Answer:
The correct option is;
Both spreads are best described by the standard deviation
Step-by-step explanation:
The given information are;
, College High School
High, 20 20
Low, 6 3
Q₁, 8 5.5
Q₃, 18 16
IQR, 10 10.5
Median, 14 11
Mean, 13.3 11
σ, 5.2 5.4
Checking for outliers, we have
College
Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7
Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33
For high school
Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25
Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75
Therefore, there are no outliers and the data is representative of the population
From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2
The difference between the low and the high is also approximately 3 standard deviations
Therefore the college spread is best described by the standard deviation
Similarly for the high school students, the IQR is approximately two standard deviations, the difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4
Therefore the high school spread is also best described by the standard deviation.
Answer:
Both spreads are best described by the standard deviation
Step-by-step explanation:
Linda sells cookies for $2 and hamburgers for $3. She sold 25 items and made $60. How many cookies did she sell ?
Answer:
10 cookies
Step-by-step explanation:
10 x 3 = 30
15 x 2 = 30
30 + 30 = $60
The number of cookies sold by Linda will be 10 cookies.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Linda sells cookies for $2 and hamburgers for $3. She sold 25 items and made $60.
The number of cookies sold by Linda will be calculated as below:-
10 x 3 = 30
15 x 2 = 30
30 + 30 = $60
Therefore, the number of cookies sold by Linda will be 10 cookies.
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The function f is given in three equivalent forms.
Which form most quickly reveals the y-intercept?
Choose 1 answer:
f(x) = -3(x - 2)2 + 27
© f(x) = -3(x.+ 1)(x – 5)
© f(x) = -3x2 + 12x + 15
What is the y-intercept?
y-intercept = (0,
Answer:
The third function because the y-intercept is (0, 15)
Step-by-step explanation:
There were 35 students in a class. They were given math books (each priced at $0.55) and other books the total value of which was n dollars. How much money was spent to provide the students with all these books.
Answer:
$19.25
Step-by-step explanation:
Answer:
19.25+n or n+19.25 you have to add it not multiply
Step-by-step explanation:
Find the measure of one exterior angle in each polygon.
Answer:
1-45 degrees
2-72 degrees
Step-by-step explanation:
exterior angle of a polygon = 360 ÷ number of sides
a shape has 8 sides is an octagon the measure of one angle = 360/8=45
a shape has 5 sides is pentagon the measure of exterior angles=360/5=72
BRAINLIEST, 5 STARS & THANKS IF ANSWERED CORRECTLY
Find the 22nd term:
10.5, 11, 11.5, 12, 12.5...
Answer:
21
Step-by-step explanation:
This is an arithmetic sequence with a₁ (first term) = 10.5 and d (common difference) = 11 - 10.5 = 0.5
Explicit formula for arithmetic sequences: aₙ = a₁ + (n - 1) * d
Therefore, aₙ = 10.5 + (n - 1) * 0.5 = 0.5n + 10 so a₂₂ = 0.5 * 22 + 10 = 21.
Hi there!! (✿◕‿◕)
⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐
1.) 10.5
2.) 11
3.) 11.5
4.) 12
5.) 12.5
6.) 13
7.) 13.5
8.) 14
9.) 14.5
10.) 15
11.) 15.5
12.) 16
13.) 16.5
14.) 17
15.) 17.5
16.) 18
17.) 18.5
18.) 19
19.) 19.5
20.) 20
21.) 20.5
22.) 21
Hope this helped!! ٩(◕‿◕｡)۶
PLZ HELP ME NEED THIS FAST WILL GIVE BRAINLIEST
Answer: l = 60 ft and w = 30 ft
P = 2(l + w)
180 = 2(l + w)
Let x = width of his yard
Let 2x = length of his yard
[tex]180=2(2x+x)[/tex]
[tex]\frac{180}{2}=\frac{2(2x+x)}{2}[/tex]
[tex]90=3x[/tex]
[tex]\frac{90}{3} =\frac{3x}{3}[/tex]
[tex]x=30ft[/tex]
l = 2x = 30(2) = 60 ft
Check:
180 = 2(l + w)
180 = 2(60 + 30)
180 = 2(90)
180 = 180
LS = RS
Distance between points on a coordinate plane=(y2−y1)2+(x2−x1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ distance between pointson a coordinate plane = ( y 2 − y 1 ) 2 + ( x 2 − x 1 ) 2 Find the distance when y2=8, y1=4, x2=6, y 2 = 8 , y 1 = 4 , x 2 = 6 , and x1=7 x 1 = 7 . A. 4.12 B. 6.95 C. 5.66 D. 3.87
Answer:
A. 4.12Step-by-step explanation:
Given the formula for calculating the distance between two points expressed as D = [tex]\sqrt{(y_2-y_1)^{2} + x_2-x_1)^{2} }[/tex]
Given the points y₂ = 8, y₁ = 4, x₂ = 6 and x₁ = 7, to determine the distance we will substitute this values into the given formula as shown;
[tex]D = \sqrt{(8-4)^{2} + (6-7)^{2} }\\\\D = \sqrt{(4)^{2} + (-1)^{2} }\\\\D = \sqrt{16 + 1 }\\\\\\\\D = \sqrt{17} }\\\\D = 4.12[/tex]
Choose the best estimate for the multiplication problem below.
