Problem
Using the following image, find the midpoint of the line by completing the problems below.
Solution
The midpoint is ( Answer
, Answer
).
Answers
Given the initial point( x₁,y₁) and the final point( x₂,y₂ ), the midpoint of the line is ( 1, 1 ).
What is the midpoint of the line in the graph?From the graph;
Point 1 : ( x₁ = 0, y₁ = 4 )Point 2: ( x₂ = 2, y₂ = -2 )Midpoint = ?Using midpoint formula;
[tex]( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
We substitute in our values
[tex]( \frac{0+2}{2},\frac{4+(-2)}{2}) \\\\( \frac{2}{2},\frac{4-2)}{2}) \\\\( \frac{2}{2},\frac{2}{2}) \\\\( 1, 1 )[/tex]
Given the initial point( x₁,y₁) and the final point( x₂,y₂ ), the midpoint of the line is ( 1, 1 ).
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Related Questions
Using a supply and demand graph for gasoline starting at an equilibrium price of $5.00 per gallon and a quantity of 20
gallons, show the effect of a government price ceiling on gasoline of $2.50 a gallon. Is this a binding price ceiling? Why
or wy not? Please explain.
Answers
Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.
2. The effect of a government price ceiling on gasoline of $2.50 a gallon is shown in the image attached. There is a binding at $2.00.
3. As price increases, demand also increases in times of gasoline because due to the war, Russia have refuse selling their oil and as such, this has lead to increase demand on the gasolines on ground.
What is Binding Price Ceiling?
A binding price ceiling is one that often takes place if the government are known to have set up a standard price on a good or goods at a specific price that is below equilibrium.
Therefore, to the number one question, we respond Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.
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How can you tell if 3 given angles form a triangle?
Answers
Answer:
You can tell if the sum of the degrees of all the angles adds up to 180.
Write an equation that represents the line
Answers
Answer:
y=2/3x±3
Step-by-step explanation:
use the formula y=MX+b m being alive b being the y intercept
Hello,
f(x) = ax + b
We know f(0) = 3 = b
a = ∆y/∆x = 3/2
equation that represents the line → y = 3/2x + 3
If
f(x) = 2x² - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [?]x² + [?]x + [?]
Answers
Answer:
f(g(x)) = 50x² + 140x + 93
Step-by-step explanation:
f(g(x)) means that within the f(x) equation, you want to replace all of the x variables with the g(x) equation.
So,
f(g(x)) = 2 (5x+7)² -5
= 2 ( 25x²+ 70x + 49) - 5
= 50x² + 140x + 93
:)
A beekeeper’s hives are making honey at a constant rate. The profit from honey can be represented by the equation
P(t) = -16t2 + 2050t + 150, where t is the time in days and P(t) is the profit the beekeeper receives. After how many days should she harvest her honey to maximize profit?
Answers
Using the vertex of a quadratic function, she should harvest her honey after 64 days to maximize profit.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.The profit function is given as follows:
P(t) = -16t² + 2050t + 150.
The coefficients are a = -16 < 0, b = 2050, c = 150, hence the t-value of the vertex is:
[tex]t_v = -\frac{b}{2a} = -\frac{2050}{-32} = 64[/tex]
Hence she should harvest her honey after 64 days to maximize profit.
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Solve the system.
{3x+ 2y=8
{3x+3=y
Answers
Let's take this problem step-by-step:
Note:
'-- (1), -- (2), etc.' are equation markers used to show steps
First step, isolate all the variables to one side and constant to the other
[tex]3x + 2y = 8--(1)\\3x-y=-3--(2)[/tex]
Second step: (1) - (2)
[tex](1) - (2)\\3x + 2y-(3x-y)=8-(-3)\\2y + y=11\\3y = 11\\y = \frac{11}{3} --(3)[/tex]
Third step: Plug (3)'s value of y into (2)
[tex](3)_.into_.(2)\\3x -\frac{11}{3} = -3\\3x = \frac{11}{3}-3\\ 3x = \frac{11-9}{3} \\3x = \frac{2}{3} \\x=\frac{2}{9}[/tex]
Answer: x = 2/9, y = 11/3
Hope that helps!
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Answer:
3x+ 2y=8 ⇒ ( 1 )
3x+3=y ⇒ ( 2 )
First, let us take the equation (1).
We can replace y with ( 3x + 3 ).
Solving the below expression let us find the value of x.
[tex]3x + 2y = 8\\3x + 2 ( 3x + 3 ) = 8\\3x + 6x + 6 = 8\\9x + 6 = 8\\9x = 8 - 6\\9x = 2\\x = \frac{2}{9}[/tex]
And now let us take equation ( 2) to find the value of y.
