Answer:
the answer is d
Step-by-step explanation:
edenuity2020. also I just did it
Practice 3
Solving a Special Solution inequality
17<3h+2<2
h>______
h <______
Answer:
h > 5
h < 0
Step-by-step explanation:
We suppose that a "Special Solution" inequality is one that is technically incorrect, but is written using a compact "shorthand" form.
As written, the inequality claims that 17 < 2, which is false. There can be no value of the variable that will make this true. We presume the intended meaning is ...
17 < 3h +2 or 3h +2 < 2
Special solutionSubtracting 2 from the inequality gives ...
15 < 3h < 0
Dividing by 3 gives ...
5 < h < 0
There is no value of h that is both greater than 5 and less than 0, so we presume this means the OR (union) of the solution sets ...
h > 5
h < 0
solve quadratic by completing the squarex^2 + 12x + 23 = 0which form do i use and solve(x+___)^2(x - ___) ^2solutionx = ___
Quadratics are in the general form:
\(ax^2+bx+c\)For completing the square, we use:
\((x+\frac{b}{2})^2=c+(\frac{b}{2})^2\)Now, we have:
\(\begin{gathered} (x+\frac{12}{2})^2=-23+(\frac{12}{2})^2 \\ (x+6)^2=-23+(6)^2 \\ (x+6)^2=13 \end{gathered}\)From here, we can easily solve for x with a little algebra. Shown below:
\(\begin{gathered} \sqrt[]{(x+6)^2}=\pm\sqrt[]{13} \\ x+6=\pm\sqrt[]{13} \\ x=-6\pm\sqrt[]{13} \end{gathered}\)The answer(s) are:
\(\begin{gathered} x=-6+\sqrt[]{13} \\ x=-6-\sqrt[]{13} \end{gathered}\)For further clarification
Form:
\((x+\frac{12}{2})^2=13\)grahp the equation y= 4x- 1 by plotting points.
To plot the graph of the equation, we need to find the points on the graph.
Given the equation;
\(y=4x-1\)Let us the corresponding values of y at x=0, 2 and 8;
\(\begin{gathered} At\text{ x=0;} \\ y=4(0)-1 \\ y=-1 \\ so\text{ we have point;} \\ (0,-1) \end{gathered}\)\(\begin{gathered} at\text{ x=2;} \\ y=4(2)-1 \\ y=8-1 \\ y=7 \\ (2,7) \end{gathered}\)\(\begin{gathered} at\text{ x=8} \\ y=4(8)-1 \\ y=32-1 \\ y=31 \\ (8,31) \end{gathered}\)Then let us plot the three points above on a graph and join the points;
The graph of the given equation is shown above, with the three points derived plotted and joined with a straight line.
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars went a combined total of 2100 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?
Answers:
First car = 40 gallonsSecond car = 25 gallons==========================================================
Explanation:
I'll denote the cars with the labels A and B.
Car A has a fuel rating of 40 mpg (miles per gallon) and car B gets 20 mpg.
Let,
x = number of gallons used by car Ay = number of gallons used by car BSince car A gets 40 mpg, and uses up x gallons, then it travels 40x miles. Multiply the fuel rating with the number of gallons used to determine the distance traveled. Car B travels 20y miles since it gets 20 mpg.
Overall, the two cars travel a combined distance of 40x+20y miles. This is set equal to the 2100 miles stated to form the equation 40x+20y = 2100.
Let's divided every term by 20
40x+20y = 2100
40x/20+20y/20 = 2100/20
2x+y = 105
Then isolate y to get
y = 105-2x
We'll use this equation later.
------------------------
The two cars use up a total of 65 gallons, which means,
x+y = 65
Then we'll plug in y = 105-2x and solve for x.
x+y = 65
x+105-2x = 65
-x+105 = 65
-x = 65-105
-x = -40
x = 40
Car A (the 40 mpg car) used 40 gallons. It traveled 40x = 40*40 = 1600 miles.
Car B (the 20 mpg car) used y = 105-2x = 105-2*40 = 25 gallons of gas. Or you could note that if x = 40, then x+y = 65 must lead to y = 25. It traveled 20y = 20*25 = 500 miles.
The two cars combined distance is 1600+500 = 2100 miles to help verify the answers.
Identify the correct graph of the system of equations.
3x + y = 12
x + 4y = 4
A recipe calls for 9 cups of flour to make 36 pancakes. How many pancakes can be made with a single cup of flour?
Answer:
4 pancakes....................
