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2 years ago

Here is a growing pattern of squares:

Mathematics

1 answer:

Flura [38]2 years ago

3 0

Answer:

squares in Step n. f (n) = 8 + 3(n – 1} for n > 1 /(1) = 8, /{n2) = 3+f (n – 1) for n > 2 01)= 8, 7 (n) = 8= ƒ(n=1) forn> 2 Df1)= 3 -8 (n- 1) forn > 1 Of (n) - 37 + 5 for n > 1 32+5 for n>1 CS (n) 3+ an forn 1

Step-by-step explanation:

You might be interested in

Which is the correct way to solve the given equation

Karolina [17]

Option 2. $x = \frac{4 \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}$ shows the correct way to use the quadratic formula to solve the given equation.

Step-by-step explanation:

Step 1:

For an equation of the form $ax^{2} +bx+c=0$ the solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ .

Here a is the coefficient of $x^{2}$ , b is the coefficient of x and c is the constant term.

$x^{2} -4x=21$ can also be written as $x^{2} -4x-21=0.$

Comparing $x^{2} -4x-21=0$ with $ax^{2} +bx+c=0$ , we get that a is 1, b is -4 and c is -21.

To get the solution, we substitute the values of a, b, and c in $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ .

Step 2:

Substituting the values, we get

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}= \frac{-(-4) \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}.$

$\frac{-(-4) \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)} = \frac{4 \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}.$

This is option 2.

7 0

4 years ago

At age 16, Estelle weighed 110lbs.

Cloud [144]

Answer:

Her weight is increase by 18 lbs over past five years and the slope is 3.6 lbs per year.

Step-by-step explanation:

Given information: Estelle weight is

At age 16 = 110 lbs

At age 21 = 128 ibs

Increase in her weight over the past 5 years is the difference of weight at age 21 and at age 16.

Increase in her weight over the past 5 years = 128 - 110 = 18

Her weight is increase by 18 lbs over past five years.

Let x=age and y=weight, then the weight function passes through the points (16,110) and (21,128).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the slope of the line is

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

Using the above formula we get

$m=\frac{128-110}{21-16}$

$m=\frac{18}{5}$

$m=3.6$

Therefore the slope is 3.6 lbs per year.

7 0

3 years ago

Pleaseeee heeellllppppp

yan [13]

Answer:

i believe it's 1/3

Step-by-step explanation:

4 0

3 years ago

Determine the side length.

White raven [17]

Answer:

Step-by-step explanation:

The given shape is a right angled triangle.

Here,

Hypotenuse = 2√3

Another side = √3

Let the missing side length be " x ".

By Hypotenuse theorem,

x² + ( √3 )² = ( 2√3 )²

x² + 3 = 12

x² = 12 - 3

x² = 9

x² = 3²

x = 3

Therefore, the side length is 3.

8 0

2 years ago

You deposit $6000 in and account earning 2% interest compounded monthly How much will you have in the account in 10 years

ella [17]

Answer:

14400 $. do u need an explanation:

so if 6000 is 100 percent

then ??? is 2 percent

to find out that you need to 6000×2 and divide by 2=120$

so you get this monthly.

in ten years you will have 14400 because

10 year=120 month

120month×120$=14400.

btw I cant speak English well. I hope it will help

6 0

3 years ago