Which of the following would be the most logical first step to solving this
quadratic equation?
x2 - 5x + 6 = 0
A. Add -6 to both sides.
B. Take the square root of both sides.
C. Use the zero product rule to set up smaller equations.
D. Factor the left side.

Answer:

10 people can go to the amusement park

Step-by-step explanation:

363 - 5.50 = 357.5

357.5 / 35.75 = 10

Answer:

x=5

Step-by-step explanation:

7x - 4y = 23 and x + y = 8

Multiply the second equation by 4

4x + 4y = 32

Add this to the first equation

7x - 4y = 23

4x + 4y = 32

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

11x    = 55

Divide each side by 11

11x/11 = 55/11

x = 5

Answer:

[tex]\huge\boxed{x=5}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}7x-4y=23\\x+y=8&|\text{subtract}\ x\ \text{from both sides}\end{array}\right\\\left\{\begin{array}{ccc}7x-4y=23&(1)\\y=8-x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\7x-4(8-x)=23\qquad|\text{use the distributive property}\\\\7x+(-4)(8)+(-4)(-x)=23\\\\7x-32+4x=23\qquad|\text{combine like terms}\\\\(7x+4x)-32=23\qquad|\text{add 32 to both sides}\\\\11x-32+32=23+32\\\\11x=55\qquad|\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{55}{11}\\\\x=5[/tex]

Answer:

Step-by-step explanation:

Domain of a function is defined by the set of x-values (input values) and Range is the set of y-values (output values) of the function.

1). The range and domain of P = {(x, y)| y = 3}

Domain: Set of all real numbers

Range: {y: y=3}

2). The domain set of C = {(2, 5), (2, 6), (2, 7)}

 Domain: {2}

3). The range set of E = {(3, 3), (4, 4), (5, 5), (6, 6)}

  Range: {3, 4, 5, 6}

4). The range and domain set of F = {(x, y)| x + y = 10}

   Domain = Range = {All real numbers}

Answer:

i dont under stand but i will just ask for help to my father

Step-by-step explanation:

i dont wnow the answer!???

Answer:

Step-by-step explanation:

[tex]Florence \ washed \ 3\ cars \ and\ earned\ = \$ x\\\\[/tex]

[tex]Cost\ of \ washing \ one \ car = \frac{x}{3}[/tex]

[tex]Anona \ washed \ 5 \ cars \ and \ earned \ 16 \ more \ than \ Florence = x + 16[/tex]

[tex]Cost\ of \ washing \ one \ car \ by \ Anona = \frac{x +16}{5}[/tex]

 [tex]\frac{x}{3} = \frac{x + 16}{5}\\[/tex]                    [tex][ \ cross \ multiply \ ][/tex]

[tex]5 \times x = 3 \times( x + 16)\\\\5x = 3x + 48\\\\5x - 3x = 48\\\\2x = 48\\\\x = 24[/tex]

[tex]Cost \ of \ washing \ one \car = \frac{x}{3} = \frac{24}{3} = \$ 8[/tex]

Therefore ,

                 Florence earned $24

                 Anona earned 24 + 16 = $40  

                 Caragh Washed 4 cars, so Caragh earned = 8 x 4 = $32

Answer:

(x, y) = (10, 290)

Step-by-step explanation:

From the table

Total fees = fixed + variable

Fixed:

When number of times Ahmed mowed, x = 0

y = 40

When x = 2, y = 65

Rate of change = y2 - y1

= 65 - 40

= 25

y = 40 + 25x

Where,

y = total fees charged

40 = fixed fee

25x = variable fee

Total amount Ahmed will make for mowing 10 times

when x = 10

y = 40 + 25x

y = 40 + 25(10)

= 40 + 250

= 290

y = 290

(x, y) = (10, 290)

Answer:

p=1

Step-by-step explanation:

2/5 + p = 4/5 + 3/5p

Multiply each side by 5 to clear the fractions

5(2/5 + p) = 5(4/5 + 3/5p)

2 +5p = 4 + 3p

Subtract 3p from each side

2+5p-3p = 4+3p-3p

2+2p = 4

Subtract 2 from each side

2+2p -2 = 4-2

2p =2

Divide by 2

2p/2 = 2/2

p=1

[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]

Answer:

c

Step-by-step explanation:

i hope it helped ᘳ◕ᴥ◕ᘰ

Answer:

y=2

Step-by-step explanation:

3 = (y+7)/3

Multiply each side by 3

3*3 = (y+7)/3 *3

3*3 = y+7

9 = y+7

Subtract 7 from each side

9-7 = y+7-7

2 =y

Answer:

2 = y

Step-by-step explanation:

3 = y + 7 ÷ 3

multiply both side of equation by 3

3 × 3 = y + 7 ÷ 3 / 3

9 = y + 7

subtract 7 from both side

9 - 7 = y + 7 - 7

2 = y

Answer:

8:6

Step-by-step explanation:

If 8 out of 14 students are boys then the remaining number of students must be girls

So

14-8= 6

There are 6 girls out of the 14

So as a ratio of boys to girls

8:6

Answer:

8 : 6 <or> 4 : 3

Step-by-step explanation:

8 : 6 <or> 4 : 3

Since there are 8 boys out of 14, if you minus them , the answer will be the number of girls out of 14.

