8. Multiple Choice: Which equation is the factored form of x2 + 2x - 3 = 0?

a) (x - 1)(x + 3) = 0

b) (x - 1)(x - 3) = 0

c) (x - 3)(x + 1) = 0

d) (x+3)(x + 2) = 0​

Answers

Answer 1

Answer:

X= 1

Y= -3

Factor and set each factor equal to 0

   


Related Questions

I neeed help on thesse last two my test ends in 3 min help

Answers

Answer:

cjones8806

Virtuoso

38 answers

183 people helped  

i need points sorry I cant help

Step-by-step explanation:

green box?

(srry if it isn't correct, but that's what I got!!)

rlly sorry

g Around 20 years ago, the CDC learned of an outbreak of gastrointestinal illness in several Georgia elementary schools. The CDC began their investigation by examining a random sample of 452 children. Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria. On the other hand, only 20 of the remaining 148 who did not eat burritos became ill. (a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.

Answers

Answer:

The point estimate is 0.342.

Step-by-step explanation:

Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria.

This means that:

[tex]p_B = \frac{145}{304} = 0.477[/tex]

On the other hand, only 20 of the remaining 148 who did not eat burritos became ill.

This means that:

[tex]p_{NB} = \frac{20}{148} = 0.135[/tex]

a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.

The point estimate is the subtraction of the sample proportions. So

[tex]p = p_N - p_{NB} = 0.477 - 0.135 = 0.342[/tex]

The point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness is 0.342.

Please HELP ASAP IN NEED IT I WILL GIVE YOU POINTS

Answers

Answer: c six less than twice is the same as two times a number minus six

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

"Twice a number" means a variable/mystery number times 2; aka 2x.

"Six less than" means minus/subtract six.

So, therefore it's 2x - 6.

Which method can you use to prove that the triangles are congruent?

Answers

Answer:

The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.

What is the surface area of the triangular prism? 1 5ft 3 ft 5 ft 4 ft​

Answers

Answer:

134

Step-by-step explanation:

Choose the correct order when finding the space between the cylinder and cone. I find the difference of the volumes Il find the volume of the cone III. find the volume of the cylinder​

Answers

Answer:

D. III, II, then I

Step-by-step explanation:

To find the space between the cylinder and the cone, the first thing to do is: find the volume of the cylinder => next is to find the volume of the cone => then look for the difference in volume between the cylinder and the cone which will give us the space between the cylinder and the cone.

The correct order would be:

III, II, then I

What is the equation of the quadratic function represented by this table ??HELP PLEASE GRADUATION IS JUNE FIRST

Answers

9514 1404 393

Answer:

  -3, 7, 8

Step-by-step explanation:

You can fill in the boxes from the table values as shown in the attachment.

The leading coefficient is negative because the parabola opens downward. The value of it is the change in y-value as x changes by 1 unit either side of the vertex.

The vertex is identified by the fact that the y-values are symmetrical either side of the vertex.

Answer:

-3, 7, 8

Step-by-step explanation:

Which of the below is the correct name for a plane that contains points A, B, C, and D?
plane CDE
plane CD
⭐️plane ACD
plane A

Answers

Answer:

 

Step-by-step explanation:

What is the surface area of the figure below?

Answers

12 ft

Step-by-step explanation:

6 ft+3 ft+3 ft=12 ft

The answer is 54. 6x3x3=54

14x^2=8y^2-6xy where x>0 and y>0 find the ratio x:y​

Answers

Answer:

4 : 7

Step-by-step explanation:

First, you can start by moving all the terms to one side:

14x^2 + 6xy - 8y^2 = 0

Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:

2(7x^2 + 3xy - 4y^2) = 0

In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:

2(7x^2 + 7xy - 4xy - 4y^2) = 0

Now, we can start to factor by grouping:

2( 7x[x + y] - 4y[x + y] ) = 0

And we can factor out [x + y]:

2(x + y)(7x - 4y) = 0

So, we can use the zero product property to get two equations:

x + y = 0

and

7x - 4y = 0

You get:

x =  -y

and

7x = 4y

We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7

5. A cabin rental costs $100 deposit plus $75 per day. Find the cost of renting a cabin for the
month of June.

Answers

Answer:

the answer to this question is $2,350

Step-by-step explanation:

june has 30 days so $75 × 30 + $100 = $2,350


Three pounds of bananas cost $1.47 and 2 pounds of grapes cost $1.18. Which fruit is less expensive per pound? Explain how you know

Answers

Answer:

Grapes are less expensive

Step-by-step explanation:

First, find how much money 1 pound of each fruit is:

Bananas: $1.47 / 3 = $0.49

Grapes: $1.18 / 2 = $0.59

Compare:

0.49 < 0.59

So grapes are less expensive

i need help with this math

Answers

Answer:

Perimeter = 56

Area = 196

Step-by-step explanation:

We use the Pythagorean theorem to calculate the half-length of the sides (a):

a² + a² = (7√2)²2a² = 7² * 22a² = 98a = 7

Half of a side is 7, meaning that the full length is 14.

