Answer:
1.
8x + 6y = 28
9x + 3y = 39
Set to equal y.
8x + 6y = 28
6y = -8x + 28
y = -8/6x + 28/6
y = -4/3x + 14/3
9x + 3y = 39
3y = -9x + 39
y = -9/3x + 39/3
y = -3x + 13
Set equal to each other.
-4/3x + 14/3 = -3x + 13
Combine like terms.
5/3x = 25/3
Multiply by 3/5
x = 5
Plug x in.
y = -3(5) + 13
y = -15 + 13
y = -2
(5, -2)
2.
-2x - 9y = -3
-7x - 9y= -33
Set equal to y.
-2x - 9y = -3
-9y = 2x - 3
y = -2/9x + 3/9
y = -2/9x + 1/3
-7x - 9y= -33
-9y = 7x - 33
y = -7/9x + 33/9
y = -7/9x + 11/3
Set equal to each other
-2/9x + 1/3 = -2/9x + 1/3
0 = 0
infinitely many solutions
For what value of a does (1/7)^3a+3=343^a-1
Answer:
the answer is 0
Step-by-step explanation:
edge 2022
Let the demand function for a product be given by the function
D
(
q
)
=
−
1.85
q
+
240
, where
q
is the quantity of items in demand and
D
(
q
)
is the price per item, in dollars, that can be charged when
q
units are sold. Suppose fixed costs of production for this item are
$
3
,
000
and variable costs are
$
4
per item produced. If
100
items are produced and sold, find the following:
A) The total revenue from selling
100
items (to the nearest penny).
Answer: $
B) The total costs to produce
100
items (to the nearest penny).
Answer: $
C) The total profits to produce
100
items (to the nearest penny. Profits may or may not be negative.).
Answer: $
The inverse demand function of the given demand function is p = 50 - q/2.
A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.
The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.
Given demand function: q = 100 - 2p.
To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:
q = 100 - 2p,
or, 2p = 100 - q,
or, p = 100/2 - q/2,
or, p = 50 - q/2.
Thus, the inverse demand function of the given demand function is p = 50 - q/2.
Learn more about inverse functions at:
brainly.com/question/3831584
#SPJ1
For what value of x is the rational expression below undefined x-4/x-6
Answer:
\( x-6 \neq 0\)
And from this condition we have that:
\( x \neq 6\)
So then the function is not defined for \( x=6\) and we will have and asymptote in the function for this value of x and would be defined in the rest of the values of x
Step-by-step explanation:
We assume that we have the following expression:
\( \frac{x-4}{x-6}\)
So then we have a rational expression and we want to find for which value of x the function is not defined. And we can focus for this case in the denominator since we can't divide by 0. So then we can create the following rule:
\( x-6 \neq 0\)
And from this condition we have that:
\( x \neq 6\)
So then the function is not defined for \( x=6\) and we will have and asymptote in the function for this value of x and would be defined in the rest of the values of x
anyone please help mee with geometry
Answer:
y = 5
Step-by-step explanation:
Because of the perpendicular bisector, we know that WZ is congruent to WX. Therfore, we can set their equations as equal to eachother and solve for y.
What is the slope of the line
Step-by-step explanation:
Look at the points (0,-3) and ( 3,0)
slope, m = rise / run = 3 / 3 = 1
Answer:
1
Step-by-step explanation:
y=x+3
How to solve adjacent angles?
Answer:
D
Step-by-step explanation:
1 + 4x and 57° are corresponding angles and are congruent , so
1 + 4x = 57 ( subtract 1 from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
Sundeep mixed 300 mL of water with 100 mL of sugar. She says "the total volume is
300 mL + 100 mL = 400 mL." Do you agree with Sundeep? Explain why or why not.
No, I don't agree with Sundeep. The mixture wont simply add up
How to show the volume will not be 400 mlWhen two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.
When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.
The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.
