1. Which quadratic equation has 5 and - 4 as its solutions?

Answers

Answer 1

Answer:

x²-x-20

Step-by-step explanation:

Using Vieta's formula

x²-(sum of roots)x+(product of roots)=0

x²-(5+-4)x+(5×-4)=0

x²-x-20=0


Related Questions

PLEASE ANSWER ASAP!! I'll mark brainliest!!

Jaclyn estimates the square root of 32 in the following way:
√32 = 2√16 = 2 ∗ 4 = 8

(a) Explain why her reasoning is incorrect.

(b) Rewrite the problem and solve it correctly. Clearly show your work.

Answers

a) she put the numbers in the wrong place, V2 ≠2

b) V32= 4V2

Jill usually rides her bike at a speed of 10 miles per hour. Let x represent the hours and y represent miles. Write an equation that shows the relationship between x and y.

Answers

Answer:

y = 10x

Step-by-step explanation:

If x represents the hours & y represents the miles, your equation should be in multiplication.

10 miles an hour would be 10x and y would be the total. You can also plug in the answer to check. Let's say x is 2. Plug that into 10x and you get 10(2) = 20 and since y is 20, that'd be 20 miles. Therefore, you'd be running 20 miles in 2 hours, which makes sense because your rate is 10 miles an hour.

How do I graph h(x) = 4|x+4| +3

Answers

Answer:

Move the point on the diagonal to (1,4) then move the vertex 4 units left and 3 units upwards

Step-by-step explanation:

Easy question! First one to answer gets brainliest!

2x + 5 = 21

Answers

[tex]2x + 5 = 21[/tex]

Subtract both sides 5

[tex]2x + 5 - 5 = 21 - 5[/tex]

[tex]2x = 16[/tex]

Divide both sides by 2

[tex] \frac{2x}{2} = \frac{16}{2} \\ [/tex]

[tex]x = 8[/tex]

Answer:

8

Step-by-step explanation:

To determine the value of "x", we need to isolate the "x" variable completely. The first step in isolating the variable is to remove the constant on the L.H.S. This can be done by subtracting 5 both sides.

⇒ [tex]2x + 5 = 21[/tex]

⇒ [tex]2x + 5 - 5 = 21 - 5[/tex]

⇒ [tex]2x = 16[/tex]

The last step in isolating the "x" variable is to isolate the cooeficient of x. This can be done by dividing the cooeficient of x both sides.

⇒ [tex]2x = 16[/tex]

[Cooeficient of x is 2]

⇒ [tex]\frac{2x}{2} = \frac{16}{2}[/tex]

⇒ [tex]x = \frac{16}{2} = 8[/tex]

In conclusion, the value of the "x" variable is 8.

Lilit and Sergio sold candles for a class trip. On the first day, Lilit sold 8 candles and Sergio sold 10 candles. For the next three days, both sold another 3 candles each day.PLEASE HELP

Answers

Answer:

Lilit- 17 candles

Sergio- 19 candles

Step-by-step explanation:

this is the most probable answer.

Calculate the down payment percent using the following information:
Purchase price: $281,700.00
Closing costs: 2.4% of purchase price
Total move-in costs: $57,466.80
18.0%
20.4%
21.0%
23.5%​

Answers

Answer:  Choice A

18.0% which is the same as 18%

==========================================================

Work Shown:

p = purchase price = $281,700

c = closing costs

c = 2.4% of purchase price

c = 0.024p

c = 0.024*(281,700)

c = 6,760.80

d = unknown down payment amount

m = total move in costs = $57,466.80

m = d + c

d = m - c

d = 57,466.80 - 6,760.80

d = 50,706

down payment percent = d/p = (50,706)/(281,700) = 0.18 = 18%

18% of the purchase price is the down payment.

The cost to rent a condominium at the beach is $1,500 per week. If two people share the cost, they each have to pay $750. Explain why the relationship between the cost per person varies inversely with the number of persons sharing the cost. Then write an inverse variation function that can be used to calculate the cost per person, c, of p persons sharing the rental fee.

