The coordinates for the origin of the coordinate plane is (0,0).
What is a coordinate plane ?A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.
How to find the origin of the coordinate plane ?The coordinate plane consists of two axes which are the two mutually perpendicular lines, the X-axis and the Y-axis respectively.
The point of intersection of these two axes is known as the origin of the coordinate plane.
For the frame of reference, we take the origin of the coordinate plane as (0,0).
Therefore, the coordinates for the origin of the coordinate plane is (0,0).
To learn more about origin of the coordinate plane , refer -
https://brainly.com/question/3184381
#SPJ2
What are the real zeroes
You have to plug the values in the expression and see if it returns zero.
The only points where the function evaluates to zero are [tex] x=\pm 3[/tex] and [tex]x=6[/tex]
(x^(2))/(9)+(y^(2))/(49)=1 The distance from the center to the major intercept is
Answer:
7
Step-by-step explanation:
This is an equation of an ellipse of the form:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where a and b are the minor and major intercepts, given a<b
In this question, a<b and a = 3 and b = 7
The distance from the center to the major intercept is b, thus the distance we are seeking for is 7
Answer:
b = 7 units.
Step-by-step explanation:
The given equation of the ellipse is
[tex]\frac{x^{2} }{9} +\frac{y^{2} }{49}=1[/tex]
As we know in an ellipse [tex]\frac{x^{2} }{a^{2} }+ \frac{y^{2} }{b^{2}}=1[/tex]
a will be major axis and b is the minor axis when ( a > b )
In the given equation 49 > 9 ⇒ b² > a²
so major axis will be = √49
= 7
Therefore, distance from center to the major intercept is b = 7 units.
Which shows two expressions that are equivalent to (-8)(-12)(2)
(-8)(-12)(2) = -8 • -12 • 2
192 //It's positive because - - = +.
Answer: 192
//Hope it helps.
Answer with explanation:
Here the meaning of equivalent expression is that, the value of the expressions after applying operations ,that is original expression and equivalent expression is Identical.
We have to find that expression which is equivalent to:
(-8)×(-12)×(2)
Integers follows Associative Property, that is for any three Integers
→→ a × (b×c)=(a×b)×c=(a×c)×b
So, equivalent expression of →→ (-8)×(-12)×(2)
1.→ [(-8)× (-12)]× (2)
2.→[(-8)×(2)]×(-12)
3.→[(2)×(-12)]×(-8)
4.→ 192
Is the point (-10, -34 ) on the line y=3x-4 Show how you know
Answer:
yes
Step-by-step explanation:
Substitute x = - 10 into the equation and if the value obtained equals - 34 then the point satisfies the equation and lies on the line
x = - 10 : y = (3 × - 10) - 4 = - 30 - 4 = - 34 ← agrees
Hence (- 10, - 34) lies on the line y = 3x - 4
Will mark BRAINLIEST!!!!
I think it's d but not sure
Help in this question please, please
Answer:
28 and a=lenth times width
Step-by-step
mutiply 7 time 4 and it is 28
What is the value of y in the product of powers below?
Answer:
y =0
Step-by-step explanation:
From the equation;
8³ × 8⁻⁵×8^y = 8⁻²= 1/8²
From the laws of indices;
aⁿ×aⁿ = a^2n
Therefore;
8³ × 8⁻⁵×8^y = 8^(3+-5+y)
8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;
-2 + y = -2
y = 0
Answer:
The value of y is 0
Step-by-step explanation:
8³ * 8^-5*8^y = 8^-2 or 1/8²
Taking indices of both sides
From first law of indices;
Multiplication sign change to addition; i.e. x^a * x^b = x^(a + b).
So,
8³ * 8^-5*8^y = 8^-2
Becomes
8^(3 + (-5) + y) = 8^-2
Same base of 8 can cancel one another. So, we're left with
3 + (-5) + y = -2
Open the bracket
3 - 5 + y = -2
-2 + y = -2
Make y the subject of formula
y = 2 - 2
y = 0
Hence, the value of y in the equation is 0
One month jenny rented 3 movies and 5 video games for a total of $40. The next month she rented 12 movies and 2 video games for a total of $43. Find the rental cost for each movie and each video game.
movies is 2.59 and videos is 5.944
//Hope this helps
The correct answer is $6.50 for each video game and $2.50 for each movie. My work:
3 x 2.50 = $7.50 and 5 x 6.50 = $32.50
32.50 + 7.50 = $40.00
12 x 2.50 = $30.00 and 2 x 6.50 = $13.00
30.00 + 13.00 = $43.00
Hope this helps.
