someone help? Which graph most likely shows a system of equations with two solutions?
Answers
Answer:
Option D is correct.
The fourth graph shows a system of equation with two solutions.
Step-by-step explanation:
From the given figure,
we can see that we have a parabola and a straight line.
Since, the line is touching the parabola at two points, one point and no point.
In the first graph, the line touches the parabola at one point.
In the second graph, the line does not touches the parabola at no point.
also,In the third graph,the line touches the parabola at one point and
In fourth graph, the lines touches the parabola at two points.
For the system of equations :
For one solution, the two equations will touch at one point.For Two solution, the two equation will touch at two point.For no solution, the two equation will not touch at no point.Therefore, the graph which is most likely shows a system of equation with two solutions is: In fourth graph
Answer:
Two solution to a system of equation means when we look at the graph of the function the graph of the two equations must intersect at exactly two points.
The graph satisfying such condition is attached to the answer.
in this graph the curve that is downward parabola and a line intersect at exactly two points and hence result in two solutions.
Related Questions
Write a real world problem that you would represent with the equation 4x+5=37.
Answers
x=8
37-5=32
32/4=8.
Which of the following is a radical equation?
Answers
Answer:
D) [tex]7\sqrt{x} = 14[/tex]
Step-by-step explanation:
If x is under a radical symbol, then it is called radical equation.
For example, [tex]\sqrt{x} = 2[/tex]
[tex]\sqrt{x-2} = 5[/tex]
From the given equations, we have to find in which equation x under radical.
x + [tex]\sqrt{5} = 12[/tex], here x is not under radical.
[tex]x^{2} = 16[/tex], here also x is not under radical.
3 + x√7 =13, here x is not under radical
7[tex]\sqrt{x} = 14[/tex]
Here x is under the radical symbol.
Therefore, the answer is [tex]7\sqrt{x} = 14[/tex]
The graph of y = 12x2 will be more narrow than the graph of the parent function, y = x².
Question 2 options:
True
False
The quadratic function shown can be written in the form y = ax². Determine the equation of the quadratic function.
Question 4 options:
y = x²
y = -x²
y = 2x²
y = -2x²
Answers
Based on the graph attached, we know a will not be a negative number, since the graph is open upward instead of downward. A negative coefficient "flips" the graph. Since it goes through the point (1, 2) it will not be the parent function y = x²; if you substitute 1 in for x you would get a value of 1, not 2. Therefore the choice must be y = 2x².
What is the value of x? Enter your answer in the box. x = A triangle with midsegment parallel to the base. the left side is labeled 72 cm below the midsegment and 9 cm above the midsegment. the right side is labeled 56 cm below the midsegment and 3 x minus 20 above the midsegment.
Answers
72/9 = 56/(3x -20)
We can multiply by (3x -20)/8 to get
3x -20 = 7
3x = 27
x = 9
72/9 = 56/(3x -20)
We can multiply by (3x -20)/8 to get
3x -20 = 7
3x = 27
x = 9
factor this polynomial 3y-6x+4xy-2y^2
Answers
= 4xy -6x -2y^2 +3y
= 2x(2y -3) -y(2y -3)
= (2x -y)(2y -3)
= 4xy - 2y^2 - 6x + 3y
= (4xy - 2y^2) - (6x - 3y)
= 2y(2x - y) - 3(2x - y)
= (2x - y)(2y - 3)
HELP HELP HELP PLEASE!!!!!
What is the area of this polygon?
Answers
Answer: 35.5 [tex]unit^2[/tex]
Step-by-step explanation:
For finding the area of this polygon we can divide it into triangles and rectangle,
By the below diagram,
The area of this polygon = Area of rectangle having dimension 4× 3 + Area of triangle having base 4 unit and height 3 unit +Area of triangle having base 7 unit and height 3 unit + Area of triangle having base 7 unit and height 2 unit,
=[tex]12 + \frac{1}{2}\times 4\times 3 + \frac{1}{2}\times 7\times 3 + \frac{1}{2}\times 7\times 2[/tex]
= [tex]12 + 6 + 10.5 + 7[/tex]
= [tex]35.5\text{ square unit}[/tex]
For each babysitting job, ashley charges $2.50 for bus fare plus $8 per hour for each hour she works. she charged $30.50 for her last babysitting job.
a. write a linear equation to represent the problem. be sure to define the variable you choose. __________
Answers
Variable: h = hours worked
linear equation: 30.50 = 2.50 +8h
pleaseeeeeee answer!!!!!!!!!!!!
There are eight planets in our solar system. Venus is the hottest planet, with an average temperature of 460°C. The average temperatures of some other planets are given in the table.
