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2 years ago

Name a number that is an integer, but not whole number.

Mathematics

1 answer:

tekilochka [14]2 years ago

4 0

Answer:

-1

Step-by-step explanation:

All negative integers are not whole numbers

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Find a second-degree polynomial (that is, an equation of the form y =a + bx + cx2 d that goes through the three points (0, 1), (

Lostsunrise [7]

Answer:

$y = 1 - x^2$

Step-by-step explanation:

we're given three points (0,1),(1,0) and (-1,0). and and equation of a parabola

$y = a + bx + cx^2$

we can plug in each of the coordinates, and 3 equations

(x,y) = (0,1)

$1 = a + b(0) + c(0)^2$

$a=1\quad\quad\Rightarrow A$

(x,y) = (1,0)

$0 = a + b(1) + c(1)^2$

$a + b + c=0\quad\quad\Rightarrow B$

(x,y) = (-1,0)

$0 = a + b(-1) + c(-1)^2$

$a - b + c=0\quad\quad\Rightarrow C$

These are are three equations, well we can simultaneously solve them to find the values of a, b and c.

we already found that, a = 1. so we plug this value in the rest of the equations. we'll use equation B.

$a + b + c=0$

$1 + b + c=0$

$b=-1-c$

we can substitute this value of b and a = 1, equation C

$a - b + c=0$

$1 -(-1-c) + c=0$

$1 +1+c + c=0$

$2+2c=0$

$c=-1$

we can use this value of c back in b

$b=-1-(-1)$

$b=0$

hence our equation of the 2-degree polynomial will be:

$y = a + bx + cx^2$

$y = 1 + (0)x + (-1)x^2$

$y = 1 - x^2$

and this polynomial indeed passes through all the points (0, 1), (1, 0), and (-1, 0).

And since these are the only solutions to the simultaneous equation we solved (i.e. we have single values of a,b and c). there's no other possibility.

8 0

3 years ago

The weather forecast warns of morning fog today. you may only be able to see 0.6 mile in front of you. how many feet is this?

Kamila [148]

This a problem of conversion of units. to convert units, you must know at what values are each units equal. for this problem we must convert miles to feet. so 1 mile is equivalent to 5280 ft. so the answer is :
length in feet = 0.6 miles ( 5280 ft / 1 mile)
length in feet = 3168 feet

4 0

3 years ago

Assign two variables for each problem, and write the equations. Do not solve.

Xelga [282]

Call the number of trumpet players "T" and the number of horn players "H".

We can use the given information to set up equations:

1."<span>the number of trumpet players is 4 times the number of French horn players"
$T=4H$

2. "</span><span>There are 35 trumpet and French horn players in the band."
$T+H=35$

If you were asked to solve you could now do it by substitution:
$4H+H=35$
$5H=35$
$H=7$
$T=4H$
$T=4(7)$
$T=28$ </span>

7 0

3 years ago

Column vector (4, 1) has been rotated to column vector (-1, 4). Which matrix carried out the transformation?

OLEGan [10]

Answer:

C.(3|-4)

Step-by-step explanation:

5 0

3 years ago

If 15% of x is 42, what is x?

Blizzard [7]

Answer:

x=280

Step-by-step explanation:

We have, 15% × x = 42

or,

100

× x = 42

Multiplying both sides by 100 and dividing both sides by 15,

we have x = 42 ×

100

x = 280

If you are using a calculator, simply enter 42×100÷15, which will give you the answer.

6 0

3 years ago

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