Learn more about water and sugar mixture at:
https://brainly.com/question/8910704
#SPJ1
How to write (-8,-4) and (-6,-1) in slope- intercept form
Answer: = (-8,-4)(-6,-1)=54
Step-by-step explanation:
The volume of a pyramid is one-third of the area of the base B times the height h. As a formula, this is written as V= 1/3Bh. Which unit of measure would be appropriate for B?
Answer:
Square inches
Step-by-step explanation:
B equals area and the area unit is always square
Susan bought a 1 kilogram bag of grapes. On the way home, she ate 125 grams of the grapes. How many grams of grapes does Susan have left? use math language and symbols to explain how you used the correct measurement units to solve the problem.
Susan has 875 grams of grapes left.
1. Susan bought a 1 kilogram bag of grapes, which is equivalent to 1000 grams (since there are 1000 grams in a kilogram).
2. Susan ate 125 grams of the grapes on her way home.
3. To find out how many grams of grapes Susan has left, we need to subtract the amount she ate from the initial weight of the bag. Therefore, we subtract 125 grams from 1000 grams.
1000 grams - 125 grams = 875 grams
4. Thus, Susan has 875 grams of grapes left.
measurement units:
In this problem, we used grams as the measurement unit. Grams are commonly used to measure the weight of small objects like grapes. Since the problem stated that Susan bought a 1 kilogram bag of grapes, it was necessary to convert the kilogram measurement to grams.
This conversion was done by multiplying the kilogram value by 1000 (1 kilogram = 1000 grams). By using the correct measurement units, we were able to accurately calculate the amount of grapes Susan had left after eating a portion.
For more such questions on grams, click on:
https://brainly.com/question/29255021
#SPJ8
Fill in the blank with a number to make the expression a perfect square.
which property of exponents must you apply to the express p 1/2 to derive p as the result
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
For more such questions on square root
https://brainly.com/question/428672
#SPJ8
A 10.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 47degree 44’ with the horizontal
The distance, d, that the ladder goes up the wall (above the fire truck) is approximately 7.76 meters.
1. Convert the angle from degrees and minutes to decimal form.
47 degrees 44' = 47 + (44/60) = 47.7333 degrees (rounded to four decimal places)
2. Use trigonometric ratios to find the length of the side opposite the angle.
sin(47.7333) = Opposite / Hypotenuse
3. Rearrange the formula to solve for the Opposite side.
Opposite = sin(47.7333) * Hypotenuse
4. Substitute the known values into the equation.
Opposite = sin(47.7333) * 10.5 meters
5. Calculate the value of sin(47.7333) using a calculator.
sin(47.7333) ≈ 0.7431
6. Substitute the value of sin(47.7333) and the given value of Hypotenuse into the equation.
Opposite = 0.7431 * 10.5 meters
7. Calculate the value of Opposite.
Opposite ≈ 7.76 meters
Therefore, the distance, d, that the ladder goes up the wall (above the fire truck) is approximately 7.76 meters.
For more such questions on distance, click on:
https://brainly.com/question/30395212
#SPJ8
What is the radius of this circle !! Please answer
Answer:
its half of 8 so 8/2=4
Step-by-step explanation:
Answer:
4cm
Step-by-step explanation:
The diameter is double the radius of a circle.
Here, the diameter is 8cm so the radius will be half of it (8/2)=4.
Hope this helps you :)
Write the even numbers between 38 and 50.
Answer:
38,40,42,44,46,48...50
Step-by-step explanation:
even numbers are numbers that can be divided by 2 without any remainders
so the even numbers btw 38_50 are above✌
Question from quadratic equation .
solve.
(x-3)(x+7)=0
Answer:
x = 3, -7
Step-by-step explanation:
Since you already have the factored form, all you need to do is set the equations equal to zero to find you roots:
x - 3 = 0
x + 7 = 0
x = 3, -7
Answer:
3 or -7
Step-by-step explanation:
For it to equal 0, x must be 3 or -7 because anything multiplied by 0 is 0. So you take each part, x-3 and see how you can make that a 0. x-3=0, therefore x must be 3. Other part x+7=0, x must be -7.
