ANSWER
(0, 0)
EXPLANATION
To solve this system by elimination, one of the variables must have the same coefficient or opposite coefficients in both equations. If this condition is not given, we can divide and/or multiply one or both equations by a constant to make this condition true.
First, we have to divide the first equation by 5,
\(\begin{gathered} \frac{-5x}{5}-\frac{5y}{5}=\frac{0}{5} \\ -x-y=0 \end{gathered}\)Also, subtract 8x from both sides of the second equation,
\(\begin{gathered} y-8x=8x-8x \\ -8x+y=0 \end{gathered}\)Now, this new system is equivalent - i.e. it has the same solution, as the given system,
\(\begin{cases}-x-y=0 \\ -8x+y=0\end{cases}\)To solve by elimination, now we add the two equations. This will eliminate the y-variable,
Find x from this equation. Note that the equation is x multiplied by a constant is equal to 0. This means that the solution is x = 0.
Now, to find the y-coordinate of the solution we have to replace x with 0 in one of the equations of the system. The second equation is already solved for y, so replace x there,
\(y=8x=8\cdot0=0\)Hence, the solution is (0, 0).
88, 92, 76, 42, 88, 90, 100, 110, 115, 5, 88, 92, 95
Find the Mean, Median, Mode, Range and Outlier of the data set above?
Answer:
Mean = 83.15
Median = 90
Mode = 88
Range = 110
Outlier = 5
Step-by-step explanation:
Mean - (88+92+76+42+88+90+100+110+115+5+88+92+95)/2 = 83.15
Median - 5, 42, 76, 88, 88, 88, 90, 92, 92, 95, 100, 110, 115 = 90
Mode - 88, 92, 76, 42, 88, 90, 100, 110, 115, 5, 88, 92, 95 = 88
Range - 115 - 5 = 110.
Outlier - 88, 92, 76, 42, 88, 90, 100, 110, 115, 5, 88, 92, 95 = 5
hope it helps :)
please mark brainliest!!! (took a lot effort!)
Answer:
Step-by-step explanation:
Arrange the data from the lowest to the highest value ( after you rearrange them count to see if you still have the same amount of values -13 numbers)
5, 42, 76, 88, 88, 88, 90, 92, 92, 95, 100, 110, 115
Mean: sum up all the values /number of values
mean = (5+42+76+88+88+88+90+92+92+95+100+110+115)/13 ≅83.15
Median: is the number in the middle (or if you have an even amount of numbers you do the average of the 2 middle numbers)
median = 90
Mode: is the number that appears the most (a data set can have more than one mode if different numbers appear with the same frequency )
mode= 88
Range: is the difference between the biggest and smallest value
range = 115-5 = 110
Outlier: is a value that is significantly different than the rest of the values
outlier = 5
Find the perimeter of the figure below, in meters.
2.7 m
2.7 m
*4m
Answer:
31.8 m
Step-by-step explanation: 6 5 17 26
add up all the lengths to find the perimeter
or sum the multiplication of the common lengths
P = 6 × 4.4 m + 2 × 2.7 m
= 26.4 m + 5.4 m
= 31.8 m
HELP SIMPLE MATH PROBLEM!!!!
Answer:
32
Step-by-step explanation:
Hello There!
The first thing we need to do is find the formula for area of a trapezoid
The formula is
\(A=\frac{a+b}{2} h\)
where a= base 1
b = base 2
and h = height
we are given all of the dimensions so all we have to do is plug them in
sp
\(A=\frac{12+4}{2} 4\\12+4=16\\\frac{16}{2} =8\\8*4=32\)
so the area of the figure is
32 units ²
Answer:
32
Step-by-step explanation:
Find formula
A=a+b/2 h
a= base 1
b = base 2
h = height
Then plug everything in
32 units ²
Write a formula for the function g(x) obtained when the graph of f(x) = 1/x is shifted down 4 units and to the right 6 units .
Please help !!!!
*NO LINKS*
Answer: \(g(x) = \frac{1}{x-6} - 4\)
This can be written out as g(x) = 1/(x-6) - 4
The "x-6" is in the denominator, while the "-4" is not.
=============================================================
Explanation:
We'll start with the parent function \(f(x) = \frac{1}{x}\)
When we shift 4 units down, we're subtracting 4 from the y coordinate of each point on the curve. Which is the same as subtracting 4 from f(x) because y = f(x).
So we have \(h(x) = f(x) - 4 = \frac{1}{x} - 4\) as an intermediate step.