20.82
6.94
A. 140
B. 190
C. 110
Answer:
140
Step-by-step explanation:
20.82 = 21 when rounded to the nearest whole number
6.94 = 7
21*7 = 147
The best estimate is 140
What is a possible value of an integer that is more than 8 units from 20 but less than or equal to 29
Answer:
28 or 29
Step-by-step explanation:
8 more than 20 is 28 and it is less than 29
9 more than 20 is 29 and it is equal to 29
Explain how to get the volume of this figure
Answer:
350 meters cubed.
Step-by-step explanation:
If you visualize it, there are two rectangular prisms: one flat one on the top, and one large one on the bottom.
The width of the top one is 5 meters. The length is 7 meters. The height is 8 - 5 = 3 meters. So, one prism has a volume of 5m x 7m x 3m.
The width of the bottom one is 7 meters. The length is 7 meters. The height is 5 meters. So, the bottom prism has a volume of 7m x 7m x 5m.
(5 * 7 * 3) + (7 * 7 * 5)
= (35 * 3) + (49 * 5)
= 105 + 245
= 350
So, the volume of the figure is 350 meters cubed.
Hope this helps!
Identify the glide reflection rule to map ΔABC onto ΔA′B′C′ in the given figure.
Multiple choice:
(A.) Translation: (x, y) → (x, y – 4); Reflection across the x-axis
(B.) Translation: (x, y) → (x + 4, y); Reflection across the x-axis
(C.) Translation: (x, y) → (x, y + 4); Reflection across the x-axis
(D.) Translation: (x, y) → (x, y – 4); Reflection across the y-axis
Answer:
Answer D
Step-by-step explanation:
First of all, you see that the shape moves down 4 units, which means that (x, y - 4) works. Then, you see it being flipped over vertically, which means it's going over the y-axis. You see that the last answer is the one that works.
PLS ANSWER ASAP Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Which equation describes the line graphed above? A. -4x-5 B. -1/5x-4 C. -5x-4 C. -4x-1/5
The equation is -1/5x-4 represented by the graph. The correct option is B.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Let us check the equation -1/5x-4. The line goes down one and turns right 5. The Slope is -1/5x and the y-intercept is at -4. The graph of the equation is attached with the answer below.
Hence, option B is correct.
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Which table of values will generate this graph? On a coordinate plane, points are at (negative 2, 0), (0, 1), (0, negative 4), and (3, 0). A 2-column table with 2 rows. Column 1 is labeled x with entries negative 4, 1. Column 2 is labeled y with entries negative 2, 3. A 2-column table with 2 rows. Column 1 is labeled x with entries negative 2, 3. Column 2 is labeled y with entries negative 4, 1. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 0, 1. Column 2 is labeled y with entries 0, negative 2, 3, 0. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 0, 3. Column 2 is labeled y with entries 0, negative 4, 1, 0.
Answer:
Option D.
Step-by-step explanation:
The given points are (-2,0), (0,1), (0,-4) and (3,0).
In each ordered pair first element is x-coordinate and second is y-coordinate.
