how do I get the answer for this quadratic equation in simplest form?
[tex]4( x - 7)^2 - 48 = 12[/tex]
​

Answer:

The answer is c because 20(20) + 60 = 460 and if you plug in the number of rows for x and add the 60 you would always get the number of seats value.

The correct equation for the number of seats with respect to the number of rows will be;

s = 20r + 60

Where, s is number of seats and r is number of rows.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the power one.

Given that;

The chart shows the number of rows in an auditorium and the total number of seats.

Since, The equation is satisfy the given numbers in chart.

So, Let an equation for chart;

s = 20r + 60

Where, s is number of seats and r is number of rows.

Now, Substitute the value of r = 20 for the number of first rows in above equation we get;

s = 20 × 20 + 60

s = 400 + 60

s = 460

And, For second row, r = 45

s = 20 × 45 + 60

s = 900 + 60

s = 960

Thus, The correct equation for the number of seats with respect to the number of rows will be;

s = 20r + 60

Where, s is number of seats and r is number of rows.

Learn more about the linear expression visit:

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Answer:

m∠A =

A. 66°

Step-by-step explanation:

∠C = ∠B

57 + 57 = 114

∠A = 180 - 114 = 66

Answer:

The point where f(x), g(x), and h(x) have the same value is (8, 11)

Step-by-step explanation:

The points where g(x) and h(x) have the same value is given as follows;

2x - 5 = 8/x + 10

2x² - 15x - 8 = 0

Using an online tool, we have;

(x - 8)(2x + 1) = 0

x = 8 or x = -1/2

∴ g(x) and h(x) = 11 or y = -6

For x = 8, we have;

f(x) = 2^(x - 5) + 3 = 2^(8 - 5) + 3 = 2^3 + 3 = 11

For x = -1/2, we have;

f(x) = 2^(-1/2 - 5) + 3 = 3.022

Therefore, the point where f(x), g(x), and h(x) have the same value is (8, 11), therefore, for x = 8, f(x) = g(x) = h(x) = 11.

Answer:

The answer for your question is 15

Answer:

The Least common multiple of 5 and 3 is 15

Answer:

55 degrees

Step-by-step explanation:

one triangle has 180 degrees

deg=35 degrees so subtract 35 from 180=145 dgrees.

the square at the bottom center means a 90 degree angle, so subtract 90 from 145=55

Answer:

a is a linear equation

Step-by-step explanation:

Answer:

£395

Step-by-step explanation:

call out fee = 35

30 per hour = 2 hour to be = 60

but, 12 minutes in hour = 12/60 = 0.2

0.2 = 0.2*30 = 6

2 hours and 12 minutes would be charges as

30 + 6 = 36

36*10 = 360

call out fee + per hour = 35 + 360 = 395

Answer:

y > 1

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define inequality

3(y - 2) + 4(3 - 2y) < 6(3y - 1) - 11y

Step 2: Solve for y

Here we see that any number y greater than 1 would work as a solution.

Answer:

15 mm per case is the answer. The full answer is 195 mm.

Step-by-step explanation:

hope this helps:)

Answer:

y = - [tex]\frac{9}{5}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{9}{5}[/tex] and c = - 4 , thus

y = - [tex]\frac{9}{5}[/tex] x - 4 ← equation of line

Answer:

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

Step-by-step explanation:

Standard form of equation is given as:

[tex]Ax+By = C[/tex]

1. x – intercept is 4 and y – intercept is 3.

The points will be:

(4,0) and (0,3)

Slope: m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{3-0}{0-4}\\m = -\frac{3}{4}[/tex]

Slope intercept form of line is:

[tex]y = mx+b[/tex]

Putting the values of m and b(y-intercept)

[tex]y = -\frac{3}{4}x+3[/tex]

Multiplying whole equation by 4

[tex]4y = -3x+12\\3x+4y = 12[/tex]

2. x – intercept is -2 and y – intercept is 5

The points will be:

(-2,0) and (0,5)

Now

[tex]m = \frac{5-0}{0+2}\\m = \frac{5}{2}[/tex]

Putting the values of m and b in slope intercept form

[tex]y = \frac{5}{2}x+5[/tex]

Multiplying the equation by 2

[tex]2y = 5x+10[/tex]

[tex]-5x+2y=10[/tex]

Hence,

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

Answer:

(-4+3, -3) = (-1,-3)

Step-by-step explanation:

Answer:

Sup

Step-by-step explanation:

Answer: the slope is one

Step-by-step explanation:

Sorry for the late answer but you better reply ;w;

To my recent question

Please..? I was busy tbh

Answer:

y = 6x + 22

General Formulas and Concepts:

Pre-Alg

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Point (-3, 14)

Point (-1, 16)

Step 2: Find slope m

Step 3: Find y-intercept b

Step 4: Write linear equation

y = 6x + 22

Answer:

Step-by-step explanation:

1 .