Then to shift 6 units to the right, we'll replace every x with "x-6". Imagine we kept the h(x) curve completely still, and instead we moved the xy axis 6 units to the left. This would give the illusion of h(x) moving 6 units to the right if we made the xy axis stay still. So that's why we go for "x-6" instead of "x+6".
Therefore, we end up with \(g(x) = \frac{1}{x-6} - 4\)
Side note: plugging in x = 6 leads to a division by zero error. This would mean x = 6 is not in the domain.
Find the percent change and tell whether it is a percent decrease orincreaseOriginal amount: 625End amount: 550
First, we need to find the percentage (P) in his fraction form, which comes from the equation
\(550=625\cdot P\)Solving it we get
\(P=\frac{550}{625}=\frac{22}{25}\)It's our percentage in fraction form... But we need it in his %-form. Converting it is actually easy, we just need to multiply by 100 and % in the end. Doing that ,in this case, leads us
\(undefined\)does anyone have the answer please I’m begging.
Answer:
B
Step-by-step explanation:
V = area of base * hight ; consider the base the triangle
V= (b*h of triangle /2 ) * h of figure
V= (6*8/2)*13 = 312 cm³
Use the following information for determining sound intensity. The number of decibels
The level of the sound with the given properties is 200
How to find the level of soundFrom the question, we have the following parameters that can be used in our computation:
I0 = 10^-12
I = 10^-8
Also, we have the equation to be
β = 10log(I I0)
Substitute the known values in the above equation, so, we have the following representation
β = 10 * log(10^-12 * 10^-8)
Evaluate
β = -200
Hence, the level of sound is -200
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Complete question
use the following information for determining sound intensity. The level of sound β in decibels, with an intensity of I, is given by β = 10log(I I0), where l0 is an intensity of 10^-12 watt per square meter, corresponding roughly to the faintest sound that can be heard by the human ear find the level of sound β. l = 10^-8 watt per m^2 (quiet radio)
7, 10, 4, 7, 1, 4, -2, 1, -5, ?
Answer:
-5, -2, 1, 4, 4, 7, 7, 10
Step-by-step explanation:
that is the answer to that.
HELP ME PLEASEEEEEEEEE
Answer:
The answer is a.
Step-by-step explanation:
M < 7
Hope that helps!
Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
6. The tables show the monthly costs for two different Internet service providers.
What will be the difference in the cost of the two plans after 18 months?
Company A
Month, x
1
234
Total Cost ($), y
75
110
145
180
Company B
Month, x
1
2
3
4
Total Cost ($), y
60
110
160
210
Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.
What will be the cost for the two plants after 18 months?By following the sequence provided on the table, let's calculate the cost for each plant:
Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.
Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910
Now, let's calculate the difference in cost:
910 - 670 = 240
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Is this correct or incorrect …..
A zero has the same meaning as the vertex.
What is a vertex?The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.
The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.
Thus, a zero has the same meaning as the vertex.
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Determine whether the following statement is true or false. {x| x is a natural number less than 7} ={1. 2. 3. 4. 5, 6} Is the statement true or false?
{x| x is a natural number less than 7} ={1. 2. 3. 4. 5, 6}. The statement is true.
What is a natural number?
Natural numbers are all positive numbers that range from 1 to infinity and are consequently a part of the number system. Natural numbers are frequently referred to be counting numbers because they don't contain zero or negative numbers. They are a subset of real numbers that only contains positive integers and excludes all other types of numbers, such as negative, zero, fractional, and decimal.
It is in set builder form of set represenation.
A set consists of elements represented inside flower brackets { }.
Read as x such that x belongs to natural numbers less than 7.
Natural numbers starts from 1,2,3 .... to infinity.
Natural numbers less than 7 means
1,2,3,4,5,6
Represented in set as
{1,2,3,4,5,6}
Hence the statement is true.
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A bookstore has 4320 books and magazines. It has 2169 books. The rest are does the bookstore have? magazines. How many magazines
Answer: 2151 magazines
Step-by-step explanation: First subtract the whole number of books and magazines by the number of books and you'll find your answers.
11/3=
7/2=
14/5=
21/4=
Answer:
1 (3.66)
2(3.5)
3(5.25)
Which property was used to solve the equation?
5x=20
5x/5=20/5
x=4
Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality
I need some help with this problem
Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))
In 2010 you purchased your home for $264,000. Today, you sold your home for $389,000. You have purchased a new home for $428,000 and have put down a
deposit of 20%. How much money do you have left over from the selling of your home?
Please enter your answer without a dollar sign or spaces.
