Which statement about the following equation is true? 3x2 â€"" 8x 5 = 5x2.

Answers

Answer 1

The discriminant is greater than 0, so there are two real roots and it can be determined by using nature of roots.

Given that,

Equation; [tex]\rm 3x^2 - 8x + 5 = 5x^2[/tex]

We have to determine,

Which statement about the following equation is true?

According to the question,

To determine the true statement about the equation following all the steps given below.

Equation; [tex]\rm 3x^2-8x+5=5x^2[/tex]

Simplify the equation for the roots of the equation,

[tex]\rm 3x^2-8x+5=5x^2\\\\\rm5x^2- 3x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\2x^2+8x=5\\\\2x(x+4)=5\\\\Then, \ 2x = 5, \ \ x = \dfrac{5}{2} \\\\And\ \ x+4=5, \ \ x=5-4, \ \ x=1[/tex]

The equation has two real roots and x is 1 and 5/2.

Hence, The discriminant is greater than 0, so there are two real roots.

For more details about Discriminate refer to the link given below.

https://brainly.com/question/10706429


Related Questions

Research suggests that high school students could benefit from later school starting times. A school administrative team is considering a proposal to move the starting time of the local high school one hour later than the current start time. To measure interest in the proposal, members of the team randomly select subjects attending a large soccer tournament played on the high school grounds on a Saturday morning. The team finds that 58% of those surveyed support a later high school start time. Which type of bias is most likely to be present in the survey results?

This is undercoverage bias because adults with children are more likely to be included in the sample.
This is question wording bias because the phrasing of the later start times question may be confusing to some subjects.
This is nonresponse bias because some of those selected may choose to not provide their opinion on later start times.
This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.

Answers

Answer:

This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.

Step-by-step explanation:

Answer:

undercoverage bias

Step-by-step explanation:

EWFrtujyhytgrfeds.DFGFDS

Answers

Answer:

Reese's puffs Reese's puffs

Can someone plz help Me?

Answers

Answer:

C.

Step-by-step explanation:

Dont quote me but im pretty sure it's C here's why:

2/3 is .667 which means the trash compactor crushes the trash .01 kilo per 1 second 3/8 minutes being closest .25 means that it can crush it roughly in 22 second or 3/8 minutes.

what is the value of k makes the equation trur

Answers

Answer:

where is the equation??

pls attach that

which is a better deal? 5 pens for $1.85 OR 8 pens for $3.12 ? find the unit rate

Answers

Answer:

5 pens

Step-by-step explanation:

1.85 divided by 5 is .37

3.12 divided by 8 is .39

so 1.85 is a better deal

Round 1.09 to the nearest whole number.

Answers

Answer:

1

Step-by-step explanation:

1.09 is in between the whole numbers 1 and 2. it is closer to 1 since the tenths digit (0) is less than 5. if it were 5 or greater, then we would round up to 2.

Answer:

1

Step-by-step explanation:

1.09 is closer to 1 than 2, therefore the whole number is 1.

If you were counting people or objects, well you can't have 9/100 as a person so you'd round to 2. But in this case, round to 1!

I hope this helped :)

Erin made cookies in the shape of animals. Out of the 40 cookies she made, 16 of them were shaped like a giraffe. What percent of the cookies were shaped like giraffes?

Answers

Answer:

40

Step-by-step explanation:

16/40×100

= 1600/40

= 160/40

= 40

HALPPPPP :(((((((((((

Answers

Answer: 5

Explanation: 12(3) - 3(1/3)/4(3)-5

                   = 36-1/12-5

                   = 35/7

                   = 5

Write the equation from the table below.

x y
0 -5
1 -2
2 1
3 4
4 7

Answers

Answer:

hope this helped

Step-by-step explanation:

y = mx + b

b, the y-intercept, = 3 because when x is 0, y is 3

find m, slope:

(0,3) (2,2)

2 - 3/2 - 0

-1/2

-0.5 or -/2

y = -1/2x + 3

or

y = -0.5x + 3

Consider the equation.
8x - 16y = - 14

The equation representing a line that is parallel to the line given and passing through the point (3, 0) is y= ___ x + ___

Answers

Answer:

[tex]y= \frac{1}{2}x+3[/tex]

Step-by-step explanation:

Rearrange equation to isolate y variable.

[tex]16y=8x+14[/tex]

Divide by 16 on both sides.

[tex]y=\frac{1}{2} x+7[/tex].

To make the line parallel to the given equation and pass through (3,0),

we will move the y intercept to 3.

[tex]y= \frac{1}{2}x+3[/tex]

PLEASE HELP!!!!! 100 points!!!

The angle of elevation from an anchor to the top of a flag pole is 22 If the pole is
10 meters high, how long does the wire connecting the anchor to the pole must be?
(Round answer to the 1st decimal place.)

Answers

Answer:

26.7 m

Step-by-step explanation:

The 22 degree angle is opposite to the 10 m side of the right triangle.

We need to find the length x of the hypotenuse.

Use trigonometry:

sine = opposite/hypotenusesin 22° = 10/xx = 10 / sin 22° x = 26.7 m (rounded)

Answer:

PLEASE HELP!!!!! 100 points!!!

