All categories

4 years ago

F(x) = x3 - 7 find(3)

Mathematics

1 answer:

ryzh [129]4 years ago

4 0

____________________________________________________

Plug in 3 to x:

f(x) = 3³ - 7

Solve:

f(x) = 3³ - 7

f(x) = 3 · 3 · 3 - 7

f(x) = 9 · 3 - 7

f(x) = 27 - 7

f(x) = 20

____________________________________________________

You might be interested in

2( 4c - 7 ) < 8 ( c - 1) - 6 if possible

4vir4ik [10]

Sure! Let's do this in order.
First, we can simplify the left side with the distributive property, getting us
8c-14
Next, we can simplify the right side with the distributive property, getting us
8c-8-6.
That gives us 8c-14<8c-8-6.
We can subtract 8c from both sides, getting us
-14<-8-6
Simplify the right side to get
-14<-14
This inequality has no solution. This is because the variable is gone, and the remaining equation isn't true.

4 0

3 years ago

^^^^^^^^^^^^^^^^^^^^

Sladkaya [172]

<h2>Hello!</h2>

The answer is:

The correct option is:

A) $74.55

To calculate how much does Sonya pay for the four pairs altogether, we need to calculate the original price after the 50% discount and the taxes.

Calculating we have:

$PriceAfterDiscount=35*50(percent)=35*\frac{50}{100}\\\\35*\frac{50}{100}=35*0.5=17.5$

We have that before the tax, the price of the shoes was $17.5, then, calculating the price after the taxes, we have:

$AfterTaxes=17.5(1+6.5(percent))=17.5(1+\frac{6.5(percent)}{100})\\\\AfterTaxes=17.5(1+\frac{6.5(percent)}{100})=17.5*(1+0.065)\\\\AfterTaxes=17.5*(1+0.065)=17.5*1.065=18.637$

So, we have that the price after discount and the taxes is $18.637 per each pair of shoes.

Hence, the price for the four pairs of shoes will be:

$TotalPrice=4*18.637=74.548=74.55$

Have a nice day!

8 0

3 years ago

Please help!! This is for a test and I'm really confused. If possible, please explain how you got your answer for future referen

tigry1 [53]

Answer:

x(x+5)[(x+5)² +3(x-1)]

Step-by-step explanation:

(x²+5x)(x²+13x+22)

Expand

(x²+5x) (x²+13x+22) by multiplying each term in the first expression by each term in the second expression.

x²x²+x²(13x)+x²⋅22+5x⋅x²+5x(13x)+5x⋅22

Simplify terms.

x⁴+18x³+87x²+110x

6 0

3 years ago

Challenge Yael used to have a square garage with 370 ft ^2of floor space. She recently built an

Yuki888 [10]

Scale factor of area is the square of the scale factor of length

The required values are;

The length of one sides of the garage was originally approximately <u>19.2 ft.</u>

The length of one of the sides of the garage is now approximately <u>23.6 feet</u> long

The percentage increase in length is approximately <u>22.5 %</u>

Reason:

The given parameters are;

The area of the square garage = 370 ft.²

The area of the new garage has 50% more space

Required;

Part A

The initial side length

The initial side length, given to the nearest tenth, <em>s</em>, is the square root of the area, <em>A</em>, given as follows;

s = √(370 ft.²) ≈ 19.2 ft.

Part B

The side was increased by 50%, to give,

370 + 0.5×370 = 555

The new area of the garage = 555 ft.²

The side length of the new garage, s = √(555) ≈ 23.6

The side of the garage now is 23.6 ft.

Part C

The percentage increase is given as follows;

$The \ percentage \ increase \ in \ length = \dfrac{New \ length - Initial \ length}{Initial \ length }$

$The \ percentage \ increase \ in \ length = \dfrac{\sqrt{555} - \sqrt{370} }{\sqrt{370} } \times 100 \approx 22.5 \%$

The percentage increase in length of the side of the garage is approximately 22.5 %

Learn more here:

brainly.com/question/7639412

3 0

2 years ago

Students are making the scenery for a school play. They use a large piece of plywood to represent the front of a house, with a s

Vera_Pavlovna [14]

Considering the figures, the area that will be painted is of 38.9 square feet.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle of length l and width w is given by:

$A = lw$

<h3>What is the area of a triangle?</h3>

The area of a triangle of base b and height h is given by:

$A = \frac{bh}{2}$

<h3>What is the area of a semi-circle?</h3>

The area of a semi-circle of radius r is given by:

$A = 0.5\pi r^2$

In this problem:

The rectangle with l = 6 ft and w = 8 ft will be painted, along with the triangle of dimensions b = 8 ft and h = 4 ft.

The semi-circle with r = 4 ft will not be painted.

Hence, the area that will be painted, in square feet, is given by:

$A = 6 \times 8 + \frac{8(4)}{2} - 0.5\pi 4^2 = 64 - 8\pi = 38.9$

More can be learned about the area of a figure at brainly.com/question/10489198

3 0

3 years ago