The calculated amount of money you have left over is $39,400
Calculating how much money you have left overFrom the question, we have the following parameters that can be used in our computation:
Cost price in 2010 = $264,000
Selling price today = $389,000.
This means that the profit is
Profit = 389,000 - 264,000
Evaluate
Profit = 125000
You have purchased a new home for $428,000 at 20% deposit
So, we have amount left is
Amount = 125000 - 20% * 428,000
Evaluate
Amount = 39400
Hence, the amount of money you have left over is $39400
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pls help me for brainleist
If in one batch of cookies, you used 6 cups of dough and 2 cups of chocolate chips. How many cups of chocolate chips will you need to make two batches of cookies?
Answer:
12 cups of dough, 4 cups of chocolate
Step-by-step explanation:
Please help I need help asap!!! please show work <3
Step-by-step explanation:
(5x⁴y⁵).(2x²y‐⁵)
5×2=10
x⁴×x²= x⁶
y⁵×y-⁵=y⁰
so the answer is 10x⁶y⁰
Complete the expression so that it is equivalent to 2 (x+6)
The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.
What is an expression?
A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
Given expression is
2 (x+6)
Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.
The mathematical representation is a(b+c) = ab + ac.
Apply the Distributive property in the given expression:
(2×x) + (2×6)
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Dove for x in the diagram below.
If f(x)=2x and g(x)=x−3, then find f(x)·g(x).
Question 19 options:
2x2−6x
2x2−6
2x2−3
3x−3
Answer:
2x^2 - 6x
Step-by-step explanation:
2x(x-3)
= 2x^2 - 6x
A hexagonal-based pyramid has a side length of 6 inches and an
apothem of 8 inches. Its volume is 3168 in³. What is the height of
the pyramid?
The height of the hexagonal-based pyramid is approximately 101.61 inches.
To find the height of the hexagonal-based pyramid, we can use the formula for the volume of a pyramid:
Volume = (1/3) × Base Area × Height
In this case, the base of the pyramid is a regular hexagon, and we have the side length (s) and apothem (a) given.
The base area of a regular hexagon can be calculated using the formula:
Base Area = (3√3/2) × s²
Let's calculate the base area first:
Base Area = (3√3/2) × (6 in)²
Base Area = (3√3/2) × 36 in²
Base Area ≈ 93.53 in²
Now, we can rearrange the volume formula to solve for the height:
Height = Volume / ((1/3) × Base Area)
Height = 3168 in³ / ((1/3) × 93.53 in²)
Height = 3168 in³ / (31.177 in²)
Height ≈ 101.61 in
Therefore, the height of the hexagonal-based pyramid is approximately 101.61 inches.
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4 children each have some beads, the mean number of beads is 8 Rajiv brings some more beads. The mean number of 5 children is now 9 what is the numberx of beads Rajiv brings
Answer:
The number of beads Rajiv brings is: 13Step-by-step explanation:
Make a plan:In this question, we need to use the formula of means to solve the. We can set the number of beads Rajiv brings as X, and use the formula of mean to get the total number of beads that the Four(4) children have and the total number of beads that the Five(5) children have.
Solve the problem:Four(4) children each have some beads, the mean number of beads is: 8
We can get the total number of beads the Four(4) children have:4 * 8 = 32
Rajiv brings some more beads:We set the number of beads Rajiv brings as:
x, so the total number of beads that the Five(5) children have is:
32 + x
The mean number of the Five(5) children is now: 9
We can get the total number of beads that the Five(5) children have:5 * 9 = 45
Now, we have the equation:32 + x = 45
x + 32 = 45
- 32 = -32
x = 13
By solving the above equation, you can get:
x = 13
Hence, The number of beads Rajiv brings is:13
Hope this helps!
The probability of getting heads on a single coin flip is ;
2
The probability of getting nothing but heads
on a series of coin flips decreases by
2
for each additional coin flip. Enter an exponential function for the
probability p(n) of getting all heads in a series of n coin flips. Give your answer in the form a (b)'. In the
event that a = 1, give your answer in the form (b)'.
Aria is trying to build up her savings. Which are the three most helpful questions she should ask herself before making a purchase?
A grasshopper jumps from (4, 0) to (20, 0), where the x-axis represents horizontal distance and the y-axis represents the vertical distance from the ground, forming a parabola as it goes. Morgyn wants to write the equation of the parabola in standard form. What other piece of information does she need?
Answer:
The maximum value of the function
Step-by-step explanation:
took the quick check xd <3
which parent functions have a y-intercept at (0,0)? select all that apply
Answer: A,E or F.
Step-by-step explanation: That's the only ones that have X's and then x is 0