The steps for deriving the Quadratic Formula are shown. Which is the BEST choice for the missing reason?
A) factor
B) simplifi
C) complete the square
D) take the square root of both sides​

The product of the expression (3x² - 2) (4x² + 5x) is 12x⁴ + 15x³ - 8x² - 10x.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given expression is (3x² - 2) (4x² + 5x).

This can be written as,

(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)

We have to use distributive property here.

a(b + c) = ab + ac for any three numbers or expressions, a, b and c.

(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)

                              = (12x⁴ + 15x³) - (8x² + 10x)

                              = 12x⁴ + 15x³ - 8x² - 10x

Hence the product is 12x⁴ + 15x³ - 8x² - 10x.

To learn more about Multiplication of Expressions, click :

https://brainly.com/question/29052794

#SPJ7

Complete question :

An ice cream stand uses the expression 2 + 0.5x2 to determine the cost (in dollars) of an ice cream cone that has x scoops of ice cream. How much does an ice cream cone with 5 scoops cost?

Answer:

$14.5

Step-by-step explanation:

Give the expression for the cost of ice cream cone with x scoops of ice cream :

Cost = 2 + 0.5x²

Cost of ice cream cone with 5 scoops of ice cream.

x = 5

Cost = 2 + 0.5(5²)

Cost = 2 + 0.5(25)

Cost = 2 + 12.5

Cost = 14.5

Hence, the cost of ice cream is $14.5

Answer:

Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches

Step-by-step explanation:

pls complete your question

Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches

The area of triangle is 29.081  inch²

Heron's formula was first given by Heron of Alexandria. It is used to find the area of different types of triangles like equilateral, isosceles, and scalene triangles or quadrilaterals. We can use heron's formula to find the area of triangles when the sides of the triangle are given. We use the semi-perimeter of the triangle and the side lengths to find the area of the triangle using heron's formula.

Area of triangle ABC = √s(s-a)(s-b)(s-c),

where s = Perimeter/2 = (a + b + c)/2

Given:

<B= 56, a= 10 inch, b= 6 inch

Now,

b²= 10² +7² -2* 7* 10* cos 56

b² = 100+ 49 -78.187

b²= 70.712

b= 8.41 inch

Now, semi- perimeter= (10+ 8.41+ 7)/2

                                    = 12.705

Using heron's formula

=√s(s-a)(s-b)(s-c)

=√12.705(12.705-10)(12.705-8.41)(12.705-7)

=√842.094

=29.018 inch²

Learn more about heron's formula here:

https://brainly.com/question/15188806

#SPJ2

Answer:

16

Step-by-step explanation:

Number of male dog in Kennel are 15 dogs

Given that;

Total number of dogs = 24 dogs

Ratio of male dog = 5/8

Find:

Number of male dog in Kennel

Computation:

According to the question;

Number of male dog in Kennel = Total number of dogs × Ratio of male dog

Number of male dog in Kennel = 24 × [5/8]

Number of male dog in Kennel = 3 × 5

Number of male dog in Kennel = 15 dogs

Learn more:

https://brainly.com/question/14150442?referrer=searchResults

Answer:

a) y=4

b) x=8

Step-by-step explanation:

we know the a line is on point 4 on the y axis. So it would be y=4

The second one is the same. line b is on the point 8 on the x axis, so x=8

Answer:

A (50)

Step-by-step explanation:

Mean is the total numbers added up divided by the # of numbers.

There are 6 numbers.

51 + 60 + 80 + 32 + 47 + 30 = 300

300/6 = 50

Therefore, the answer is A.

Answer:

A

Step-by-step explanation:

Because to find the mean you add up all the numbers.

51+60+80+32+47+30=300

Then your suppose to divide by the sum.