For that let us replace x with 2/9.
Let us find it now.
[tex]3x+3=y\\\\3*\frac{2}{9} +3=y\\ \\\frac{6}{9} +3=y\\ \\\frac{6}{9} +\frac{3}{1} =y\\\\\frac{6}{9} +\frac{3*9}{1*9} =y\\\\\frac{6}{9} +\frac{3*9}{1*9} =y\\\\\frac{6}{9} +\frac{27}{9} =y\\\\\frac{33}{9} =y\\\\\frac{11}{3} = y[/tex]
Aisha has a health insurance policy with an 80/20 coinsurance and deductible of $3,200. She has met 45% of her deductible before having
some tests done. Given the cost of her tests below, how much will she pay?
Bill #1- Blood Test = $345.25
Bill #2 - Allergy Test = $175.00
Bill #3- MRI = $920.65
Select one:
O a. $319.10
O b. $1,440.90
O c. $3,200.00
O d. $1,760.00
Answers
The payment for the test based on the information about the insurance will be B. $1440.90.
How to compute the value?The cost for the payment will be:
= Blood test expenses + Allergy test - MRI expenses
= $345.25 + $175.00 + $920.65
= $1440.90
Therefore, the payment for the test based on the information about the insurance will be $1440.90
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Please help me with this on the picture.
Answers
Answer:
year 7 mean: ≈7.714
year 8 mean: 14
Step-by-step explanation:
mean = sum / number of observations
number of observations = 5, as there are 5 bars for each year
year 7 is the bar on the left for each day
observations for year 7:
5, 8, 9, 13, 19 (left to right)
sum = 5 + 8 + 9 + 13 + 19 = 54 for year 7
mean for year 7 = 54 / 7 ≈ 7.714
observations for year 8 (left to right):
10, 11, 18, 12, 19
sum = 10 + 11 + 18 + 12 + 19 = 70
mean = 70 / 5 = 14
Which of the following is a solution to the equation ¾x-12=-18?
4.5
-22.5
-40
-8
Answers
[tex]\frak{Hi!}[/tex]
[tex]\orange\hspace{300pt}\above2[/tex]
We have the equation [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x-12=-18}}[/tex].
First we should add 12 to both sides of the equation.
[tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x=-18+12}}[/tex]. Simplify
[tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x=-6}}[/tex].
This done, let's multiply the equation by 4. You'll see why
[tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{\not4}x\times\not4=-6\times4}}[/tex]
Did you see how on the left, the 4's cancelled? That's
because dividing by 4 and then multiplying the same
number, or the result, by 4, are operations that undo each
other.
This being said, let's finish solving this equation in terms of x
[tex]\large\boldsymbol{\sf{3x=-24}}[/tex]. See how this works?
Now, remember that we ought to use inverse operations
to solve for x. These are operations that undo each other.
So if x is multiplied by 3, we should... divide by 3!
Also, please keep in mind that we can only divide the left side
by 3 if we divide the right side by 3.
[tex]\large\boldsymbol{\sf{\displaystyle\frac{3x}{3}=\displaystyle\frac{-24}{3}}}[/tex]. Once again the 3s on the left cancel, leaving
x. Wait! Isn't that what we wanted? Yepp, sure!
The right side is now -8. Thus,
[tex]\large\boldsymbol{\sf{x=-8}}[/tex]
[tex]\orange\hspace{300pt}\above3[/tex]
the eastern alberta DC transmission like is a project that began construction in 2012. It includes a 500km, 500kv power line from the brooks area to the edmonton area. (the V stands for volts, and SI unit for the electrical potential)
Answers
The number of the required towers based on the information given is 3334.
How to calculate the number?From the information given, it should be noted that the length of power line is 500km
The towers supporting the line are 1.5hm apart. It should be be noted that 1km = 10hm. Therefore, the require towers will be:
= (500 × 10)/1.5
= 3334
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Linear function model
Answers
Answer:
f(x) = 800 - 75x
Step-by-step explanation:
Rachel took a loan of 800 dollars | Money Owed: f(x) = 800
She pays back 75 dollars a week <-> (x) | Money Owed: f(x) = 800 - 75x
How many positive three-digit integers have the hundreds digit equal to 7 and the units (ones) digit equal to 1?
Answers
Using the Fundamental Counting Theorem, it is found that there are 10 positive three-digit integers have the hundreds digit equal to 7 and the units (ones) digit equal to 1.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
The number of options for each selection are given as follows, considering there are 10 possible digits, and that the last two are fixed at 7 and 1, respectively:
[tex]n_1 = 10, n_2 = n_3 = 1[/tex]
Hence, the number of integers is given by:
N = 10 x 1 x 1 = 10.