Solve for x.
(Round to the nearest hundredth)
Answer:
x=26.44
rounded to the nearest hundredth.
Step-by-step explanation:
Soh Cah Toa
We need opposite for x and adjacent for 44
Length × Tan (Angle)
44 × Tan (31)=26.43786724
help pleaseeeeee
1.) In the number 546,789, what digit indicates the value of "one hundred thousand"?
2.) What is the expanded notation of 8843?
3.) Write the following number in words: 38,403,277
Answer:
1.) 5
2.) 8,000 + 800 + 40 + 3
3.) Thirty-eight million, four-hundred and three thousand, two-hundred and seventy-seven.
Step-by-step explanation:
1.) In the number 546,789, what digit indicates the value of "one hundred thousand"? 5
2.) What is the expanded notation of 8843?
8,000 + 800 + 40 + 3
3.) Write the following number in words: 38,403,277
Thirty-eight million, four-hundred and three thousand, two-hundred and seventy-seven.
Hope this helps!
Evaluate. (jk - 1 ) + j when j = - 4 and k = 5
Answer:
Step-by-step explanation:
(-4*5 - 1) + (-4)
(-20 - 1) - 4
-21 - 4
-25
At the middle school, 900 students ride the bus, and 300 students do not ride the bus. What percent of the students do not ride the bus?
Answer:
33.33 percent are not riding the bus
Step-by-step explanation:
Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
Answer: It will be A that is the best answers
all I need is the unit rate and the last one so only two please help
The park charges $3 admission and $2 per ride
Let the number of rides = x
so,
The total cost = y
\(y=2x+3\)The graph of the function will be as following:
The table between x and y will be as following:
rate of charge = $2 per ride
The equation will be : y = 2x +3
Select the correct answer. Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer: C
she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.
Homer sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.25. At the end of the day, Homer has sold $55.50 worth of cookies and cupcakes. If he sold 54 cupcakes and cookies combined, how many cupcakes were sold and how many cookies were sold
Answer: 21 cupcakes and 33 cookies were sold.
Step-by-step explanation:
Let x= Number of cupcakes
y = Number of cookies
As per given,
x+y= 54 (i)
Cost: 2.25x+0.25y=55.50 (ii)
Multiply 0.25 to (i0, we get
0.25x+0.25y = 0.25(54)
⇒0.25x+0.25y = 13.5 (iii)
subtract (iii) from (ii), we get
2x=42
Divide both sides by 2, we get x= 21
Put this in (i) , we get 21+y =54 ⇒ y= 54-21= 33
Hence, 21 cupcakes and 33 cookies were sold.
A block has a Volume of 36 cubic units it has 9 layers of cubic units.How many cubic units are in each layer
Answer:
4
Step-by-step explanation:
all you need to do to figure it out is to divide 36 by 9 like
36 divided by 9
Determine which point is the solution to the given system. y= -7/2 x + 32 y= 4/5 x -11
Answer:
(10, -3)
Step-by-step explanation:
\(-\frac{7}{2}x+32=\frac{4}{5}x-11 \\ \\ -35x+320=8x-110 \\ \\ -43x=-430 \\ \\ x=10 \\ \\ \therefore y=-\frac{7}{2}(10)+32=-3\)
Help please i just wanna pass
P= $16,000, r= 10%, t= 180 days
Assume 360 days in a year.
Determine the unknown length. Round your answer to the nearest tenth, if necessary.
Answer:
16
Step-by-step explanation:
a^2+b^2=c^2
a^2+12^2=20^2
144+a^2=400
a^2=256
a=16
Evaluate g(x)=4−3x when x=−3, 0, and 5.
g (-3) __
g(0) __
g(5) __
Answer:
g(-3)=13, g(0)=4 and g(5)= -11
Answer:
Step-by-step explanation:
g(-3) = 4 - 3(-3) = 13
g(0) = 4 - 3(0) = 4
g(5) = 4 - 3(5) = -11