I need help on pages 18 3-7 I’ll give you brainliest
Select the correct answer. What is the approximate value of the correlation coefficient for the given graph? A.1B.5C.3D.-1
This coefficient gives an idea of the degree of correlation between the variables.
It takes values between -1 and 1
• If r = 0 then there is no linear correlation between X₁ and X₂ Graphically, the slope is cero
,• If r < 0 then there is a negative association between X₁ and X₂ (i.e. when one variable increases the other one decreases) In a graphic, the slope of the line is negative.
,• If r > 0 then there is a positive association between X₁ and X₂ (i.e. Both variables increase and decrease together)
The slope of this line is decresent, which means that the correlation coefficient is negative.
The points are usually ploted as dots in a coordinate system, the more they align into a line, the closer the coefficient will be to -1 or 1
In this case the ploted dots form a perfect line with negative slope so the value of the correlation coefficient is D. -1
1+9+40-40+40+10x2 equals what?
Answer:
70
Step-by-step explanation:
1+9+40-40+40+10*2
----------------------- 20
10+40-40+40+20
50 (-40+40 cancels out to 0) +20
50+20= 70
(Following PEMDAS)
Multiply, add, subtract.
if you were to instead go through it left to right, you would get 120, which is incorrect.
Simplify the radical expression by rationalizing the denominator. 4/√10 A. 2√10 B. 2√10/5 C. 10√4 D. √50/10
Answer:
Its 2√10/5. So B.
Step-by-step explanation:
I did it on paper.
The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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A: The perimeter of a rectangular garden is 376 m. If the length of the garden is 99 m, what is its width?
B: The area of a rectangular window is 7007 cm If the width of the window is 77 cm, what is his length?
Answer:
A) the width is 89
B) if area is 7007, the length is 91
Step-by-step explanation:
Answer:
A: 89 m
B: 91 m
Step-by-step explanation:
A: P=2(L+W)
P=2L+2W
P=2(99)+2W
2W=376-198=178
W=178/2=89m
B: A=L×W
7007=L×77
L=7007/77=91
L=9l m
Select the system of linear inequalities whose solution is graphed. O y < 3x-2, x + 2y > 4 O y ≤ 3x-2, x + 2y 2 4 O y> 3x-2, x + 2y < 4 O y2 3x-2, x + 2y ≤ 4
Option D is the correct answer.
From the graph, we can conclude that,
1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.
2. The points on the lines of the shaded region are also included in the solution.
The only option that matches with the above conditions is option D. So, option D is the correct answer.
Let us verify it.
Now, let us consider a point that is inside the shaded region and also on any one line.
Let us take (0, 2).
Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.
Considering the inequalities,
y ≥ 3x - 2
x + 2y ≤ 4
Solving we get,
2 ≥ 3(0) - 2
2 ≥ -2
x + 2y ≤ 4
0 + 2(2) ≤ 4
4 ≤ 4
Here, both inequalities are correct.
So, option D is the correct answer.
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The complete question is =
Which system of linear inequalities is graphed?
A. y < 3x-2
x + 2y ≥ 4
B. y < 3x - 2
x + 2y > 4
C. y > 3x - 2
x + 2y < 4
D. y ≥ 3x - 2
x + 2y ≤ 4
Add a term to the expression so tha it becomes a perfect square trinomial. Y^2-13y+
The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²
What is meant by a perfect square trinomial?
By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.
A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.
Given expression y² - 13y + ?
Comparing with the general equation
a = 1
b = -13
For perfect square trinomial
b² = 4ac
(-13)² = 4 * 1 * c
169 = 4c
c = 169/4
So the expression becomes,
y² - 13y + 169/4 = (y - 13/2)²
Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.
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A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
The drama club is participating in a bake sale to help them raise money for their next show. They want to raise $475. They have to pay $25 to have a table at the bake sale. How many cakes will they need to sell if they charge $9 per cake?
Which equation could be used to solve this problem?
475 = 9 c + 25
475 = 9 c - 25
475 = 25 c - 9
475 = 25 c + 9
Answer:
D or A
Step-by-step explanation:
if this helps may i have brain pls
Convert the following to km:
(a)2435 m
(b)4m 50cm
Step-by-step explanation:
1km=1000
2435/1000=2.435
b. 4
=0.0045
What is the slope? Simplify your answer!
Answer:
The value obtained by dividing the change of y coordinate by the change of x coordinate is called slope
Find the general solution of the following system of equations.
