Equivalent system
Explanation
\(\begin{gathered} y=-x+4\text{ Equation(1)} \\ 2x+2y=8\text{ Equation(2)} \end{gathered}\)
Step 1
replace equatin (1) in equatin(2)
\(\begin{gathered} 2x+2y=8 \\ 2x+2(-x+4)=8 \\ 2x-2x+8=8 \\ 8=8 \\ \text{subtract 8 in both sides} \\ 8-8=8-8 \\ 0=0 \end{gathered}\)This equation happens to have an infinite number of solutions. the two equations are for the same line,it is a equivalent system
Help
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Answer:
hi
Step-by-step explanation:
\( {5}^{2} + {x}^{2} = {7}^{2} \\ 25 + {x}^{2} = 49 \\ {x}^{2} = 49 - 25 \\ {x}^{2} = 24 \\ x = \sqrt{24} \)
have a nice day
Noah found a shirt at the nearby clothing store that was 20 percent off. The total price after the discount is $58.20, which includes $3.80 in taxes.
The original price of the shirt was $68
How to find the original price?We know that the price after a discount of the 20% and an added $3.80 in taxes is $58.20
Then we can write:
$58.20 = P*(1 - 0.2) + $3.80
Where the factor (1- 0.2) corresponds to a discount of 20%.
Solving that for P we will get:
P = ($58.20 - $3.80)/0.8
P = $68
That is the original price of the shirt.
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Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answer: C
Step-by-step explanation:
Instructions: Identify the key features of the following graph. If the Domain is all real numbers, type in 'All Real" into the Domain box
Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)
How to determine the key features?Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:
Vertex: The graph's vertex is at (-1, -5), which indicates that the graph extends upwards (because y = -5 is the minimal value).A vertical line at x = -1 serves as the graph's axis of symmetry. The graph is split into two symmetrical sections by this line.Y-intercept: The graph's y-intercept is at (0, -3), which indicates that here is where the graph and y-axis connect.The graph has a minimum point at y = -5, which is also the vertex of the graph and the lowest point on it.The graph's domain is set as "All Real" or "(-, )", which signifies that it spans all real values on the x-axis horizontally.Range: The graph's range is defined as y -5, which indicates that it climbs vertically from -5 and above on the y-axis.The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).
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what's the slope for coordinates (-3,2) (3,-3)
Answer:
-5/6
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (-3 - 2)/[3 - (-3)] = -5/6
Answer:
-5/6
Step-by-step explanation:
Help ASAP PLSSSSSSSSSSSSSSS
Answer:
=12x+42
Step-by-step explanation:
−3(4x+2)+6(4x+8)
Answer: 12x+42
Step-by-step explanation: −3(4x+2)+6(4x+8)
(−3)(4x)+(−3)(2)+(6)(4x)+(6)(8)
−12x+−6+24x+48
(−12x+24x)+(−6+48)
12x+42
Find the 78th term of the arithmetic sequence
-12,-13,-14,
Answer:
-89
Step-by-step explanation:
The first term of the sequence is a1 = -12.
The common difference between terms is ...
d = -13 -(-12) = -1
The generic term is given by ...
an = a1 +d(n -1)
Then the 78th term is ...
a78 = -12 +(-1)(78 -1) = -12 -77
a78 = -89
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The value of side TS is,
⇒ TS = 28
First, we are going to divide the figure and named new points X and Y as:
Now, we know that TS is the sum of TX and XS.
TS = TX + XS
Additionally, TX has the same length of HJ, so:
TX = HJ = 14
Now, we want to know the length of YK, and we can calculate it using the following equation:
LK = LY + YK
LY = HJ,
so, LY = 14
And, 42 = 14 + YK
42 - 14 = YK
28 = YK
Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:
XS = YK/2
XS = 28/2
XS = 14
Therefore, TS is equal to:
TS = TX + XS
TS = 14 + 14
TS = 28
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Find the area of a trapezoid with:
Base 1: 8
Base 2: 5
Height: 8
Area =
Answer:
52
Step-by-step explanation:
8+5=13
13x8=104
104/2=52 (divided)
Answer:
52
Step-by-step explanation:
I took the test
Congress is debating a proposed law to reduce tax rates. If the current tax rate is r%, then the proposed rate after x years is given by this formula: r/1+1/1+1rRewrite this formula as a simple fraction. Use your formula to calculate the new tax rate after 1 year, 2 years, 5 years, and 15 years. 1 year____2 years____5 years___15 years____
Would tax rates increase or decrease over time? O increase O decrease Congress claims that this law would ultimately cut peoples' tax rates by 75%. Do you believe this claim? Explain.