For 4 points, the table must have 2 columns and 4 rows.
So, the required table of values is
x y
-2 0
0 -4
0 1
3 0
Therefore, the correct option is D.
Hassan built a fence around a square yard. It took 48 m^2 of lumber to build the fence. The fence is 1.5 meters tall.
Answer:
Step-by-step explanation:
Please check ones more because this might be incorrect.
The area is in square meters...Let's change it
Square 48= 48*48 =2304
2304 divided by 4( 4 since the formula for the area of a sqaure is s*s and square has 4 sides)
2304 divided by 4 = 576
The formula for area of a square is S*S(side times side)
Let's apply the formula here.
so, 576 times 576
331776 square meters
Hope this is right and helps! :)
( This just my point of view. Please check this onces again)
Answer:
the answer is 64
Step-by-step explanation:
khan
you are going to give each customer 12fl oz of lemonade.If you have 15 gallons of lemonade prepared, how many customers will you be able to serve?
Answer:
160
Step-by-step explanation:
so 1 gallon is 128 fluid ounces
how many is 12fl oz
so (1×12)/128=0.09375gallons per person
and you have 15 so if one consumes 0.09375 how many can consume 15
so 15/0.09375
Find the indicated area under the curve of the standard normalâ distribution; then convert it to a percentage and fill in the blank. Aboutâ ______% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean). About nothingâ% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean).
Answer:
68.26%
Step-by-step explanation:
The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then the raw score id below the mean. The z score is calculated using:
[tex]z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score[/tex]
From the normal distribution table, Area between z equal -1 and z equal 1 = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826 = 68.26%
About 68.26% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).
Andrew drives through 5 intersections with stoplights on his way to work. He records that he is stopped by a red light in 2 of the 5 intersections. If he uses this as his general probability of getting stopped at a red light on his way to or from work, how many times can he expect to be stopped at a red light over the next 40 times he drives through an intersection on his route? Andrew should expect to be stopped times.
Answer:
He should expect to be stopped a total of 16 times
Step-by-step explanation:
What the question is saying is that out of every 5 intersections, he would be stopped at 2.
Now, for forty times in which he passes through an intersection , we want to know the number of times in which he would be stopped
In this case we only need to multiply the probability by the number of times in which he passes an intersection and that would be 2/5 * 40 = 16 times
Answer:
16
Step-by-step explanation:
2. Global Cable paid dividends of $0.28 and $0.16 per share last year. Given yesterday's closing price was $11.27, determine the current yield on the stock? Round to the nearest tenth.
Answer:
3.90%
Step-by-step explanation:
Relevant Data provided as per the question below:
Annual dividend = $0.28 and $0.16
Current per share = $11.27
According to the given situation, the calculation of the current yield of the stock is shown below:-
Current yield is
[tex]= \frac{Annual\ dividend}{Current\ share\ price} \times 100\\\\ = \frac{0.28 + 0.16}{11.27} \times 100[/tex]
[tex]= \frac{0.44}{11.27} \times 100[/tex]
= 3.90%
Therefore for computing the current yield of the stock we simply applied the above formula.
Which could be used to solve this equation? 3 and one-fifth + n = 9 Subtract 3 and one-fifth from both sides of the equation. 3 and one-fifth minus 3 and one-fifth + n = 9 + 3 and one-fifth Add 3 and one-fifth to both sides of the equation. 9 + 3 and one-fifth = 12 and one-fifth
Answer:
Subtract [tex]3\frac{1}{5}[/tex] from both sides.
Step-by-step explanation:
We want to isolate the variable [tex]n[/tex]. To do this, we have to get rid of [tex]3\frac{1}{5}[/tex], which we can do by subtracting itself, since it equals 0.
[tex]3\frac{1}{5} + n =9[/tex]
[tex]n = 5\frac{4}{5}[/tex]
Answer:
ITS A
Step-by-step explanation:
Simplify: 14 - 2+ 8 = 2 *3
helppp meeee
Answer:
20=6?
Step-by-step explanation:
14-2+8=2*3
14-2+8=6
12+8=6
20=6?
Answer:
These to equations aren't equivalent.
