Select the quadratic that has roots x = 8 and x = -5.
A
x2 + 3x - 40
B
x² – 3x – 40
C
x? + 13x + 40
D
x? - 13x + 40

Answers

Answer 1

[tex]\text{ The roots are}~ \alpha = 8~ \text{and}~ \beta = -5\\\\\text{Equation for the given roots,}\\\\x^2 -(\alpha +\beta )x +\alpha \beta = 0\\\\\implies x^2 -(8-5)x + 8(-5)=0\\\\\implies x^2 -3x -40=0\\\\\text{Hence, the answer is option B}[/tex]


Related Questions

When K is negative the parabola ………..

Answers

Answer:

  has its vertex below the x-axis

Step-by-step explanation:

In the vertex form equation for a parabola, the parameter k is the y-coordinate of the vertex.

__

When k is negative, the parabola has its vertex located below the x-axis.

Susan gave 1/6 of a pizza to her brother. She gave 1/3 of what was left to
her mother. Susan ate the rest herself. What fraction of the pizza did Susan
eat?
°1/2
°1/9
°1/18
°5/9

Answers

Answer:1/2

Step-by-step explanation: after giving some to her brother she has 5/6 left to take 1/3 from that you need to make it have a common denominator. to do that multiply it by 2 so you get 2/6. then do 5/6-2/6=3/6. 3/6 simplied is 1/2.

Solve for the value of k.
(k+1)°
42°

Answers

Well first you subtract 90 and 47 since you see that little square it mean 90 degrees so therefore. you would get 43 for your answer Then you do

k+1=43
-1 -1
————
k= 42


Hope this helped !!!

What is the range of the function graphed below?

Answers

The answer is A hope this helps (please give me points


What is the measure of BDC?

Answers

Answer:

250 degrees

Step-by-step explanation:

180-55 = 125

360-125= 250

Calculate the perimeter of the following figure.
11 inches
4 inches
3 inches
4 inches
7 inches

Answers

Answer:

29 inches

Step-by-step explanation:

add all the sides

11+4+3+4+7=29

Answer:

29 inches

Step-by-step explanation:

⇒ Perimeter = Sum of the lengths of the sides

⇒ P = 11 + 4 + 3 + 4 + 7

⇒ P = 18 + 11

⇒ P = 29 inches

if 8 pieces are 220 calories how many calories is 1 piece

Answers

Step-by-step explanation:

8 pieces = 220 colories

1 piece = 220/8 = 27.5 calories

Answer:

27.5

Step-by-step explanation:

8 divided by 220 = 27.5

Sorry about the fisrts time i put the 8 in frunt and 220 in the back so it was all back werds Sorry about that

And Hope This Helps

Solve the equation for x. Assume a≠0. 4=ax−14

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \tt \dashrightarrow \:4 = ax - 14[/tex]

[tex]\qquad \tt \dashrightarrow \:ax = 4 + 14[/tex]

[tex]\qquad \tt \dashrightarrow \:ax = 18[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \dfrac{18}{a}[/tex]

You make a shade of green icing using 2 drops of yellow food coloring for every 4 drops of blue. How many drops of blue food coloring would you need if you use 4 drops of yellow food coloring? how many drops of blue food coloring would u need if you use 4 drops of yellow food coloring ​

Answers

Answer:

8 drops of blue

Step-by-step explanation:

You doubled the yellow from 2 drops to four

  so double the blue from 4 to 8

HELPPPPPPPPPP!!!!!!!!!!!!!

Answers

A. true

B. false

C. false

D. false

hope it helps

have a good day :)

Which of the following means greater than or equal to?
A. Aleast
B. Maximum
C. Not greater than
D. At most

Answers

Answer:

at least

Step-by-step explanation:

i don't know how to fully explain it, but by saying "atleast x" you're saying the minimum value it can be will be x. Maximum means it will not exceed that number, along with "not greater than" and "at most"

The resistance, R, of a wire varies directly as its length
and inversely as the square of its diameter. If the
resistance of a wire 300 ft long with a diameter of
0.09 inches is 17113 ohms what is the resitance of
900 ft of the ame type of wire with a dister of
0.39 inches
Round off your final answer to the nearest hundredth.