With that in mind we can calculate the perimeter and area:

Perimeter = 14 * 4 = 56Area = 14² = 196

if a graph shows no solution what is the inequality

Answers

If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds. If the number on the other side of the inequality sign is positive, proceed to step 3.

which value form the set {0, 1,17, 72 make the equation n+8=9 true

Answers

Answer:

n + 8 = 9

therefore 9-8 = 1


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

suck goes



sss toes


asks me xncnc

Ill do anthing please help!!

Answers

Answer: 2π ft^2

Step-by-step explanation:

Area of a circle= π x the radius ^2

here your diameter is 4, and the radius is equivalent to half of the diameter so your radius equals 2.

A= π x 2^2

your answer will be the first one

C u m s t e r g o i n t r e b a r e de pe b r a i n l y?

Answers

Yes, 12345678910112121414127272771819292

Answer:rf JAMES CHARLE's?!?

Step-by-step explanation:

A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
__ -__x-__y-__xy

Answers

Answer:

[tex]P = 8 - 42x + 56y + 12xy[/tex]

Step-by-step explanation:

Given

[tex]Length = 4 - 7(3x + 4y)[/tex]

[tex]Width = 3x(2y)[/tex]

Required

The perimeter (P)

This is calculated as:

[tex]P = 2 * (Length + Width)[/tex]

[tex]P = 2 * (4 - 7(3x + 4y) + 3x(2y))[/tex]

Open bracket

[tex]P = 2 * (4 - 21x + 28y + 6xy)[/tex]

Open bracket

[tex]P = 8 - 42x + 56y + 12xy[/tex]

Enter an integer to represent the situation.


an elevator ride down 35 stories

Answers

Answer:

-35

Step-by-step explanation:

this is a simple but confusing question

however,

since they said down the elevator, and the negative integers reduces, therefore we have our answer as

-35

Please help me I've been on this question for like and hour-

Answers

Answer:im so sorry i dont know this one

Step-by-step explanation:but i would try adding subtracting or divison

Answer:

21

Step-by-step explanation:

We can use a proportion to solve this problem

8 : 33.6 = 5 : OP

OP = (33.6 x 5)/8 = 21

Please help me with this Math question.
Each win is worth 3 points.
Each draw is worth 1 point.
Each lose is worth 0 points.
Is 33 correct answer?

Answers

Answer:

33 is definitely the correct answer

A pharmaceutical sale representative gets paid $50,000 annually plus 3.5% commissions on total sales. This year he sold $420,000 in pharmaceuticals. What are his annual total earnings? someone help pls

Answers

Answer:

[tex] \frac{3.5}{100} \times 420000 = 14700commission \\ total \: earnings = 50000 + 14700 \\ = 64700[/tex]

any help please .. using the last of my points for this :/

Answers

1. Exponential would be the best option to model the data because of the large increase. It would be more difficult to model it linear because the linear values would jump from 10 to 34 to 91 etc. there is a no correlation between them.
2. We can tell which function is the best based on the y values and x values. Especially with key words like double or triple we know that’s it going to be exponential. Linear would be like if we were presenting a graph for tickets and prices which is a straight line with increasing x and y values and the rate of change is constant.
Exponential usually have a consistent multiplier so it won’t be the same but there will be a pattern.
3. 4 data points would be 1,2,3,4 for x values and for y (2,4,6,8). I set up the data to be constant the x values are adding by 1 and the y values are added by 2. If we were graphing this it would obviously be a straight line.

Choose the Inequality that matches the graph below.

