Answer:
y = – 3x + 4 and 3y = – 9x + 12, y = –3x + 4 and y = –6x + 8
Step-by-step explanation:
Consider all Options as to solve this problem;
Option A; Here we are given equations y = – 3x + 4 and y = – 3x – 4. A system of equations can only have infinitely many solutions if the two equations are one in the same, such that their graphical representation overlap one another. Now the difference between the two equations is that the second has a y - intercept of - 4, rather 4 such that they are not one in the same equation.
Option B; We are given the following equations; y = – 3x + 4 and 3y = – 9x + 12. Convert the second equation to point - slope form, so that they can easily be compared, by dividing the second equation by 3: 3y = –9x + 12 ⇒ y = - 3x + 4. y = - 3x + 4, and y = - 3x + 4 are one in the same equation, thus this system of equations has infinitely many solutions.
Option C; The equations y = –3x + 4 and y = - 1/3x + 4 are most certainly not the same provided the second equation has a slope of - 1 /3 comparative to that of the first equation's slope, - 3.
Option D; y = –3x + 4 and y = –6x + 8, are one in the same, as if yoy multiply the first equation by 2 you receive the second; y = –6x + 8
Solution( s ); y = – 3x + 4 and 3y = – 9x + 12, y = –3x + 4 and y = –6x + 8
The system of equations y = –3x + 4 and 3y = –9x + 12y has infinitely many solutions.
We need to find the system of equations below has infinitely many solutions.
What is the condition for the system of lines that has infinitely many solutions?The condition for the system of lines that has infinitely many solutions is [tex]\frac{a_{1} }{a_{2}} =\frac{b_{1} }{b_{2}}=\frac{c_{1} }{c_{2}}[/tex].
Now, y +3x - 4=0 and 3y+9x - 12=0
3/9=1/3=-4/-12=1/3
Therefore, the system of equations y = –3x + 4 and 3y = –9x + 12y has infinitely many solutions.
To learn more about the system of equations visit:
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What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
Answer:
Volume is 3.05m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
Step one
The formula for the volume of a sphere is expressed as
V=4/3πr³
Step two
Given data
Diameter d = 1.8m
Radius r = d/2= 1.8/2= 0.9m
Step three
Substituting our given data we have
V= 4/3*3.142*0.9³
V= 4/3*3.142*0.729
V= 9.162/3
V=3.05m³
Can someone explain and answer
Answer:
D. y = -2x + 20
Step-by-step explanation:
first, plot these points on a linear graph.
work down from the top:
A. y = 2x + 5
look at the last number first, this means the line will cross over the y axis (vertical line) at + 5. draw a point on + 5
y = 2x + 5
From this point (+5), the 2x means that for every 1 square you move across (to the right), you will go up 2. This will make the second point of the line. connect the dots. (see picture 1 below)
B. y = 2x - 6
the last number means the first point will be on -6 on the y axis.
y = 2x - 6
the 2x means that every 1 square you go across (to the right) from that point, you will move up 2
C. y = 2x
as there is no second number, this line will cross through the center of the graph. the 2 means that for every 1 square you move across from that point, you will move up 2
D. y = -2x + 20
the +20 means this line will cross the y axis and + 20, the -2 means that for every 1 square you move across to the right, you move DOWN 2.
this is the only line that moves down from left to right
5 + w + 21
What is the answer helped me please
Answer:
w+5=7
Step-by-step explanation:
find the length of the unknown side round your answer to the nearest 10th
Answer:
4.4 ft
Step-by-step explanation:
The sides of a right triangle are "tied together" mathematically by an equation called the Pythagorean theorem, which says: in any right triangle, the relationship between the two sides that make the right angle (we'll call them a and b) and the side across from it (c) is
[tex]a^2+b^2=c^2[/tex]
Let's sustitute these for the values we have in our problem (measured in feet)
[tex]9^2+a^2=10^2\\81+a^2=100\\a^2=19\\a=\sqrt{19}[/tex]
19 is between the perfect squares [tex]4^2=16[/tex] and [tex]5^2=25[/tex], so [tex]\sqrt{19}[/tex] must be between 4 and 5, a little bit closer to 4. Punching the expression into the calculator confirms this with a value of [tex]\sqrt{19}\approx4.3588[/tex] which we can round to 4.4 ft.
what is the answer to 7+6y >19 ?
