Is 8.26 an irrational number

8=3a-4 please help quickly plssssssss

Bad White [126]

Answer:

a = 4

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Which of the following trigonometric expressions is equivalent to csc(-112°)? csc(68°)

Romashka-Z-Leto [24]

Answer:

csc(-112°)=-csc(68°)

Step-by-step explanation:

Since cosec(x) and sin(x) are reciprocals of each other,

cosec(-112°)= $\frac{1}{sin(-112^{\circ})}$

= $\frac{1}{-sin(112^{\circ})}$

= $\frac{1}{-sin(180^{\circ}-68^{\circ})}$ (since 112=180-68)

= $\frac{1}{-sin(68^{\circ})}$ (since sin(180-x)=sinx)

= $\frac{-1}{sin(68^{\circ})}$ (since $\frac{a}{-b}= \frac{-a}{b}$ )

=-cosec(68°)

4 0

4 years ago

Read 2 more answers

f(x)=x^2; vertical shrink by a factor of 1/2 and a reflection in the y-axis, followed by a translation 1 unit down

NeX [460]

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down

is g(x) = $\frac{1}{2}$ x² - 1

Step-by-step explanation:

Lets revise:

1. The vertical shrink

A vertical shrinking is the squeezing of the graph toward the x-axis.

if 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically

shrunk by multiplying each of its y-coordinates by k

2. The reflection

If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

3. Vertical translation

If the function f(x) translated vertically up by m units, then its image

is g(x) = f(x) + m

If the function f(x) translated vertically down by m units, then its image

is g(x) = f(x) - m

Now let us solve the problem

∵ f(x) = x²

∵ f(x) shrunk by a factor of $\frac{1}{2}$

∴ The image of f(x) = $\frac{1}{2}$ x²

∵ The image of f(x) reflected across y-axis

∴ The sign of x will change

∴ The new image of f(x) = $\frac{1}{2}$ (-x)²

∵ The new image of f(x) translated 1 unit down

∴ We will subtract the new image of f(x) by 1

∴ The last image of f(x) is g(x) = $\frac{1}{2}$ (-x)² - 1

V.I.Note:

(-x)² = x² because even exponents reject the negative sign

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down

is g(x) = $\frac{1}{2}$ x² - 1

The attached graph for more understand

Learn more:

you can learn more about transformation in brainly.com/question/2415963

#LearnwithBrainly

4 0

3 years ago

I need help ASAP please

ElenaW [278]

What question 4 or 5?oh....

4 0

3 years ago

Give the expression 4n^2t/2n^t-1, write the expression as a binomial.

lubasha [3.4K]

binomial is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.

We sometimes need to expand binomials as follows:

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = a3 + 3a2b + 3ab2 + b3

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4

(a + b)5 = a5 + 5a4b + 10a3b2 + 10a2b3 + 5ab4 + b5

Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.

Pascal's Triangle

We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

You can use this pattern to form the coefficients, rather than multiply everything out as we did above.

The Binomial Theorem

We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.

Properties of the Binomial Expansion (a + b)nThere are \displaystyle{n}+{1}n+1 terms.The first term is an and the final term is bn.Progressing from the first term to the last, the exponent of a decreases by \displaystyle{1}1 from term to term while the exponent of b increases by \displaystyle{1}1. In addition, the sum of the exponents of a and b in each term is n.If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.

7 0

3 years ago