300/6=50

Answer:

11.4

Step-by-step explanation:

By Pythagoras Theorem:

[tex]x^{2} = {7}^{2} + ( {4}^{2} + {8^{2}}) \\ \\ x^{2} = 49+(16 + 64)\\ \\ x^{2} = 49+80\\ \\ x^{2} = 129 \\ \\ x = \sqrt{129} \\ \\ x = 11.3578167 \\ \\ x = 11.4[/tex]

Answer:

f(-1) = 3/2

Step-by-step explanation:

y = 3(2)^-1

2^-1 = 1/2^1

1/2^1 = 1/2

3 x 1/2 = 3/2

Answer:

6

Step-by-step explanation:

70/84 = 5/N

70N = 420

N = 420/70 = 6

Answer:

Hello I'm not to sure but I think A and B but I'm not sure

Step-by-step explanation:

Answer:

☘️9+5x+16

☘️ 25+5x or 5(5+X)

Answer:

x=2

y=3

z=0

not 100% sure on those answers

Answer:

It would be about 1.3 a piece.

Step-by-step explanation:

If there is 8 slices and six friends i think u would divide 8 by 6 which is 1.3 repeating which rounds up to 1.3

(Brainliest plz?)

Answer:

x = -21/2

Step-by-step explanation:

y= 2/7 x-1

or, 7y= 2x -7

or, 2x -7y =7

2x + 7y = -49

4x = -42

x= -21/2

y= 2/7 × -21/2 -1

= -4

Answer:

34.30

Step-by-step explanation:

$14.70 is 30% of $49 so

The total would be $34.30 after the discount

But the discount is %14.70

Answer:

139°

Step-by-step explanation:

They would both be 139

Answer:

Search for space diags

Step-by-step explanation:

you will find answer

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 480000 CM ^3

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Step-by-step explanation:

1.   perpendicular slope will be the negative of the reciprocal

2.  so this will be -3 ( since the reciprocal of 1/3 is 3 and its negative is -3

3.  So use the values given for x and y (3,-4)

4.   substitute in the given equation using the -3 for the slope instead of 1/3

5.  To find a new b we substitute  for x and y

5.  y = 1/3x + 10

6.  -4 =  -3 (3) + b

7.   -4= -9+ b

8. b = 5

Equation of the line will be y = -3x + 5

Answer:

42

Step-by-step explanation:

It's just saying that 1/2 * x = 70, and if we multiply both sides by 2, we get

x=140.

we check if that number is true by finding 80% of 140.

4/5 * 140 = 112. So that means 140 is the number we want

30% of 140 is 3/10 * 140, which is 420/10, which is 42

9514 1404 393

Answer:

Step-by-step explanation:

The "growth factor" is the number that has an exponent. Subtracting 1 from that gives the growth rate. The growth rate can be expressed as a percentage by multiplying it by 100%. If it is negative, it represents a rate of decay.

For example, the growth factor of 0.8 is a growth rate of 0.8-1 = -0.2 = -20%, a decay of 20%.

__

Here, we'll list the growth factor and the rate of change:

  growth factor ⇒ rate of change

  0.8 ⇒ 20% decay

  1.4 ⇒ 40% growth

  0.2 ⇒ 80% decay

  0.6 ⇒ 40% decay

  1.6 ⇒ 60% growth

Answer:

The answer to this question is A

Answer:A:42.192

Step-by-step explanation:

line them up by the decimals and place value

39.24

+2.952

add a zero onto 39.24 to line them up correctly

39.240

+2.952

then add to get an answer of

A:42.192

Answer:

135 m^3

Step-by-step explanation:

its volume is the area of the base by height;

.

the area of the base is 3 x 5 = 15.

its volume equals 15 x 9 =135 m^3

.

.

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

X = 8

Step-by-step explanation:

A triangle's degrees always add up to 180, this is a right triangle meaning that one of the degrees is 90, and we see the other one is 54, so we add these together and subtract them from 180 and set that equall to 3x+12.  

Answer:

[tex] {3}^{n + 2} + \: ({3}^{n + 3} - \: {3}^{n + 1} ) \\{ 3 }^{n + 2} + {3}^{n + 1} ({3}^{2} + 1) \\ {3}^{n + 2} + {3}^{n + 1} (9 + 1) \\ {3}^{n + 1} (3 + 10) \\ {3}^{n + 1} 30 \\ {3}^{n} \times 3 \times 30 = 90 \times {3}^{n}[/tex]

second one 13/313

Answer:

go0gle, just look it up

Step-by-step explanation:

Answer:

Try line 2. It lines up with the most points

Answer:

the answer would be A  16cm

Answer:

in just going to say 90

Step-by-step explanation:

tell me if i got it right or wrong no hate