Answer:
[tex]y>2[/tex]
[tex]\{y\in \mathbb{R}|y>2\}[/tex]
The interval notation is: [tex](2, \infty)[/tex]
Step-by-step explanation:
[tex]7+6y>19[/tex]
[tex]6y>12[/tex]
[tex]y>2[/tex]
if the relationship is proportional, what is the missing value from the table?
A 8
B 9
C 12
D 14
Answer:
C 12
Step-by-step explanation:
16 × 6 ÷ 8 = 12
check answer: 24 × 12 ÷ 16 = 18
Find the distance between the pair of points
(7, -2) and (11,-2)
(-5,2) and (-5,4)
(8,-10) and (5, -10)
Pls answer fast I REALLY NEED THE ANSWERS :)
Circle O has a circumference of approximately 28.3 cm. What is the approximate
length of the radius?
Answer:
4.5 cm
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r where r is the radius
28.3 = 2 * (3.14) *r
28.3 = 6.28 r
Divide each side by 6.28
28.3/6.28 = r
4.506369427=r
The approximate length of the radius is 4.5 cm
i have alot of work to dk sk if anyone could help pleas
All in the attachment :)
and don't complain about my drawing skills ;)
Find the area and the circumference of a circle with radius 7 ft.
Use the value 3.14 for a, and do not round your answers. Be sure to include the correct units in your answers.
Areal
Circumference:
Answer:
circumfrence : 43.96 area :153.94
Step-by-step explanation:
this table shows values represented by an exponential function. What is the average rate of change for the function for the interval from x=2 to x=4?
Answer:
B
Step-by-step explanation:
2= 9
4= 64
64-9=55
If you subtract that
You will get 55
Answer:
the correct answer is 27.5
Step-by-step explanation:
How many triangles exist with the given angle measures?
Answer: An infinite number
We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like. They'll all have the same shape but different sizes.
Answer:
1
Step-by-step explanation:
14 subtracted from the difference of x and 3
Answer:
3 is the answer. lol lol
Answer:
3
Step-by-step explanation:
The difference of x and 3
Difference means subtract, so we subtract 3 from x
x-3
14 subtracted from
14 is subtracted from the difference of x and 3, so
(x-3)-14
Therefore, the correct choice is 3: (x-3)-14
If Mitchell buys 3/10 of a pound of cream cheese and 3/10 of a pound of sour cream, how much will he spend?
plain yogurt $5 per pound
sour cream $5 per pound
Greek yogurt $3 per pound
cream cheese $3 per pound
Answer:
$2.40
Step-by-step explanation:
Take the price of each item and divide by ten to find the cost of 1/10:
3 divided by 10 = .3
5 divided by 10 = .5
Then multiply by the amount he is purchasing:
.3 x 3 = .9
.5 x 3 = 1.5
Add the prices together for a total:
.9 + 1.5 = 2.4
Logan is 4 times older than his cousin Dylan .Logan is less than 12 years old.which inequality shows the possible age Dylan could be.
A. d< 3
B . d > 3
C. d < 48
D. d > 48
Find the reference angle of 14 pie over 11
Answer:
Step-by-step explanation:
reference angle=(14 π)/11-π=(14-11)π/11=3π/11
SOMEONE, PLEASE HELP ME OUT!
Answer:
B
Step-by-step explanation:
Angle P and Angle Q are co- interior angles so they add up to 180 degrees
If angle P is 116, then:
116+ x= 180
(x= Angle Q)
x=180-116
x=64
Which point could be on the line that is perpendicular to Line M N and passes through point K? (0, −12) (2, 2) (4, 8) (5, 13)
Answer:
B: (2,2)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
"Five less than three times a number is greater than two-thirds of that number."
Which inequality matches the given statement?
A. 3n-5>2/3n
B. 5-3n>2/3n
C. 3n-5<2/3n
D. 5-3n<2/3n
Answer:
A.
Step-by-step explanation:
The inequality matches the given statement 3n-5>2/3n.
What is the inequality?An inequality is a relationship between two different quantities or expressions.
An inequality may be expressed by a mathematical sentence that uses the following symbols:
< is less than
> is greater than
≤ is less than or equal to
≥ is greater than or equal to
≠ is b equal to
"Five less than three times a number is greater than two-thirds of that number.