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Ten copper pennies having a total mass of 25 grams warm up from 23oC to 38oC as you hold in your hand. If the specific heat capacity of copper is 0.39 J/(g *oC), how much energy is absorbed by the pennies?
Answers
The amount of energy absorbed by the pennies made up of copper is 146.25J
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Amount of energy absorbed = mass * temperature change * specific heat capacity
Amount of energy absorbed = 25 * (38 - 23) * 0.39 = 146.25J
The amount of energy absorbed by the pennies made up of copper is 146.25J
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Suppose 20 cars start at a car race. In how many ways can the top 3 cars finish the race?
The number of different top three finishes possible for this race of 20 cars is
Answers
There are 6,840 different top 3 finishes.
In how many ways can the top 3 cars finish the race?We need to count the number of options for each position.
For the first position there are 20 possible options (20 cars).For the second position, there are 19 options (because one car is already on the first position).For the third position, there are 18 options.The number of different top 3 finishes is given by the product between the numbers of options, so we have:
20*19*18 = 6,840
There are 6,840 different top 3 finishes.
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The product of a number and the sum of six and five is equal to the sum of the number and thirteen. What is the number?
Answers
The number is 13 / 10
How to solve words problem using equation?The product of a number and the sum of six and five is equal to the sum of the number and thirteen.
Therefore,
let the number = x
x(6 + 5) = x + 13
Hence,
x(6 + 5) = x + 13
11x = x + 13
11x - x = 13
10x = 13
x = 13 / 10
Therefore, the number is 13 / 10
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Select the correct answer.
Consider the graph of function f below.
Y
-8 -4
8+
O
A
O
4
-4-
-8
The function g is a transformation of f. If g has a y-intercept at 4, which of the following functions could represent g?
4 8
O g(x)=f(x) + 4
g(x) = f(x-4)
g(x) = f(x) - 2
Og(x)=f(x + 2)
Answers
Answer:
742
Step-by-step explanation:
4x203
Therefore , the solution of the given problem of function comes out to be g(x) is given by g(x) = (x-4)² + 6
What is function ?A function is a mathematical representation of the relationship between a set of inputs, each of which has an associated output. A function is a group of inputs that, when combined, result in a single, recognized output for each input.
Here, we have,
Given the graph of the original function f(x), whose vertex is at (0, 0), and indeed the graph of the translating function g(x), whose vertex is at (0, 0), (5, 2).
Be aware that the translated function's vertex is 2 units higher and 5 units to the right of the f graph's graph (x).
The function f(x) is then translated 5 units toward the right и 2 units up to arrive at g(x).
Recall that provided a function, f(x), is characterized as a parabola with a vertex at (h, k).
=> f(x) = (x-h)² + k
The outcome of translating a unit to the right with b unit up is
=>f'(x) = (x-h-a)² + k + b
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need help with this question
Answers
The Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).
What is a conic section?It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (circle is a special of type of ellipse).
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
From the graph:
a) The domain: all values of x
The range: all values of y
Except: Values at asymptotes are excluded.
Domain = (-∞, -2) U (-2, 2) U (2, ∞)
Range = (-∞, -2) U [-1, ∞)
b)
x-intercept = (-1.5, 0), (1.5, 0)
y-intercept = (0, -1)
c) Horiznotal asymptotes: y = -2
d)Vetical asymptotes: x = -2, x = 2
e) Oblique asymptotes: There is no oblique asymptotes
Thus, the Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).
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Simplify: √36x² if x is less than or equal to 0
Answers
Answer:
[tex]-6x[/tex]
Step-by-step explanation:
[tex]\sqrt{36x^2} = 6\times\sqrt{x^2}\\\\=6\times-x\\\\=-6x[/tex]
translate the sentence into an equation rhoda's score decreased by 10 is 51 use r to represent rhoda's score
Answers
Answer: r - 10 = 51
Step-by-step explanation:
1. a. Determine the equation of a parent function for the parabola that has zeros 1,-5.
Determine the member equation that passes through the point (-2,-36)
Answers
The member equation which passes through the point (-2,-36) is y = 4 ( x-1)(x+5) .
What is a Parabola ?Parabola is a U shaped figure , whose all points are at a fixed distanced from a point called as focus and a line called as Directrix.
It is given that
The zeroes of the parabola is 1,-5.