Step-by-step explanation:
14-2+8=2*3
12+8=6
20=6
Hope this helps ;) ❤❤❤
Which algebraic expression represents the phrase below?
five times the sum of a number and eleven, divided by three times the sum of the number and eight
5(x + 11) + 3(x + 8)
5x+11
3X+8
5(X+11)
3(x+8)
5x + 11 + 3x + 8
Answer:
[tex] \frac{5x + 11}{3(x + 8)} [/tex]
Step-by-step explanation:
[tex] \frac{5x + 11}{3(x + 8)} [/tex]
Five times the sum of a number and eleven, divided by three times the sum of the number and eight
Five times the sum= 5(_+_)
a number and eleven= x+11
divided= ÷ or /
3 times the sum of= 3(_+_)
the number and eight.
Together it will be
[tex]the \: \: one \: written \: in \: the \: answering \: section[/tex]
Hope this helps ;) ❤❤❤
Which lines are parallel to the graph of 4x - y = 6?
Answer:
Step-by-step explanation:
i cant see answers help my insta is 813.caden
Answer:
y+1=4(x-2)
y=4x+11
8x-2y+6
Step-by-step explanation:
What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minus 9 x EndFraction minus StartFraction x + 1 Over x squared minus 9 EndFraction StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction StartFraction (x + 5) (x + 4) Over x cubed minus 9 x EndFraction StartFraction negative 2 x + 11 Over x cubed minus 12 x minus 9 EndFraction StartFraction 3 (x + 2) Over x squared minus 3 x EndFraction
Answer:
[tex] \frac{(x + 5)(x + 2)}{ {x}^{3} - 9x } [/tex]First option is the correct option.
Step-by-step explanation:
[tex] \frac{2x + 5}{ {x}^{2} - 3x } - \frac{3x + 5}{ {x}^{3} - 9x } - \frac{x + 1}{ {x}^{2} - 9 } [/tex]
Factor out X from the expression
[tex] \frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x( {x}^{2} - 9)} - \frac{x + 1}{ {x}^{2} - 9} [/tex]
Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex] , factor the expression
[tex] \frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x(x - 3)(x + 3) } - \frac{x + 1}{(x - 3)(x + 3)} [/tex]
Write all numerators above the Least Common Denominators x ( x - 3 ) ( x + 3 )
[tex] \frac{(x + 3) \times (2x - 5) - (3x + 5) - x \times (x + 1)}{x(x - 3)(x + 3)} [/tex]
Multiply the parentheses
[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - (3x + 5) - x(x + 1)}{x(x - 3)(x + 3)} [/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - x \times (x + 1)}{x(x - 3)(x + 3)} [/tex]
Distribute -x through the parentheses
[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - {x}^{2} - x }{x(x - 3)(x + 3)} [/tex]
Using [tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex] , simplify the product
[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - {x}^{2} - x}{x( {x}^{2} - 9)} [/tex]
Collect like terms
[tex] \frac{ {x}^{2} + 7x + 15 - 5}{x( {x}^{2} - 9)} [/tex]
Subtract the numbers
[tex] \frac{ {x}^{2} + 7x + 10}{ x({x}^{2} - 9)} [/tex]
Distribute x through the parentheses
[tex] \frac{ {x}^{2} + 7x + 10}{ {x}^{3} - 9x} [/tex]
Write 7x as a sum
[tex] \frac{ {x}^{2} + 5x +2x + 10 }{ {x}^{3} - 9x } [/tex]
Factor out X from the expression
[tex] \frac{x(x + 5) + 2x + 10}{ {x}^{3} - 9x} [/tex]
Factor out 2 from the expression
[tex] \frac{x( x + 5) + 2(x + 5)}{ {x}^{3} - 9x } [/tex]
Factor out x + 5 from the expression
[tex] \frac{(x + 5)(x + 2)}{ {x}^{3} - 9x } [/tex]
Hope this helps...
Best regards!!
