Answer:
Parallel lines.
Step-by-step explanation:
If the two linear equations have the same slope (and the SAME y-intercept), the equations represent the same line. Since a line intersects with itself everywhere, there will be an infinite number of solutions (intersecting everywhere.)
If two equations have the same slope and the same y-intercept, then they are the same line and an infinite solution .
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We have three cases in terms of slope and intercept:
The system has precisely one solution if the slopes of the two lines differ (whether the lines have the same intercept or different intercepts).There exists an infinite number of solutions to the system if they share the same slope and intercept, making them the same line.If they are parallel and have different intercepts but the same slope, there is no solution.So, The identical numerical values used for x and y in the first solution will also work for the second because these lines have an infinite number of solutions.
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A team of 13 basketball players needs to
choose two players to refill the water
cooler.
O Permutation; 39
O Combination; 60
O Combination; 78
O Permutation; 156
The selection of the basketball players is an illustration of combination
The number of ways the basketball players can be chosen is 78
How to determine the number of selectionThe given parameters are:
Number of players (n) =13
Players to select (r) = 2
The number of ways the players can be selected is calculated as:
[tex]^nC_r = \frac{n!}{(n -r)!r!}[/tex]
The equation becomes
[tex]^{13}C_2 = \frac{13!}{(13 -2)!2!}[/tex]
Evaluate the difference
[tex]^{13}C_2 = \frac{13!}{11!2!}[/tex]
Evaluate the factorials
[tex]^{13}C_2 = \frac{13 * 12 * 11!}{11! * 2}[/tex]
Evaluate the quotient
[tex]^{13}C_2 = 13 * 6[/tex]
Evaluate the product
[tex]^{13}C_2 = 78[/tex]
Hence, the number of ways the basketball players can be chosen is 78
Read more about permutation and combination at:
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x-4(3-2x) = 3(3x+4)
Find X
Answer:
all x are the solution
Step-by-step explanation:
x - 4×3 - 4×(-2x) = 3×3x + 3×4
x - 12 + 8x = 9x +12
9x + 12 = 9x + 12
9x = 9x
(0 = 0)
no matter which number we take for x the equation will always be correct
ex. x = 3 : left : 9×3 = 27
right : 9×3 = 27
what is the value of y that satisfies the equation below y/2=9
Answer:
y/2 = 9
In order to find the value of y, we must first isolate y by performing inverse operations.
Right now, y is being divided by 2, so the inverse operation of division is multiplication.
So we multiply by 2 on both sides:
y/2 = 9
*2 *2
2/2y = 18
y = 18
2/3 x 7 2/6 =4 8/9
But how is it done?
Note: i want explanation
Do not spam ty
[tex]Hello[/tex] [tex]There![/tex]
Let's do this step-by-step explanation!
[tex]\frac{2}{3}[/tex] × [tex]7 \frac{2}{6}[/tex]
Convert mixed numbers to improper fractions: [tex]7 \frac{2}{6} =\frac{44}{6}[/tex]
[tex]=\frac{2}{3}[/tex] × [tex]\frac{44}{6}[/tex]
Cancel: [tex]\frac{44}{6} :\frac{22}{3}[/tex]
[tex]=\frac{2}{3}[/tex] × [tex]\frac{22}{3}[/tex]
Apply the fraction rule:
[tex]2[/tex] × [tex]22[/tex]
[tex]3[/tex] × [tex]3[/tex]
Mutiply the numbers: [tex]2[/tex] × [tex]22[/tex] [tex]=44[/tex]
[tex]44[/tex]
-----
[tex]3[/tex] × [tex]3[/tex]
Mutiply the numbers: [tex]3[/tex] × [tex]3=9[/tex]
[tex]=\frac{44}{9}[/tex]
Convert the fractions into mixed numbers: [tex]=\frac{44}{9} = 4\frac{8}{9}[/tex]
[tex]=4\frac{8}{9}[/tex]
Answer:
[tex]4\frac{8}{9}[/tex]
Hopefully, this helps you!!
[tex]SokkaBanned[/tex]
Mrs Gallo weighs 94 kg. Her doctor says she has to reduce her weight! If she
reduces her weight by 16% what will her new weight be (to the nearest
kilogram)?