Order from greatest to least : 2/3,66%,0.67
2/3 is 0.6 repeating
66% is just 66%
same with 0.67
order is 0..67, 2/3, then 66%. i am the stupid.
% = decimal number
Answer:
0.67, 2/3, 66%
Step-by-step explanation:
2/3 decimal is 0.66666666667
66% decimal is 0.66
and 0.67 is 0.67
Hope this helped! Please mark as brainliest! Thanks!
Sean has 4 cookies. He wants to divide the cookies among his friends so that each friend gets of a cookie. How many friends can he give of a cookie?
The answer is 6
Trust me!
It's not four nor 8 is 6
The 4 cookies can be divided into 6 pairs of cookie pieces:
4 divided by 2/3 = 6
What exponential function represents the data in the table?
x f(x)
3 64
4 256
5 1024
Answer: [tex]f(x)=4^x[/tex]
Step-by-step explanation:
The general exponential function is given by :-
[tex]f(x)=Ab^x[/tex], where A is initial amount , b is multiplicative growth rate and x is time period.
Also, the multiplicative growth rate is the common ratio of the consecutive terms.
From the given table , [tex]b=\dfrac{256}{64}=4[/tex]
Substitute, x = 3 , f(x)=64 and b=4 , we get
[tex]64=A(4)^3\\\\\Rightarrow\ 64=A(64)\\\\\Rightarrow\ A=1[/tex]
Hence, the exponential function represents the data in the table is
[tex]f(x)=(1)(4)^x\\\\\Rightarrow\ f(x)=4^x[/tex]
13........................
Answer:
C.
Step-by-step explanation:
Answer:
Choice c is the answer.
Step-by-step explanation:
We have given a expression.
[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}}[/tex]
We have to find the rationalized form of above expression.
Multiplying and dividing by [tex]\sqrt{x}-\sqrt{5}[/tex] to given expression,we have
[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5} } \frac{\sqrt{x}-\sqrt{5} }{\sqrt{x}-\sqrt{5} }[/tex]
[tex]\frac{\sqrt{x}(\sqrt{x}-\sqrt{5})}{(\sqrt{x})^{2}-(\sqrt{5})^{2}}[/tex]
[tex]\frac{(\sqrt{x})^{2}-\sqrt{5}\sqrt{x}}{x-5}[/tex]
[tex]\frac{x-\sqrt{5x} }{x-5}[/tex] which is the rationalized form of given expression.
What is the value of x so that the line segment with endpoints W(x, −2) and X(5, −4) is parallel to the line segment with endpoints Y(2, 2) and Z(5, 6)?
x equals six start fraction one over two end fraction
x = 6
x equals three start fraction one over two end fraction
x = 7
Answer:
x equals six start fraction one over two end fraction
Step-by-step explanation:
Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.
Slope of YZ is:
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{6-2}{5-2} =\frac{4}{3}[/tex]
Since they are parallel, then WX has a slope of 4/3 too.
Slope of WX is:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3} = \frac{-4--2}{5-x}\\\\\frac{4}{3} =\frac{-2}{5-x}\\\\ (5-x)\frac{4}{3} = -2\\\\ 20 - 4x = -6\\\\-4x = -26 \\\\ x = 6 \frac{1}{2}[/tex]
Which value for x makes the sentence true? 1/50+x=1/10
Answer:
2/25 is the Answer, as a decimal it is 0.08
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x + 1/50 = 1/10
Step 2: Subtract 1/50 from both sides.
x + 1/50 - 1/50 = 1/10 - 1/50
X = 2/25
Proof that it is the answer
0.02 + 0.08 = 0.1
0.02 is 1/50
0.08 is 2/25
0.1 is 1/10
Hope this helps!
[tex]\bold{Hey\ there!} \\ \bold{\frac{1}{50}+x=\frac{1}{10}}\\ \\ \bold{You\ have\ to\ simplify\ both\ sides\ of\ your\ equation\downarrow}\\ \bold{Like:x+\frac{1}{50}=\frac{1}{10}} \\ \\ \bold{Next,\ you\ have\ to\ \underline{SUBTRACT}\ by\ \frac{1}{50}\ on\ your\ sides} \\ \bold{x+\frac{1}{50}-\frac{1}{50}=\frac{1}{10}-\frac{1}{50}}\\ \\ \bold{Cancel:\frac{1}{50}-\frac{1}{50}because\ it\ equals\ to\0!} \\ \bold{Keep:\frac{1}{10}-\frac{1}{50}\ because\ it\ helps\ us\ solve\ for\ our\ answer!}[/tex]
[tex]\bold{\frac{1}{10}-\frac{1}{50}=\frac{2}{25}} \\ \\ \\ \\ \boxed{\boxed{\bold{Answer:x=\frac{2}{25}}}}\checkmark \\ \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]
The price of gas was $1.80 in September then $2.07 in October. Find the percent change from September to October.
twenty seven percent.