Venus 460°C
Earth 14°C
Mars -60°C
Neptune -214°C
The net change in temperature from Neptune to Mars is _______°C.
The net change in temperature from Earth to Neptune is ________°C.
The net change in temperature from Venus to Earth is _________°C.
Answers
The net change of temperatures between the planets is required.
Neptune to Mars is [tex]154^{\circ}\text{C}[/tex]
Earth to Neptune is [tex]228^{\circ}\text{C}[/tex]
Venus to Earth is [tex]446^{\circ}\text{C}[/tex]
The net change value is the distance of the net change from zero.
So, the absolute value of the change will be the net change.
Difference in temperature of Neptune and Mars
[tex]|-214-(-60)|=154^{\circ}\text{C}[/tex]
Difference in temperature of Neptune and Earth
[tex]|-214-14|=228^{\circ}\text{C}[/tex]
Difference in temperature of Venus and Earth
[tex]|460-14|=446^{\circ}\text{C}[/tex]
Learn more:
https://brainly.com/question/11953855?referrer=searchResults
Answer:
154 for neptune to mars is correct. The 228 and 446 is wrong.
Step-by-step explanation:.
Red and gray bricks were used to build a decorative wall. The number of red bricks number of gray bricks was Start Fraction 5 over 2 End Fraction . There were 175 bricks used in all. How many red bricks were used?
Answers
Red = 5x
Gray = 2x
The total is 175 bricks, right?
5x+2x=7x
7x=175
x=25
The value of x is 25. Now, substitute that into the expression for red bricks, or 5x
5x=5(25)=125
There were 125 red bricks used. Hope this helps!
Final answer:
To find the number of red bricks used, the ratio 5:2 is represented as 5x:2x. Solving the equation 7x = 175 gives x = 25. Multiplying this by 5, there were 125 red bricks used.
Explanation:
The question asks us to find the number of red bricks used to build a wall when the ratio of red bricks to gray bricks is 5:2 and there were 175 bricks used in total. To solve this, we set up the ratio 5x:2x where 'x' represents the multiplier for the number of bricks, and the sum of red and gray bricks which is 5x + 2x equals the total number of bricks, 175.
First, we combine like terms: 5x + 2x = 7x. Next, we solve for 'x' by dividing both sides of the equation by 7.
7x = 175
x = 175 / 7
x = 25
We then multiply this value by 5 to find the number of red bricks: 5 * 25 = 125.
Therefore, 125 red bricks were used to build the wall.
Samuel has a collection of toy cars. his favorites are the 272727 red ones which make up 60\%60%60, percent of his collection.how many toy cars does samuel have?
Answers
1 % = 27 ÷ 60 = 0.45
100% = 0. 45 x 100 = 45
Samuel has 45 cars.
Answer:
Khan Academy said 45 hope it helps! :)
Which type of transformation maps trapezoid PQRS onto trapezoid P'Q'R'S'?
reflection
rotation
translation
dilation
Answers
Answer is DILATION
Answer: Dilation.
Step-by-step explanation:
From the given picture , it can be seen that the size of trapezoid P'Q'R'S' is decreased from trapezoid PQRS .
Reflection , rotation and translation are rigid motions that produces congruent images and do not change the size of the shapes.
But dilation is not a rigid motion because it changes the size of the shape by using a scale factor.
Hence, the transformation maps trapezoid PQRS onto trapezoid P'Q'R'S' is "Dilation".
You sell lemonade for $2 per cup and orange juice for $3 per cup. you sell a total of 100 cups for $240. write and solve a system of linear equations to find the number of cups and the number of lemonade and the number of cups of orange juice you sold. answer
Answers
2L + 3OJ = 240
-2L + -2OJ = -200
2L + 3OJ = 240
1OJ = 40
L + OJ = 100
L + 40 = 100
L = 60
Therefore : 60 cups of lemonade and 40 cups of orange juice.
To solve a linear equation in two variables, at least two equations are required. There are 60 lemonade and 40 orange juice cups.
What is Linear equation in two variable ?A linear equation in two variable can be written as ax + by = 0 where a and b are not equal to zero. It is used to represent a straight line.
Given that, rate of lemonade per cup = $2.
And, rate of orange juice per cup = $3.
Total number of cups sold = 100.
Total earning = $240.
Suppose the number of lemonade cup be x,
And, the number of orange juice cup be y.
Then, as per the question two equations can be formed given as,
x + y = 100 -------------------------(1)
2x + 3y = 240 -------------------------(2)
To find x and y, multiply equation (1) by 2 and substract it from equation (2),
2x + 3y - 2(x + y) = 240 - 2×100
=> y = 40
Substitute y =40 in equation (1) to get x as,
x + 40 = 100
=> x = 60.