Answers

Answer:

2733.73

Step-by-step explanation:

[tex]r = \frac{kl}{ {d}^{2} } [/tex]

[tex]17113 = \frac{300k}{ {0.09}^{2} } [/tex]

[tex]k = 0.462[/tex]

[tex]r = \frac{0.462 \times 900}{ {0.39}^{2} } [/tex]

[tex]r = 2733.73[/tex]

[tex]\qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with }\underline{z^5} \end{array} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}x}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{array}{llll} \textit{\tiny "R" varies directly}\\ \textit{\tiny with "L" and inversely}\\ \textit{\tiny as the square of "d"} \end{array}~~R=\cfrac{kL}{d^2}\qquad \qquad \textit{we also know that} \begin{cases} L=300\\ d=0.09\\ R=17113 \end{cases} \\\\\\ 17113=\cfrac{k(300)}{0.09^2}\implies 17113(0.09^2)=300k \\\\\\ \cfrac{17113(0.09^2)}{300}=k\implies 0.462051 = k~\hfill \boxed{R=\cfrac{0.462051L}{d^2}}[/tex]

[tex]\textit{when L = 900 ft and d = 0.39 in, what is "R"?} \\\\\\ R=\cfrac{0.462051(900)}{0.39^2}\implies R\approx 2734.03[/tex]

Please answer the question in the picture for brainliest

Answers

Answer:

26

Step-by-step explanation:

simply count the number of times the team scored more than 50 points by looking at the graph.

the team scored 51-60 points 11 times, 61-70 points 12 times and 71-80 points 3 times.

so the team scored more than 5 points a total of 11 + 12 + 3 = 26 times

Answer:

26

Step-by-step explanation:

Game scores above 50 points can be represented by the last three boxes to the left. To find the total number of times this happened, add up the values measured by the y-axis:

51-60 = 11 games

61-70 = 12 games

71-80 = 3 games

11 + 12 + 3 = 26

I hope this helps!

can somebody help me please

Answers

Answer:f(4) = 122

________________________________________________

Calculate

[tex]Substitute\ x=4\ into\\ f(x)=7x^2+4x-6[/tex]

_________________________________________________

Substitute

[tex]f(4)=7\times 4^2+4\times 4-6[/tex]

___________________________________________________

Calculate the power

[tex]f(4)=7\times 16+4\times 4-6[/tex]

___________________________________________________

Calculate the product or quotient

[tex]f(4)=112+4\times 4-6\\ f(4)=112+16-6[/tex]

___________________________________________________

Calculate the sum or difference

[tex]f(4)=128-6\\ f(4)=122[/tex]

I hope this helps you

:)

Find the value of x. X+5 4 2x A x = [?] Enter​

Answers

Answer:

x = 3

Step-by-step explanation:

In [tex]\triangle ABC,\: DE||AC[/tex]

[tex]\implies [/tex]By Basic Proportionality Theorem:

[tex]\frac{BD}{DA}=\frac{BE}{EC} \\ \\ \implies \: \frac{x + 5}{2x} = \frac{4}{3} \\ \\ \implies \: 3(x + 5) = 4(2x)\\ \\ \implies \: 3x +15 = 8x \\ \\ \implies \: 3x - 8x = - 15 \\ \\ \implies \: - 5x = - 15 \\ \\ \implies \: x = \frac{ - 15}{ - 5} \\ \\ \implies \: x = 3[/tex]

Lillian spent 18 minutes practicing her spelling words. How many seconds did she practice?

Answers

Answer:

1080 seconds.

Step-by-step explanation:

There are 60 seconds in a minute. As provided in the question, Lillian spent eighteen minutes, so 18x60=1080.

Answer:

1,080 seconds

Step-by-step explanation:

Can someone tell me what I did wrong here

Answers

Answer:

should have divided it directly ........ maybe or it's just messy........ maybe

Step-by-step explanation:

..........

...........

8x + 16 = 36

8x = 36 - 16

8x = 20

x = 20 / 8

x = 2.5

what is the answer because i dont know

Answers

Answer:

x° = 68°

Step-by-step explanation:

angle EGB = x° = angle AGF = complementary angle of 22°

The complementary angle of 22° is :

[tex]x^{o} =(90-22)^{o} =68^{o}[/tex]

Hope this helps

An unknown number x is at most 10. Which graph best represents all the values of x?

Answers

Answer:

It is the last one.

