For questions 1 - 6, solve each quadratic equation.
1. (x + 5)(x - 2) = 0
2. (3x - 1)(2x + 5) = 0
3. x^2-3x -4 = 0
4.2x^2 -5x - 3 = 0
5. x^2 - 16 = 0
6.9x^2 - 25 = 0

Answers

Answer 1

Answer:

1. -5

2. 1/3 (1 third)

3. -3

4. -1\2 (negative one and a half)

5.-4

6. 1.66666

Step-by-step explanation:

1.  Let's solve your equation step-by-step. ( x + 5 ) ( x − 2 ) = 0 Step 1: Simplify both sides of the equation. x 2 + 3 x − 10 = 0 Step 2: Factor left side of equation. ( x − 2 ) ( x + 5 ) = 0 Step 3: Set factors equal to 0. x − 2 = 0 or x + 5 = 0 x = 2 or x = − 5.        <—— this is for the first explanation

2. Step 1: Simplify both sides of the equation. 6 x 2 + 13 x − 5 = 0 Step 2: Factor left side of equation. ( 3 x − 1 ) ( 2 x + 5 ) = 0 Step 3: Set factors equal to 0. 3 x − 1 = 0 or 2 x + 5 = 0 x = 1 3 or x = − 5 2 Answer: x = 1 3 or x = − 5 2

<———— this is for the second explanation

3.Step 1: Factor left side of equation. ( x + 1 ) ( x − 4 ) = 0 Step 2: Set factors equal to 0. x + 1 = 0 or x − 4 = 0 x = − 1 or x      

<———- this is for the third explanation

4.Step 1: Factor left side of equation. ( 2 x + 1 ) ( x − 3 ) = 0 Step 2: Set factors equal to 0. 2 x + 1 = 0 or x − 3 = 0 x = − 1 2 or x = 3

<—————- this is for the fourth explanation

5. Step 1: Add 16 to both sides. x 2 − 16 + 16 = 0 + 16 x 2 = 16 Step 2: Take square root. x = ± 16 x = 4 or x = − 4

<—————- this is for the fith explanation

6. Step 1: Add 25 to both sides. 9 x 2 − 25 + 25 = 0 + 25 9 x 2 = 25 Step 2: Divide both sides by 9. 9 x 2 9 = 25 9 x 2 = 25 9 Step 3: Take square root. x = ± 25 9 x = 1.666667 , − 1.666667

<—————- this is for the sixth explanation

Hope this helps :)


Related Questions

Aaron throws a ball off the top of a building. The path of the ball can be modeled by
the equation y=-3x2 + 8x + 42 where y is the height of the ball and x is the time in
seconds since the throw.
A. How long will it take for the ball to hit the ground? Show all work to receive
credit
B. How tall is the building?

Answers

Answer: A: 60, since x = the amount of seconds and the 8 represents the seconds then you'll add 8x+42 and get 60

B: 54, now in this step find what -3x2 is which give you -6  since they're different signs then subtract and your answer will be 54

Step-by-step explanation:

Please Help! I need the answer.

Answers

Answer:

56

Step-by-step explanation:

How many solutions are there to the equation below?
6x + 30 + 4x = 10(x+3)
O A. 1
B. Infinitely many
O c. o

Answers

Answer:

B

Step-by-step explanation:

6x + 30 + 4x = 10(x+3)

10x + 30 = 10x + 30

0 = 0

What is the value of the expression? 2/3+1/6

Answers

2/3 would be converted to 4/6 by multiplying the numerator and denominator by 2.

then you can add 4/6 + 1/6 to get 5/6

can u help me with the problem below


(-4)- 6​

Answers

Since you are subtracting a negative you would add them together equaling -10

-10 when your subtracting negative number of them together

I need to know how to get the answer with an explanation WHOEVER HELPS ME GETS A BRAINIEST SO PLEASE HELP

Answers

this is the answer either way works hope this helps !

A chef turned on a faucet and filled a 2-gallon pot in 5 6 of a minute. What is the rate of water flow? Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer: Rate of water flow is 12/5 gallon per minute

Step-by-step explanation:

Given the following :

Volume of faucet pot = 2 gallon

Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.

Rate of water flow:

Volume of faucet pot / time taken

= 2 gallon ÷ (5/6) minute

= 2 gallon × (6/5) minutes

= (12 /5) gallon / minute

= 2 2/5 gallon / minute

Hence rate of water flow is 12/5 gallon per minute.

Answer:

2 2/5

Step-by-step explanation:

2 2/5

What type of number is pi?

Answers

Answer:

Pi is an irrational number

Step-by-step explanation:

Pi is an irrational number because it cannot be written down as a simple fraction.

Answer:

We know that pi is a number that never ends. Its decimals can be written out forever endlessly. Therefore, it must be an irrational number.