Hence the number of lemonade cups are 60 and orange juice cups are 40.
To know more about Linear equation in two variable refer to,
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Find the reduced odds for and the reduced odds against the event of rolling a fair die and getting a 2, 4, or 5 odds for: to odds against: to
Answers
There are 3 ways of getting a 2, 4, or 5. There are also 3 ways of NOT getting a 2, 4, 5 (namely rolling a 1, 3, or 6). That means the odds FOR would be 3:3 = 1:1.
There are 3 ways of NOT getting a 2, 4, or 5 (again rolling a 1, 3, or 6). There are also 3 ways of getting a 2, 4, 5. That means the odds AGAINST would be 3:3 = 1:1.
Reduced odds for rolling a 2, 4, or 5: 1:1
Reduced odds against rolling a 2, 4, or 5: 1:1
To determine the reduced odds for and against rolling a 2, 4, or 5 on a fair six-sided die, we need to calculate the probabilities of these events.
Step 1: Calculate the probability of rolling a 2, 4, or 5.
There are three favorable outcomes (rolling a 2, 4, or 5) out of a total of six possible outcomes.
[tex]\[ P(\text{rolling a 2, 4, or 5}) = \frac{3}{6} = \frac{1}{2} \][/tex]
Step 2: Calculate the probability of not rolling a 2, 4, or 5.
There are three unfavorable outcomes (rolling a 1, 3, or 6) out of a total of six possible outcomes.
[tex]\[ P(\text{not rolling a 2, 4, or 5}) = \frac{3}{6} = \frac{1}{2} \][/tex]
Step 3: Calculate the odds for rolling a 2, 4, or 5.
Odds for an event are given by the ratio of the number of favorable outcomes to the number of unfavorable outcomes.
[tex]\[ \text{Odds for rolling a 2, 4, or 5} = \frac{\text{Number of favorable outcomes}}{\text{Number of unfavorable outcomes}} = \frac{3}{3} = 1:1 \][/tex]
Step 4: Calculate the odds against rolling a 2, 4, or 5.
Odds against an event are given by the ratio of the number of unfavorable outcomes to the number of favorable outcomes.
[tex]\[ \text{Odds against rolling a 2, 4, or 5} = \frac{\text{Number of unfavorable outcomes}}{\text{Number of favorable outcomes}} = \frac{3}{3} = 1:1 \][/tex]
Therefore, The reduced odds for and the reduced odds against the event of rolling a fair die and getting a 2, 4, or 5
Reduced odds for rolling a 2, 4, or 5: 1:1
Reduced odds against rolling a 2, 4, or 5: 1:1
A lamp manufacturer has daily production costs of C = 0.25n2 – 10n + 800, where C is the total cost in dollars for n lamps produced.
What is a reasonable domain for this function, given the problem's context?
A) all integers
B) all real numbers
C) all positive integers
D) all positive real numbers
Answers
The reasonable domain for the given cost function, considering the context of lamp production, is all positive integers (C) because lamps can only be produced in whole, positive quantities.
The lamp manufacturer's daily production costs are given by the function C = 0.25n2 - 10n + 800, where C represents the total cost in dollars and n is the number of lamps produced. Considering the context of the problem, where production numbers must be whole and non-negative, the reasonable domain for this function is all positive integers, which represents the count of lamps that can be produced. This is because the manufacturer cannot produce a fraction of a lamp, nor can they produce a negative number of lamps. Hence, the correct choice for the domain is (C) all positive integers.
In July 2010 there were approximately 500 million Facebook users. In July 2011 there were approximately 750 million Facebook users. How many more users were there in 2011. Write your answer in scientific notation
Answers
Jerry solved the system of equations.
X-3y= 1
7x+2y=7 As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement?
Answers
Answer:
A: The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Step-by-step explanation:
I got it right on Edge
The value of x and y is 1 and 0 for the given system of equations.
And, the reason Max gives for his statement that " the variable x in the first equation has coefficient of one so there will be fewer steps to the solution".
What is system of equations?A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.
What is substitution method?The substitution method can be defined as a way to solve a linear system algebraically. In this method we substitute one y-value with the other. To put it simply, the method involves finding the value of the x-variable in terms of the y-variable.
According to the given question.
We have system of equations.
x - 3y = 1
and 7x + 2y = 7
To solve the above system of equations we use substitution method.
Since, the first the corffeficient of x in first equation is 1. So we will use the value of x of equation x -3y = 1 to substitute in second equation. Because it require fewer steps to get the solution.