The simple fraction is \(= \frac{x + 1}{2x + 1}r\)
In math, what is a fraction?
A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction.
Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.
\(= \frac{r}{1 + \frac{1}{\frac{1 + 1/x }{} } }\)
\(= 1 + 1/x\)
= x + 1/x we have
= \(\frac{1}{x + 1/x}\)
\(= \frac{x}{x + 1}\)
\(= 1 + \frac{x}{x + 1}\)
\(= \frac{ 2x + 1}{x + 1}\)
r%*x+1/(2x+1)
\(= \frac{x + 1}{2x + 1}r\)
reduce to the appropriate fraction. The denominator was then brought up and the numerator down as I normalized.
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The complete question is -
Congress is debating a proposed law to reduce tax rates. If the current tax rate is r%, then the proposed rate after x years is given by this formula: r 1 1 1 1 x . Rewrite this formula as a simple fraction.
A campfire has a flame 24 inches tall after burning for 4 hours. After 6 hours, it is 20 inches tall. Write a linear equation to model the relationship between height h of the fire and time t. Predict how tall the fire will be after burning 8 hours.
(I dont have many points as this is a new account but i will mark brainiest if work is shown and correct answer)
The linear equation that model the above is h = 32 -2t and the height of fire after 8 hours is 16 inches
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
Using the equation for a straight line and writing similar
h = mt + c
h = height, t = hours m and c are constants
at h = 24, t = 4
Equation becomes
24 = 4m + c--------------1
at h = 20, t = 6
20 = 6m + c---------------2
Subtract equation 2 from 1 so that the eqution reduces to
4 = -2m
m = 4/-2
m = -2
substitute m in equation 1
24 = 4( -2) + c
24 = -8 + c
c = 32
substituting m and c in he linear equation above we have
h = 32 - 2t
After 8 hours, the height h = 32 -2(8) which is 16 inches
In conclusion the linear equation is h = 32 - 2t and the height of fire after 8 hours is 16 inches
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You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
What are the answers to these questions?
Step-by-step explanation:
the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.
therefore, for our example here the negative case would be
2.5x - 6.8 = -12.9
which gives us
2.5x = -6.1
x = -6.1/2.5 = -2.44
and the positive case would be
2.5x - 6.8 = 12.9
and that gives us
2.5x = 19.7
x = 19.7/2.5 = 7.88
A 2-gallon container of disinfectant costs $20.48. What is the price per cup?
Answer:
$0.64 per cup
Step-by-step explanation:
There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:
1 gallon: 16 cups
2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups
So we need to find the price of each cup:
1 cup = ($20.48 / 32 cups) = $0.64 per cup.
Please answer these all of these (If you can), and I know you can search it on go ogle so I need a detailed show of how you did it.
Questions
-22 + 8x = 28x - 42
-11x - 2 = 6 - 10x
4x + 8 = -13 + 7x
2x + 8 = x - 7
7.2.8 Scientists at the Hopkins Memorial Forest in western Mas- sachusetts have been collecting meteorological and environmen- tal data in the forest data for more than 100 years. In the past few years, sulfate content in water samples from Birch Brook has averaged 7.48 mg/L with a standard deviation of 1.60 mg/L. a. What is the standard error of the sulfate in a collection of 10 water samples
Answer:
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard error \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Standard deviation of 1.60 mg/L.
This means that \(\sigma = 1.6\)
Collection of 10 samples:
This means that \(n = 10, s = \frac{1.6}{\sqrt{10}} = 0.506\)
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
A local hamburger shop sold a combined total of 769 hamburgers and cheeseburgers on Saturday. There were 69 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?
Answer:
If you subtract 69 from 769 giving you 700 and divide by 2. You will be get 350 hamburgers and 419 cheeseburgers.
could someone help me super fast? no fake answers please
optionally could someone help me too with any of the other questions on my profile they are worth 50 points each too
Answer:
(a) graph iii)
(b) graph v)
(c) graph ii)
(d) graph iv)
Step-by-step explanation:
All given equations are in vertex form: y = (x - h)² + k
where (h, k) is the vertex of the parabola
The vertex is the turning point of the parabola, so the minimum point for parabolas that open upward, and the maximum point for parabolas that open downward.