Step-by-step explanation:

I know Math :)

The bottom graph, as the black dot represents less than or equal to

Which of the numbers listed below are solutions to the equation? Check all
that apply.
x² =-7
A. - 77
B. 49
C.-3.5
D. 17
DE.-7.
DF. None of these

Answers

Answer:C is the right answer

Step-by-step explanation:

10)A shirt normally costs £42. If you receive a 15% discount, how much change will you get from £50? o £35.70 o £23.00 o £8.00 o £14.30​

Answers

Answer:

35.70

Step-by-step explanation:

because 15% of 42 is 6.3 and 6.3 - 42 = 35.70

find the value of X in the figure below and on the Centre of carde O​

Answers

Answer:

x=55°

Step-by-step explanation:

180_70( radii,sum of ^'s of a ∆)

=110

110%2(^at centre=2×^at the circum)

x=55°

88.60 plus what equals 153.25

Answers

Answer:

64.65

Step-by-step explanation:

153.25 - 88.60 = 64.65

88.60 + 64.65 = 153.25

Answer:

64.65

Step-by-step explanation:

153.25 - 88.60 = 64.65

64.65 + 88.60 = 153.25

Mrs. Angle has 12 students in her advanced algebra class. On a recent test, the average was 80. When Beth asked for her score, Mrs Angle could not find it, but she did remember adding Beth's score in the average. She also remembered Beth had passed. These are the scores of the other students

65, 65, 70, 70, 80, 85, 90, 90, 90,100.

What is Beth's score?

Answers

Answer:

75

Step-by-step explanation:

Let the Beth's score is x.

The average is 80.

Solve the following equation:

average = sum / number(65*2 + 70*2 + 80 + 85 + 90*3 + 100 + x)/11 = 80805 + x = 80*11x = 880 - 805x = 75

Beth's score was 75

In the figure below, the segments IJ and IK are tangent to the circle centered at O. Given that OJ=8.4 and OI=15.9, find IK.

Answers

Answer:

IK = 13.5

Step-by-step explanation:

A^2 + B^2 = C^2

(8.4)^2 + B^2 = (15.9)^2

70.56 + B^2 = 252.81

B^2 = 182.25

B =13.49925... ≈ 13.5 = IK


In the figure below, L is parallel to M. Find X

Answers

Answer:

Let's first try to find the angle supplementary to measure 141°.

(Supplementary angles are two angles that add up together to equal 180°).

Set up an equation;

141 + x(unknown angle measure) = 180°

Solve for x:-

141 + x = 180

-141        -141

x = 39°.

Now that we've found one of the interior angles measure to this triangle, we will use this value to figure out the angle measure next to 'x'.

If we think of the line (highlighted in the picture I attached to this), extended, we can kind of make out of this line as a transversal cutting into the two parallel lines(L & M).

Furthermore, the measured angle 39°, is an alternate interior angle with the missing angle next to 'x'(highlighted with yellow in my picture).

And, alternate interior angles are congruent(meaning they measure the same degree).

Therefore, we can infer that the missing angle next to 'x' is also 39°.

Now that we've found one angle measure and another angle(given) next to x, we can see that angle x and those two angle measures (48° and 39°) combined are supplementary!

So now that we know that angles 48° and 39° are supplementary with x, we can find the value of x by finding it's supplement value!

Arrange an equation;

(48 + 39) + x = 180°

Simplify and solve for x:-

87 + x = 180

-87        -87

x = 93°, hence ∠X = 93°.

If the cube shown above is sliced by a plane to create a triangle, which sets of vertices could the plane pass through?
A.
4, 5, and 7
1, 2, and 7
2, 3, and 7

B.
1, 3, and 4
2, 3, and 8
1, 3, and 7

C.
3, 5, and 8
1, 2, and 6
2, 4, and 7

D.
4, 5, and 7
1, 3, and 8
2, 4, and 7

Answers

Answer:

The correct answer is D.

4, 5, and 7

1, 3, and 8

2, 4, and 7.

Hope this helps you czn!!!!!

Thankyou For joining Brainly Community!!!!

Don't froget Mark me Brainleast!!!!

Answer: the correct answer is d .

4,5 and 7

1,3 and 8

2,4 and 7

Step-by-step explanation: I HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .

How much will $2000 deposited in an account earning 5% interest compounded
annually be worth in 20 years?

Answers

Answer:

Interest = 2000

Total = 4000

Step-by-step explanation:

The formula to find interest:

Interest = Original Amount x Rate x Time.