Answers

Answer:

1.  The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.

2. c = 1500 / p

Step-by-step explanation:

1. Lets look at the cost comparison per number of tenants.

1 person = $1500 per person

2 people = $750 per person

3 people = $500 per person

As you see, as the number of people increase, the cost per person decreases.

2. If you are splitting the cost, then you are dividing equally.

The rent is divided between the number of people

      1500    /                                    p

c = 1500 / p

Answer:

1.  The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.

2. c = 1500 / p

Step-by-step explanation:

1. Lets look at the cost comparison per number of tenants.

1 person = $1500 per person

2 people = $750 per person

3 people = $500 per person

As you see, as the number of people increase, the cost per person decreases.

2. If you are splitting the cost, then you are dividing equally.

The rent is divided between the number of people

     1500    /                                    p

c = 1500 / p

What is 3 1/2 + (-6) - (-1 1/2-9 3\4 ) simplified?​

Answers

Answer:

8.75

Add everything together

A linear model is used to determine the amount owed on a loan of $5,000 with simple interest of 4.25%. The model is A = 5000 + 5000(0.0425t), where A is the Amount (total principal plus interest) required to
Use the model to determine how long it would take for the loan amount to reach $7,000. Round to the nearest tenth

Answers

Answer:

9.4

Step-by-step explanation:

Hey there!

The question is asking us to use the model to find how long it would take for the loan amount to reach 7,000

In order to answer this, we need to make 7,000 equal to the equation:

7000=5000+5000(0.0425t)

Subtract 5000 from both sides

2000=5000(0.0425t)

Now we simplify the RHS

2000 = 212.5t

Now you divide both sides by 212.5 to get t by itself

t=9.41

So it would take 9.4 months for the loan amount to reach 7000

What type of number is -4/2

Answers

Answer:

It is a negative rational number. This is because it is an improper fraction that is equivalent to -2.

Step-by-step explanation:

Please answer this it would be very helpful if you did.

Answers

Answer:

See below ↓↓↓

Step-by-step explanation:

Probability of getting heads

Outcome (head) = 1Total outcomes = 2P (head) = 1/2

Probability of getting an odd number

Outcome (odd) = {1, 3, 5} = 3Total outcomes = 6P (odd) = 3/6 = 1/2

The outcomes are equally likely because the probabiity of each outcome is the same.

someone help, its calc

Answers

Differentiate

[tex]\\ \rm\rightarrowtail f'(x)=\dfrac{d}{dx}(2x^2+9x)[/tex]

[tex]\\ \rm\rightarrowtail 4x+9[/tex]

Put x=5

f'(5):-

4(5)+920+929

Option C

instantaneous rate can be found by differentiating the function.

Here,

f(x) = 2(x)² + 9(x)

so differentiating:

f'(x) = d/dx (2(x)² + 9(x))f'(x) = 4(x) + 9

So when x = 5,

f'(5) = 4(5) + 9f'(5) = 20 + 9f'(5) = 29

find the surface area of each rectangular prism​

Answers

SA = 2(wl + hl + hw)

1) SA= 2[(9*13)+(3*13)+(3*9)] = 366 mm^2
2) SA = 2[(4*20)+(6*20)+(6*4)] = 448 cm^2
3) SA= 2[(6*5)+(14*5)+(14*6)] = 368 m^2
4) SA= 2[(4*17)+(14*17)+(14*4)] = 724 ft^2
5) SA= 2[(4*13)+(19*13)+(19*4)] = 750 in^2
6) SA = 2[(3*9)+(14*9)+(14*3)] = 390 mm^2

For 7 points and brainliest to the best correct answer, find the missing measures. Question is in photo, thanks.