2.

Combined answer

The number is -56. To find your answer, multiply -7 and 8, which leaves us with -56. From there, check the work by dividing -56 by -7, resulting in 8. Hope this helps! Have an amazing rest of your day and please mark brainliest. xx

Answer: well there's no picture or model of the problem

Step-by-step explanation:

So what I can say is think about what line passes through what I'm assuming the lines that the numbers label, then find the slope of that line that passed through them.

Answer:

x is an unknown quantity whose value is determined based on any algebraic equation it is used in.

Step-by-step explanation:

Answer:

15 small boxes and 5 big boxes

Step-by-step explanation:

5 x 3 = 15

15 x 35 = 525

5 x 65 = 325

525 + 325 = 850

Answer:

34 ice cream cones

Step-by-step explanation:

1.20 - .43 = .77

26 - .77 n > 0

n > 33.77

Answer:

I think it is 4 to 3

Step-by-step explanation:

if I am wrong I'm sorry

Answer:

4-3

Step-by-step explanation:

Hello!

[tex]\large\boxed{f(x) = 3x - 28}[/tex]

If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):

f(x) = (3x - 18) - 10

Simplify:

f(x) = 3x - 28

Answer:

1. B

2. C

3. C

Step-by-step explanation:

Answer:

1. D: 6      2.A:y=0.1x + 2      3.C

Step-by-step explanation:

1. In y = mx + b, b represents the y-intercept. The equation is alreayd in y = mx +b, so we can see that 6 is b, making it the y-inetrcept.

2. A is the only one written in slope intercept form, or y = mx + b.

3. -8x + 4y = 10 written in slope intercept form is y  = 2x + 5/2. The slope is shown by 2.

Answer:

Step-by-step explanation:

given that both angles are the same, it is an equilateral right triangle.

we can use Pythagorean's theorem

[tex]a^2 + b^2 = c^2\\(\sqrt{6})^2+(\sqrt{6})^2= c^2\\ 12 = c^2 \\c = \sqrt{12} = \sqrt{4*3} = 2\sqrt{3}[/tex]

Answer:

9.2

Step-by-step explanation:

THE POWER OF MULTIPLICATION

Answer:

27, 20, 60

Step-by-step explanation:

We use the equation

(x) + (x - 7) + (3 * (x - 7)) = 107

= x + x - 7 + 3 * (x - 7) = 107

= 2x - 7 + 3(x - 7) = 107

Add  7 on both sides

= 2x + 3(x - 7) = 114

Expand the 3

= 2x + 3x - 21 = 114

= 5x - 21 = 114

Add 21 on both sides

= 5x = 135

Divide 5 on both sides

= 5x/5 = 135/5

= x = 27

Plug the functions in

(27) + (27 - 7) + (3 * (27-7)) = 107

You would get

27 + 20 + 60 = 107, therefore the numbers are 27, 20, 60

Answer:

All answer below

Step-by-step explanation:

Equation of the Line

The standard form of the equation of a line is shown below:

Ax+By=C

And the slope-intercept form is:

y = mx + b

Where m is the slope and b is the y-intercept.

If we wanted to convert from the first form to the second we will perform the following operations:

Subtract Ax:

By = -Ax + C

Divide by B:

y = -A/Bx+C/B

The coefficient of x is -A/B (fill the blank with that text) and the y-intercept is C/B (again, fill in the blank)

The slope m is the coefficient of x, m=-A/B and it can be found it you divide the opposite of A by B. The selected option is correct.

The y-intercept is the division of C by B. Again, the selected option is correct.

Answer:

Step-by-step explanation:

21=1/2 so if thats 21 the answer would be 2/3=34