All categories

2 years ago

What is the most logical first step in solving the equation x2 + 6x +9 = 10?

Mathematics

1 answer:

Shalnov [3]2 years ago

8 0

Answer:

Step-by-step explanation:

The logical step is to <u>factorize the left side of the equation</u>, which becomes:

(x + 3)² = 10

Then, you can take the square root on both sides.

x + 3 = ±√10
x = ±√10 - 3

Not asked, but good to understand the procedure regardless.

You might be interested in

What is the slope of the line passing through the points (3,5) and (-1,7)?

Maurinko [17]

-1/2

To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)

Substitute the values given for the xs and ys:

(7-5)/(-1-3)

2/(-4)

simplify: -1/2

3 0

3 years ago

Read 2 more answers

Solve the compound inequality 6b < 42 or 4b + 12 > 8. (1 point)

Nitella [24]

6b<42
b<7
4b+12>8
4b>-4
b>-1
b>-1 or b<7

8 0

3 years ago

Find the slope of the line that contains the following points. r(-2, 4), s(6, -2)

tangare [24]

Finding the slope using two points:

The formula for slope is

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case...

$y_{2} =-2\\y_{1} =4\\x_{2} =6\\x_{1} =-2$

^^^Plug these numbers into the formula for slope...

$\frac{-2 - 4}{6 - (-2)}$

$\frac{-6}{8}$

^^^Can be further simplified to...

$\frac{-3}{4}$

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0

3 years ago

Read 2 more answers

The cost in dollars, y, of a large pizza with x toppings from Pat’s Pizzeria can be modeled by a linear function. A large pizza

Lisa [10]

Answer: b. $22.75

Step-by-step explanation:

Given : A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.

Let x denotes the number of toppings and y be the cost of that pizza.

Then, $y=mx+c$ , m= cost per topping and c= cost of pizza without any topping.

From the given information.

c= $14

Function of cost becomes = $y=mx+14$

For x= 2 and y= 17.50, we have

$17.50=m(2)+14$

tex]3.50=m(2)[/tex] [Subtract 14 from both sides]

$m=\$ 1.75$ [Divide both sides by 2]

For c= 14 and m =1.75 , our function becomes.

$y=1.75x+14$

Now, for x= 5

$y=1.75(5)+14=8.75+14=22.75$

Hence, the cost of a pizza with 5 toppings = $22.75

5 0

3 years ago

Read 2 more answers

One of the numbers increased by 10. How did the average of the two numbers change?

bezimeni [28]

Hello from MrBillDoesMath!

Answer:

The average is increased by 5

Discussion:

Let x be one number and y the other number.

Average of x,y = (1/2) ( x + y)

if, say, x is increased by 10 then the average of the numbers is

( ( x+ 10) + y) /2

= (x+y)/2 + 10/2 => (x+y)/2 is the average of the original numbers

= (x+y)/2 + 5

So the average is increased by 5

Thank you,

MrB

3 0

3 years ago

Read 2 more answers