 19 units
Step-by-step explanation:
If you look at the picture above you'll see that after connecting the length, width and area you get a quadratic equation which I solved using formula method, but any method can be used to solve the quadratic equation. Also at the end you arrive at two answers which of course you select the positive one.
• Question 8: An order for Maalox® reads like this: Take 5mL po 1hr a.c., 1hr p.c., and h.s.
How much does the patient take in one day?
Does anyone have full complete answer for this question? Thanks.
The patient takes 15mL of of Maalox® in one day.
How much does the patient take in one day?From the question, we have the following parameters that can be used in our computation:
Take 5mL po 1hr a.c., 1hr p.c., and h.s.
The order says:
Take 5mL of Maalox® 1 hour before meals (a.c.), 1 hour after meals (p.c.), and at bedtime (h.s.).Since there are three meals in a day (breakfast, lunch, and dinner),
Then the patient takes 5mL of Maalox® three times a day.
So, the patient takes 5mL * 3 = 15mL in one day.
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Please answer this.
Help Me
1. The two equations have different slopes.
2. The two equations have different intercepts.
3. The system of equations has one solution.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change of the linear function.The intercept b represents the initial amount.The number of solutions for a system of two linear functions is defined as follows:
Zero solutions: same slope and different intercept.One solution: different slopes.Infinite solutions: same slope and same intercept.More can be learned about linear functions at https://brainly.com/question/24808124
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