Answers

Answer:

X = 2

AB = 39

CB = 27

Step-by-step explanation:

Since it's a parallelogram (two pairs of parallel sides), we can set each opposite side equal to each other. We know the equation for two opposite sides, side AD and side CB, therefore:

[tex]AD=CB\\14x-1=9x+9\\5x=10\\x=2[/tex]

Now that we know x, we can solve the other equations:

[tex]12x+15=AB\\12*2+15=AB\\24+15=AB\\39=AB[/tex]

And:

[tex]9*2+9=CB\\18+9=CB\\27=CB[/tex]

What is the area of this triangle?
1375 ft
1500ft
3300ft
4500ft

Answers

Answer:

probably 20 man think about it

Step-by-step explanation:

How many electrons can there be in the 5s subshell.

Answers

s orbital mentioned

Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10

Hence 5s contains 2electrons

Rule for electron in nth shell=2n²

will someone please help me?

Answers

Answer:

x=-1

Step-by-step explanation:

1.(-9-11)(-4)/-7^2+(11*2^2)

2. =-20/-4/-7^2+11(2^2)

3. =5/7^2+11(2^2)

4. =5/-49+11(2^2)

5. =5/-49+(11)(4)

6. = 5/-49+44

7.=5/-5

8. x=-1

Times New Roman has tiny lines at the tips of letters, creating an appearance of old-style writing with a fountain pen. Those tiny lines are called _____.

Answers

those tiny lines are caked serifs

Find the length of the midline KH in Trapezoid SQUAD.​

Answers

Question

Find the length of the midline KH in Trapezoid SQUAD.

Answer

[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]

use the midpoint formula to find the coordinates of points K and H

[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: K} & \\ & \sf \\ \sf{Q( 0, 0 )\: U( c, d )}\\ \tiny \times = \times \frac{ \times 1 \: + y \: 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} \\ \tiny{ \times = \frac{0 \: + \: c}{2} \: y = \frac{0 \: + \: d}{2} } \\ \tiny{ \times = \frac{c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny \red{the \: coordinates \: of \: point \: K \: are \: ( \frac{c}{2} . \frac{d}{2} )} \end{array}}}\end{gathered} [/tex]

[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: H} \\ \\ \tiny{b),d] D(a,0)} \\ \tiny \times = \frac{ \times 1 \times 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} & \\ \tiny{ \times = \frac{a + (c + b)}{2} \: \: y = \frac{0 + d}{2} } &\\ \tiny{ \times = \frac{a + b + c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny\red{ The\: coordinates\: of\: point \:H\: are ( \frac{a + b + c}{2} , \frac{d}{2} ) }\end{array}}}\end{gathered} [/tex]

b. use the distance for mula to find the length of KH

[tex] \sf \: k( \frac{c}{2} . \frac{d}{2} ) \: \: \: h( \frac{a + b + c}{2} . \frac{d}{2} )[/tex]

[tex] \sf \: d = \sqrt{(x2 - \times 1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

[tex] \sf \: kh = \sqrt{ \frac{[a \: + \: b \: + \: c}{2} - \frac{c}{2} {}^{2} + ( \frac{d}{2} - \frac{d}{2}) ^{2} } [/tex]

[tex] \sf \: kh = \sqrt{ (\frac{a + b}{2}) {}^{2} + (0) {}^{2} } [/tex]

[tex] \sf \: kh = \sqrt{( \frac{a + b}{2}) {}^{2} } [/tex]

[tex] \sf \: kh = \frac{a + b}{2} [/tex]

Final Answer

[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]

(3+√3) x (2+√2) gr 9 maths sum from number system ans fast pls

Answers

(3+√3) x (2+√2)

6 + 3√2 + 2√3 + √3√2

6 + 3√2 + 2√3 + √6

Answer:

6 + 2√3 + 3√2 + √6

Step-by-step explanation:

The equation :

(3 + √3)(2 + √2)

Using Distributive Property,

3(2) + √3(2) + 3(√2) + (√3)(√2)6 + 2√3 + 3√2 + √6

In a times table test, Mr. Dolan's students score 21, 25, 17, 23, 25, 21, 27, 21, and 18 out of a total of 35. Find the measures of center and then type a numerical answer only in spaces below. mean = median = mode =​

Answers

The measures of center of the students score are:

Mean = 22

Median = 21

Mode = 21

What are Measures of Center?