Answers

Answer:

The answer would be A

Step-by-step explanation:

Because the circle is an open circle, also its point towards the positive so that means A is the correct answer

A cylindrical tank has a base of diameter 12 ft and height 5 ft. The tank is full of water (of density 62.4 lb/ft3).(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.(b) Write down an integral for the fluid force on the side of the tank.(c) How would your answer to part (a) change if the tank was on its side

Answers

Answer:

a.  71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

b.  23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

c. 99840π lb/ft-s²∫₀⁶rdr

Step-by-step explanation:

.(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.

The work done, W = ∫mgdy where m = mass of cylindrical tank = ρA([5 + 4] - y) where ρ = density of water = 62.4 lb/ft³, A = area of base of tank = πd²/4 where d = diameter of tank = 12 ft.( we add height of the tank + the height of point above the tank and subtract it from the vertical point above the base of the tank, y to get 5 + 4 - y) and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdy

W = ∫ρA([5 + 4] - y)gdy

W = ∫ρA(9 - y)gdy

W = ρgA∫(9 - y)dy

W = ρgπd²/4∫(9 - y)dy

we integrate W from  y from 0 to 5 which is the height of the tank

W = ρgπd²/4∫₀⁵(9 - y)dy

substituting the values of the other variables into the equation, we have

W = 62.4 lb/ft³π(12 ft)² (32 ft/s²)/4∫₀⁵(9 - y)dy

W = 71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

.(b) Write down an integral for the fluid force on the side of the tank

Since force, F = ∫PdA where P = pressure = ρgh where h = (5 - y) since we are moving from h = 0 to h = 5. So, P = ρg(5 - y)

The differential area on the side of the tank is given by

dA = 2πrdy

So.  F = ∫PdA

F = ∫ρg(5 - y)2πrdy

Since we are integrating from y = 0 to y = 5, we have our integral as

F = ∫ρg2πr(5 - y)dy

F = ∫ρgπd(5 - y)dy    since d = 2r

substituting the values of the other variables into the equation, we have

F = ∫₀⁵62.4 lb/ft³π(12 ft) × 32 ft/s²(5 - y)dy

F = 23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

.(c) How would your answer to part (a) change if the tank was on its side

The work done, W = ∫mgdr where m = mass of cylindrical tank = ρAh where ρ = density of water = 62.4 lb/ft³, A = curved surface area of cylindrical tank = 2πrh  where r = radius of tank, d = diameter of tank = 12 ft. and h =  height of the tank = 5 ft and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdr

W = ∫ρAhgdr

W = ∫ρ(2πrh)hgdr

W = ∫2ρπrh²gdr

W = 2ρπh²g∫rdr

we integrate from r = 0 to r = d/2 where d = diameter of cylindrical tank = 12 ft/2 = 6 ft

So,

W = 2ρπh²g∫₀⁶rdr

substituting the values of the other variables into the equation, we have

W = 2 × 62.4 lb/ft³π(5 ft)² × 32 ft/s²∫₀⁶rdr

W = 99840π lb/ft-s²∫₀⁶rdr

3(x+3) [tex]\geq[/tex] 4(x-4)

Answers

Answer:

12x2-12x-144 thats the answer

Step-by-step explanation:

PLS HELP ASAPPPP ASPAP PZLZLZ

Answers

Answer:

c???

Step-by-step explanation:

What is the sum of the first ten terms in a geometric series
with a1=
6 and r = 2?

Answers

Answer:

[tex]S_{10} = 682[/tex]

Step-by-step explanation:

Given

[tex]a_1 = 6; r = 2[/tex]

Required

[tex]S_{10[/tex]

This is calculated as:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

So, we have:

[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]

[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]

[tex]S_{10} = \frac{6 * 1023}{9}[/tex]

[tex]S_{10} = 682[/tex]

HELP QUICK PLZ! NO SPAM.

XYZ has vertices X(15,−8), Y(13, 21), and Z(−17, 17). Which of the following represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis?

Answers

Answer:

X (15, −8) → X ′(9, −3) → X ″(9, 3);

Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);

Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)

Step-by-step explanation:

Use the translation vector <−6, 5>  to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).

Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .

X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).

Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).

Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).

To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).

Apply the reflection rule to the vertices of △X'Y'Z'.

X' (9, −3) → X'' (9, 3).

Y' (7, 26)→Y''(7, −26).

Z' (−23, 22) → Z'' (−23, −22).

Therefore,

X (15 ,−8) → X' (9, −3) → X'' (9, 3)

Y (13, 21) → Y' (7, 26) → Y'' (7, −26)

Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)

represents the translation of △XYZ along vector <−6, 5>  and its reflection across the x-axis.

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