Step-by-step explanation:

First, let us go over the different types of numbers:

Natural Numbers - 1, 2, 3, ...

Whole Numbers - All natural numbers including 0

Integers - All whole numbers, both positive and negative

Rational Numbers - All numbers, both positive and negative that can be represented as a fraction. In other words, they have a terminating decimal point

Irrational Numbers - Numbers that cannot be written as a fraction. Numbers who have an infinite number of decimal points

Real Numbers - Includes everything else listed.

Four people P, Q, R and S have to sit on the four stools marked 1, 2, 3 and 4.


P goes and sits down on stool 4. Q does not want to sit on a stool that is immediately next to P's. Keeping this in mind, in how many different ways could Q, R and S arrange themselves on the remaining stools?


A) 6
B) 4
C) 3
D) 2

Answers

the answer is B I’m pretty sure

14. 9(y - 4) - 7y = 5(3y - 2
step by step please​

Answers

Answer:

y=-2

Step-by-step explanation:

9(y−4)−7y=5(3y−2)

(9)(y)+(9)(−4)+−7y=(5)(3y)+(5)(−2)

9y+−36+−7y=15y+−10

(9y+−7y)+(−36)=15y−10

2y+−36=15y−10

2y−36=15y−10

Step 2:

2y−36−15y=15y−10−15y

−13y−36=−10

Step 3:

−13y−36+36=−10+36

−13y=26

divide

/13     /13

y=-2

Answer:

y=-2

Step-by-step explanation:

Simplifying

9(y + -4) + -7y = 5(3y + -2)

Reorder the terms:

9(-4 + y) + -7y = 5(3y + -2)

(-4 * 9 + y * 9) + -7y = 5(3y + -2)

(-36 + 9y) + -7y = 5(3y + -2)

Combine like terms: 9y + -7y = 2y

-36 + 2y = 5(3y + -2)

Reorder the terms:

-36 + 2y = 5(-2 + 3y)

-36 + 2y = (-2 * 5 + 3y * 5)

-36 + 2y = (-10 + 15y)

Solving

-36 + 2y = -10 + 15y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-15y' to each side of the equation.

-36 + 2y + -15y = -10 + 15y + -15y

Combine like terms: 2y + -15y = -13y

-36 + -13y = -10 + 15y + -15y

Combine like terms: 15y + -15y = 0

-36 + -13y = -10 + 0

-36 + -13y = -10

Add '36' to each side of the equation.

-36 + 36 + -13y = -10 + 36

Combine like terms: -36 + 36 = 0

0 + -13y = -10 + 36

-13y = -10 + 36

Combine like terms: -10 + 36 = 26

-13y = 26

Divide each side by '-13'.

y = -2

Simplifying

y = -2

Find the coordinates of the midpoint of segment H X given that H(–1,3) and X(7,–1). A. (3, 1) B. (0, 4) C. (–3, 1) D. (–4, 0)

Answers

Answer:

A [tex]MP= (3,1)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})[/tex]

[tex]MP= (\frac{-1+7}{2})(\frac{3+-1}{2})[/tex] -1+7=6 3+-1=2

[tex]MP= (\frac{6}{2})(\frac{2}{2})[/tex] 6/2=3 2/2=1

[tex]MP= (3,1)[/tex]

6
Simplify the following expression.
(9x2 - 3x + 7) + (-3x2 + 2)

A. 6x2 + 9
B. 12x2 - 3x + 5
C. 6x2 - 3x + 9
D. 6x2 + 3x + 9

Answers

The above expression is not in its simplest form, and we need to simplify it, that is what asked in the question.

Given equation,

[tex](9 {x}^{2} - 3x + 7) + ( - 3 {x}^{2} + 2)[/tex]

First of all, let's open the parentheses to combine the like terms for simplifying.

[tex]9 {x}^{2} - 3x + 7 - 3 {x}^{2} + 2[/tex]

Arranging the like terms, x² with x², x with x and constant terms near to each other.

[tex]9 {x}^{2} - 3 {x}^{2} - 3x + 7 + 2[/tex]

Simplying further,

[tex](9 - 3) {x}^{2} - 3x + 9[/tex]

[tex]6 {x}^{2} - 3x + 9[/tex]

So, the correct option is C

━━━━━━━━━━━━━━━━━━━━

Tristan wants to build a square garden in his backyard. If the garden is going to be 64 ft squared,
how many feet of material will he need for the perimeter of the garden? *

Answers

Answer:

32

Step-by-step explanation:

8*8=64

8+8+8+8=32

(because there are 4 sides)

Answer:

32

Step-by-step explanation:

Need your help please. Please help me.

Answers

Answer:

0.08

Step-by-step explanation:

(4/5)/10 =

= 4/5 : 10/1

= 4/5 × 1/10

= ²⁾4/50

= 8/100

= 0.08

Hanson has 38 pieces of candy. He gives away c of the pieces. Write an expression that
shows the number of pieces of candy Hanson has left.