Vertices of the given graphs:
i) (-3, 2)
ii) (-3, -2)
iii) (2, 3)
iv) (3, 2)
v) (-2, -3)
vi) (2, -3)
Part (a)
Given equation: y = (x - 2)² + 3
Therefore, the vertex is (2, 3) → graph iii)
Part (b)
Given equation: y = (x + 2)² - 3
Therefore, the vertex is (-2, -3) → graph v)
Part (c)
Given equation: y = (x + 3)² - 2
Therefore, the vertex is (-3, -2) → graph ii)
Part (d)
Given equation: y = (x - 3)² + 2
Therefore, the vertex is (3, 2) → graph iv)
Vertex form of parabola having vertex (h,k)
y=a(x-h)²+k#1
y=a(x-2)²+3Vertex (2,3)
Graph III#2
y=(x+2)²-3Vertex (-2,-3)
Graph V#3
y=(x+3)²-2Vertex (-3,-2)
Graph II#4
y=(x-3)²+2Vertex (3,2)
Graph IVEvan and Brayden want to know if they have more X Box games than Reid and Bryce do
combined. Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of
boys has more? How much more do they have?
Answer:
Step-by-step explanation:
Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of boys has more? How much more do they have?
Reid and Rryce have more. If you add 43 and 42 you get 85 and when you add 76 and 23 you get 99. So now subtract 99 and 23 which is 76.
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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What shape is this cross-section?
A. Rectangle
B. Pyramid
O C. Trapezoid
D. Triangle
If you're referring to the actual 3D shape, that would be a rectangle. If you're referring to the shape in the middle, it would be a Trapezoid.
Answer:
A. Rectangle
Step-by-step explanation:
It is a rectangle, not any of the other shapes listed in the other answer choices.
Hope this helps! :)
Pamela had $17. She bought 7 burgers for $5.50 and 2 kilograms of orange for $5.30. Find the remaining amount she has now.
$4.20
$5
$6
$6.20
Answer:
$ 6.20 Cents
Step-by-step explanation:
17 - 5.50= 11.5
11.50 - 5.30= 6.2
Add A Zero at the end
You Get 6.20
Need help please confused
Answer:
a. 11.6 (rounded to nearest tenth)
b. Yes
Step-by-step explanation:
a²+b² = c²
6²+10² = c²
36²+100 = c²
136 = c²
√136 = √c²
11.6 = c
b. because 11.6 is the hypotenuse (longest side length) and there is 6 and 10 as the shorter leg lengths.
What are the answers to this?
Answer:
u should better search the google or this site www.edkasa.edu.pk u will defiantly find the answer.
what is the slope of the line that passes through the points (3,6) and (1,2)? write your answer i’m simplest form.
Answer:
Slope (m) = 2
Step-by-step explanation:
Here's the full equation⤵⤵⤵
\(y = 2x\)
Picture of graph (labeled) is above⤴⤴⤴
Hope this helped :)
Answer:
2
Step-by-step explanation:
two;)
4x+3=19
Solve for x and simplify?
What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters
On a map, 1 inch equals 20 miles. If two cities are 3 inches apart on the map, how far are they actually apart?
Answer: 60 miles
Step-by-step explanation:
1 in. times 3 = 3 in
20 mi times 3 = 60 mi.
PLS AMSWER ASAP I WILL MARK BRAINLIEST DONT ANSWER IF YOUR NOT SURE THIS IS DUE VERY SOON
Answer: point B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Absolute value negates positive or negative values, therefore the larger number wins (e.g |6|=6, |-7|=7)
I hope this helps and good luck!
Use the IQR to determine if any of the data in the data set are outliers.
{23,80,43,23,0,20,23,23,20,28}
Using the IQR, the only outlier in the data set is: 0.
What is the IQR of a Data Set?IQR = upper quartile (Q3) - lower quartile (Q1).
Given the data set, 23,80,43,23,0,20,23,23,20,28:
Quartile (Q1): 20
Quartile (Q3): 31.75
IQR = 31.75 - 20 = 11.75
The outliers are data values that lie below:
Q1 - (1.5 × IQR) = 20 - (1.5 × 11.75) = 2.375
And data values that are above:
Q3 + (1.5 × IQR) = 31.75 + (1.5 × 11.75) = 49.375
Therefore, the only outlier is: 0.
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