Find the volume of the cone. Round your answer to the nearest tenth. A cone is shown. Its height is 9 yards and the diameter of its base is 7 yards.
Answer: 346.2yd³
Step-by-step explanation:
Volume = Area of Base x Height
Volume = πr² x 9
Volume = π(3.5)² x 9
Volume = 38.465 x 9
Volume = 346.184 ≅ 346.2yd³
Y x 6 for y=2/3 please help asap
2/3 x 6 = (2x6) / 3 = 4
Slove for YZ
Show all work
Answer: 34
Step-by-step explanation:
Answer:
YZ=34
Step-by-step explanation:
[tex]xy(xz)=xw(xv)\\\\6(2x+12+6)=10(x+3+10)\\\\6(2x+18)=10(x+13)\\\\12x+708=10x+130\\\\12x-10x=130-108\\\\\cfrac{2x}{2} =\cfrac{22}{2} \\\\x=11[/tex]
[tex]yz=2x+12\\\\2(11)+12\\\\22+12\\\\yz=34[/tex]
~
a side of an equlateral triangle is 2/8 cm long. draw a picture that shows the triangle. what is the perimeter of the triangle?
Answer:
4/16 cm
Step-by-step explanation:
I just did the test and i got it right yourwelcome bye
In the year 2000, the height of an apple tree was
150 centimeters. In the year 2020, the same tree has
grown to 270 centimeters. What was the average rate
of change in the height of the tree from 2000 to 2020?
In other words: On average, how fast was the tree
growing? Include units.
Answer:
(270+150)/(2020-2000)= 21 - average rate of change in the height per year
Answer:
I think to get the average rate you subtract 150 from 270 centimetres you'll get 120 centimetres then subtract 2000 from 2020 to get 20 now to get the rate divide 120cm by 20 and you will get six so the rate is 6 cm per year
Find the area of this circle.
A= ?
5 in
Hint: First, plug in the value
of the radius into the
formula for r.
If radius, r = 5in., then we can compute that the area of the circle = 78.55in² or approximately 79in².
Using the formula, Area of Circle = πr²
It is given in the question, r = 5in and as we know that the value of π = 3.142
Now, putting the values from above in the formula of area of circle, we will get:
A = π × 5² = 3.142 × 25 = 78.55
= 79in² (to the nearest whole number).
The space a circle takes up in a two-dimensional plane is known as its area. Alternately, the area of a circle is the area contained within the circumference or boundary of the circle. The sum of the square units inside that circle is another name for it.
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.52 is 10 times greater than what number
Answer:
0.052
Step-by-step explanation:
0.52 divided by 10
Answer:
Simple. It’s 0.052.
Step-by-step explanation:
0.052•10=.52
Garden canes have lengths that are normally distributed with mean 208.5cm and standard deviation 2.5cm. what is the probability of the lenght of a randomly selected cane being between 205cm and 210cm
The probability of randomly selecting a can between 205cm to 210cm is 0.8765
Data;
Mean = 208.5cmstandard deviation = 2.5cmNormal DistributionTo solve this problem, we can simply use the formula of probability and substitute the value.
[tex]p\frac{(205-108.5)}{2..5} < \frac{x - 208.5}{2.5} < \frac{210 - 205.5}{2.5}\\p(-1.4 < z < 1.8)[/tex]
Rearranging the equation and solving for the z-values;
[tex]p(z < 1.8-p < z < -1.4)[/tex]
This becomes
[tex]p = 0.9641 - 0.0876 = 0.8765[/tex]
The probability of randomly selecting a can between 205cm to 210cm is 0.8765
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For this function, find each of the following
a. f(-1)
b f(0)
c f(3)
f(x)=-2|3x+5|-2
I will mark it as the brainiest
Answer:
F=3-53-5=-12-t-2-54-
Step-by-step explanation:
Answer:
a. -6
b. -12
c. -30
Step-by-step explanation:
a. f(-1) b. f(0) c. f(3)
f(-1)=- 2|3× -1 +5| -2 f(0)= -2|3× 0 +5| -2 f(3)= -2|3× 3 +5| -2
f= -2|-3+5|-2 f= -2|0+5| -2 f= -2|9 +5| -2
f= -2|2|-2 f= -2|5| -2 f= -2|14| -2
f= -4-2 f= -10-2 f= -28 -2
f= -6 f= -12 f= -30
What is the y-intercept of the graph shown? Will give the brainiest answer
Answer:
(0, 4)
Step-by-step explanation:
The y-intercept is defined as the point where the line intersects the y-axis. All we need to do is find where the line intersects the y-axis.