Measures of center of a data distribution are the mean, median, and mode.

Given the data, 21, 25, 17, 23, 25, 21, 27, 21, 18:

Mean = sum of all data values / number of data values = 198/9 = 22

Median = the middle value in the ordered data set = 21

Mode = the most appeared data value = 21 (appeared 3 times)

Learn more about the measures of center on:

https://brainly.com/question/1378589

Write an equation for a line that contains the point (0,4) that is parallel to the
equation below.
y= -7x+1

Answers

Step 1: Find the Slope

Parallel lines have the same slope, therefore the slope of our new line is also -7.

Step 2: Find the Y-Intercept

Once we have the slope and a point on the line, we can solve for the y-intercept. Plug in the slope and the given point into slope-intercept form and solve for b.

Slope-Intercept Form: y = mx + b

Slope = -7

Point = (0, 4)

4 = -7(0) + b

b = 4

Step 3: Form the Equation of the Line

Now that we have both the slope and the y-intercept of the new line, all that's left to do is plug those values into slope-intercept form.

Slope-Intercept Form: y = mx + b

m = -7

b = 4

Equation of the New Line: y = -7x + 4

Answer: y = -7x + 4

Hope this helps!

Answer:

y = -7x + 4

Step-by-step explanation:

Given

point = (0, 4)parallel to y = -7x + 1

Solving

Slope of new line is also -7y - 4 = -7(x - 0)y - 4 = -7xy = -7x + 4

Which fraction below represents a repeating decimal?

Answers

Answer:

22/12

Step-by-step explanation:

solve fox x 8 = 3a - 4

Answers

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

8-(3*a-4)=0

Pull out like factors :

12 - 3a = -3 • (a - 4)


Solve : -3 = 0

Solve : a-4 = 0

Add 4 to both sides of the equation :
Answer a = 4

i cant figure this problem can you guys help/

Answers

Answer:

r = 6.998 in

D = 13.996 in

C = 43.9697 in

Step-by-step explanation:

Area = π[tex]r^2[/tex]

153.86 = π[tex]r^2[/tex]

153.86/π = [tex]r^2[/tex]

sq root(153.86/π) = r ≈ 6.998 in

Diameter = 2r

D = 2(6.998) = 13.996 in

Circumference = 2πr

C = 2π(6.998)

C = 13.996π ≈ 43.9697 in

Hope this helps!

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

1 1/2 or 1.5

As a simplified fraction

If this helped pls give brainlest.

Find X and y in the triangle.

Answers

Answer:

Step-by-step explanation:

GRADE 9 maths! due tonight please help!!

Answers

Answer:

Step-by-step explanation:

Transformation MATHS
anyone pls help me fond a solution to this ques

Answers

Answer:   (-h, -g)

======================================================

Explanation:

Transformation V reflects over the line y = 0, which is the x axis. All points on the x axis have a y coordinate of zero. Examples are (1,0) and (2,0).

To reflect over the x axis, we flip the sign of the y coordinate. The x coordinate stays the same. Example: The point (1,5) moves to (1,-5).

In general the rule is [tex](x,y) \to (x,-y)[/tex]

---------------------

Transformation W rotates the point 90 degrees clockwise around the origin (0,0). The rotation rule is [tex](x,y) \to (y,-x)[/tex].

For example, the point (1,7) rotates to (7,-1) when doing a 90 degree clockwise rotation around the origin. We move from the northeast quadrant to the southeast quadrant.

As you can see, we swap the x and y coordinates. Then we do a sign flip on the new y coordinate.

----------------------

Transformation X combines the two previous transformations. We do V first then W next. The order is important (see the next section as to why).