Answer:

c

Step-by-step explanation:

m=28g

m=28(20)

m=560

Answer:

1) 1 and 4

2) 1 and 2

3) 1 and 5

4) 2 and 3

5) 130°

6) 90°

7)25°

8) 115°

Answer:

hypotenuse = 7.3

Step-by-step explanation:

here 7 and 2 are the legs og the right triangle .we should find hypotenuse.

let the legs of the right triangle be a nd b respectively . And c be hypotenuse

using pythagoras theorem to find hypotenuse

a^2 + b^2 = c^2

7^2 + 2^2 = c^2

49 + 4 = c^2

53 = c^2

[tex]\sqrt{53}[/tex] = c

7.28 = c

7.3 =c

Answer:

7.3

Step-by-step explanation:

[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]

Answer:

-5, -3

Step-by-step explanation:

Answer:

Angle B is congruent to Angle E.

Step-by-step explanation:

Also, if youve read Romeo and Juliet, please help me! My essay is due tomorrow. I just need informal help, no specific lines or anything

In the diagram below, ΔABC ≅ ΔDEF. Therefore, by CPCT, ∠B = ∠E.

Corresponding parts of congruent triangles or CPCT is used to denote the relation between the sides and the angles of two congruent triangles.

Since, ΔABC ≅ ΔDEF,

AB = DE

BC = EF

AC = DF

∠A = ∠D

∠B = ∠E

∠C = ∠F

Learn more about CPCT here

https://brainly.com/question/21360865

#SPJ2

Answer:

16-31     20, 18,25,28,31,23,19,27,22,25,20     11

32-47      33,42,36,41,47     5

48-65     65,52,61,50     4

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x=16

y=4

4=16-12

4=4

Answer:

D

Step-by-step explanation:

answer is

B. 6√2

hope this helps!

Answer:

Step-by-step explanation:

Corresponding sides have same ratio:

Find AB:

Find AD:

Now the ratio:

Correct choice is F

Answer:

c) 72

hope this helps!

please give brainiest<3

Answer:

72

Step-by-step explanation:

Substitution:

4^3 + 4 x 6 - 16

64+24-16=72

Answer:

72 mins

Step-by-step explanation:

12 mins = 4 tortillas

1 tortilla = 3 mins

3x24=72

72 mins

Answer:

72 minutes

1 hour and 12 minutes

Step-by-step explanation:

[tex]\frac{4}{12}: \frac{24}{y}[/tex]

4 × y = 12 × 24

4y = 288

4y ÷ 4 = 288 ÷ 4

y = 72

Answer:

15 players on each team

Step-by-step explanation:

- 2 players from EACH team is subtracted= 2(players)x6(teams) = 12 players in total off the field

- now there are only 78 players on the field

(78+12)/6= 15

-Adding the amount of players on the feild and the players that were sent for equitment is 90. Then dividing 90 by the amount of teams there are, 6

Answer:

14

Step-by-step explanation:

Triangle=180

180-90 (RA) = 90

90-41= 39

(2x+11)=39

2x=28

x=14

Answer:

(y+8)(y+2)

Step-by-step explanation:

y^2 + 10y + 16

What two numbers multiply to 16 and add to 10

8*2 = 16

8+2 =10

(y+8)(y+2)

Answer:

119.4

Step-by-step explanation:

The Area of the Rectangle : 132 cm

Area of the Circle : 12.6 cm

Shade=  MINUS - 132 cm  - 12.5 cm = 119.4!

Happy To Help! :)

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

Work Shown:

A = probability of landing on an odd number

A = 5/9 because there are 5 odd numbers out of 9 total

B = probability of getting heads

B = 1/2

C = landing on 3 on the spinner

C = 1/9

Multiply the values of A,B,C

A*B*C = (5/9)*(1/2)*(1/9) = (5*1*1)/(9*2*9) = 5/162

Note: The fraction 5/162 converts to the approximate decimal 0.03086 which then converts to 3.086%, when rounding to the nearest tenth of a percent we get 3.1%

Answer:

if this was a equation you would first subtract 12 from the other number then divide it by 3

Answer:

3(x+4)

Step-by-step explanation:

Check 3(x+4), when you use the distributive property, you get 3x + 12, so this is correct. (sorry, I'm really bad at explaining...)

Answer:

c = 60°

Step-by-step explanation:

Since the measures are among a 90° angle, we need to subtract 30° from 90° which equals 60°

c = 60°

Hope this help!!!

Have a nice day!!!!

Answer:

3h³k² + 18h³k + 27h³

Step-by-step explanation:

Given

3h³(k + 3)² ← expand factor using FOIL

= 3h³(k² + 6k + 9) ← distribute parenthesis

= 3h³k² + 18h³k + 27h³