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3 years ago

To solve the equation below by completing the square, what is your first step? 3x^2+18x=21

Mathematics

1 answer:

Margarita [4]3 years ago

6 0

Answer:

Multiply both sides of the equation by 1/3

Step-by-step explanation:

3x^2+18x=21

The first step is to get the x term with a coefficient of 1, so divide by 3 on both sides of the equation

This is the same as multiplying by 1/3

1/3 * (3x^2+18x)=21*1/3

x^2 +6x = 7

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A manufacturer earns Rs4500 in the first month and Rs 6000 in second month. On plotting these points a manufacturer observes a l

UkoKoshka [18]

Answer:

$f(x) = 1500x +3000$

Step-by-step explanation:

Given

Represent the months with x and the earnings with y.

So:

$(x_1,y_1) = (1,4500)$

$(x_2,y_2) = (2,6000)$

Required

Determine the linear function

First, calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{6000 - 4500}{2 - 1}$

$m = \frac{1500}{1}$

$m = 1500$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

$y = 1500(x - 1) + 4500$

$y = 1500x - 1500 + 4500$

$y = 1500x +3000$

As a function, we have:

$f(x) = 1500x +3000$

7 0

3 years ago

Which statement is true? All squares are rectangles. All quadrilaterals are rectangles. All parallelograms are rectangles. All r

azamat

Answer:

all squares are rectangles is true

Step-by-step explanation:

4 0

3 years ago

What is the number writren in standard form six million, seven hundred ,twenty

enot [183]

6,720,000. I hope that helps!

4 0

3 years ago

Read 2 more answers

Identify the slope represented in the graph below.

Vedmedyk [2.9K]

Answer:
The slope is -2
Explanation:
I choose two points on the graph (0,-2) and (-1,0) and put it into the slope form using two coordinate pairs which is y-y/x-x and got -2/1 which simplifies down to -2

5 0

2 years ago

To graph the inequality x > -3, draw an open circle on -3 and shade to the left.

dedylja [7]

False, you graph an open circle on -3 and shade to the right because x must be larger than -3 and it can not equal -3

8 0

2 years ago