The difference of the expression [tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex] is [tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]
The expression is given as:
[tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex]
Factorize the denominators
[tex]\frac{2x + 5}{x(x -3)} - \frac{3x + 5}{x(x^2 - 9)} - \frac{x + 1}{x^2 - 9}[/tex]
Apply the difference of two squares to the denominators
[tex]\frac{2x + 5}{x(x -3)} - \frac{3x + 5}{x(x - 3)(x + 3)} - \frac{x + 1}{(x - 3)(x + 3)}[/tex]
Take LCM
[tex]\frac{(2x + 5)(x + 3) - 3x - 5 -x(x + 1) }{x(x - 3)(x + 3)}[/tex]
Expand the numerator
[tex]\frac{2x^2 +6x + 5x + 15 - 3x - 5 -x^2 - x }{x(x - 3)(x + 3)}[/tex]
Collect like terms
[tex]\frac{2x^2 -x^2 - x +6x + 5x - 3x+ 15 - 5 }{x(x - 3)(x + 3)}[/tex]
Simplify
[tex]\frac{x^2+7x+ 10 }{x(x - 3)(x + 3)}[/tex]
Factorize the numerator
[tex]\frac{(x+5)(x+ 2) }{x(x - 3)(x + 3)}[/tex]
Expand the denominator
[tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]
Hence, the difference of the expression [tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex] is [tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]
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the sum of x and y is twice x. y=
Answer:
y is x because if x+y is 2x then y must equal x
The sum of x and y is twice x. Then the value of y will be equal to x.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that sum of x and y is twice x. Then the value of y will be calculated as below:-
x + y = 2x
y = 2x - x
y = x
Therefore, the sum of x and y is twice x. Then the value of y will be equal to x.
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A company uses two vans to transport
workers from a free parking lot to the
workplace between 7:00 and 9:00 a.m.
One van has 9 more seats than the other.
The smaller van makes two trips every
morning while the larger one makes only
one trip. The two vans can transport 69
people, maximum. Let x be the seats in the small van and y the
seats in the large van. How many seats does the
larger van have?
Answer:
x=20 seats, y=29 seats
Step-by-step explanation:
y-x=9 y=9+x
2x+y=69 solve by substitution
2x+9+x=69
3x=69-9 3x=60
x=60/3=20 (small van)
y=9+x
y=29 (large van)
Answer : 20 in small , 29 in big as big van has 9 small van
The function f(t) = -6r+ 11 has the range {- 37. - 25. - 13, -1). Select the domain values from the list
1. 2. 3. 4. 5. 6. 7. 8. Justify your choices by explaining how you determined the domain values.
answer
-6r+-11=-37
-6r=-37+11
-6r=-48
r=8
In a particular year, a total 44,064 of students studied in two of the most popular host countries when traveling abroad. If 8382 more students studied in the most popular host country than in the second most popular host country, find how many students studied abroad in each country. There were ____ students who studied abroad in the most popular host country.
Step-by-step explanation:
Total=44,064
Host countries= 2
2nd most popular country= x
Popular country=x+8382
x+x+8,382=44,064
2x=44,064-8,382=35,682
2x=35,682
x=17,842
2nd most popular=17,842
Popular=17,842+8,382=26,224
Answer=26,224
There were students who studied abroad in the most popular host country by forming the equation is 26,224
How equations are formed?
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. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.
Here, It is given:
Total number of students = 44,064
Number of Host countries= 2
Let the 2nd most popular country= x
So, the Popular country becomes x+8382
Now, According to the question:
⇒x+x+8,382=44,064
⇒2x=44,064-8,382=35,682
⇒2x=35,682
⇒x=17,842
Hence, The number of students in 2nd most popular country=17,842
And, The number of students in a popular country
= 17,842+8,382=26,224
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A school has 400 students. They all come to school by bus, and each bus carries the same number of students. How many students might there be on each bus?
Answer:
100 students on each bus
Step-by-step explanation:
100*4 is 400 so there might be just 4
Answer:
Hey there!
It's possible that there are 200 busses, and each bus carries only 2 people, there are 10 busses and each bus carries 40 people, or there are 5 busses and each bus carries 80 people.
Hope this helps :)
How many solutions does this system have? x minus y = negative 4. 3 x + y = 8. one two an infinite number no solution
Answer:
One solution
Step-by-step explanation:
Answer:
The correct answer is A.) one
Step-by-step explanation:
I just did the test on edge 2021 and got it right!