Which of the following quadratic equations has the solution set (1/2,5)? Select all that apply
(x+1/2)(x-5)=0
(x-5)(2x-1)=0
(x+5)(2x-1)=0
(-2x+1)(-x+5)=0
(x+1/2)(x+5)=0
(-2x+1)(x-5)=0

Answers

Answer 1
To find the solution set of a factored quadratic equation, you should set each one of the factors equal to zero and solve for [tex]x[/tex].

Lets take our first quadratic equation (x+1/2)(x-5)=0 and apply this. First we are our factors equal to zero [tex]x+ \frac{1}{2} =0[/tex] and [tex]x-5=0[/tex]; next we are going to sole for [tex]x[/tex] in each factor to find the solution set:
[tex]x=- \frac{1}{2} [/tex] and [tex]x=5[/tex], so the solution set for the quadratic equation (x+1/2)(x-5)=0 is [tex](- \frac{1}{2},5)[/tex]

Lets do the same for our next one (x-5)(2x-1)=0
[tex]x-5=0[/tex]
[tex]x=5[/tex]
and
[tex]2x-1=0[/tex]
[tex]2x=1[/tex]
[tex]x= \frac{1}{2} [/tex]
So, the solution set for the quadratic equation (x-5)(2x-1)=0 is [tex](5, \frac{1}{2}) [/tex]

Next one (x+5)(2x-1)=0
[tex]x+5=0[/tex]
[tex]x=-5[/tex]
and 
[tex]2x-1=0[/tex]
[tex]2x=1[/tex]
[tex]x= \frac{1}{2} [/tex]
So, the solution set for the quadratic equation (x+5)(2x-1)=0 is [tex](-5, \frac{1}{2} )[/tex]

Next one (-2x+1)(-x+5)=0
[tex]-2x+1=0[/tex]
[tex]-2x=-1[/tex]
[tex]x= \frac{-1}{-2} [/tex]
[tex]x= \frac{1}{2} [/tex]
and
[tex]-x+5=0[/tex]
[tex]-x=-5[/tex]
[tex]x=5[/tex]
So, the solution set for the quadratic equation (-2x+1)(-x+5)=0 is [tex]( \frac{1}{2} ,5)[/tex]: therefore, we are going the select this one.

Next one (x+1/2)(x+5)=0
[tex]x+ \frac{1}{2} =0[/tex]
[tex]x=- \frac{1}{2} [/tex]
and
[tex]x+5=0[/tex]
[tex]x=-5[/tex]
So, the solution set for the quadratic equation (x+1/2)(x+5)=0 is [tex](- \frac{1}{2} ,-5)[/tex]

Finally, our last one (-2x+1)(x-5)=0
[tex]-2x+1=0[/tex]
[tex]-2x=-1[/tex]
[tex]x= \frac{-1}{-2} [/tex]
[tex]x= \frac{1}{2} [/tex]
and
[tex]x-5=0[/tex]
[tex]x=5[/tex]
So, the solution set for the quadratic equation (-2x+1)(x-5)=0 is [tex]( \frac{1}{2} ,5)[/tex]; this is also a correct answer, make sure to select this one too.

We can conclude that both (-2x+1)(-x+5)=0 and (-2x+1)(x-5)=0 quadratic equation have [tex]( \frac{1}{2} ,5)[/tex] as solution set.

Related Questions

Directions: Determine whether the given value of the variable is a solution of the inequality.

Answers

2) 4 is not a solution.
3) -1 is not a solution.
4) 0 is a solution.
5) 0.23 is not a solution.
6) 2/3 is a solution.

what fraction of 60 is 45?

Answers

Hi Ebiffy

What fraction of 60 is 45 ?

45 / 60 = (15 x 3) / (15 x 4) = 3 / 4

Help me a,b,c,d please give me the right answers

Answers

The right answer is the first one. d is the distance that Laura walked, therefor d+7 is the distance that Luke walked since he walked 7 more miles than Laura. If add both of their distances together you get 23, therefore the equation is “d+d+7=23”

Solve the linear system of equations using addition. Graph the equations to verify your solution. -4x=y+3

Answers

In standard form the answer would be y=-4x-3

Answer:

Step-by-step explanation:

given equation,

-4 x = y + 3

y = -4 x -3........................(1)

comparing equation 1 with

 y = m x + c

m = -4 and  c = -3

now using this we can easily plot the graph where c is the y-intercept and m is the slope of line .

so, the plot is shown in the graph attached below.