(0, 4) is the answer.
which angle is coterminal with 150°? NO LINKS!!
a. 330°
b. -150°
c. 510°
d. 500°
Now
Coterminal angle:-
2π+5π/612π+5π/617π/6510°Option C is correct
The interest on an investment varies directly as the rate of interest. If the interest is
$40 when the interest rate is 5%, find the interest when the rate is 3.2%.
The interest when the rate of interest is 3.2% is $
(Simplify your answer. Type an integer or a decimal.)
Answer:
40.32
Step-by-step explanation:
I hopped I helped! <3
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Write down 3 examples of a number that is both divisible by 6 and has the same last digit as 4^n. N is any integer of your choice above 1000
Answer:
Step-by-step explanation:
if n is a positive integer then 4^n has last digit 4 or 6
we choose any number having 4 digits whose sum is divisible by 3 and last digit is 4 or 6.
1014,1026,1104 etc.
What is the best estimate for a length of a car?
Answer:
Yards
Step-by-step explanation: Yards make the most since because the average car is about 3 to 5 yards.
The prices for various numbers of pounds of apples at several stores are shown in the table below. How much would 7 lbs of apples cost at PARSON'S MARKET?
5 points
Answer:
$13.23
Step-by-step explanation:
first, you divide 6 by $11.34 then you multiply 7 by $1.89 to get 13.23.
What is the rate of change for the linear relationship modeled in the table?
х Y
-1 10
1 9
3 8
5 7
A) -1/2
B) 0
C) 1/2
D) 2
how many 6/14 feet of rope can you make out of 49/14 peices of rope?
This word problem is another way of saying
How many times can 6/14 go into 49/14
To find this out we divide
(49/14)/(6/14)
We also know that dividing by a fraction is the same as multiplying
=(49/14)(14/6)
=49/6
≈8.16
As we just want how many segments of 6/14 feet rope, we can ignore the decimals/round down getting the answer
Eight pieces of rope can be made our of 49/14 piece of rope.
Each of these Quadratics are written in standard form choose all of the parabolas the would open upwards?
Step-by-step explanation:
When written in standard form, yout can just look at the first term
If the first term is positive it opens upwards
if the first term is negative, it opens downwards
Solve the system.
x + y -z = 17
y +z = 1
Z= -3
Enter your answer as an ordered triple.
Answer:
[tex]z = - 3[/tex]
[tex]y - z = 1[/tex]
[tex]y + ( - 3) = 1[/tex]
[tex]y = 4[/tex]
[tex]x + 4 +3 = 17[/tex]
[tex]x = 10[/tex]
26
Kabita has two bags.
In the first bag there are 5 blue discs and 3 red discs.
In the second bag there are 7 blue discs and 4 red discs.
Kabita takes at random a disc from the first bag.
She then takes at random a disc from the second bag.
(a) Complete the probability tree diagram.
second
first bag
blue
7
11
blue
Complete the probability tree diagram
Answer:
I am not sure your is correct
Show that ln(x^3 "-4x)" − ln(x^2 "-2x)=" ln(x + 2).
[tex] ln({x}^{3} - 4x) - ln(x {}^{2} - 2x ) [/tex]
can be written as;
[tex] ln( \frac{ {x}^{3} - 4x }{ {x}^2 - 2x } ) [/tex]
[tex] ln( \frac{x( {x}^{2 } - 4) }{x(x - 2)} ) = ln( \frac{x(x - 2)(x + 2)}{x(x - 2)} ) [/tex]
Now all you have to do, is divide the numerator and denominator by x and by (x-2)
to get,
[tex] ln( \frac{x(x - 2)(x + 2)}{x(x - 2)} ) = ln( \frac{x + 2}{1} ) = ln(x + 2) [/tex]
We proved that ln(x³-4x)-ln(x²-2) is equal to ln(x+2) :)
Pls help Thanks! I dont understand the question
a^-7
Step-by-step explanation:
When you divide numbers with exponents, essentially you are subtracting the exponents. So, -13 - -6 is equivalent to -7.
what is the area of this shape? in cm please and ty
Answer:
[tex]15cm^2[/tex]
Step-by-step explanation:
Split the shape
Find the area of smaller shapes
Add two smaller shapes' area together
I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CAN SOLVE I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING
POINTS!!!!!!!!
