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4 years ago

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

Mathematics

1 answer:

ryzh [129]4 years ago

4 0

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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

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There are 267 students and 21 adults going on a field trip an equal number of people will ride on each bus there are 9 buses how

DiKsa [7]

Answer:

The number of people on each bus is 32

Step-by-step explanation:

We are given

Total number of students =267

Total number of adults =21

So,

Total number of passengers = ( Total number of students)+(Total number of adults)

now, we can plug values

Total number of passengers =267+21

Total number of passengers =288

We are given

Number of buses=9

so,

Number of passengers on each bus = (total number of passengers)/( Number of buses)

now, we can plug values

Number of passengers on each bus is

$=\frac{288}{9}$

$=32$

So,

The number of people on each bus is 32

6 0

3 years ago

Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6

ElenaW [278]

<h2>Answer</h2>

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

Or as ordered pairs: $(\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)$

<h2>Explanation</h2>

Lets solve our system of equations step by step

$x^2+y^2=6$ equation (1)

$x^2-y=6$ equation (2)

1. Solve for $x^2$ in equation (2)

$x^2-y=6$

$x^2=6+y$ equation (3)

2. Replace equation (3) in equation (1) and solve for $y$

$x^2+y^2=6$

$6+y+y^2=6$

$y^2+y=0$

$y(y+1)=0$

$y=0$ or $y=-1$

3. Replace the values of $y$ in equation (3) and solve for $x$

- For $y=0$

$x^2=6+y$

$x^2=6$

$x=\sqrt{6}$ or $x=-\sqrt{6}$

- For $y=-1$

$x^2=6+y$

$x^2=6-1$

$x^2=5$

$x=\sqrt{5}$ or $x=-\sqrt{5}$

So, the solutions of our system of equation are:

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

6 0

3 years ago

Read 2 more answers

Write 0.87 as a fraction in simplest form.

TEA [102]

Write the decimal number as a fraction
(over 1)
0.87 = 0.87 / 1

Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's

Numerator (N)
N = 0.87 × 10 × 10 = 87
Denominator (D)
D = 1 × 10 × 10 = 100

N / D = 87 / 100

Simplifying our fraction

= 87/100

<span>= 87/100</span>

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3 years ago

Find the length of the side of an equilateral triangle if the perimeter is 18cm.

scoundrel [369]

Answer:

6 cm. triangles have 3 sides, and total length is 18 cm. divide 18 by 3 equal sides to get 6 cm

7 0

3 years ago

A cruise ship is traveling at a speed of 20 knots . A knot is approximately equal to 1.151 miles per hour. What is the approxima

Mrrafil [7]

1 mile = 1760 yards
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40,515.2 / 60 = 675.243~
675.243~ / 60 = 11.2542~
They are traveling 11.25 yards per second
I took the number of knots multiplied by the approximate miles per hour equal
Then multiplied that by the number of yards in a mile, and then divided that by the number of minutes in an hour, and divided that by the number of seconds in a minute. That is how I got the answer, I hope it helps!

6 0

3 years ago