The angle of elevation from an anchor to the top of a flag pole is 22 If the pole is

10 meters high, how long does the wire connecting the anchor to the pole must be?

(Round answer to the 1st decimal place.)

Which set of ordered pairs has a range of {0, 1,4}?
А
(0, 0), (0, 1), (4, 1)
B
(0, 2), (1, 2), (4, 2)
с
(0, 0), (0, 1), (0, 2), (0, 4)
D
(-1,0), (0, 1), (2, 1), (3, 4)

Answers


Answer: А
(0, 0), (0, 1), (4, 1)

Answer:

D

Step-by-step explanation:

As you can see in the pic, range is the y-coordinate. C is not the answer bcs the range of C is {0,1,2,4}

Carmen can make 9 bracelets each day. She needs to make at
least 120 bracelets to sell at a craft fair. She estimates she will need more
than 13 days to make enough bracelets. Is she correct? Explain.

Answers

Step-by-step explanation:

yes because If you divide 120 by 9 you get 13.333 so technically speaking she is correct

I need help final exam will mark brainliest...
Pablo is walking. The number of minutes he has walked varies directly with the number of calories he has burned. See the graph below. two-part question.


(a) How many calories is Pablo burning per minute?

(b) what is the slope of the graph?

Answers

5 calories per minute
1/2 is your slope.

Answer:

1. 5 calories per minute

2.1/2 is your slope.

Step-by-step explanation:

Lena was playing a card game. She placed the cards in 2 rows of 26 cards each. In which other way can Lena place all of the cards?

Answers

Answer:

4 raws of 13 each

Step-by-step explanation:

The total number of cards =2×26=52we can divide 52 by 4 which is 13

Given the function f(x) x^2-2x/x^3 +9x^2-10x Find any holes, vertical asymptotes, and horizontal asymptotes there may be.

Answers

Answer:

See below

Step-by-step explanation:

I assume you mean [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex]:

Holes: Since [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex] reduces to [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex], then there is a hole at [tex]x=0[/tex] as [tex]x[/tex] exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).

Vertical Asymptotes: If we further reduce [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex] to [tex]f(x)=\frac{x-2}{(x+10)(x-1)}[/tex], then we see that there are vertical asymptotes at [tex]x=-10[/tex] and [tex]x=1[/tex]

Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator ([tex]2<3[/tex]), then there is a horizontal asymptote at [tex]y=0[/tex]

ok the other one did not work so what 10 + 10 × 10 + 10 ÷ 10

Answers

Answer:

111

Step-by-step explanation:

it is correct 10 + 10 × 10 + 10 ÷ 10= 111

mark as brainliest

Jimmy takes a loan of 10,000$ at 12% per year as rate of interest . Find the amount, he will be required to pay after 1 year to settle the loan .

kindly stay out if u don't know the answer :)
spams , plagiarism = reported

Thanks for answering...​

Answers

Answer:

1200 I THINK

Step-by-step explanation:

Answer :-

11200

Step by step explanation :-

Here,

Principal = 10,000Time = 1 year rate = 12 %

The intrest payable on 100$ for 1 year = 12 $

The interest payable on 10,000$ borrowed for 1 year

[tex]( \frac{12}{100} \times 10000)[/tex][tex]1200[/tex]

so, at the eand of the year , he has to give an amount of $ ( 10,000 + 1200 )

11200 $

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven.

Part A
Let m = the number of miles Mr. Parker drives for the day. Choose the expression that shows the amount he will pay for the van.
A. 50m + 0.35 B. 0.35 + m + 50 C. m(0.35 + 50) D. 50 + 0.35m
Part B
Evaluate the expression you wrote to find the amount Mr. Parker will pay if he drives 80 miles.
Enter your answer in the box.

$

Answers

Answer:

Part A is D and part B is 78

Step-by-step explanation:

for part b 80 x0.35 is 28

28+50 is 78

on a coordinate plane, triangle a b c is shown. point a is at (negative 1, 1), point b is at (3, 2), and points c is at (negative 1, negative 1)if line segment bc is considered the base of triangle abc, what is the corresponding height of the triangle?

Answers

Answer:

The corresponding height of the triangle is [tex]1.2[/tex]

Step-by-step explanation:

We have[tex]\Delta ABC[/tex]

Here [tex]AD[/tex] is the height

We need to draw perpendicular from [tex]A[/tex] to [tex]BC[/tex]

The distance from the point [tex](m, n)[/tex] to the line [tex]A x+B y+C=0[/tex] is given by:

[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}[/tex]

First let us calculate equation of [tex]BC[/tex]

[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{2--1}{3--1} (x-3)\\\\y-2=\frac{3}{4} (x-3)\\\\4y-8=3x-9\\\\3x-4y=1[/tex]

Now distance from [tex](-1,1)[/tex] to [tex]3x-4y-1=0[/tex] is

[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}\\\\=\frac{|3 \times1+-4\times-1-1|}{\sqrt{3^{2}+(-4)^{2}}}\\\\=\frac{6}{5}\\\\=1.2[/tex]

on a winter day, the maximum temperature of an island was recorded 15.5°C and the minimum temperature was recorded -2.5°C. what is the difference between the maximum and the minimum temperature on that day?​