Answers

Answer:

38-c

Step-by-step explanation:

We know that the answer is 38-c because any piece of candy that Hanson gives away will be subtracted from the amount that he started out with.

(−2/3)x(1/6) please answer

Answers

Answer:

The answer would be -1/9. The decimal form would be -0. 111111. Hope this helped, and if it did, please like the answer and rate it. ty! :)

Answer:

-  1    

    9

Step-by-step explanation:

-     2      

  3  *   6  

- 2    

  18

= -  1    

      9

Tom worked 48 hours last week and gets time-and-a-half pay for overtime. His regular pay is $32 per hour. a) How much does he make for an hour of overtime?

Answers

Answer:

$48

Step-by-step explanation:

From the question we know that;

His regular pay is $32 per hour.

Tom worked 48 hours last week and gets time-and-a-half pay for overtime.

Time and a half pay = 1.5

Hence, if Tom works for an hour of overtime, his pay for his overtime is calculated as:

= 1.5 × $32 × 1

= $48

Therefore, he was paid $48 for one hour of overtime.

1/100000 as a power of 10

Answers

Answer:

10⁻⁵

Step-by-step explanation:

1 / 100000

1 / 10⁵

10⁻⁵

After solving the given fraction, the value of power of 10 will be equal to 10⁻⁵.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information in the question,

The given fraction is,

1/10000

The value, 100000 is in the  denumerator so, the power should be in negative.

So, it can be written as,

1 × 10⁻⁵.

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ2


A scale drawing of a rectangular garden has sides that measure 12 inches by 18 inches. The scale of the drawing is 1 inch =
is the area of the actual garden

Answers

Answer:

area is 216

Step-by-step explanation:

Help please idk how to do this

Answers

I hope this helped and have a great day.

You need to times 2/3 twice

-2/-3 * -2/3

Rewrite the equation by completing the square.
f(x) = x^2 - 2x + 17
f(x) = (x + |?|)^2 + |?|

Answers

Answer:

f(X)= (x-1)²+16

Hope this helps

What is the answer please show work 7x + 4 = 5x + 10

Answers

Answer:

x=3

Step-by-step explanation:

subtract 5x from 7x

subtract 4 from 10

divide 2x and 6 by 2

Answer:

x=3

Step-by-step explanation:

7x +4 =5x +10

7x - 5x =10 - 4

2x =6

x=6 :2

x=3

7 ×3 +4 =5 ×3 +10

21 +4 =15 +10

25 =25

what is the solution to 1/5y+1/8=3/20​

Answers

Answer:

y=1/8

Step-by-step explanation:

What are each step in the process for solving an equation

Answers

Answer:

1. Simplify each side of the equation by removing parentheses and combining like terms.

2. Use addition or subtraction to isolate the variable term on one side of the equation.

3. Use multiplication or division to solve for the variable.

Point V lies between points U and W on line UW. The distance between U and V is 2x-4, and the distance between V and W is 4x+10. If UW = 9x – 9, what is UW in units?

Answers

Answer:

36UNITS

Step-by-step explanation:

If point V lies between U and W, then UV+VW = UW

given parameters

UV = 2x-4

VW = 4x+10

UW = 9x-9

Substituting the given functions in the formula first, we will have;

2x-4+4x+10 = 9x-9

6x+6 = 9x-9

Collect like terms

6x-9x = -9-6

-3x = -15

x = -15/-3

x = 5

Substitute x = 5 into UW.

Since UW = 9x-9

UW = 9(5)-9

UW = 45-9

UW = 36

3(8⋅7−45)+5(6⋅4−1) Just checking to see if it is right

Answers

Answer: 148

Step-by-step explanation:

Answer:

3(8⋅7−45)+5(6⋅4−1) = 148

A student walked for 30 minutes at an average speed of 18 meter/min. What is the student’s distance traveled?
-:---:--

0.17 meters

9 meters

54 meters

540 meters

Answers

the answer is 540 meters

Graph t> -2 on a number line

Answers

Answer:

Step-by-step explanation:

What is the next term of the geometric sequence?
2, 10, 50,

Answers

Answer:

5

Step-by-step explanation:

2*5=10

10*5=50

Answer:

250

Step-by-step explanation:

as it raises it it multiplying by 5

What is the slope the line that passes through the points:
(-6, 14), (2, -18)
O-
4
О O
1
4
4.
-4

Answers

Given Points:

(-6, 14) and (2, -18)

To Find:

The slope of the line that passes through the point.

Slope Formula:

y2 - y1 / x2 - x1

Solution:

-18 - 14 / 2 + 6

= -32 / 8

= -4

Answer:

Option D. -4

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