I need some help with 22, 24, 25

Answers

22 increases by 0.9
24 increases by 4 and 1/2
25 increases by 4.3
Just subtract the number from the number after it to find how to find the next numbers in the sequence
22) each number adds .9

next two numbers: 5.9 , 6.8

24) each number adds 4.5

the missing number is 11 1/2

25) each number adds 4.7

the missing number is 19.3

Yvette earned $66.00 for 8 hours of work. Lizbeth earned $68.80 working the same amount of time. How much more per hour did Lizebeth earn than Yvette

Answers

Lizbeth earns $0.35 more per hour.

66 / 8 = 8.25
68.8 / 8 = 8.6

8.6 - 8.25 = 0.35
Yvette:
66/8
=$8.25 per hour

Lizbeth :
= 68.80/8
= $8.60

$8.60-$8.25
=$0.35

On the coordinate plane below, quadrilaterals TRAP and HELP are similar to eachother.
Use the Pythagorean theorem to determine the ratio between sides RA and EL.
A. 2:1
B.5:3
C. 3:2
D. 1:1

Answers

Since HP:PT is 1:2, then the ratio will be applied to all sides. From the picture you can conclude RA is made from 2 horizontal space and 4 vertical space, so EL would be made from 1 horizontal space and 2 vertical space.
Using Pythagorean theorem, the length of RA and LE would be:


RA^2= 4^2 + 2^2 = 16 +4
RA^2= 20
RA= √20

EL^2= 2^2 +1^2 = 4+1
EL^2= 5
EL= √5

RA:EL= √20/√5
RA:EL= (√4*√5)/√5
RA:EL=√4= 2

The ratio would be A. 2:1

Answer:

The ratio would be A. 2:1

Step-by-step explanation:

Miranda made a drink that contains 2 pints of apple juice and 3 pints of grapes juice and 2 pints of cranberry juice
How many pints of juice did Miranda make

Answers

7 pints of juice ( i need more words so it sends this)
Miranda make seven pintos of juice 

The taxi fare in Gotham City is $2.40 for the first 1/2 mile and additional mileage charged at the rate $0.20 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $10? (An explanation would be helpful!)

Answers

3.3 miles should be the answer
10 = 2.40 + .2x    - take 2.4 from both sides
7.6 = .2x              - take 2 from 7.6 for the tip
5.6 = .2x              - divide both sides by .2
28 = x
this means that you can pay the taxi drives an additional 28 times with the .20 cents fee and still have 2 dollars left over       
now multiply 28 by .1 miles which is 2.8 miles
add 2.8 miles to .5 miles which equals 3.3 miles 

Answer:

I can ride 3.3 miles in $10.

Step-by-step explanation:

Let i can ride x miles in $10.

So for first 0.5 miles I have paid = $2.4

The for remaining ride of (x - 0.5) payment done = $[tex]\frac{0.20}{0.1}\times (x-0.5)=2(x - 0.5)[/tex]

I gave the tip = $2

Total payment I have done for the ride = $10

So equation will be

2.4 + 2(x - 0.5) + 2 = 10

4.4 + 2x - 1 = 10

3.4 + 2x = 10

2x = 10 - 3.4

2x = 6.6

x = [tex]\frac{6.6}{2}=3.3[/tex]

Therefore, i can ride 3.3 miles in $10.

Add the two expressions.

−6.3x+4 and 1.5x−6

Enter your answer, in simplified form, in the box.

please help fast 30 points!

Answers

(-6.3x + 4) + (1.5x - 6)

-6.3x + 1.5x = -4.8x
4 + (-6) = -2

-4.8x - 2 is your answer


the correct answer is -4.8x - 2

Jill earns 1.5 times her normal hourly rate for each hour she works after 40 hours in a week. she worked 52 hours this week and earned $638. What is her hourly rate?