So,
From x - 3y = 1
We cay say that
x = 1 + 3y
Substitute the value of x in 7x + 2y = 7.
⇒ 7(1 + 3y) + 2y = 7
⇒ 7 + 21y +2y = 7
⇒ 7 + 23y = 7
⇒ 23y = 7-7
⇒ 23y = 0
⇒ y = 0
Again susbstitute the value of y in x =1 + 3y.
⇒ x = 1 + 3(0)
⇒ x = 1
Hence, the value of x and y is 1 and 0 for the given system of equations.
Therefore, the reason Max gives for his statement that " the variable x in the first equation has coefficient of one so there will be fewer steps to the solution".
Find out more information about system of equations and substitution method here:
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Convert 302 inches to yards
Answers
Hope this helps!
302inches/36 inches=8 yards 14 inches or
About 8.38 yards
5. An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter. (1 point)
A. 41.4 cm, 8.3 cm
B. 30 cm, 5.8 cm
C. 41.4 cm, 4.3 cm
D. 8.3 cm, 5.8 cm
Answers
https://answers.yahoo.com/question/index?qid=20120518194118AAhi738
Answer:
Option D -8.3 cm, 5.8 cm
Step-by-step explanation:
Given : An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long.
To find : The longest and shortest possible lengths of the third side of the triangle?
Solution :
First we create the image of the question,
Refer the attached figure below.
Let a triangle ABC , where angle A has a bisector AD such that D is on the side BC.
The theorem is stated for angle bisector is
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides".
So, according to question,
Let BD=6 cm, DC=5 cm, AB=6.9 cm
and we have to find AC.
Applying the theorem,
[tex]\frac{BD}{DC}=\frac{AB}{AC}[/tex]
[tex]\frac{6}{5}=\frac{6.9}{AC}[/tex]
[tex]AC=\frac{6.9\times 5}{6}[/tex]
[tex]AC=\frac{34.5}{6}[/tex]
[tex]AC=5.75[/tex]
[tex]AC=5.8 cm[/tex]
If we let AC=6.9 cm, find AB
Then,
[tex]\frac{BD}{DC}=\frac{AB}{AC}[/tex]
[tex]\frac{6}{5}=\frac{AB}{6.9}[/tex]
[tex]AB=\frac{6.9\times 6}{5}[/tex]
[tex]AB=\frac{41.4}{6}[/tex]
[tex]AB=8.28[/tex]
[tex]AB=8.3 cm[/tex]
Therefore, The shortest possible length is 5.8 cm and longest possible is 8.3 cm.
Hence, Option D is correct.
What is the vertex form of y=-2x^2-8x+10? Give the coordinates of the vertex, state if there is a minimum or maximum, and find the equation of the line of symmetry.
This is for Algebra 2 regular.
Answers
notice the leading term's coefficient, is -2, is negative, that means the parabola is opening downwards, is facing down, so it goes up up up, reaches the U-turn and then down down down, is a "hump" or a maximum point.
[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ \begin{array}{lcccl} y = & -2x^2& -8x& +10\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array} \qquad \left(-\cfrac{ b}{2 a}\quad ,\quad c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{-8}{2(-2)}~~,~~10-\cfrac{(-8)^2}{4(-2)} \right)\implies \left( \cfrac{8}{-4}~~,~~10-\cfrac{64}{-8} \right) \\\\\\ \left( -2~~,~~10+8 \right)\implies (-2~~,~~18)[/tex]
and the line of symmetry, well is a vertical parabola, mirroring itself at the line x = -2, which is the x-coordinate of the vertex.
A parking lot space is in the shape of a rectangle. If the space has a length of 23 feet and a width of 12 feet, what is the area of the parking space?
Answers
A=23*12
A=276 <the answer
Given is a parking space in the shape of rectangle with length = 23 feet and width = 12 feet. It says to find the area of parking lot.
We know the formula for area of rectangle is given by :-
Area = Length x Width
We can plug the given values in the above formula and find the answer.
Area = 23 feet x 12 feet
Area = 276 squared feets
So the area of parking space would be 276 squared feets.
Hence, final answer is 276 squared feets.
Each interior angle of a regular hexagon is 4x+24°. What is x?
Answers
.. 4x +24° = 120°
.. 4x = 96° . . . . . . . subtract 24°
.. x = 24° . . . . . . . . divide by 4
Anybody got the answer to this?
Answers
s = R * teta
Where,
Radio
Teta: arc angle measured in radians.
We have then that the length of the arc in this case is:
s = (7.9) * (180-66.4)) * (pi / 180)
s = 15.7 cm
Answer:
The length of the AD arc is:
s = 15.7 cm
which of these is the best definition of an ellipse
Answers
therefore
the answer is the option D)
the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant
Match the reasons with the statements in the proof.