We're given the point (g,h) where we don't know g nor h.

The x axis reflection rule has us get to (g, -h) because we simply flip the y coordinate from positive to negative, or vice versa.

Then applying transformation W has us get to (-h, -g) as the final answer.

----------------------

As stated earllier, the order of the transformations is important. Let's say we did W first and then V next.

Apply transformation W to go from (g,h) to (h,-g)Apply transformation V to go from (h,-g) to (h,g)

The point (h,g) is different from (-h, -g) showing that the order does affect where the final point ends up.

However, some transformations can be composited together without worrying about the order. An example could be having a translation followed by another different translation.

chen and megan each have a set of numbered counters chen has= 1 2 3 4 megan has= 1 2 3 4 5 they each take thier own counters without looking chen says im more likley to get a 4 is he correct? explain your answer

Answers

Answer:

Yes, Chen is correct.

Step-by-step explanation:

Chen has 1/4 chance of getting a 4, whereas Megan has 1/5 chance of getting a 4.

1/4 = 0.25

1/5 = 0.20

Therefore, Chen is correct.

Other Questions
In a times table test, Mr. Dolan's students score 21, 25, 17, 23, 25, 21, 27, 21, and 18 out of a total of 35. Find the measures of center and then type a numerical answer only in spaces below. mean = median = mode = I NEED HELP PLEASE!!!!!Mimes are a form of entertainment ____. What happens in the netlike structure labeled B in the diagram?(A) Carbon dioxide and oxygen diffuse into the blood(B) Nitrogen and oxygen are exchanged,(C) Carbon dioxide and oxygen are exchanged,(D) Nitrogen and carbon dioxide remain constant, fill in the missing values of the following number patternsa) 24;12;0;__ ; __b) -36; -25; -16; __; __ HELP GIVING BRAINLIEST + STARS The following points (-4, 3), (-2, -1), (3, 1) are vertices of a parallelogram, find the coordinates of the THREE POSSIBLE LOCATIONS, of the fourth vertex How did the structure of the Han dynasty reflect Confucianism? Increasing rebellions represented the emphasis on warfare. Crowning a new emperor reflected the importance of loyalty. The multiple levels of bureaucracy reflected the belief in social order. The need for new leaders highlighted the importance of self-promotion. GRADE 9 maths! due tonight please help!! What is 40% of 160?OA 20OB. 40OC. 32OD. 64OE 75 Hello, can I please have a description of a forest that has it's good side and it's bad side when I say it's bad side I'm talking about a scary thing example "red eyes come out of the sembre" and is that it can be a text that is a bit long thank you to anyone who will answer. PLEASE ANSWER ASAP!! I'll mark brainliest!!Jaclyn estimates the square root of 32 in the following way:32 = 216 = 2 4 = 8(a) Explain why her reasoning is incorrect.(b) Rewrite the problem and solve it correctly. Clearly show your work. someone help, its calc How long does it take for a spaceship to get to the moon. What is 3 1/2 + (-6) - (-1 1/2-9 3\4 ) simplified? find the surface area of each rectangular prism Go Q 7x12 7what is it? What made the Model T car by Henry Ford so appealing for the average American?A. The cars were affordable for the middle class.OB. The cars had interchangeable parts.C. The cars were produced in a variety of colors.OD. The cars were less expensive than using mass transit. The solubility of a gas is 0.890 g/L at a pressure of 120 kPa. What is the solubility of the gas if the pressure is changed to 100 kPa, given that the temperature is held constant? Module 11 (Days 155-166) / Peer Review (Days 155-157)1. Why is it important for a peer to review your writing, in addition to reviewing it yourself?A peer has a better understanding of your topic than you do and can find mistakes.You still have the ideas in your head, so you may not notice when they did not make it onto the page.You will ignore all of the problems in your report because you won't want to fix the problems. What term best describes contractual agreements that restrict the use of land, ostensibly in order to preserve the value of adjacent land or a neighborhood