The percent change in the price of gasoline from September to October is calculated using the formula for percent change. Subtracting the September price from the October price and dividing by the September price yields a 15% increase.
To calculate the percent change in the price of gasoline from September to October, we use the formula for percent change, which is
(New Price - Old Price) / Old Price
x 100%. In this case, the price in September was $1.80, and the price in October was $2.07.
The percent change can be calculated as follows:
Subtract the old price from the new price: $2.07 - $1.80 = $0.27.Divide the change by the original price: $0.27 / $1.80.Convert this number to a percentage by multiplying by 100, which gives us the percent change: ($0.27 / $1.80)Therefore, the percent change in the price of gasoline from September to October is 15%.
59.4 scientific notation
Answer:
5.94x10^1
Step-by-step explanation:
In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).
The graph shows the function f(x)=−12x+26 and g(x)=−(15)−x+2+3 .
What are the solutions of the equation −12x+26=−(15)−x+2+3 ?
Answer:
Step-by-step explanation:
-12x+x+26+15-2-3=0
-11x+36=0
-11x=-36
x=36/11
or x=3.2̅7̅
What is the solution to the following system of equations?
Answer:
D. (2,1)
Step-by-step explanation:
Fill in the value for y from the first eq (6x-11) into the second:
-2x - 3(6x-11) = -7
Now simplify:
-2x -18x + 33 = -7
-20x = -7-33
20x = 40
x = 2
Now that we have x, plug it into the top eq to get y:
y = 6*2 - 11 = 1
Et voila, x=2 and y=1, so the solution is (2,1).
Answer:
X= 2 and Y=1
Step-by-step explanation:
✯Hello✯
↪ So you know what y is so you can substitute into -2x-3y=-7
↪ -20x+33=-7 (thats after you expand the brackets)
↪ -20x=40
↪ this means that x=2. Therefore if u substitute y=1 and its on the options
❤Gianna❤
the volume of a cylinder is 1,356.48^ feet. If the diameter is 12 feet, calculate the height of the cylinder.
Answer:
11.99 ft
Step-by-step explanation:
The formula for the volume of a cyl. of radius r and height h is V = πr²h.
Solving this immediately for h yields:
V
h = ----------
πr²
Inserting the known quantities results in:
V 1356.48 ft³
h = ---------- = ---------------------- Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft
πr² 3.14159 (6 ft)²
= 11.994 ft
The height of the cyl. is 11.99 ft (to the nearest hundredth foot)
Final answer:
To find the height of the cylinder with a volume of 1,356.48 cubic feet and a diameter of 12 feet, divide the volume by the area of the base (calculated with a radius of 6 feet) to get approximately 11.99 feet.
Explanation:
To calculate the height of a cylinder when the volume and diameter are given, we use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, we have a volume of 1,356.48 cubic feet and a diameter of 12 feet, meaning the radius is 6 feet (half of the diameter). So we can plug these values into our formula to solve for h.
First, calculate the area of the base (πr²): 3.14159 × (6 feet)² = 3.14159 × 36 = 113.0976 square feet. Then we divide the given volume by this area to find the height: 1,356.48 cubic feet / 113.0976 square feet = 11.99 feet. Therefore, the final answer for the height of the cylinder is approximately 11.99 feet.
A home appliance salesperson wants to earn a total of 3,600 next month including his base salary and commissions. He earns a base salary of $800 per month and earns 20% commission for all sales in that month. What is the value of the merchandise that the salesperson must sell to reach his goal?
Answer:
He must sell $14000 of merchandise
Step-by-step explanation:
The salesperson earns a base salary of $800
This means that he must make
$3600 - $800 = $2800 worth of commisions
Let x, be the value of the mechandise that he needs to sell.
This means that
x*0.20 = $2800
x = $2800/0.20
x = $14000
He must sell $14000 of merchandise
I need the answer to this please
Answer:
~
Step-by-step explanation:
There isn't enough context information to solve the following problem.
what is the area of this parallelogram?