Answers

Answer:

The difference between the maximum and the minimum temperature on that day is [tex]18^0C[/tex]

Step-by-step explanation:

The maximum temperature of an island was recorded [tex]15.5^0C[/tex]

The minimum temperature was recorded [tex]-2.5^0C[/tex]

Difference in temperature

[tex]=15.5--2.5\\\\=18^0C[/tex]

Answer:

the difference between 15.5 and -2.5 is 18

Step-by-step explanation:

Find the measures of x and y

Answers

Answer:

x = 65°y = 25°

Step-by-step explanation:

We can clearly see that 90 = x + 25. Let's solve for x.

=> 90 = x + 25=> x = 65°

Since we found x, we can find y by substituting x in the equation 90 = x + y

=> 90 = x + y=> 90 = 65 + y=> y = 25°

Conclusion:

Therefore, we found that:

x = 65°y = 25°

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Is 30 squared, 10 squared, 50 squared, 30 squared, or 60squared closest to 5?

Answers

Answer:

if you are dividing by 2 then 10 is closer but if you multiplying .. 10 is still closer

2. List the like terms in each of the following
i) 4x2 , -5x , 6 , 7x , -2x2 , -3

Answers

he is the best way to get a free agent and I ask 6262626

4x^2 and -2x^2
-5x and 7x
6 and - 3

4. A donut shop bakes 4 dozen donuts every 18 minutes. How long did it take for the bakery to complete its
order of 144 donuts?

Answers

Answer:

54 minutes

Step-by-step explanation:

4 Dozen is 48

So we will need to know how many 18 minutes it takes to back 144 donuts

So divide 144 by 48

Which is 3

So you will need 3, 18 minutes to make 144 donuts

Now multiply 18 by 3 which is 54

So it takes 54 minutes to bake 144 donuts

Hope this helps!

Step-by-step explanation:

4 Dozen = 4 x 12 = 48 every 18 minutes

144/48 = 3

3 x 18 = 54 minutes

Jacob R. Scored a 25 on his quiz Last week. This week he scored a 70 on his quiz. By what percent did jacobs improve his grade?

Answers

Based on his score last week and his score this week, we can say that Jacob increased his score by 180%

Jacob scored 25 in his test last week and then this week scored 70.

The increase can be found as:

= (New score - Old score) / Old score x 100%

Solving gives:

= (70 - 25) / 25 x 100%

= 180%

In conclusion, Jacob increased by 180%

Find out more at https://brainly.com/question/22444616.

Please help- not a test. 15pts.
The orthocenter of ΔABC lies at vertex A. What can you conclude about the line segments BA and AC? Explain.

Answers

Answer:

You can conclude that the line segments BA and AC are perpendicular to each other.

Step-by-step explanation:

That is because in this case, the triangle presented would be a right triangle. In right triangles, the orthocenter is the vertex of the triangle where two of the segments intersect perpendicularly, forming a 90 degree angle. As the orthocenter is where the altitudes intersect (altitudes are 90 degrees), we are able to conclude that BA and AC are perpendicular to each other.

Answer:

CE

AE

segment addition postulate

Given: ABC is a triangle.

To prove: BC + AC > BA

Proof: In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to CE and AE is the shortest distance from A to CE because of the shortest distance theorem.

Therefore,  and .

Now, add the inequalities, we get

.

Then,  because Segment addition postulate (states that given 2 points E and F, a third point D lies on the line segment EF if and only if the distances between the points satisfy the equation ED + DF = EF)

Therefore,  by substitution.

Step-by-step explanation:

Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression that represents Kali’s earnings for the week is shown.
2 (8 x) + 5 (box)
Which number should go in the box to complete the expression?
2
5
6
8

Answers

Answer:

8

Step-by-step explanation:

2(8x) + 5(8)
8 will go in the box

Use the diagonals to determine whether a parallelogram with vertices A(2, 7), B(7, 9), C(5, 4), and D(0, 2) is a rectangle, rhombus, or square. Give all the names that apply.

Answers

Step-by-step explanation:

A and B have among each other the same distance relation as D and C : +5 in x, and +2 in y direction

and D and A have among each other the same distance relation as C and B : +2 in x, and +5 in y direction.

that means the slope of the first pair of sides is 2/5, and the slope of the second pair of sides is 5/2.

and that means that these 2 pairs of lines are not perpendicular (for this not only would we need to have the ratio upside down but also the sign would need to be flipped). there are no 90° angles.

so, there is no rectangle or square.

but because the sums of x and y coordinate differences are the same, we have the same distances between neighboring points.

and that makes it a rhombus.

Find m angle O Y X in the diagram above.
URGENT!!

Answers

Answer:

• Angle OYW or Angle WYO is 90°

• Angle OYX or Angle XYO is 90°

• Angle WYX is 180° [ A straight line ]

Step-by-step explanation:

Line WYX is a perpendicular bisector of radius lind of the circle.

[tex]{}[/tex]

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