The equation of the parabola is given by
y = a( x - x')(x-x'')
y = a( x-1)( x+5)
This is the equation for the parent function for the parabola
The parabola passes through the point ( -2 , -36 )
-36 = a( -2 -1)(-2+5)
-36 = (-3) * (3) a
-36 = -9 a
a = 4
y = 4 ( x-1)(x+5)
The member equation which passes through the point (-2,-36) is y = 4 ( x-1)(x+5) .
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Determine the amount needed such that when it comes time for retirement, an individual can make semiannual
withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. Round
your answer to the nearest cent.
$938,272.00
b. $941,790.00
$535,528.03
0
$547,577.41
Answers
Answer:
the correct answer is 0 54,577.41
Step-by-step explanation:
you needed to take the withdrawal amount divide it by 35 and divide that answer by the 4.5 percentage rate
Answer:
C. $535,528.03
Step-by-step explanation:
Trust me
Solve 10x=3
how do i take logarithms on both sides?
Answers
3/10=x
3/10=0.3
X=0.3
Answer:
x ≅ 0.477.
Step-by-step explanation:
You probably meant:
[tex]10^x = 3.[/tex]
If that is the case, then let's solve it:
[tex]10^x = 3\\\\log\,10^x=log\,3\\\\x = log\,3\\\\x = (approx.)\,\,0.477.[/tex]
3. What is the measure of angle HEK in this figure?
95
55
85
150
Answers
Answer:
95 is the correct answer
Step-by-step explanation:
The initial or beginning side is H. Look on the protractor and you will see the top number is 55 degrees. That is where we start. Now, go to line E, that is where we end. The top number is 150. To find <HEK, we need to subtract 55 from 150 to get 95.
Slope is given by the formula
Answers
Answer:
A
Step-by-step explanation:
Answer
You never add or subtract to get the slope. That makes C and D incorrect. B is the upside down of the answer.
Answer: the answer is A slope = rise / run
Equation P: a + b = 6
Equation Q: 4a + 2b = 19
Which of the following steps can be used to eliminate the a term?
−1(4a + 2b = 19)
−4(4a + 2b = 19)
−4(a + b = 6)
4(a + b = 6)
Answers
Answer:
-4(a + b = 6)
Step-by-step explanation:
When you multiply equation P by -4, you obtain -4a - 4b = -24. You can then add this equation to equation Q to eliminate the a term.
Solve the system of equations.
y+4z=0
4x+y-2z=2
-3x-3z=-9
Answers
Step-by-step explanation:
y+4z=0
4x+y-2z=2
-3x-3z=-9
Answer:
x = 7/3y = - 8/3z = 2/3Step-by-step explanation:
y + 4z = 0
4x + y - 2z = 2
____________ -
- 4x + 6z = - 2
- 4x + 6z = - 2 → times 3 → - 12x + 18z = - 6
- 3x - 3z = - 9 → times 4 → - 12x - 12z = - 36
- 12x + 18z = - 16
- 12x - 12z = - 36
______________ -
30z = 20
z = 20/30
z = 2/3
y + 4(2/3) = 0
y + 8/3 = 0
y = - 8/3
- 3x - 3z = - 9
- 3x - 3(2/3) = - 9
- 3x - 6/3 = - 9
- 3x - 2 = - 9
- 3x = - 9 + 2
- 3x = - 7
x = - 7/- 3
x = 7/3
modal mark of 1,2,3,4,5,6,7,8
Answers
Answer:
1
Step-by-step explanation:
the mode is the number that is repeated more often than any other numbers. the given numbers are 1,2,3,4,5,6,7,8 firstly, the numbers should be counted accordingly.
the number 1 is counted as 1.
the number 2 is counted as 1.
the number 3 is counted as 1.
the number 4 is counted as 1.
the number 5 is counted as 1.
the number 6 is counted as 1.
the number 7 is counted as 1.
the number 8 is counted as 1.
after counting the numbers, the maximum number counted (or) repeated most is 1 as 1 times.
the mode of the given values is 1.
Richard wants to purchase a Jeep. The purchase price of the Jeep is $ 42 , 000. The dealership will allow him to pay cash or finance the Jeep with a down payment of $ 4 , 000. and 72 monthly payments of $ 680. Richard chose to finance the jeep.
Answers
Answer:
Good for him for buying a Jeep
Step-by-step explanation:
WHAT IS THE CORRECT ANSWER ANSWER ASAP
Answers
Answer:
d
Step-by-step explanation:
Which of the following is correct based on this picture? A. none of these are correct B. sinZ=61/73 C. cosZ=61/73 D. tanZ=61/73
Answers
Answer:
C.) cosZ=61/73
Step-by-step explanation:
I hope you got the answer