Answer:
30.6
Step-by-step explanation:
Area of Parallelogram = base x altitude
base = 6.8
altitude = 4.5
6.8 x 4.5 = 30.6
the sum of two numbers is 17. one number is 3 less than 2/3 of the other number. what is the lesser number?
the lesser number is 5.
steps:Let the first number = x
Let the second number = y
set up two equations
x + y = 17
2/3 x -3 = y
sub the second equation into the first one
x + 2/3 x - 3 = 17
collect like terms (1x = 3/3 x)
5/3 x - 3 = 17
add 3 to both sides
5/3 x = 20
multiply by 3 on both sides
5x = 60
divide by 5 on both sides
x = 12
sub back in one of the equations and solve to find the other number:
x + y = 17
12 + y = 17
y= 5
the lesser number is 5•have a good day• :) ~ ♡lipika♡
The lesser number is 5.
Let us consider that first number is x .
Since, second number is 3 less than 2/3 of the other number.
So that, second number [tex]=\frac{2}{3}x-3[/tex]
The sum of both number is 17.
[tex]x+\frac{2}{3}x-3=17\\\\\frac{5}{3}x=17+3\\\\\frac{5}{3}x=20\\\\x=20*\frac{3}{5}=12[/tex]
Lesser number is. [tex]=\frac{2}{3}x-3=\frac{2}{3}*12-3=5[/tex]
Hence, the lesser number is 5.
Learn more:
https://brainly.com/question/16450098
What is the value of -6.5 + (-2.5)-(-18)?
Answer:
9
Step-by-step explanation:
The amount of time t (in hours) that it takes to fill a swimming pool varies inversely with the pumping rate r(in kiloliters per hour). The constant of variation is 4. Find how long it will take to fill the pool when the pumping rate is 3.2 kL/hr
A.) 12.8 hrs
B.) 1.25 hrs - APEX
C.) 7.2 hrs
D.) 0.8 hrs
the answer to the problem is c
The answer is actually B) 1.25
Sarah Wood and her husband have agreed to purchase a house for $87,500.00. Washington Savings and Loan is willing to finance the purchase but requires a $5,000.00 down payment and closing costs of 3 percent of the amount of the mortgage loan. What are the total closing costs?
The mortgage loan amount is $82,500. The closing costs are 3 percent of the loan amount. Therefore, the total closing costs are $2,475.
Explanation:Sarah Wood and her husband are purchasing a house for $87,500.00, but they are making a down payment of $5,000.00. Therefore, the mortgage loan amount is $87,500 - $5,000 = $82,500. The closing cost for this mortgage loan is 3 percent of the loan amount. Thus, to calculate the total closing costs, we multiply the loan amount by 3%. Therefore, total closing costs are $82,500 * 0.03 = $2,475.00.
So, total closing costs are $2,475.00.
Learn more about Closing Costs here:https://brainly.com/question/22757075
#SPJ12
The total closing costs are $2,475.00.
Explanation:To calculate the total closing costs, we need to find 3 percent of the mortgage loan amount.
First, calculate the mortgage loan amount by subtracting the down payment from the house price: $87,500.00 - $5,000.00 = $82,500.00.
Then, find 3 percent of $82,500.00 by multiplying it by -
0.03: $82,500.00 * 0.03
= $2,475.00.
So, the total closing costs are $2,475.00.
Learn more about closing costs here:https://brainly.com/question/22757075
#SPJ12
Does this table show a proportional relationship? If so, what is the constant of proportionality?
x| 3 6 9 12
-------------------------------
y| 12 24 45 60
Answer:
4
Step-by-step explanation:
You can divide all the x from the y like , 45/9 =4 so it equals four
Yes, the table does show a proportional relationship and the constant of proportionality is 4.
What is proportionality?If the corresponding elements of two sequences of numbers have a constant ratio,
Known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
We know constant of proportionality is when we have the same multiplicative or division factor between two variables.
Given, when x = 3, y = 12, So y = 4x.
Again when x = 6 , y = 24, so, y = 4x and from observation we can conclude that y is 4 times of x or y = 4x.
∴ The constant of proportionality is 4.
learn more about proportionality here :
https://brainly.com/question/8598338
#SPJ5
Estimate 31,969 divided by 488. Round the numbers and the divide.
32,000 divided by 500 = 64
Answer: 32000/500= 64 approximately
Step-by-step explanation:
64 is the answer because 31969/488= 65.51
Which of the following best describes the equation below?
A. both a relation and a function
B. relation only
C. neither a relation nor a function
D. function only
Answer: OPTION A
Step-by-step explanation:
A relation is a function if for each value of x (input value) there is an unique value of y (output value).
For the equation given in the problem:
[tex]y=|x|+6[/tex]
There is an unique value of y for each value of x.
Therefore, the equation is a function and a function is also a relation.
Then, the answer is the option A
Answer:
A
Step-by-step explanation:
The number a is smaller than the number b by 1/5 of b . By what part of a is b bigger than a?
Answer:
it is bigger by 1/5
Step-by-step explanation: