What are the two roots of the quadratic equation? y=x squared-3x-4

Answers

Answer 1

Answer:

{x | x ∈ R, 4,-1}

Step-by-step explanation:

[tex]y=x^2-3x-4[/tex]

[tex]y=x^2+x-4x-4[/tex]

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

[tex]y=x(x+1)+(-4)(x+1)[/tex] Distributive property

[tex]y=(x+(-4))(x+1)[/tex] Distributive Property

[tex]y=(x-4)(x+1)[/tex]

set y to 0

[tex]0=(x-4)(x+1)[/tex]

set the factors to 0

[tex]0=x-4; 0=x+1[/tex]

[tex]4=x; -1=x[/tex]


Related Questions

does anyone know what this is please help

Answers

Answer:

1)2 2)third 3)8

Step-by-step explanation:

So for the first one doubled just means times 2

for the second r³ means to the third power

for the last one all you do is put some values in and calculate the radius volume ratio which is, when the radius is doubled the volume is octupled (times 8)

would be amazing if you Marked this as brainliest

write an equation to describe the following situation in terms of Y and X ​

Answers

Answer:

[tex]y = 19000x \\ 19000 = 1 \times 19000 \\ 114000 = 6 \times 114000 \\ 133000 = 7 \times 19000[/tex]

An iPhone costs £850 in London, €800 in Paris and $1,000 in New York.
Using £1 = €1.18 and £1 = $1.43, state the lowest price of the iPhone in £.

Answers

Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

What is lowest value of iphone ?

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : [tex]$750 \times 1.14=6855$[/tex]

Pounds to dollars : [tex]$750 \times 1.39=\$ 1042.5$[/tex]

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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In a survey, 13 out of 20 teachers respond yesto a proposal for a new after-school club. In the same survey, 37 out of 50 students respond yes. a.Which group is more in favor of the new after-school club, teachersor students? Show your work

Answers

Answer: To compare the level of support for the new after-school club between teachers and students, we can calculate the percentage of individuals in each group that responded "yes" to the proposal.

For teachers: 13 out of 20 is equivalent to 13/20 = 0.65 or 65%

For students: 37 out of 50 is equivalent to 37/50 = 0.74 or 74%

Based on the percentage of individuals in each group that responded "yes," we can see that students are more in favor of the new after-school club than teachers. 74% of students responded "yes" to the proposal, while only 65% of teachers responded "yes."

It's worth mentioning that it's important to keep in mind that this comparison is based on the sample size of teachers and students that responded to the survey and not the whole population, also if the sample size isn't representative of the population and not randomly selected it can't be generalized.

Step-by-step explanation:

You want to test whether or not the following sample of 30 observations follows a normal distribution. The mean of the sample equals 11.83 and the standard deviation equals 4.53. 2 3 5 5 7 8 8 9 9 10 11 11 12 12 12 12 13 13 13 14 15 15 15 16 16 17 17 18 18 19 The number of intervals or categories used to test the hypothesis for this problem is a. 5. b. 6. c. 4. d. 10.

Answers

Answer:

b. 6

Step-by-step explanation:

The standard deviation is 4.53 approximately 5. The standard deviation  tells how far the data is located from the mean.

The total number of observations= 30

So dividing 30/5 gives  6

Hence 6 intervals or categories used to test the hypothesis for this problem

as each category will have a data point in it .

So the best option is b.

(please answer)When considering the cost of paying for college, which kind of aid MUST be repaid A) grants B) scholarships 0 student loans D work-study​

Answers

Answer:

A. grant

that's the answer

A beach ball has a diameter of 18 inches. Find the volume of air in the ball to the nearest cubic inch. DO NOT ENTER THE UNIT OF MEASURE!

Answers

Answer:

24,429 cubic inches

YWW:)

Kendra and Dalisay practice archery. Kendra hits the target 3 times every 5 misses. Dalisay hits the target 5 times every 7 misses. Who hits the target more?

Answers

Dalisay hits the target more.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Kendra hits the target 3 times every 5 misses.

And, Dalisay hits the target 5 times every 7 misses.

Since, Kendra hits the target 3 times every 5 misses.

Hence, In 1 misses Kendra hits the target = 3/5 times

                                                               = 0.6 times

And,  Dalisay hits the target 5 times every 7 misses.

Hence,  In 1 misses Dalisay hits the target = 5/7 times

                                                               = 0.74 times

Thus, Dalisay hits the target more.

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Solve for m: m-5/8=-1/4

Answers

M-5/8 = -1/4

Add 5/8 to both sides:

M = -1/4 + 5/8

Rewrite the fractions to have a common denominator

-1/4 = -2/8

Now you have m = -2/8 + 5/8

M = 3/8

Answer:

The answer is 0.375 (3/8)

Step-by-step explanation:

Since the M is subtracted by 5/8, you add 5/8 to both sides of the equation to get the M by itself and -1/4+5/8 equals 0.375, or 3/8


If LM = 20 cm, and PQ = 16 cm, what is the length of RM, in centimeters?

Answers

Answer:

RM = 12 cm

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Assuming 20 is the hypotenuse cus there is no picture:

[tex]a^{2} + 16^{2} = 20^{2}[/tex]

[tex]a^{2} +256 = 400[/tex]

[tex]a^{2} = 144[/tex]

[tex]a=144[/tex]

If It's not the hypotenuse:

[tex]16^{2}+ 20^{2} =c^{2}[/tex]

[tex]256+400 =c^{2}[/tex]

[tex]656=c^{2}[/tex]

[tex]c = 25.61249695[/tex]

But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.

Hope this helped. :0)

In a class, 40% of the students are girls. Of the girls in the class, 25% play tennis. There are 40 students in the class. How many girls in this class, play tennis?
a- 10
b- 16
c- 4
d- 24

Answers

Answer:

Let x=number of girls in the class

Then x+27 =total number of students in the class

So our equation to solve is :

40% of (x+27)=x or

0.40(x+27)=x get rid of parens

0.40x+10.8=x subtract 0.40x from each side

0.40x-0.40x+10.8=x-0.40x collect like terms

Step-by-step explanation:

how many milermiters are they in a centermeter ​

Answers

1 centimeter = 10 millimeters

Juan sold half of his comic books and then bought six more. If he now has 36 comic books, with how many did he begin?

Answers

Answer:

60

Step-by-step explanation:

he bought 6 so you need to subtract 6

which 36-6=30

and double 30 is 30

so its 60

HELP with this equation

Answers

Answer:

83°

Step-by-step explanation:

-4m+51-4m+42= 158°

-8m+94= 158

-8m= 64

m= -8

JMK= -4m+51

      = -4(-8)+51

      = 32=51

      = 83°

1. -4m+51+(-4m+43)=158
2. -8m+94=158
3. -8m=64
4. m=-8

Now you plug in m for the angle equation.
-4(-8)+51
32+51
83 degrees is the answer

Right triangle XYZ has legs of length XY = 12 and YZ 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?

Answers

Step-by-step explanation:

a probability is always

desired cases / totally possible cases.

now in our case the totally possible area is the area of the triangle XYZ (when D = Z).

the desired case is the area of 20 (which contains also the possibilities of smaller areas).

so, the probability is 20/area.

now, let's find the area of XYZ :

Pythagoras tells us the length of the Hypotenuse :

XZ² = XY² + YZ² = 12² + 6² = 144 + 36 = 180

XZ = sqrt(180)

the area based on all 3 sides we get via Heron's formula

s = (a+b+c)/2

A = sqrt(s(s-a)(s-b)(s-c))

s = (12+6+sqrt(180))/2 = 9 + sqrt(180/4) = 9 + sqrt(45)

sqrt(180) = 2×sqrt(45)

A = sqrt((9+sqrt(45))(-3+sqrt(45))(3+sqrt(45))(9-sqrt(45)))

(a+b)(a-b) = a² - b²

so,

(9+sqrt(45))(9-sqrt(45)) = 81 - 45 = 36

(-3+sqrt(45))(3+sqrt(45)) = 45 - 9 = 36

A = sqrt(36×36) = 6×6 = 36

the probability that the area of XYD is max. 20 is

20/36 = 5/9

What is the domain of the profit function P= 11w+6Z?
O A. Defined for all w> 0 and 2 2 0
O B. Defined for all w 2 0 and z> 0
O c. Defined for all w> 0 and z> 0
D. Defined for all w20 and 22 0

Answers

Answer:

defined for all w greater than or equal to 0 & z greater than or equal to 0

Step-by-step explanation:

The domain of value defined as w>0 and z>0. Therefore, option C is the correct answer.

What is domain and range of the function?

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The given function is P=11w+6z.

Since, P is profit here, consider w values greater than zero and z values also greater than zero.

Therefore, option C is the correct answer.

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Show how u solved it

Answers

Answer:

The surface area of the figure is 412 cm2.

Step-by-step explanation:

To determine the total surface area of a prism, the following formula must be applied: perimeter of the base x height + 2 x area of the base = total surface area. Thus, the calculations of the blue prism must be carried out and then add the sides of the red figure that do not coincide with it:

Blue figure:

(12 x 2 + 2 x 2) x 10 + 2 x (12 x 2) = X

(24 + 4) x 10 + 2 x 24 = X

28 x 10 + 48 = X

280 + 48 = X

328 = X

Red figure:

3 x 8 = 24 x 2 = 48

3 x 6 = 18 x 2 = 36

328 + 48 + 36 = X

376 + 36 = X

412 = X

Therefore, the surface area of the figure is 412 cm2.

Germany 3. Guam 24
Greenland -10
Which location is the warmest?

Answers

Guam would be the warmest given out of the 3 degrees you’ve given
24 > 3 > -10

Answer: Guam

Step-by-step explanation:

Guam's location is the warmest because its a higher number than Greenland and Germany

PLEASE help test due tonight !!!Use the two-way frequency table to answer questions #14-19

Answers

Answer:

14. 1/13

15. 14/15

16. 1/13

17. 15/30=1/2

18. 12/13

19. 12/15

If you are happy with my answers, please give brainliest <3

a group of students was asked about the number of emails they each sent that day the results are 0,0,1,2,3,4,5,6,6,7,8,8,8,9 i will post the other half now​

Answers

Answer:

D

Step-by-step explanation:

All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)

Answer:

D is the answer

Step-by-step explanation:

All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)

Nina uses 2/3 cup peanuts, 1/2 cup cashews, 3/4 cups pecans, and some raisins in a recipe that makes 2 1/4 cups of trail mix. How many cups of cashews are there per cup of trail mix?

Answers

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

1/2 ÷ 2 1/4

1/2 ÷ 9/4

1/2 x 4/9 = 4/18 = 2/9

Write the word sentence as an equation.

11 3/4 is the quotient of a number y and 6 1/4


An equation that represents this sentence is ?

Answers

The equation that represents the sentence is y ÷ 6₄¹ = 11₄³

What is quotient?

The word quotient is the outcome when dividend is divided by a divisor.

The result that comes from a division process is termed as quotient. While writing an equation quotient is placed on the right-hand side of the equal sign.

The number that is divided by other number is called dividend and this other number is called divisor.

Write the word sentence as an equation given in question?

11³₄ is the quotient of a number y and 6¹₄.

47/4 is the quotient of a number y and 25/4

hence, y is the dividend and 25/4 is the divisor

y ÷ 25/4 = 47/4

y × 4/25 = 47/4

y = 1175/16

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Find the inverse of the function.
y = x + 8
Write your answer in the form ax + b. Simplify any fractions.
y =

Answers

Answer:

X=y-8................

Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 6.

Answers

Answer:

A geometric sequence is a sequence of numbers such that the ratio of any two consecutive terms is always the same. This ratio is called the common ratio of the sequence.

In this case, the common ratio is 3/2 and the first term is 6. The nth term of a geometric sequence can be found using the formula:

a_n = a_1 * r^(n-1)

where a_n is the nth term, a_1 is the first term, and r is the common ratio.

Substituting the given values, we have:

a_8 = 6 * (3/2)^(8-1) = 6 * (3/2)^7

Calculating, we find that the 8th term is:

a_8 = 6 * (3/2)^7 = 6 * (9/2) = 27

Therefore, the 8th term is 27.

Step-by-step explanation:

50points!
True or False, (-1,5) is a solution for these systems of equations.
y = -x + 4
y = 0.2x

Answers

Answer:

am not sure but I think is true. I am hopeful

Answer:

False

Step-by-step explanation:

Substitute to verify:

5 = - (-1) + 45 = 5True for the first equation5 = 0.2(-1)5 = -0.2False for the second equation, so the answer is false

Angle sec0= -13/12 and cot<0. what are the exact values of tan0 and sin0.

Answers

Answer:

tan 0= -2.4

sin 0 = 0.42

Step-by-step explanation:

sec 0 = -13/12 => cos 0 = -12/13

cot 0 < 0 => tan 0 < 0

so, the angle is on second quadrant

=> tan 0 = -12/5 = -2.4

=> sin 0 = 5/12 = 0.42

Answer:

Solution given;

Sec θ=-[tex]\frac{13}{12}[/tex]

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]

cosθ=[tex]\frac{12}{13}[/tex]

[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]

b=12

h=13

By using Pythagoras law

p=[tex] \sqrt{13²-12²}=5 [/tex]

Now

exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]

since it lies in II quadrant

tan θ=-[tex]\frac{5}{12}[/tex]

and

sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]

since it lies in II quadrant

sin θ=[tex]\frac{5}{13}[/tex]

In a school, 60% of the girls and 70% of the boys own a bicycle. if a boy and a girl are selected at random from the school, find the probability that only one of them own a bicycle​

Answers

Answer:

23/50 or 0.46

Step-by-step explanation:

probability of girls owning a bicycle 60/100=3/5

probability of girls no owning one is 1-3/5=2/5

same method for boys 70/100=7/10

probability for not is 3/10

to find the probability that only one does you would do..

(3/5*3/10)+(2/5*7/10)

which equals 23/50 or 0.46

The figure below is a scale drawing of a garden if the scale used is 1/4 inch = 3 feet then what is the peremiter of the actual garden

Answers

Answer:

if the scale used 1/4 inch = 3 feet, then what is the perimeter of the actual garden? AI Recommended Answer: The perimeter of the actual garden is 144 feet.

Step-by-step explanation:

FIND C.
Give your answer in the simplest form

Answers

Answer:

3

Step-by-step explanation:

[tex] \sin(45) = \frac{a}{7 \sqrt{2} } [/tex]

[tex]a = 7[/tex]

[tex] \tan(30) = \frac{7}{c} [/tex]

[tex]c = 7 \sqrt{ 3} [/tex]

therefore 3 is required in the green box

a local park is shaped like a square with sides 6 meters long. A circular splash fountain is being placed in the middle of the park as shown in the image below. How much of the park will still be grass?

Answers

Answer: 624 Square meters

Step-by-step explanation:

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