Answers

This equation can be set up letting x be the hourly rate:40x+1.5x(52-40)=638  [40 times the rate, plus 1.5 times the rate for the hours over 40 equals the pay]40x+78x-60x=63858x=638x=11 hourly rate is $11/hr 
11 dollars an hour.

negative financial information (excluding bankruptcy) can stay on your credit report for:

Answers

It depends on the type of negative financial information that is on your credit report. For example, an account that has undergone the collections or delinquency process can stay on your credit report for up to 7 years. Car loans may stay on your credit report for up to 10 years. However, it really depends on the type of account, and the account company. Some accounts will report positive payments after collections within 30 days. Others may take longer. 

plz help me with this problem!!!! Thanks!

Answers

It’s 10 that’s the answer
The height of the overlapping area is 8 ft and the length is 10 ft, therefore we need to subtract 10×8= 80 ft of overlapping surface area

between which two consecutive whole numbers is
[tex] \sqrt{46} [/tex]

Answers

You have to find which perfect square numbers are closest to 46. The list is 1, 4, 9, 16, 25, 36, 49, 64... we can stop there. 

46 falls between 36 and 49, which is 6 and 7 squared. So the answer is 6 and 7.

PLEASE HELP!!!
If g(x) = 2x4 + 3x3 - x2, find g(-1).
A) -42
B) -12
C) -10
D) -2

Answers

Answer:

The value of g(-1) is -2

Step-by-step explanation:

[tex]g(x) = 2x^4 + 3x^3 - x^2[/tex]

Now we find g(-1)

To find g(-1) plug in -1 for x  in the given g(x) equation

Replace all x by -1

[tex]g(x) = 2x^4 + 3x^3 - x^2[/tex]

[tex]g(x) = 2(-1)^4 + 3(-1)^3 - (-1)^2[/tex]

[tex]g(x) = 2-3-1=-2[/tex]

The value of g(-1) is -2

Answer:

-2

Step-by-step explanation:

g(-1) = 2(-1)4 + 3(-1)3 - (-1)2 = 2(1) + 3(-1) - 1 = 2 - 3 - 1 = -2

How do I begin to solve this

Answers

Neck and legs because 2/3 goes into 1/2 and 1/3
The answer is C.

First, you need to identify what items happen before 2/3 of an hour by seeing which decimals are equal to 2/3.

We know she will stretch her legs, because 1/3 times two is 2/3, it lines up just right. We also know she will stretch her arms, because 1/6 times four is 4/6, which can be reduced to 2/3. 

She cannot stretch her neck, because 1/2 will not come out to 2/3 no matter how you multiply it.

Good luck! 

Walter pays $4 for each gallon, g, of gas for his lawn mower. He uses a gift card worth $5 to reduce the amount he owes for his purchase. How much money, m, will Walter owe if he buys 4 gallons of gas? Make a table using 2, 3, and 4 as values for g. Graph the ordered pairs, and then write an equation to solve the problem

Answers

hope this helps check a website calles math-way without the dash

m=4g+5 is the equation for money will Walter owe if he buys g gallons of gas

What is Expression?

An expression is combination of variables, numbers and operators.

Given that Walter pays $4 for each gallon, g, of gas for his lawn mower.

Walter uses a gift card worth $5 to reduce the amount he owes for his purchase.

We need to find the money, m, will Walter owe if he buys 4 gallons of gas.

m=4g+5

Now for 4 gallons we have to find the money.

m=16+5

m=21

Now for gallon =2

m=13

Now for gallon =3

m=17

Hence, m=4g+5 is the equation for money will Walter owe if he buys g gallons of gas

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Name the angle below 4 different ways.
plz help and NO BS answers.

Answers

Angle 1
Angle BAC
Angle CAB
Angle A
They are BAC, CAB, ABC, and BCA

If three dozen cookies cost $9, what is the cost per cookie?

Answers

36/9
=$4 per cookie......
3 dozen = 36
9/36 (9 divided by 36) = .25

$0.25 per cookie

250 divided by 10 to the 2 nd power

Answers

The first possibility: the entire expression is squared -
(250/10)^2
25^2
625

The second possibility: the 10 in the denominator is squared -
250/(10^2)
250/100
5/2

Answer:
Either 625 or 5/2, depending on the question.

Hope this helps!

When 250 is divided by 10 the 2nd power will be 5².