{−7x−2y=-4, −21x−6y=−12
Answer:
x = x (parameter),
y = (4 - 7x)/2.
Step-by-step explanation:
To find the general solution of the system of equations:
{-7x - 2y = -4,
-21x - 6y = -12},
we can use the method of elimination or substitution. Let's use the method of elimination:
We can multiply the first equation by 3 to make the coefficients of x in both equations equal:
{3(-7x - 2y) = 3(-4),
-21x - 6y = -12}.
Simplifying, we get:
{-21x - 6y = -12,
-21x - 6y = -12}.
Since both equations are identical, we have infinitely many solutions. We can express the general solution in terms of a parameter. Let's solve for y:
-21x - 6y = -12.
Dividing by -3, we get:
7x + 2y = 4.
Rearranging the equation to solve for y, we have:
2y = 4 - 7x,
y = (4 - 7x)/2.
Therefore, the general solution for the system of equations is:
x = x (parameter),
y = (4 - 7x)/2.
Solve 4.62 + (−12.3).
Answer:
= - 7.68 I hope this helped you.
The triangles shown below may not be congruent.
25
56
100
1000
850
O A. True
O B. False
Answer:
B. False
Step-by-step explanation:
The two triangles have the same size and the same shape so they are congruent. The three angles on both the triangles are equal. Just that the triangles are upside down but they are all the same.
i don't understand how to do this.. can someone help, please
The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:
m∠1 = 60°.m∠2 = 120°.m∠3 = 60°.What are parallel lines?In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.
Note: Assuming angle 1 is equal to 60 degrees.
In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:
m∠1 ≅ m∠3 = 60°.
Based on the linear pair postulate, the measure of angle 2 can be determined as follows;
m∠1 + m∠2 = 180°
60° + m∠2 = 180°
m∠2 = 180° - 60°
m∠2 = 120°
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Can I please get help with B
Answer:
sure just bring the question and it will be answered
In 2016, 595,700 Americans died of (all forms of) cancer.
Assuming a population of 321 million, what was the mortality
rate in units of deaths per 100,000 people?
The mortality rate will be 180 per 100000 people.
How to calculate the value?From the information, 595,700 Americans died of (all forms of) cancer and there is a population of 321 million.
Therefore the mortality rate will be:
= 595700 / 321 million
= 0.0018
Therefore the mortality rate will be 180 per 100000 people.
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Crystal works on the weekends! Last Saturday she worked 7.75 hours and on Sunday she worked 8.5 hours. She earns $12 per hour. How much did she earn last weekend?
Answer:
She earned $195 last weekend.
Step-by-step explanation:
(7.75x12)+(8.5x12)
93+102
195
Solve 3x - 6=9 what is the answer?
Answer:
x = 5
Step-by-step explanation:
Step 1: Add both sides by 6:
(3x - 6 = 9) + 6
3x = 15
Step 2: Divide both sides by 3 to isolate and solve for x:
(3x = 15) / 3
x = 5
Optional Step 3: We can check that we've found the correct answer by plugging in 5 for x and checking that we get 9:
3(5) - 6 = 9
15 - 6 = 9
9 = 9
help. will give brainly to correct answer. please.
Answer:
Last option; 5/2+ i5/2
Mr. Alvarado bought a total of 20 pounds of grass seed at the nursery for $168. He paid $9 per pound for Kentucky blue grass and $6 per pound for Tall Fescue. Which system of equations can be used to find the amount x (in pounds) of Kentucky blue grass and the amount y (in pounds) of Tall Fescue Mr. Alvarado purchased?
Answer:
K+T=20
$9K + $6T = $168
K is the Kentucky blue grass in pounds
T is the Tall fescue in pounds
Step-by-step explanation:
You can start with the first equation. We don't know the exact amounts of each but we know that there was a total of 20 pounds, and there were 2 types of grass seeds, so we can get that the amount of pounds of Kentucky blue grass(K) and the pounds of Tal Fescue(T) has a sum of 20.
K + T = 20
For the second equation we know that there is a sum of $168 so we'll start with that. Then, we know he paid $9 per pound of K so $9* the value of K is the amount paid for Kentucky blue grass total. This can be represented as 9K. We do the same for T, 6T. Since the sum of the cost of $9T and $6K must be $168 we can write this as:
$9K + $6T = $168
A school has 320 girls and 250 boys
The probability that a girl is left handed is 0.2
The probability that a boy is left handed is 0.1
Estimate the umber of left handed students in the school.