Substitute the numbers into the formula.

I = 2000 x 0.05 x 20

You must change the percentage to a decimal.

Solve for I

I = 2000 x 0.05 x 20 = 100 x 20 = 2000

The interest is $2,000. To find the amount in total after 20 years, add the interest with the original amount.

2000 + 2000 = 4000

I hope this helps and please mark me as brainliest!

answer this. pleaaaaseeee

Answers

Answer:

look at analysis

Step-by-step explanation:

11. 23.81

12.

part A

y is 12 and x is 4

part B

4

part C

5×12×4

240

save my exams
Head to savemyexams.co.uk for more awesome resources
sestion 1
In one week, Neha spends hours cooking and y hours cleaning.
The time she spends cleaning is at least equal to the time she spends cooking.
This can be written as y > r.
She spends no more than 16 hours in total cooking and cleaning.
What are the two inequalities in x and /or y to show this information

Answers

Answer:

Y ≥(greater than or equal to) R or Y ≤(less than or equal to) R

The phrase at least means about equal to, represented by that sign. In this case, equal to, because x + y = 16 total since she spent 16 hours cooking and cleaning. That would mean they both have to equal 8 to get 16. You can also do 10 + 6 to get 16. There are a few more solutions after this you can try, which I will not list at the moment.

__________________________________________________________

Questions?

Ask in the comments box.

Other Questions
Which of the following verb phrases means 'to take a boat ride'?O A. pasar tiempo en el boteO B. pasear en boteO C. Estar de paso por el boteO D. estar de viaje en el bote which changes the angle of a picture skew or select or find x^2-8x+16=3 solve using square roots Draw the graph of the equation x+5y=6 The sum of the squares of the odd integers between 0 and 100. Using summation notation What is the value of x^2+y^2 given the following system?x+y=10x-y=8 Can someone help me please, its for plato algebra 2-1 Find the perimeter and area of the shaded figure below. I Need help asap!!!!!!!!!!!!!!!!!! I NEED HELP ANSWERING THIS QUESTION PLEASE HELP!! Choose the option that best matches the description given. One of many fieldwork positions in direct services is . why is peace and friendship called as the two sides of the same coin I'LL GIVE BRAINLIEST AND 100 POINTS| Which answer choice correctly completes the sentence? When solving a story problem, the first step is to A. guess the correct answer and then check to see if you are correct. B. write the facts, organize your thoughts and then define your strategy. C. identify what you need to do to solve the problem. D. read the problem carefully and find the question. What is the term for the number assigned to you that helps a lender judgeyour ability to repay a loan?O A. Debt-to-credit ratioO B. Credit scoreO C. Debt ratingO D. Credit limitits B. Help!1. In ceramics class, Robert made a cone with a radius of 2.5 inches and a height of 9 inches. What was the volume of the cone?Use 3.14 and round your answer to the nearest whole number.2. Later, Robert made a cylinder with the same radius and height as the cone. What is the volume of the cylinder?Use 3.14 and round your answer to the nearest whole number.3. Complete the sentence below that describes the relationship between the volumes of the cone and cylinder. Use a whole number.The cone and cylinder have the same height and radius, so the volume of the cylinder is ____ times the volume of the cone. credit card cash advanceborrow: $300rate: 18% per yeartime: 6 months-,53006 Find the exact value.sin 94Type + or - I need an introductory paragraph, i have this so far can you help be build this up?I need five sentences total, so three moreKids who take care of pets learn what it feels like to have a living creature rely on them, and that teaches responsibility in a way little else can. Caring for a pet creates a sense of empathy and a respect for life. It teaches commitment and consistency. (07.05 MC)Which of these Transcendentalist writings had the most direct influence on African American activists in the 1950s and 1960s? (5 points) a"Ambition" b"Orphic Sayings" c"Woman in the Nineteenth Century" d"Two Rivers"Question 4 (5 points)(07.05 LC)Transcendentalism was centered on writers and thinkers from which region? (5 points) aAppalachia bThe Midwest cNew England dThe SouthQuestion 5 (5 points)(07.05 LC)Which of these values was central to the Transcendentalist writers? (5 points) aConnection with nature bConnection with urban life cPatriotism for the United States dCharity for the poor Does someone know how to do this? I only have a few hours before I have to turn this in