Given: c | | d, m 4 = m 5
Prove: m 7 = m 8
1. c||d, m∠4=m∠5
Substitution
2. m∠4 = m∠7
Vertical angles are equal.
3. m∠5 = m∠8
If lines ||, alternate interior angles are equal.
4. m∠7 = m∠8
Given
Answers
Prove: m 7 = m 8
1. c||d, m∠4=m∠5
GIVEN
2. m∠4 = m∠7
If lines ||, alternate interior angles are equal.
3. m∠5 = m∠8
Vertical angles are equal.
4. m∠7 = m∠8
Substitution
Answer:
Step-by-step explanation:
Given: c is parallel to d and ∠4=∠5.
To prove: ∠7=∠8
Proof:
Statement Reason
1. c║d, ∠4=∠5 Given
2.∠4=∠7 If lines ||, alternate interior angles are equal.
3.∠5=∠8 Vertical angles are equal
Since, ∠4=∠5, therefore ∠7=∠8
4.∠7=∠8 Substitution
Marta is making 3 servings of fruit salad.she adds 3/8 cup blueberries for each serving.her measuring cup holds 1/8 cup.how many times must Marta measure 1/8 cup of blueberry to have enough for the fruit salad?
Answers
1. You have the following information given in the problem above:
- Marta is making 3 servings of fruit salad.
- Marta adds 3/8 cups blueberries for each serving.
- Her measuring cup holds 1/8 cup.
2. Then, you have:
1 time----1/8 cup
x----3/8 cups
x=(3/8)/(1/8)
x= 3x8/1x8
x=24/8
x=3 times
How many times must Marta measure 1/8 cup of blueberry to have enough for the fruit salad?
The answer is: 3 times
an elephant in an african wildlife perserve is 59.3 years old the table shows some students estimates for the elephants age who correctly rounded the age of the elephants to the nearest year
Answers
Hope i helped:)
Have a nice day!
~Luis~
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Enter your answer in the box.
m∠A=
°
Answers
x + 2 + 3x + 6 = 180
4x + 8 = 180
4x = 172
x = 43
Now solve for A
3(43) + 6 = A
129 + 6 = A
135 = A
The measure of angle A is 135 degrees.
Hope this helps =)
The answer is m∠A= 135°
What is the solution set of x/4≤9/x?
Answers
Answer:
x≤-6 or 0<x≤6.Option D.
Step-by-step explanation:
Given:
[tex]\frac{x}{4} \leq \frac{9}{x}.[/tex]
Subtract [tex]\frac{9}{x}[/tex] from both sides,
[tex]\frac{x}{4}-\frac{9}{x} \leq[/tex] 0
Simplifying by taking common denominator:
[tex]\frac{x^2-36}{4x}\leq[/tex]0
Factoring numerator:
[tex]\frac{(x+6)(x-6)}{4x}\leq[/tex]0
Computing the signs and selecting that one satisfies ≤ 0:
x≤ -6,0<x≤6.
Option D is the right answer.
Paul has a coupon for $2.50 off a box of name brand cereal that normally costs $12.78 the store brand cereal costs $10.98 how much will Paul save if he uses his coupon and buys the name brand cereal instead of the store brand cerial
Answers
1.Name brand cereal: $12.78 and Store brand cereal: $10.98.
2. Coupon for $2.50 off on the name brand.
What the question is asking is how much would he save if he used the coupon. So you would need to know how much it will be after the coupon is used. Here is the following steps to this question:
Step1 find out the price after coupon:
Regular price 12.78－Coupon worth 2.50 = 10.28
Now after knowing the price after coupon we need to find how much she saved
Step2 finding how much Pual saved after using to coupon and buy the named brand
Store brand price 10.98 －The price after discount 10.28 = $0.70
So Pual saved $0.70 by using the coupon and buying the named brand cereal.
Hope it helps!
Donnie is solving the equation 2x2=27+3x with the quadratic formula. Which values could he use for a, b, and c? a = 2, b = −3 , c = −27 a = 2, b = −27, c = −3 a = 2, b = 3, c = 27 a = 2, b = 27, c = 3
Answers
a= 2
b= -3
c= -27
The given equation is :
[tex] 2x^{2} =27+3x [/tex]
Now let us write it in standard form:
[tex] 2x^{2} -3x-27=0 [/tex]
Comparing it with general standard form:
[tex] ax^{2} +bx+c=0 [/tex]
So we have a=2, b=-3 and c=-27
First option is correct answer .