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

250 is divided by 10. Then the value of the expression will be

⇒ 250 / 10

⇒ 25

Write the expression in the form of 2nd power, then we have

⇒ 25

⇒ 5 x 5

⇒ 5²

When 250 is divided by 10 the 2nd power will be 5².

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#22. As you can see I tried to work it out, but to no avail.

Answers

The correct answer is (A) -2y - 2 for x in 3x - 2y = 10.

x + 2 = -2y

3x - 2y = 10

In order to find the second variable, we must take either x or y out of one of the equations. We can specifically exclude x by substituting the following in the expression:

From the first equation into the second, x = -2y - 2. With this change, x will no longer be present in the second equation, allowing us to determine the value of y. As a result, we must replace the phrase with:

For x in the equation, -2y - 2:

3x - 2y = 10

To acquire:

3(-2y - 2) - 2y = 10

To put it simply: -6y - 6y - 2y = 10

combining comparable phrases

-8y = 16

y = -2 after dividing both sides by -8.

Once y has been determined, we can add this result back into one of the original equations.

Therefore, the correct answer is (A) -2y - 2 for x in 3x - 2y = 10.

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Fifteen students were surveyed to see whether they liked the color red or blue. There were three more students who preferred blue over red. Write and solve a system of equations to find how many students preferred blue and how many preferred red.

Answers

r=students who like color red
b=students who like color blue

r+b=15
b=r+3

then, replace the b in the first equation with the b in the second:
r+(r+3)=15
2r=12
r=6

6 students like red

r+b=15
6+b=15

b=9

6 students like red 
9 students like blue

You bought the new fish tank shown. Before you can buy fish, you have to get the tank ready. The dimensions of the tank are 24 inches by 12 inches by 16 inches. What is the largest volume of water it can hold?

Answers

the answer is 4608.....

You select a marble without looking and then put it back. If you do this 6 times, what is the best prediction possible for the number of times you will pick a purple or a blue marble?

Answers

Final answer:

Without further information, we can say that the prediction of drawing a blue or purple marble in six attempts depends on the total number of marbles and the number of blue and purple marbles.
If half the marbles are blue or purple, there is a predicted average of three such draws in six attempts.

Explanation:

To predict how many times you could pick a purple or blue marble, we would need to first know the total number of marbles and the number of blue and purple marbles. This information isn't provided in the question. However, we can discuss this concept further. When you select a marble and put it back, the probabilities remain the same for each draw because the total number of marbles in the bag and the number of desirable marbles (blue or purple in this case) do not change.

For example, if a bag contains four blue marbles and three white marbles, and you draw one marble six times with replacement (meaning each time after drawing, you put the marble back into the bag), the probability of drawing a blue marble each time is 4/7, because there are four blue marbles and seven total marbles.

Therefore, the best prediction of the number of times you will draw a blue or purple marble in six tries depends on these individual probabilities. If we assume half the marbles are blue or purple, then on average, we would expect to draw a blue or purple marble about three times.

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Final answer:

The best prediction possible for the number of times you will pick a purple or a blue marble after 6 draws is 3.43 times.

Explanation:

To predict the number of times you will pick a purple or a blue marble, you need to determine the probability of picking a purple or a blue marble for each individual draw and then multiply that probability by the number of draws. In this case, the bag contains 4 blue marbles out of a total of 7 marbles.

Therefore, the probability of picking a blue marble on each draw is 4/7.

Since you are drawing 6 times, you can predict that you will pick a purple or a blue marble approximately (4/7) x 6 = 24/7 = 3.43 times.

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renee is making a scale diagram of her mp3 player. The length of her scale drawing is 8 inches, and the width is 14 inches. The actual length of the mp3 player is 4 centimeters, and the width is 7 centimeters.

Answers

Final answer:

To create a scale diagram, determine the ratio between the length and width of the scale drawing and the actual object.

Explanation:

To create a scale diagram, we need to determine the ratio between the length and width of the scale drawing and the actual object.

In this case, the length of the scale drawing is 8 inches and the actual length of the mp3 player is 4 centimeters.

So the length ratio is 8 inches / 4 centimeters = 2 inches / centimeter.

Similarly, the width ratio can be calculated as 14 inches / 7 centimeters = 2 inches / centimeter.

