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3 years ago

List 4 rational numbers between -2 and -1

Mathematics

2 answers:

Charra [1.4K]3 years ago

5 0

Answer:

-1.25

-1.30

-1.50

-1.75

Step-by-step explanation:

There's more than 4 correct answers but...

3241004551 [841]3 years ago

3 0

Answer:

1.75, -1.875, -1.9375, -1.46875

Step-by-step explanation:

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option 1 drop down are: even-odd identity, quotient identity, Pythagorean identity, double-number identity.option 2 drop down ar

motikmotik

Answer:

The equation is given below as

$\frac{\cos2x}{\cos x}=\cos x-\sin x\tan x$

Step 1:

We will work on the left-hand side, we will have

$\begin{gathered} \cos x-\sin x\tan x \\ \text{recall that,} \\ Quoitent\text{ identity is} \\ \tan x=\frac{\sin x}{\cos x} \end{gathered}$

By substituting the identity above, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x}=\cos x-\frac{\sin^2x}{\cos x} \\ \end{gathered}$

Here, we will make use of the quotient identity

Step 2:

By writings an expression, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x} \\ \cos x-\sin x\tan x=\frac{\cos^2x-\sin^2x}{\cos x} \end{gathered}$

Here, we will use the definition of subtraction

$\cos x-\frac{\sin^2x}{\cos x}$

Step 3:

We will apply the double number identity given below

$\begin{gathered} \cos 2\theta=\cos (\theta+\theta)=\cos ^2\theta-\sin ^2\theta \\ \cos 2x=cos(x+x)=\cos ^2x-\sin ^2x \end{gathered}$

By applying this, we will have

$\frac{\cos^2x-\sin^2x}{\cos x}=\frac{\cos2x}{\cos x}$

Here, we will use the double number identity

$\frac{\cos^2x-\sin^2x}{\cos x}$

5 0

1 year ago

According to the rational root theorem, what are all the potential rational roots of f(x)=5x^3-7x+11

Genrish500 [490]

Answer:

$\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}$

Step-by-step explanation:

The given polynomial function is

$f(x)=5x^3-7x+11$

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

$\pm\frac{11}{1}=\pm11$

$\pm\frac{1}{1}=\pm1$

$\pm\frac{11}{5}$

$\pm\frac{1}{5}$

4 0

4 years ago

Given f(x) =3x-7, find f(x+1)+f(1)

ELEN [110]

Answer:

3x - 8

Step-by-step explanation:

To find f(x + 1) substitute x = x + 1 into f(x)

f(x + 1) = 3(x + 1) - 7 = 3x + 3 - 7 = 3x - 4

Similarly

f(1) = 3(1) - 7 = 3 - 7 = - 4

Hence

f(x + 1) + f(1) = 3x - 4 - 4 = 3x - 8

3 0

3 years ago

What is the factored form of _________?

enyata [817]

Answer:

Step-by-step explanation:

The expression given is a difference of cubes and factors as

a³ - b³ = (a - b)(a² + ab + b²)

8 $x^{24}$ = (2 $x^{8}$ )³ ⇒ a = 2 $x^{8}$

27 $y^{6}$ = (3y²)³ ⇒ b = 3y²

Hence 2 factors are

(2 $x^{8}$ - 3y²) and

((2 $x^{8}$ )² + (2 $x^{8}$ × 3y²) + (3y²)²)

= (4 $x^{16}$ + 6 $x^{8}$ y² + 9 $y^{4}$ )

Hence the factored form of the expression is C

4 0

3 years ago

Dennis made a scale drawing of his backyard using the scale 1/4 inch =3 feet the rectangular swimming pool was 2 inches long and

seraphim [82]

(1/4)x = 2

x = 8 x 3 = 24 feet long

(1/4)x = 1

x = 4 x 3 = 12 feet wide

24ft x 12ft = 288ft^2

3 0

3 years ago