3n-5>2/3n
Hence, the inequality matches the given statement 3n-5>2/3n.
Learn more about inequality here;
https://brainly.com/question/11968331
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(10 points)
-22 + 31
= 2
Consider the equation 35 + 7
How do you begin isolating the variable x to one side of the equation?
The solution of the equation is
(IGNORE THE WRITEN QUESTION JUST LOOK AT THE PICTURE)
Step-by-step explanation:
Im not sure ut it looks like 3x over 3x would cancel eachother out.
Use the table below.
If Sally is trying to keep her dinner under 500 calories, can she have a broiled sirloin, baked potato and salad and ½ cup fruit cocktail?
No
Yes
Answer:
Yes
Step-by-step explanation:
1/2 fruit cocktail—>57
broiled sirloin—>240
baked potato—>145
442 is the total so yes
I need help please. I WILL GIVE BRAINLY!!!!
Answer:
1.
The amount of time could be related to the battery charge by equation:
y = ax + b
a = 16% per 30 min = 32% per hour
b = 10%
=> y = 32x + 10
2.
In term of charging time, the rate of charging is 32% per hour
Which of the following describe a simple event?
Answer: B
Step-by-step explanation:
Circle G:(x-14)^2+(y+12)^2=49 and Circle H:(x-18)^2+(y-8)^2=196. Describe a complete series of transformation from Circle G to Circle H.
Step-by-step explanation:
The equation
(x - a)² + (y - b)² = r²
describes a circle of radius r, with center at the point (a, b).
G is a circle of radius 7 units, centered at the point (14, -12).
H is a circle if radius 14 units, centered at the point (18, 8).
Answer:
Dilation
Step-by-step explanation:
The general form of a circle with center at (h, k) and radius r units is given as
(x - h)² + (y - k)² = r²
G is a circle centered at the point (14, -12) with radius 7 units.
G is dilated 4 units to the right on the x-axis, 20 units upwards on the y-axis, and 7 units on the radius to a circle H with center at the point (18, 8) and radius 14 units.
Find the
volumes of the two rectangular prisms
described in the table. If you divide
each dimension of the larger prism
by 2, how does the new volume
compare to its original volume?
Explain.
Answer:
1. 135 2. 16.875
Step-by-step explanation:
1. 5 x 4.5 x 6 = 135
2. 2.5 x 2.25 x 3 = 16.875
which store will she purchase the rug from
32pts and BRAINLIEST FOR BST ANSWER!!
Use sigma notation to represent the sum of the first seven terms of the following sequence: −4, −6, −8, …
the summation from n equals one to 7 of quantity negative 2 minus 2 times n
the summation from n equals one to 7 of quantity negative 4 plus 2 times n
the summation from n equals one to 7 of quantity negative 2 minus 4 times n
the summation from n equals one to 7 of quantity negative 2 plus 2 times n
Answer:
B
Step-by-step explanation:
B cause
Answer:The Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n
Step-by-step explanation:
The given Arithmetic sequence: −10, −13, −16, …
Theory : For arithmetic sequence : a, a+d,a+2d......a+(n-1)d
Formula for summation is given as Sn =
Where, a= First term of sequence = (-10) and d= difference of any two consecutive terms = (a+d)-(a) = (-13)-(-10)= (-3)
Putting values in Summation formula
Sn =
Sn =
Sn =
Sn =
Thus, Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n
What is the equation of a horizontal line passing through the point (-3, 8)?
Ox=-3
Oy=8
Ox= 5
Oy=-11
Answer:
Y=8
Step-by-step explanation:
A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8
Answer: y = 8
Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".
Since we are given that the y-coordinate is 8, that means that
the equation of this line will be y = 8.
f(1) = 1
f(2) = 2
f(n) = f(n − 2) + f(n - 1)
f(3) =?
Answer:
3
Step-by-step explanation:
To find f(3) we just need to plug in 3 wherever we see an n
f(3) = f(3 - 2) + f(3 - 1)
f(3) = f(1) + f(2)
Since f(1) and f(2) are given, we can plug in the respective values
f(3) = f(1) + f(2) → f(3) = 1 + 2 = 3
Answer:
3
Step-by-step explanation:
I just did it on Khan
Find the number of positive numbers less than 2020, which can be written as the sum of five consecutive positive numbers.
Integers*?
Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.