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Final answer:

In Renee's scale drawing of the mp3 player, every 1 cm of the actual mp3 player is represented by 5 cm in the scale drawing. This is calculated by comparing the actual length to the length on the drawing, converting the units to centimeters first. The scale should be consistent for both length and width.

Explanation:

The question describes a situation where Renee is making a scale diagram of her mp3 player. In this case, there is a comparison between the actual size of the mp3 player and it's representation on the scale drawing. Let's use the lengths as a basis for the scale.

The length of the actual mp3 player is 4 cm and the length on the scale is 8 inches. But, to make our comparison valid, we need to make sure that both measurements are in the same unit. Now, since 1 inch is approximately 2.54 cm, our 8 inches become 8 × 2.54 = 20.32 cm.

This means Renee's scale is roughly 5 to 1 (since 20.32 divided by 4 is about 5). Therefore, every 1 cm of the actual mp3 player is represented by 5 cm in the scale drawing.

We can follow the same process for the width and verify that the scale is consistent, which it should be, but in this case, it's not necessary because we've been given that the lengths and the widths have exactly the same proportions in both the drawing and the real object.

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There were 25 words on a recent vocabulary test in English class, and Owen got four words wrong. What percent did he get wrong?

Answers

16 % ;  4 / 25 =  16 / 100

I'll give brainliest if you show your work.
Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below.
Mia's Work
Step 1: 3-35/ 10-91
Step 2: -32/ -81
Step 3: 32/ 81
What was the first error that Mia made?
Mia simplified incorrectly and made the slope positive.
Mia subtracted in the wrong order.
Mia switched the numerator and the denominator.
Mia used subtraction instead of addition.

Answers

Its A because as you know:Step One: Identify two points on the line.Step Two: Select one to be (x1, y1) and the other to be (x2, y2).Step Three: Use the slope equation to calculate slope.PLEASE MARK BRAINLIEST

Answer:

Mia switched the numerator and the denominator.

Step-by-step explanation:

The slope formula is given by:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Where we have two ordered pairs:

P1 = (x1, y1)

P2 = (x2, y2)

Given is : Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91)

Step 1: [tex]\frac{3-35}{10-91}[/tex]

If we compare the formula with Mia's step, we can see that she switched the numerator and the denominator.

Hence, the error made is : Mia switched the numerator and the denominator.

Use the drawing tool(s) to form the correct answer on the provided grid.


Jennifer is on a hiking trip. She begins her hike at an altitude of 4,000 feet, and she is descending with an average speed of 40 feet per minute.

Graph the function that represents this situation.

Answers

She is starting at 4000, so that is the y-intercept of the graph. She is descending at 40 feet per minute, so her rate of change or slope is -40. The graph would look like this:

Answer:

See attachment

Step-by-step explanation:

Given : Jennifer is on a hiking trip. She begins her hike at an altitude of 4,000 feet, and she is descending with an average speed of 40 feet per minute.

We have to Graph the function that represents the given situation.

Let the y - axis represents the height of Jennifer (in feet) and x axis represents the time (in minutes)

Since initially, Jennifer is at 4000 feet.

and is descending with an average speed of 40 feet per minute.

So when she begins to descend she is at 4000 feet that is y- intercept is 4000.

Then, the equation of graph is given by

y = -40x + 4000

As she is descending at the rate of 40 feet per minute so  -40x

Thus, The graph for the given equation can be drawn as shown below.

also, when x = 100

then y = -40(100) - 4000 = 0

Plot points (0, 4000) , (100,0) to obtain the graph.

what is the approximate distance across a camel's snout.

Answers

around 4 1/2 inches..

4 1/2in gdhsiaidjdhdus7wiqiwisj

Dakota tiled a floor with tiles that look like this:




Here is her floor:



What is the length of? _________________


What is the length of ? ________________


What is the length of? _______________


What is the measure of ABC? ____________


What is the measure of CAB? ____________


What is the measure of ACB? _____________


What is the measure of BCE? _____________


What is the measure of CED? ______________


What is the total length of Dakota’s floor? _____________


What is the total width of Dakota’s floor? ____________

Answers

AB=8 in.
AC=6 in. 
BC=10 in.
<ABC=37 
<CAB=90
<ACB=53
<BCE=2*37=74
<CED=2*53=106
l=6*AB=6*8=48 in.
w=6*AC=6*6=36 in.


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