Answer/Step-by-step explanation:
Given:
Identify the fraction with the greater value in each pair and color it on the solution strip to solve the riddle.
Given fraction:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{1}{2}\;or\;\frac{2}{5}[/tex]
[tex]\frac{2}{6} \;or\;\frac{1}{4}[/tex]
[tex]\frac{1}{3}[/tex] [tex]or\frac{1}{5}[/tex]
[tex]\frac{2}{3}\;or\frac{2}{5}[/tex]
[tex]\frac{3}{5}\;or\frac{3}{7}[/tex]
[tex]\frac{5}7\;or\frac{6}8[/tex]
[tex]\frac{5}{5}\;or\frac{6}7[/tex]
[tex]\frac{1}6\;or\frac{2}7[/tex]
[tex]\frac{5}8\;or\frac{8}9[/tex]
[tex]\frac{1}6\;or\frac{3}{10}[/tex]
[tex]\frac{3}{10}\;or\frac{4}{12}[/tex]
[tex]\frac{2}{12}\;or\frac{4}{5}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Solve:
Finding greatest value for each;
Starting with [tex]\frac{1}{2}\;or\;\frac{2}{5}[/tex]
Turning both into decimal
1 ÷ 2 = 0.5
2 ÷ 5 = 0.4
Hence, [tex]\frac{1}{2}[/tex] is the greater value
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
[tex]\frac{2}{6} \;or\;\frac{1}{4}[/tex]
2 ÷ 6 = 0.33333333333
1 ÷ 4 = 0.25
Hence, [tex]\frac{2}{6}[/tex] is the greater value
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
[tex]\frac{1}{3}or\frac{1}{5}[/tex]
1 ÷ 3 = 0.33333333333
1 ÷ 5 = 0.20
Hence, [tex]\frac{1}{3}[/tex] is the greater value
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
[tex]\frac{2}{3}\;or\frac{2}{5}[/tex]
2 ÷ 3 =0.66666666666
2 ÷ 5 = 0.4
Hence, [tex]\frac{2}{3}[/tex] is the greater value
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
[tex]\frac{3}{5}\;or\frac{3}{7}[/tex]
3 ÷ 5 = 0.6
3 ÷ 7 = 0.42857142857
Hence, [tex]\frac{3}{5}[/tex] is the greater value
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
[tex]\frac{5}7\;or\frac{6}8[/tex]
5 ÷ 7 = 0.71428571428
6 ÷ 8 = 0.75
Hence, [tex]\frac{6}{8}[/tex] is the greater value
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
[tex]\frac{5}{5}\;or\frac{6}7[/tex]
5 ÷ 5 = 1
6 ÷ 7 = 0.85714285714
Hence, [tex]\frac{5}{5}[/tex] is the greater value
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
[tex]\frac{1}6\;or\frac{2}7[/tex]
1 ÷ 6 = 0.16666666666
2 ÷ 7 = 0.28571428571
Hence, [tex]\frac{2}{7}[/tex] is the greater value
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
[tex]\frac{5}8\;or\frac{8}9[/tex]
5 ÷ 8 =0.625
8 ÷ 9 = 0.88888888888
Hence, [tex]\frac{8}9[/tex] is the greater value
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
[tex]\frac{1}6\;or\frac{3}{10}[/tex]
1 ÷ 6 = 0.16666666666
3 ÷ 10 = 0.3
Hence, [tex]\frac{3}{10}[/tex] is the greater value
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
[tex]\frac{3}{10}\;or\frac{4}{12}[/tex]
3 ÷ 10 = 0.3
4 ÷ 12 = 0.33333333333
Hence, [tex]\frac{4}{12}[/tex] is the greater value
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
[tex]\frac{2}{12}\;or\frac{4}{5}[/tex]
2 ÷ 12 = 0.16666666666
4 ÷ 5 = 0.8
Hence, [tex]\frac{4}{5}[/tex] is the greater value.
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
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what means crazy plz help
Answer:
insane, fanatical, deranged, etc.
Step-by-step explanation: